{"id":37108,"date":"2019-10-31T22:15:47","date_gmt":"2019-10-31T19:15:47","guid":{"rendered":"https:\/\/prohoster.info\/blog\/diskretnaya-matematika-dlya-wms-algoritm-szhatiya-tovarov-v-yachejkah-chast-1\/"},"modified":"2019-10-31T22:15:47","modified_gmt":"2019-10-31T19:15:47","slug":"diskretnaya-matematika-dlya-wms-algoritm-szhatiya-tovarov-v-yachejkah-chast-1","status":"publish","type":"post","link":"https:\/\/prohoster.info\/sq\/blog\/novosti-interneta\/diskretnaya-matematika-dlya-wms-algoritm-szhatiya-tovarov-v-yachejkah-chast-1","title":{"rendered":"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/89e9927c86cd36ee5b4ab37b5c0753c9.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n\u0412 \u0441\u0442\u0430\u0442\u044c\u0435 \u043c\u044b \u0440\u0430\u0441\u0441\u043a\u0430\u0436\u0435\u043c, \u043a\u0430\u043a \u0440\u0435\u0448\u0430\u043b\u0438 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0443 \u043d\u0435\u0445\u0432\u0430\u0442\u043a\u0438 \u0441\u0432\u043e\u0431\u043e\u0434\u043d\u044b\u0445 \u044f\u0447\u0435\u0435\u043a \u043d\u0430 \u0441\u043a\u043b\u0430\u0434\u0435 \u0438 \u043e \u0440\u0430\u0437\u0440\u0430\u0431\u043e\u0442\u043a\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430 \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u043e\u0439 \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0438 \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0442\u0430\u043a\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\u0438. \u0420\u0430\u0441\u0441\u043a\u0430\u0436\u0435\u043c \u043e \u0442\u043e\u043c, \u043a\u0430\u043a \u043c\u044b \u00ab\u0441\u0442\u0440\u043e\u0438\u043b\u0438\u00bb \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u043c\u043e\u0434\u0435\u043b\u044c \u0437\u0430\u0434\u0430\u0447\u0438 \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0438, \u0438 \u043e \u0442\u043e\u043c \u0441 \u043a\u0430\u043a\u0438\u043c\u0438 \u0442\u0440\u0443\u0434\u043d\u043e\u0441\u0442\u044f\u043c\u0438 \u043c\u044b \u043d\u0435\u043e\u0436\u0438\u0434\u0430\u043d\u043d\u043e \u0441\u0442\u043e\u043b\u043a\u043d\u0443\u043b\u0438\u0441\u044c \u043f\u0440\u0438 \u043e\u0431\u0440\u0430\u0431\u043e\u0442\u043a\u0435 \u0432\u0445\u043e\u0434\u043d\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445 \u0434\u043b\u044f \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430.<\/p>\n<p>\u0415\u0441\u043b\u0438 \u0432\u0430\u043c \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u044b \u043f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438 \u0432 \u0431\u0438\u0437\u043d\u0435\u0441\u0435 \u0438 \u0432\u044b \u043d\u0435 \u0431\u043e\u0438\u0442\u0435\u0441\u044c \u0436\u0435\u0441\u0442\u043a\u0438\u0445 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0445 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0439 \u0444\u043e\u0440\u043c\u0443\u043b \u043d\u0430 \u0443\u0440\u043e\u0432\u043d\u0435 5-\u0433\u043e \u043a\u043b\u0430\u0441\u0441\u0430, \u0442\u043e \u0434\u043e\u0431\u0440\u043e\u0433\u043e \u043f\u043e\u0436\u0430\u043b\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u0434 \u043a\u0430\u0442!<\/p>\n<p>\u0421\u0442\u0430\u0442\u044c\u044f \u0431\u0443\u0434\u0435\u0442 \u043f\u043e\u043b\u0435\u0437\u043d\u0430 \u0442\u0435\u043c, \u043a\u0442\u043e \u0432\u043d\u0435\u0434\u0440\u044f\u0435\u0442 <i>WMS<\/i>-\u0441\u0438\u0441\u0442\u0435\u043c\u044b, \u0440\u0430\u0431\u043e\u0442\u0430\u0435\u0442 \u0432 \u043e\u0442\u0440\u0430\u0441\u043b\u0438 \u0441\u043a\u043b\u0430\u0434\u0441\u043a\u043e\u0439 \u0438\u043b\u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0439 \u043b\u043e\u0433\u0438\u0441\u0442\u0438\u043a\u0438, \u0430 \u0442\u0430\u043a\u0436\u0435 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0441\u0442\u0430\u043c, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u0443\u044e\u0442\u0441\u044f \u043f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u044f\u043c\u0438 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438 \u0432 \u0431\u0438\u0437\u043d\u0435\u0441\u0435 \u0438 \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0435\u0439 \u043f\u0440\u043e\u0446\u0435\u0441\u0441\u043e\u0432 \u043d\u0430 \u043f\u0440\u0435\u0434\u043f\u0440\u0438\u044f\u0442\u0438\u0438.<\/p>\n<p><noindex><a rel=\"nofollow\" name=\"habracut\"><\/a><\/noindex><\/p>\n<h4>\u0427\u0430\u0441\u0442\u044c \u0432\u0432\u043e\u0434\u043d\u0430\u044f<\/h4>\n<p>\n\u042d\u0442\u0430 \u043f\u0443\u0431\u043b\u0438\u043a\u0430\u0446\u0438\u044f \u043f\u0440\u043e\u0434\u043e\u043b\u0436\u0430\u0435\u0442 \u0446\u0438\u043a\u043b \u0441\u0442\u0430\u0442\u0435\u0439, \u0432 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u043c\u044b \u0434\u0435\u043b\u0438\u043c\u0441\u044f \u0441\u0432\u043e\u0438\u043c \u0443\u0441\u043f\u0435\u0448\u043d\u044b\u043c \u043e\u043f\u044b\u0442\u043e\u043c \u0432\u043d\u0435\u0434\u0440\u0435\u043d\u0438\u044f \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u043e\u0432 \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0438 \u0432 \u0441\u043a\u043b\u0430\u0434\u0441\u043a\u0438\u0435 \u043f\u0440\u043e\u0446\u0435\u0441\u0441\u044b. <\/p>\n<p>N\u00eb <noindex><a rel=\"nofollow\" href=\"https:\/\/habr.com\/ru\/post\/463289\/\">artikulli i m\u00ebparsh\u00ebm<\/a><\/noindex> \u043e\u043f\u0438\u0441\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u0441\u043f\u0435\u0446\u0438\u0444\u0438\u043a\u0430 \u0441\u043a\u043b\u0430\u0434\u0430, \u043d\u0430 \u043a\u043e\u0442\u043e\u0440\u043e\u043c \u043d\u0430\u043c\u0438 \u0431\u044b\u043b\u0430 \u0432\u043d\u0435\u0434\u0440\u0435\u043d\u0430 <i>WMS<\/i>-\u0441\u0438\u0441\u0442\u0435\u043c\u0430, \u0430 \u0442\u0430\u043a\u0436\u0435 \u0440\u0430\u0441\u0441\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u0447\u0435\u0433\u043e \u043d\u0430\u043c \u043f\u043e\u0442\u0440\u0435\u0431\u043e\u0432\u0430\u043b\u043e\u0441\u044c \u0440\u0435\u0448\u0430\u0442\u044c \u0437\u0430\u0434\u0430\u0447\u0443 \u043a\u043b\u0430\u0441\u0442\u0435\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u043f\u0430\u0440\u0442\u0438\u0439 \u043e\u0441\u0442\u0430\u0442\u043a\u043e\u0432 \u0442\u043e\u0432\u0430\u0440\u043e\u0432 \u043f\u0440\u0438 \u0432\u043d\u0435\u0434\u0440\u0435\u043d\u0438\u0438 <i>WMS<\/i>-\u0441\u0438\u0441\u0442\u0435\u043c\u044b, \u0438 \u043e \u0442\u043e\u043c, \u043a\u0430\u043a \u043c\u044b \u044d\u0442\u043e \u0434\u0435\u043b\u0430\u043b\u0438.<\/p>\n<p>\u041a\u043e\u0433\u0434\u0430 \u043c\u044b \u0437\u0430\u043a\u043e\u043d\u0447\u0438\u043b\u0438 \u043f\u0438\u0441\u0430\u0442\u044c \u0441\u0442\u0430\u0442\u044c\u044e \u043f\u043e \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430\u043c \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0438 \u043e\u043d\u0430 \u043f\u043e\u043b\u0443\u0447\u0438\u043b\u0430\u0441\u044c \u043e\u0447\u0435\u043d\u044c \u0431\u043e\u043b\u044c\u0448\u043e\u0439, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u043a\u043e\u043f\u043b\u0435\u043d\u043d\u044b\u0439 \u043c\u0430\u0442\u0435\u0440\u0438\u0430\u043b \u043c\u044b \u0440\u0435\u0448\u0438\u043b\u0438 \u0440\u0430\u0437\u0431\u0438\u0442\u044c \u043d\u0430 2 \u0447\u0430\u0441\u0442\u0438:<\/p>\n<ul>\n<li>\u0412 \u043f\u0435\u0440\u0432\u043e\u0439 \u0447\u0430\u0441\u0442\u0438 (\u044d\u0442\u0430 \u0441\u0442\u0430\u0442\u044c\u044f) \u043c\u044b \u0440\u0430\u0441\u0441\u043a\u0430\u0436\u0435\u043c \u043e \u0442\u043e\u043c, \u043a\u0430\u043a \u043c\u044b \u00ab\u0441\u0442\u0440\u043e\u0438\u043b\u0438\u00bb \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u043c\u043e\u0434\u0435\u043b\u044c \u0437\u0430\u0434\u0430\u0447\u0438, \u0438 \u043e \u0442\u043e\u043c \u0441 \u043a\u0430\u043a\u0438\u043c\u0438 \u0431\u043e\u043b\u044c\u0448\u0438\u043c\u0438 \u0442\u0440\u0443\u0434\u043d\u043e\u0441\u0442\u044f\u043c\u0438 \u043c\u044b \u043d\u0435\u043e\u0436\u0438\u0434\u0430\u043d\u043d\u043e \u0441\u0442\u043e\u043b\u043a\u043d\u0443\u043b\u0438\u0441\u044c \u043f\u0440\u0438 \u043e\u0431\u0440\u0430\u0431\u043e\u0442\u043a\u0435 \u0438 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0438 \u0432\u0445\u043e\u0434\u043d\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445 \u0434\u043b\u044f \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430.<\/li>\n<li>\u0412\u043e \u0432\u0442\u043e\u0440\u043e\u0439 \u0447\u0430\u0441\u0442\u0438 \u043c\u044b \u0434\u0435\u0442\u0430\u043b\u044c\u043d\u043e \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044e \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430 \u043d\u0430 \u044f\u0437\u044b\u043a\u0435 <i>C++<\/i>, \u043f\u0440\u043e\u0432\u0435\u0434\u0435\u043c \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u044d\u043a\u0441\u043f\u0435\u0440\u0438\u043c\u0435\u043d\u0442 \u0438 \u0440\u0435\u0437\u044e\u043c\u0438\u0440\u0443\u0435\u043c \u043e\u043f\u044b\u0442, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u043b\u0438 \u0432 \u0445\u043e\u0434\u0435 \u0432\u043d\u0435\u0434\u0440\u0435\u043d\u0438\u044f \u0442\u0430\u043a\u0438\u0445 \u00ab\u0438\u043d\u0442\u0435\u043b\u043b\u0435\u043a\u0442\u0443\u0430\u043b\u044c\u043d\u044b\u0445 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0438\u0439\u00bb \u0432 \u0431\u0438\u0437\u043d\u0435\u0441-\u043f\u0440\u043e\u0446\u0435\u0441\u0441\u044b \u0437\u0430\u043a\u0430\u0437\u0447\u0438\u043a\u0430.<\/li>\n<\/ul>\n<p>\n\u041a\u0430\u043a \u0447\u0438\u0442\u0430\u0442\u044c \u0441\u0442\u0430\u0442\u044c\u044e. \u0415\u0441\u043b\u0438 \u0432\u044b \u0447\u0438\u0442\u0430\u043b\u0438 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0443\u044e \u0441\u0442\u0430\u0442\u044c\u044e, \u0442\u043e \u043c\u043e\u0436\u0435\u0442\u0435 \u0441\u0440\u0430\u0437\u0443 \u043f\u0435\u0440\u0435\u0445\u043e\u0434\u0438\u0442\u044c \u043a \u0433\u043b\u0430\u0432\u0435 \u00ab\u041e\u0431\u0437\u043e\u0440 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0445 \u0440\u0435\u0448\u0435\u043d\u0438\u0439\u00bb, \u0435\u0441\u043b\u0438 \u043d\u0435\u0442, \u0442\u043e \u043e\u043f\u0438\u0441\u0430\u043d\u0438\u0435 \u0440\u0435\u0448\u0430\u0435\u043c\u043e\u0439 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u044b \u0432 \u0441\u043f\u043e\u0439\u043b\u0435\u0440\u0435 \u043d\u0438\u0436\u0435.<\/p>\n<p><b class=\"spoiler_title\">\u041e\u043f\u0438\u0441\u0430\u043d\u0438\u0435 \u0440\u0435\u0448\u0430\u0435\u043c\u043e\u0439 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u044b \u043d\u0430 \u0441\u043a\u043b\u0430\u0434\u0435 \u0437\u0430\u043a\u0430\u0437\u0447\u0438\u043a\u0430<\/b><\/p>\n<h4>\u0423\u0437\u043a\u043e\u0435 \u043c\u0435\u0441\u0442\u043e \u0432 \u043f\u0440\u043e\u0446\u0435\u0441\u0441\u0430\u0445<\/h4>\n<p>\n\u0412 2018 \u0433\u043e\u0434\u0443 \u043c\u044b \u0441\u0434\u0435\u043b\u0430\u043b\u0438 \u043f\u0440\u043e\u0435\u043a\u0442 \u043f\u043e \u0432\u043d\u0435\u0434\u0440\u0435\u043d\u0438\u044e <i>WMS<\/i>-\u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043d\u0430 \u0441\u043a\u043b\u0430\u0434\u0435 \u00ab\u0422\u043e\u0440\u0433\u043e\u0432\u044b\u0439 \u0434\u043e\u043c \u00ab\u041b\u0414\u00bb \u0432 \u0433. \u0427\u0435\u043b\u044f\u0431\u0438\u043d\u0441\u043a\u0435. \u0412\u043d\u0435\u0434\u0440\u0438\u043b\u0438 \u043f\u0440\u043e\u0434\u0443\u043a\u0442 \u00ab1\u0421-\u041b\u043e\u0433\u0438\u0441\u0442\u0438\u043a\u0430: \u0423\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u0441\u043a\u043b\u0430\u0434\u043e\u043c 3\u00bb \u043d\u0430 20 \u0440\u0430\u0431\u043e\u0447\u0438\u0445 \u043c\u0435\u0441\u0442: \u043e\u043f\u0435\u0440\u0430\u0442\u043e\u0440\u044b <i>WMS<\/i>, \u043a\u043b\u0430\u0434\u043e\u0432\u0449\u0438\u043a\u0438, \u0432\u043e\u0434\u0438\u0442\u0435\u043b\u0438 \u043f\u043e\u0433\u0440\u0443\u0437\u0447\u0438\u043a\u043e\u0432. \u0421\u043a\u043b\u0430\u0434 \u0441\u0440\u0435\u0434\u043d\u0438\u0439 \u043e\u043a\u043e\u043b\u043e 4 \u0442\u044b\u0441. \u043c2, \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u044f\u0447\u0435\u0435\u043a 5000 \u0438 \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e SKU 4500. \u041d\u0430 \u0441\u043a\u043b\u0430\u0434\u0435 \u0445\u0440\u0430\u043d\u044f\u0442\u0441\u044f \u0448\u0430\u0440\u043e\u0432\u044b\u0435 \u043a\u0440\u0430\u043d\u044b \u0441\u043e\u0431\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u0441\u0442\u0432\u0430 \u0440\u0430\u0437\u043d\u044b\u0445 \u0440\u0430\u0437\u043c\u0435\u0440\u043e\u0432 \u043e\u0442 1 \u043a\u0433 \u0434\u043e 400 \u043a\u0433. \u0417\u0430\u043f\u0430\u0441\u044b \u043d\u0430 \u0441\u043a\u043b\u0430\u0434\u0435 \u0445\u0440\u0430\u043d\u044f\u0442\u0441\u044f \u0432 \u0440\u0430\u0437\u0440\u0435\u0437\u0435 \u043f\u0430\u0440\u0442\u0438\u0439, \u0442\u0430\u043a \u043a\u0430\u043a \u0435\u0441\u0442\u044c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e\u0441\u0442\u044c \u043e\u0442\u0431\u043e\u0440\u0430 \u0442\u043e\u0432\u0430\u0440\u0430 \u043f\u043e FIFO.<\/p>\n<p>\u0412 \u0445\u043e\u0434\u0435 \u043f\u0440\u043e\u0435\u043a\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f \u0441\u0445\u0435\u043c \u0430\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u0430\u0446\u0438\u0438 \u0441\u043a\u043b\u0430\u0434\u0441\u043a\u0438\u0445 \u043f\u0440\u043e\u0446\u0435\u0441\u0441\u043e\u0432 \u043c\u044b \u0441\u0442\u043e\u043b\u043a\u043d\u0443\u043b\u0438\u0441\u044c \u0441 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044e\u0449\u0435\u0439 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u043e\u0439 \u043d\u0435\u043e\u043f\u0442\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0445\u0440\u0430\u043d\u0435\u043d\u0438\u044f \u0437\u0430\u043f\u0430\u0441\u043e\u0432. \u0421\u043f\u0435\u0446\u0438\u0444\u0438\u043a\u0430 \u0445\u0440\u0430\u043d\u0435\u043d\u0438\u044f \u0438 \u0443\u043a\u043b\u0430\u0434\u043a\u0438 \u043a\u0440\u0430\u043d\u043e\u0432 \u0442\u0430\u043a\u0430\u044f, \u0447\u0442\u043e \u0432 \u043e\u0434\u043d\u043e\u0439 \u044f\u0447\u0435\u0439\u043a\u0435 \u0448\u0442\u0443\u0447\u043d\u043e\u0433\u043e \u0445\u0440\u0430\u043d\u0435\u043d\u0438\u044f \u043c\u043e\u0436\u0435\u0442 \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u044c\u0441\u044f \u0442\u043e\u043b\u044c\u043a\u043e \u043d\u043e\u043c\u0435\u043d\u043a\u043b\u0430\u0442\u0443\u0440\u0430 \u043e\u0434\u043d\u043e\u0439 \u043f\u0430\u0440\u0442\u0438\u0438 (\u0441\u043c. \u0440\u0438\u0441. 1). \u041f\u0440\u043e\u0434\u0443\u043a\u0446\u0438\u044f \u043f\u0440\u0438\u0445\u043e\u0434\u0438\u0442 \u043d\u0430 \u0441\u043a\u043b\u0430\u0434 \u0435\u0436\u0435\u0434\u043d\u0435\u0432\u043d\u043e \u0438 \u043a\u0430\u0436\u0434\u044b\u0439 \u043f\u0440\u0438\u0445\u043e\u0434 \u2013 \u044d\u0442\u043e \u043e\u0442\u0434\u0435\u043b\u044c\u043d\u0430\u044f \u043f\u0430\u0440\u0442\u0438\u044f. \u0418\u0442\u043e\u0433\u043e, \u0432 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0435 1 \u043c\u0435\u0441\u044f\u0446\u0430 \u0440\u0430\u0431\u043e\u0442\u044b \u0441\u043a\u043b\u0430\u0434\u0430 \u0441\u043e\u0437\u0434\u0430\u044e\u0442\u0441\u044f 30 \u043e\u0442\u0434\u0435\u043b\u044c\u043d\u044b\u0445 \u043f\u0430\u0440\u0442\u0438\u0439, \u043f\u0440\u0438\u0442\u043e\u043c, \u0447\u0442\u043e \u043a\u0430\u0436\u0434\u0430\u044f \u0434\u043e\u043b\u0436\u043d\u0430 \u0445\u0440\u0430\u043d\u0438\u0442\u0441\u044f \u0432 \u043e\u0442\u0434\u0435\u043b\u044c\u043d\u043e\u0439 \u044f\u0447\u0435\u0439\u043a\u0435. \u0422\u043e\u0432\u0430\u0440 \u0437\u0430\u0447\u0430\u0441\u0442\u0443\u044e \u043e\u0442\u0431\u0438\u0440\u0430\u0435\u0442\u0441\u044f \u043d\u0435 \u0446\u0435\u043b\u044b\u043c\u0438 \u043f\u0430\u043b\u0435\u0442\u0430\u043c\u0438, \u0430 \u0448\u0442\u0443\u043a\u0430\u043c\u0438, \u0438 \u0432 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0435 \u0432 \u0437\u043e\u043d\u0435 \u0448\u0442\u0443\u0447\u043d\u043e\u0433\u043e \u043e\u0442-\u0431\u043e\u0440\u0430 \u0432\u043e \u043c\u043d\u043e\u0433\u0438\u0445 \u044f\u0447\u0435\u0439\u043a\u0430\u0445 \u043d\u0430\u0431\u043b\u044e\u0434\u0430\u0435\u0442\u0441\u044f \u0442\u0430\u043a\u0430\u044f \u043a\u0430\u0440\u0442\u0438\u043d\u0430: \u0432 \u044f\u0447\u0435\u0439\u043a\u0435 \u043e\u0431\u044a\u0435\u043c\u043e\u043c \u0431\u043e\u043b\u0435\u0435 1\u043c3 \u043b\u0435\u0436\u0438\u0442 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0448\u0442\u0443\u043a \u043a\u0440\u0430\u043d\u043e\u0432, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0437\u0430\u043d\u0438\u043c\u0430\u044e\u0442 \u043c\u0435\u043d\u0435\u0435 5-10% \u043e\u0442 \u043e\u0431\u044a\u0435\u043c\u0430 \u044f\u0447\u0435\u0439\u043a\u0438. <\/p>\n<p><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/a7c03f2302c3be02c00c670453353f16.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>\u0420\u0438\u0441 1. \u0424\u043e\u0442\u043e \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u0438\u0445 \u0448\u0442\u0443\u043a \u0432 \u044f\u0447\u0435\u0439\u043a\u0435<\/i><\/p>\n<p>\u041d\u0430 \u043b\u0438\u0446\u043e \u043d\u0435\u043e\u043f\u0442\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0435 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435 \u0441\u043a\u043b\u0430\u0434\u0441\u043a\u0438\u0445 \u043c\u043e\u0449\u043d\u043e\u0441\u0442\u0435\u0439. \u0427\u0442\u043e\u0431\u044b \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u043c\u0430\u0441\u0448\u0442\u0430\u0431 \u0431\u0435\u0434\u0441\u0442\u0432\u0438\u044f \u043c\u043e\u0433\u0443 \u043f\u0440\u0438\u0432\u0435\u0441\u0442\u0438 \u0446\u0438\u0444\u0440\u044b: \u0432 \u0441\u0440\u0435\u0434\u043d\u0435\u043c \u0442\u0430\u043a\u0438\u0445 \u044f\u0447\u0435\u0435\u043a \u043e\u0431\u044a\u0435\u043c\u043e\u043c \u0431\u043e\u043b\u0435\u0435 1\u043c3 \u0441 \u00ab\u043c\u0438\u0437\u0435\u0440\u043d\u044b\u043c\u0438\u00bb \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u043c\u0438 \u0432 \u0440\u0430\u0437\u043d\u044b\u0435 \u043f\u0435\u0440\u0438\u043e\u0434\u044b \u0440\u0430\u0431\u043e\u0442\u044b \u0441\u043a\u043b\u0430\u0434\u0430 \u043d\u0430\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043e\u0442 100 \u0434\u043e 300 \u044f\u0447\u0435\u0435\u043a. \u0422\u0430\u043a \u043a\u0430\u043a \u0441\u043a\u043b\u0430\u0434 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043d\u0435\u0431\u043e\u043b\u044c\u0448\u043e\u0439, \u0442\u043e \u0432 \u0441\u0435\u0437\u043e\u043d\u044b \u0437\u0430\u0433\u0440\u0443\u0437\u043a\u0438 \u0441\u043a\u043b\u0430\u0434\u0430 \u044d\u0442\u043e\u0442 \u0444\u0430\u043a\u0442\u043e\u0440 \u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u0441\u044f \u00ab\u0443\u0437\u043a\u0438\u043c \u0433\u043e\u0440\u043b\u044b\u0448\u043a\u043e\u043c\u00bb \u0441 \u0441\u0438\u043b\u044c\u043d\u043e \u0442\u043e\u0440\u043c\u043e\u0437\u0438\u0442 \u0441\u043a\u043b\u0430\u0434\u0441\u043a\u0438\u0435 \u043f\u0440\u043e\u0446\u0435\u0441\u0441\u044b \u043f\u0440\u0438\u0435\u043c\u043a\u0438 \u0438 \u043e\u0442\u0433\u0440\u0443\u0437\u043a\u0438.<\/p>\n<h4>\u0418\u0434\u0435\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u044b<\/h4>\n<p>\n\u0412\u043e\u0437\u043d\u0438\u043a\u043b\u0430 \u0438\u0434\u0435\u044f: \u043f\u0430\u0440\u0442\u0438\u0438 \u043e\u0441\u0442\u0430\u0442\u043a\u043e\u0432 \u0441 \u043d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0431\u043b\u0438\u0437\u043a\u0438\u043c\u0438 \u0434\u0430\u0442\u0430\u043c\u0438 \u043f\u0440\u0438\u0432\u043e\u0434\u0438\u0442\u044c \u043a \u043e\u0434\u043d\u043e\u0439 \u0435\u0434\u0438\u043d\u043e\u0439 \u043f\u0430\u0440\u0442\u0438\u0438 \u0438 \u0442\u0430\u043a\u0438\u0435 \u043e\u0441\u0442\u0430\u0442\u043a\u0438 \u0441 \u0443\u043d\u0438\u0444\u0438\u0446\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u043e\u0439 \u043f\u0430\u0440\u0442\u0438\u0435\u0439 \u0440\u0430\u0437\u043c\u0435\u0449\u0430\u0442\u044c \u043a\u043e\u043c\u043f\u0430\u043a\u0442\u043d\u043e \u0432\u043c\u0435\u0441\u0442\u0435 \u0432 \u043e\u0434\u043d\u043e\u0439 \u044f\u0447\u0435\u0439\u043a\u0435, \u0438\u043b\u0438 \u0432 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u0438\u0445, \u0435\u0441\u043b\u0438 \u043c\u0435\u0441\u0442\u0430 \u0432 \u043e\u0434\u043d\u043e\u0439 \u043d\u0435 \u0431\u0443\u0434\u0435\u0442 \u0445\u0432\u0430\u0442\u0430\u0442\u044c \u043d\u0430 \u0440\u0430\u0437\u043c\u0435\u0449\u0435\u043d\u0438\u0435 \u0432\u0441\u0435\u0433\u043e \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u0430 \u043e\u0441\u0442\u0430\u0442\u043a\u043e\u0432. \u041f\u0440\u0438\u043c\u0435\u0440 \u0442\u0430\u043a\u043e\u0433\u043e \u00ab\u0441\u0436\u0430\u0442\u0438\u044f\u00bb \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d \u043d\u0430 \u0440\u0438\u0441\u0443\u043d\u043a\u0435 2.<\/p>\n<p><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/792f114a7afa6272a6d152a784650681.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>\u0420\u0438\u0441.2. \u0421\u0445\u0435\u043c\u0430 \u0441\u0436\u0430\u0442\u0438\u044f \u043e\u0441\u0442\u0430\u0442\u043a\u043e\u0432 \u0432 \u044f\u0447\u0435\u0439\u043a\u0430\u0445<\/i><\/p>\n<p>\u042d\u0442\u043e \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u0435\u0442 \u0437\u043d\u0430\u0447\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u0441\u043e\u043a\u0440\u0430\u0442\u0438\u0442\u044c \u0437\u0430\u043d\u0438\u043c\u0430\u0435\u043c\u044b\u0435 \u0441\u043a\u043b\u0430\u0434\u0441\u043a\u0438\u0435 \u043f\u043b\u043e\u0449\u0430\u0434\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0431\u0443\u0434\u0443\u0442 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u043f\u043e\u0434 \u043d\u043e\u0432\u044b\u0439 \u0440\u0430\u0437\u043c\u0435\u0449\u0430\u0435\u043c\u044b\u0439 \u0442\u043e\u0432\u0430\u0440. \u0412 \u0441\u0438\u0442\u0443\u0430\u0446\u0438\u0438 \u0441 \u043f\u0435\u0440\u0435\u0433\u0440\u0443\u0437\u043a\u043e\u0439 \u0441\u043a\u043b\u0430\u0434\u0441\u043a\u0438\u0445 \u043c\u043e\u0449\u043d\u043e\u0441\u0442\u0435\u0439 \u0442\u0430\u043a\u0430\u044f \u043c\u0435\u0440\u0430 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043a\u0440\u0430\u0439\u043d\u0435 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e\u0439, \u0432 \u043f\u0440\u043e\u0442\u0438\u0432\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0441\u0432\u043e\u0431\u043e\u0434\u043d\u043e\u0433\u043e \u043c\u0435\u0441\u0442\u0430 \u043f\u043e\u0434 \u0440\u0430\u0437\u043c\u0435\u0449\u0435\u043d\u0438\u0435 \u043d\u043e\u0432\u043e\u0433\u043e \u0442\u043e\u0432\u0430\u0440\u0430 \u043c\u043e\u0436\u0435\u0442 \u043f\u043e\u043f\u0440\u043e\u0441\u0442\u0443 \u043d\u0435 \u0445\u0432\u0430\u0442\u0438\u0442\u044c, \u0447\u0442\u043e \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u0442 \u043a \u0441\u0442\u043e\u043f\u043e\u0440\u0443 \u0441\u043a\u043b\u0430\u0434\u0441\u043a\u0438\u0445 \u043f\u0440\u043e\u0446\u0435\u0441\u0441\u043e\u0432 \u0440\u0430\u0437\u043c\u0435\u0449\u0435\u043d\u0438\u044f \u0438 \u043f\u043e\u0434\u043f\u0438\u0442\u043a\u0438 \u0438, \u043a\u0430\u043a \u0441\u043b\u0435\u0434\u0441\u0442\u0432\u0438\u0435, \u043a \u0441\u0442\u043e\u043f\u043e\u0440\u0443 \u043f\u0440\u0438\u0435\u043c\u043a\u0438 \u0438 \u043e\u0442\u0433\u0440\u0443\u0437\u043a\u0438. \u0420\u0430\u043d\u044c\u0448\u0435 \u0434\u043e \u0432\u043d\u0435\u0434\u0440\u0435\u043d\u0438\u044f WMS-\u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0442\u0430\u043a\u0443\u044e \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u044e \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u043b\u0438 \u0432\u0440\u0443\u0447\u043d\u0443\u044e, \u0447\u0442\u043e \u0431\u044b\u043b\u043e \u043d\u0435 \u044d\u0444\u0444\u0435\u043a\u0442\u0438\u0432\u043d\u043e, \u0442\u0430\u043a \u043a\u0430\u043a \u043f\u0440\u043e\u0446\u0435\u0441\u0441 \u043f\u043e\u0438\u0441\u043a\u0430 \u043f\u043e\u0434\u0445\u043e\u0434\u044f\u0449\u0438\u0445 \u043e\u0441\u0442\u0430\u0442\u043a\u043e\u0432 \u0432 \u044f\u0447\u0435\u0439\u043a\u0430\u0445 \u0431\u044b\u043b \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u0434\u043e\u043b\u0433\u0438\u043c. \u0421\u0435\u0439\u0447\u0430\u0441 \u0441 \u0432\u043d\u0435\u0434\u0440\u0435\u043d\u0438\u0435\u043c WMS-\u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0440\u0435\u0448\u0438\u043b\u0438 \u043f\u0440\u043e\u0446\u0435\u0441\u0441 \u0430\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u0442\u044c, \u0443\u0441\u043a\u043e\u0440\u0438\u0442\u044c \u0438 \u0441\u0434\u0435\u043b\u0430\u0442\u044c \u0435\u0433\u043e \u0438\u043d\u0442\u0435\u043b\u043b\u0435\u043a\u0442\u0443\u0430\u043b\u044c\u043d\u044b\u043c.<\/p>\n<p>\u041f\u0440\u043e\u0446\u0435\u0441\u0441 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0442\u0430\u043a\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\u0438 \u0440\u0430\u0437\u0431\u0438\u0432\u0430\u0435\u0442\u0441\u044f \u043d\u0430 2 \u044d\u0442\u0430\u043f\u0430: <\/p>\n<ul>\n<li>\u043d\u0430 \u043f\u0435\u0440\u0432\u043e\u043c \u044d\u0442\u0430\u043f\u0435 \u043c\u044b \u043d\u0430\u0445\u043e\u0434\u0438\u043c \u0431\u043b\u0438\u0437\u043a\u0438\u0435 \u043f\u043e \u0434\u0430\u0442\u0435 \u0433\u0440\u0443\u043f\u043f\u044b \u043f\u0430\u0440\u0442\u0438\u0439 \u0434\u043b\u044f \u0441\u0436\u0430\u0442\u0438\u044f (\u044d\u0442\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\u0435 \u043f\u043e\u0441\u0432\u044f\u0449\u0435\u043d\u0438\u044f <noindex><a rel=\"nofollow\" href=\"https:\/\/habr.com\/ru\/post\/463289\/\">artikulli i m\u00ebparsh\u00ebm<\/a><\/noindex>);<\/li>\n<li>\u043d\u0430 \u0432\u0442\u043e\u0440\u043e\u043c \u044d\u0442\u0430\u043f\u0435 \u043c\u044b \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0439 \u0433\u0440\u0443\u043f\u043f\u044b \u043f\u0430\u0440\u0442\u0438\u0439 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u043e \u043a\u043e\u043c\u043f\u0430\u043a\u0442\u043d\u043e\u0435 \u0440\u0430\u0437\u043c\u0435\u0449\u0435\u043d\u0438\u0435 \u043e\u0441\u0442\u0430\u0442\u043a\u043e\u0432 \u0442\u043e\u0432\u0430\u0440\u0430 \u0432 \u044f\u0447\u0435\u0439\u043a\u0430\u0445. <\/li>\n<\/ul>\n<p>\n\u0412 \u0442\u0435\u043a\u0443\u0449\u0435\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u043c\u044b \u043e\u0441\u0442\u0430\u043d\u043e\u0432\u0438\u043c\u0441\u044f \u043d\u0430 \u0432\u0442\u043e\u0440\u043e\u043c \u044d\u0442\u0430\u043f\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430.<\/p>\n<h4>\u041e\u0431\u0437\u043e\u0440 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0445 \u0440\u0435\u0448\u0435\u043d\u0438\u0439<\/h4>\n<p>\n\u041f\u0440\u0435\u0436\u0434\u0435 \u0447\u0435\u043c \u043f\u0435\u0440\u0435\u0445\u043e\u0434\u0438\u0442\u044c \u043a \u043e\u043f\u0438\u0441\u0430\u043d\u0438\u044e \u0440\u0430\u0437\u0440\u0430\u0431\u043e\u0442\u0430\u043d\u043d\u044b\u0445 \u043d\u0430\u043c\u0438 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u043e\u0432, \u0441\u0442\u043e\u0438\u0442 \u043f\u0440\u043e\u0432\u0435\u0441\u0442\u0438 \u043a\u0440\u0430\u0442\u043a\u0438\u0439 \u043e\u0431\u0437\u043e\u0440 \u0443\u0436\u0435 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0445 \u043d\u0430 \u0440\u044b\u043d\u043a\u0435 \u0441\u0438\u0441\u0442\u0435\u043c <i>WMS<\/i>, \u0432 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0440\u0435\u0430\u043b\u0438\u0437\u043e\u0432\u0430\u043d \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u043e\u043d\u0430\u043b \u043e\u043f\u0442\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0441\u0436\u0430\u0442\u0438\u044f.<\/p>\n<p>\u0412 \u043f\u0435\u0440\u0432\u0443\u044e \u043e\u0447\u0435\u0440\u0435\u0434\u044c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043e\u0442\u043c\u0435\u0442\u0438\u0442\u044c \u043f\u0440\u043e\u0434\u0443\u043a\u0442 \u00ab1\u0421: \u041f\u0440\u0435\u0434\u043f\u0440\u0438\u044f\u0442\u0438\u0435 8. WMS \u041b\u043e\u0433\u0438\u0441\u0442\u0438\u043a\u0430. \u0423\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u0441\u043a\u043b\u0430\u0434\u043e\u043c 4\u00bb, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u043f\u0440\u0438\u043d\u0430\u0434\u043b\u0435\u0436\u0438\u0442 \u0438 \u0442\u0438\u0440\u0430\u0436\u0438\u0440\u0443\u0435\u0442\u0441\u044f \u0444\u0438\u0440\u043c\u043e\u0439 1\u0421 \u0438 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0441\u044f \u043a \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u043e\u043c\u0443 \u043f\u043e\u043a\u043e\u043b\u0435\u043d\u0438\u044e <i>WMS<\/i>-\u0441\u0438\u0441\u0442\u0435\u043c, \u0440\u0430\u0437\u0440\u0430\u0431\u043e\u0442\u0430\u043d\u043d\u044b\u0445 \u043a\u043e\u043c\u043f\u0430\u043d\u0438\u0435\u0439 AXELOT. \u0412 \u0434\u0430\u043d\u043d\u043e\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u0435 \u0437\u0430\u044f\u0432\u043b\u0435\u043d \u0444\u0443\u043d\u043a\u0446\u0438\u043e\u043d\u0430\u043b \u043a\u043e\u043c\u043f\u0440\u0435\u0441\u0441\u0438\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u043f\u0440\u0438\u0437\u0432\u0430\u043d \u043e\u0431\u044a\u0435\u0434\u0438\u043d\u044f\u0442\u044c \u0440\u0430\u0437\u0440\u043e\u0437\u043d\u0435\u043d\u043d\u044b\u0435 \u043e\u0441\u0442\u0430\u0442\u043a\u0438 \u0442\u043e\u0432\u0430\u0440\u0430 \u0432 \u043e\u0434\u043d\u043e\u0439 \u043e\u0431\u0449\u0435\u0439 \u044f\u0447\u0435\u0439\u043a\u0435. \u0421\u0442\u043e\u0438\u0442 \u043e\u0433\u043e\u0432\u043e\u0440\u0438\u0442\u044c\u0441\u044f, \u0447\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u043e\u043d\u0430\u043b \u043a\u043e\u043c\u043f\u0440\u0435\u0441\u0441\u0438\u0438 \u0432 \u0442\u0430\u043a\u043e\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u0435 \u0432\u043a\u043b\u044e\u0447\u0430\u0435\u0442 \u0432 \u0441\u0435\u0431\u044f \u0435\u0449\u0435 \u0438 \u0434\u0440\u0443\u0433\u0438\u0435 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u0438, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0438\u0441\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u0440\u0430\u0437\u043c\u0435\u0449\u0435\u043d\u0438\u044f \u0442\u043e\u0432\u0430\u0440\u043e\u0432 \u0432 \u044f\u0447\u0435\u0439\u043a\u0430\u0445 \u0441\u043e\u0433\u043b\u0430\u0441\u043d\u043e \u0438\u0445 ABC \u043a\u043b\u0430\u0441\u0441\u0430\u043c, \u043d\u043e \u043d\u0430 \u043d\u0438\u0445 \u043c\u044b \u043e\u0441\u0442\u0430\u043d\u0430\u0432\u043b\u0438\u0432\u0430\u0442\u044c\u0441\u044f \u043d\u0435 \u0431\u0443\u0434\u0435\u043c. <\/p>\n<p>\u0415\u0441\u043b\u0438 \u0430\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u043a\u043e\u0434 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u00ab1\u0421: \u041f\u0440\u0435\u0434\u043f\u0440\u0438\u044f\u0442\u0438\u0435 8. WMS \u041b\u043e\u0433\u0438\u0441\u0442\u0438\u043a\u0430. \u0423\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u0441\u043a\u043b\u0430\u0434\u043e\u043c 4\u00bb (\u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u0432 \u0434\u0430\u043d\u043d\u043e\u0439 \u0447\u0430\u0441\u0442\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u043e\u043d\u0430\u043b\u0430 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043e\u0442\u043a\u0440\u044b\u0442\u044b\u043c), \u0442\u043e \u043c\u043e\u0436\u043d\u043e \u0437\u0430\u043a\u043b\u044e\u0447\u0438\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435. \u0410\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u043a\u043e\u043c\u043f\u0440\u0435\u0441\u0441\u0438\u0438 \u043e\u0441\u0442\u0430\u0442\u043a\u043e\u0432 \u0440\u0435\u0430\u043b\u0438\u0437\u0443\u0435\u0442 \u0434\u043e\u0432\u043e\u043b\u044c\u043d\u043e \u043f\u0440\u0438\u043c\u0438\u0442\u0438\u0432\u043d\u0443\u044e \u043b\u0438\u043d\u0435\u0439\u043d\u0443\u044e \u043b\u043e\u0433\u0438\u043a\u0443 \u0438 \u043d\u0435 \u043e \u043a\u0430\u043a\u043e\u0439 \u00ab\u043e\u043f\u0442\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0439\u00bb \u043a\u043e\u043c\u043f\u0440\u0435\u0441\u0441\u0438\u0438 \u0440\u0435\u0447\u0438 \u0431\u044b\u0442\u044c \u043d\u0435 \u043c\u043e\u0436\u0435\u0442. \u0415\u0441\u0442\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u043e, \u043a\u043b\u0430\u0441\u0442\u0435\u0440\u0438\u0437\u0430\u0446\u0438\u044e \u043f\u0430\u0440\u0442\u0438\u0439 \u043e\u043d \u043d\u0435 \u043f\u0440\u0435\u0434\u0443\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u0435\u0442. \u041d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043a\u043b\u0438\u0435\u043d\u0442\u043e\u0432, \u0443 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0442\u0430\u043a\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u0431\u044b\u043b\u0430 \u0432\u043d\u0435\u0434\u0440\u0435\u043d\u0430, \u0436\u0430\u043b\u043e\u0432\u0430\u043b\u0438\u0441\u044c \u043d\u0430 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b \u043f\u043b\u0430\u043d\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f \u043a\u043e\u043c\u043f\u0440\u0435\u0441\u0441\u0438\u0438. \u041a \u043f\u0440\u0438\u043c\u0435\u0440\u0443, \u0437\u0430\u0447\u0430\u0441\u0442\u0443\u044e \u043d\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0435 \u043f\u0440\u0438 \u043a\u043e\u043c\u043f\u0440\u0435\u0441\u0441\u0438\u0438 \u0441\u043b\u0443\u0447\u0430\u043b\u0430\u0441\u044c \u0442\u0430\u043a\u0430\u044f \u0441\u0438\u0442\u0443\u0430\u0446\u0438\u044f: 100 \u0448\u0442. \u043e\u0441\u0442\u0430\u0442\u043a\u043e\u0432 \u0442\u043e\u0432\u0430\u0440\u0430 \u0438\u0437 \u043e\u0434\u043d\u043e\u0439 \u044f\u0447\u0435\u0439\u043a\u0438 \u043f\u043b\u0430\u043d\u0438\u0440\u0443\u0435\u0442\u0441\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u0441\u0442\u0438\u0442\u044c \u0432 \u0434\u0440\u0443\u0433\u0443\u044e \u044f\u0447\u0435\u0439\u043a\u0443, \u0433\u0434\u0435 \u043b\u0435\u0436\u0438\u0442 1 \u0448\u0442. \u0442\u043e\u0432\u0430\u0440\u0430, \u0445\u043e\u0442\u044f \u043e\u043f\u0442\u0438\u043c\u0430\u043b\u044c\u043d\u043e \u0441 \u0442\u043e\u0447\u043a\u0438 \u0437\u0440\u0435\u043d\u0438\u044f \u0437\u0430\u0442\u0440\u0430\u0442 \u0432\u0440\u0435\u043c\u0435\u043d\u0438 \u0441\u0434\u0435\u043b\u0430\u0442\u044c \u043d\u0430\u043e\u0431\u043e\u0440\u043e\u0442.<\/p>\n<p>\u0422\u0430\u043a \u0436\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u043e\u043d\u0430\u043b \u043a\u043e\u043c\u043f\u0440\u0435\u0441\u0441\u0438\u0438 \u043e\u0441\u0442\u0430\u0442\u043a\u043e\u0432 \u0442\u043e\u0432\u0430\u0440\u043e\u0432 \u0432 \u044f\u0447\u0435\u0439\u043a\u0430\u0445 \u0437\u0430\u044f\u0432\u043b\u0435\u043d \u0432\u043e \u043c\u043d\u043e\u0433\u0438\u0445 \u0437\u0430\u0440\u0443\u0431\u0435\u0436\u043d\u044b\u0445 <i>WMS<\/i>-\u0441\u0438\u0441\u0442\u0435\u043c\u0430\u0445, \u043d\u043e, \u043a \u0441\u043e\u0436\u0430\u043b\u0435\u043d\u0438\u044e, \u043d\u0438 \u0440\u0435\u0430\u043b\u044c\u043d\u044b\u0445 \u043e\u0442\u0437\u044b\u0432\u043e\u0432 \u043e\u0431 \u044d\u0444\u0444\u0435\u043a\u0442\u0438\u0432\u043d\u043e\u0441\u0442\u0438 \u0440\u0430\u0431\u043e\u0442\u044b \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u043e\u0432 (\u044d\u0442\u043e \u043a\u043e\u043c\u043c\u0435\u0440\u0447\u0435\u0441\u043a\u0430\u044f \u0442\u0430\u0439\u043d\u0430), \u043d\u0438 \u0442\u0435\u043c \u0431\u043e\u043b\u0435\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043e \u0433\u043b\u0443\u0431\u0438\u043d\u0435 \u0438\u0445 \u043b\u043e\u0433\u0438\u043a\u0438 (\u043f\u0440\u043e\u043f\u0440\u0438\u0435\u0442\u0430\u0440\u043d\u043e\u0435 \u041f\u041e \u0441 \u0437\u0430\u043a\u0440\u044b\u0442\u044b\u043c \u043a\u043e\u0434\u043e\u043c) \u043c\u044b \u043d\u0435 \u0438\u043c\u0435\u0435\u043c, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0441\u0443\u0434\u0438\u0442\u044c \u043d\u0435 \u043c\u043e\u0436\u0435\u043c.<\/p>\n<h4>\u041f\u043e\u0438\u0441\u043a \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u043c\u043e\u0434\u0435\u043b\u0438 \u0437\u0430\u0434\u0430\u0447\u0438<\/h4>\n<p>\n\u0414\u043b\u044f \u0442\u043e\u0433\u043e, \u0447\u0442\u043e\u0431\u044b \u0441\u043f\u0440\u043e\u0435\u043a\u0442\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0437\u0430\u0434\u0430\u0447\u0438, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u043d\u0430\u0447\u0430\u043b\u0435 \u044d\u0442\u0443 \u0437\u0430\u0434\u0430\u0447\u0443 \u0447\u0435\u0442\u043a\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0441\u0444\u043e\u0440\u043c\u0443\u043b\u0438\u0440\u043e\u0432\u0430\u0442\u044c, \u0447\u0442\u043e \u0438 \u0441\u0434\u0435\u043b\u0430\u0435\u043c.<\/p>\n<p>\u0418\u043c\u0435\u0435\u0442\u0441\u044f \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e \u044f\u0447\u0435\u0435\u043a <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/bfff1fb95dd0c633ada02b9398778eab.jpeg\" style=\"display:block;margin: 0 auto;\" \/>, \u0432 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u043d\u0430\u0445\u043e\u0434\u044f\u0442\u0441\u044f \u043e\u0441\u0442\u0430\u0442\u043a\u0438 \u043d\u0435\u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u0442\u043e\u0432\u0430\u0440\u0430. \u0414\u0430\u043b\u0435\u0435 \u0442\u0430\u043a\u0438\u0435 \u044f\u0447\u0435\u0439\u043a\u0438 \u0431\u0443\u0434\u0435\u043c \u043d\u0430\u0437\u044b\u0432\u0430\u0442\u044c \u044f\u0447\u0435\u0439\u043a\u0430\u043c\u0438-\u0434\u043e\u043d\u043e\u0440\u0430\u043c\u0438. \u041e\u0431\u043e\u0437\u043d\u0430\u0447\u0438\u043c <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/50ef693482cd4cb27410b30b0bc107b1.jpeg\" style=\"display:block;margin: 0 auto;\" \/> \u043e\u0431\u044a\u0435\u043c \u0442\u043e\u0432\u0430\u0440\u0430, \u043d\u0430\u0445\u043e\u0434\u044f\u0449\u0435\u0433\u043e\u0441\u044f \u0432 \u044f\u0447\u0435\u0439\u043a\u0435 <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/dc7faf1656fb12c8e467fe3a5b8977fa.jpeg\" style=\"display:block;margin: 0 auto;\" \/>$.<\/p>\n<p>\u0412\u0430\u0436\u043d\u043e \u0441\u043a\u0430\u0437\u0430\u0442\u044c, \u0447\u0442\u043e \u0432 \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0435 \u0441\u0436\u0430\u0442\u0438\u044f \u043c\u043e\u0436\u0435\u0442 \u0443\u0447\u0430\u0441\u0442\u0432\u043e\u0432\u0430\u0442\u044c \u0442\u043e\u043b\u044c\u043a\u043e \u043e\u0434\u0438\u043d \u0442\u043e\u0432\u0430\u0440 \u043e\u0434\u043d\u043e\u0439 \u043f\u0430\u0440\u0442\u0438\u0438, \u043b\u0438\u0431\u043e \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u0438\u0445 \u043f\u0430\u0440\u0442\u0438\u0439, \u043e\u0431\u044a\u0435\u0434\u0438\u043d\u0435\u043d\u043d\u044b\u0445 \u043f\u0440\u0435\u0434\u0432\u0430\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u0432 \u043a\u043b\u0430\u0441\u0442\u0435\u0440 (\u0447\u0438\u0442\u0430\u0439 <noindex><a rel=\"nofollow\" href=\"https:\/\/habr.com\/ru\/post\/463289\/\">artikulli i m\u00ebparsh\u00ebm<\/a><\/noindex>), \u0447\u0442\u043e \u043e\u0431\u0443\u0441\u043b\u043e\u0432\u043b\u0435\u043d\u043e \u0441\u043f\u0435\u0446\u0438\u0444\u0438\u043a\u043e\u0439 \u0445\u0440\u0430\u043d\u0435\u043d\u0438\u044f \u0438 \u0443\u043a\u043b\u0430\u0434\u043a\u0438 \u0442\u043e\u0432\u0430\u0440\u043e\u0432. \u0414\u043b\u044f \u0440\u0430\u0437\u043d\u044b\u0445 \u0442\u043e\u0432\u0430\u0440\u043e\u0432 \u0438\u043b\u0438 \u0440\u0430\u0437\u043d\u044b\u0445 \u043a\u043b\u0430\u0441\u0442\u0435\u0440\u043e\u0432 \u043f\u0430\u0440\u0442\u0438\u0439 \u0434\u043e\u043b\u0436\u043d\u0430 \u0437\u0430\u043f\u0443\u0441\u043a\u0430\u0442\u044c\u0441\u044f \u0441\u0432\u043e\u044f \u043e\u0442\u0434\u0435\u043b\u044c\u043d\u0430\u044f \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0430 \u0441\u0436\u0430\u0442\u0438\u044f.<\/p>\n<p>\u0418\u043c\u0435\u0435\u0442\u0441\u044f \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e \u044f\u0447\u0435\u0435\u043a <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/b9aafca691626263d8ecc2faed8dfcfe.jpeg\" style=\"display:block;margin: 0 auto;\" \/>, \u0432 \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043c\u043e\u0433\u0443\u0442 \u0431\u044b\u0442\u044c \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e \u043f\u043e\u043c\u0435\u0449\u0435\u043d\u044b \u043e\u0441\u0442\u0430\u0442\u043a\u0438 \u0438\u0437 \u044f\u0447\u0435\u0435\u043a-\u0434\u043e\u043d\u043e\u0440\u043e\u0432. \u0422\u0430\u043a\u0438\u0435 \u044f\u0447\u0435\u0439\u043a\u0438 \u0431\u0443\u0434\u0435\u043c \u0434\u0430\u043b\u0435\u0435 \u043d\u0430\u0437\u044b\u0432\u0430\u0442\u044c \u044f\u0447\u0435\u0439\u043a\u0430\u043c\u0438-\u043a\u043e\u043d\u0442\u0435\u0439\u043d\u0435\u0440\u0430\u043c\u0438. \u042d\u0442\u043e \u043c\u043e\u0433\u0443\u0442 \u0431\u044b\u0442\u044c \u043a\u0430\u043a \u0441\u0432\u043e\u0431\u043e\u0434\u043d\u044b\u0435 \u044f\u0447\u0435\u0439\u043a\u0438 \u043d\u0430 \u0441\u043a\u043b\u0430\u0434\u0435, \u0442\u0430\u043a \u0438 \u044f\u0447\u0435\u0439\u043a\u0438-\u0434\u043e\u043d\u043e\u0440\u044b \u0438\u0437 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0430 <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/25731bc72091e2284e76c434d2abdcfd.jpeg\" style=\"display:block;margin: 0 auto;\" \/>. \u0412\u0441\u0435\u0433\u0434\u0430 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/d407f97344131a3056b1eab1d3dd7dcd.jpeg\" style=\"display:block;margin: 0 auto;\" \/> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043f\u043e\u0434\u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e\u043c <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/581806d446f3d8c91927045249698e71.jpeg\" style=\"display:block;margin: 0 auto;\" \/>.<\/p>\n<p>\u0414\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0439 \u044f\u0447\u0435\u0439\u043a\u0438 <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/b084d5852a1e4f00d2498640534d66e9.jpeg\" style=\"display:block;margin: 0 auto;\" \/> \u0438\u0437 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0430 <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/236efb40a21865f78240c8e14303cc2e.jpeg\" style=\"display:block;margin: 0 auto;\" \/> \u0437\u0430\u0434\u0430\u043d\u044b \u043e\u0433\u0440\u0430\u043d\u0438\u0447\u0435\u043d\u0438\u044f \u043d\u0430 \u0432\u043c\u0435\u0441\u0442\u0438\u043c\u043e\u0441\u0442\u044c <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/fe253cfe5f2aa39bc8e064674fb206f8.jpeg\" style=\"display:block;margin: 0 auto;\" \/>, \u0438\u0437\u043c\u0435\u0440\u044f\u0435\u043c\u044b\u0435 \u0432 \u0434\u043c3. \u041e\u0434\u0438\u043d \u0434\u043c3 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u043a\u0443\u0431\u0438\u043a \u0441\u043e \u0441\u0442\u043e\u0440\u043e\u043d\u0430\u043c\u0438 10 \u0441\u043c. \u041f\u0440\u043e\u0434\u0443\u043a\u0446\u0438\u044f, \u0445\u0440\u0430\u043d\u0438\u043c\u0430\u044f \u043d\u0430 \u0441\u043a\u043b\u0430\u0434\u0435 \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u043a\u0440\u0443\u043f\u043d\u0430\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0432 \u0434\u0430\u043d\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0442\u0430\u043a\u043e\u0439 \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u0438\u0437\u0430\u0446\u0438\u0438 \u0432\u043f\u043e\u043b\u043d\u0435 \u0445\u0432\u0430\u0442\u0430\u0435\u0442. <\/p>\n<p>\u0417\u0430\u0434\u0430\u043d\u0430 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u043a\u0440\u0430\u0442\u0447\u0430\u0439\u0448\u0438\u0445 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0439 <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/48c133b0affa17f6a2367a02241d5f17.jpeg\" style=\"display:block;margin: 0 auto;\" \/> \u0432 \u043c\u0435\u0442\u0440\u0430\u0445 \u043c\u0435\u0436\u0434\u0443 \u043a\u0430\u0436\u0434\u043e\u0439 \u043f\u0430\u0440\u043e\u0439 \u044f\u0447\u0435\u0435\u043a <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/8fd860e331a8e42dd258857bdf580c05.jpeg\" style=\"display:block;margin: 0 auto;\" \/>, ku <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/feb9a48c6e9e4ccd8e9fa1db5565e96e.jpeg\" style=\"display:block;margin: 0 auto;\" \/> dhe <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/d9a48a8a22ea984d0769373c5620c99a.jpeg\" style=\"display:block;margin: 0 auto;\" \/> \u043f\u0440\u0438\u043d\u0430\u0434\u043b\u0435\u0436\u0430\u0442 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0430\u043c <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/e2dd20fda8a8b0b5ea2173c14f04fe00.jpeg\" style=\"display:block;margin: 0 auto;\" \/> dhe <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/0dabafdb55ac6b8495f6d5f657d6c01d.jpeg\" style=\"display:block;margin: 0 auto;\" \/> p\u00ebrkat\u00ebsisht. <\/p>\n<p>\u041e\u0431\u043e\u0437\u043d\u0430\u0447\u0438\u043c <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/2994defad9bb0a44741f31a85273abf2.jpeg\" style=\"display:block;margin: 0 auto;\" \/> \u00ab\u0437\u0430\u0442\u0440\u0430\u0442\u044b\u00bb \u043d\u0430 \u043f\u0435\u0440\u0435\u043c\u0435\u0449\u0435\u043d\u0438\u044f \u0442\u043e\u0432\u0430\u0440\u0430 \u0438\u0437 \u044f\u0447\u0435\u0439\u043a\u0438<img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/a2e54425ec786d3a88290dda47f4b9cb.jpeg\" style=\"display:block;margin: 0 auto;\" \/> \u0432 \u044f\u0447\u0435\u0439\u043a\u0443 <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/bf4a9f1a1f396a9b7b6244cf8c77ecc8.jpeg\" style=\"display:block;margin: 0 auto;\" \/>. \u041e\u0431\u043e\u0437\u043d\u0430\u0447\u0438\u043c <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/6f4c10386fc638f6ca37e0ccdcf4ccb4.jpeg\" style=\"display:block;margin: 0 auto;\" \/> \u00ab\u0437\u0430\u0442\u0440\u0430\u0442\u044b\u00bb \u043d\u0430 \u0432\u044b\u0431\u043e\u0440 \u043a\u043e\u043d\u0442\u0435\u0439\u043d\u0435\u0440\u0430 <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/613d619ea5951551427f0cd45c7f79bf.jpeg\" style=\"display:block;margin: 0 auto;\" \/> \u0434\u043b\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u0449\u0435\u043d\u0438\u044f \u0432 \u043d\u0435\u0433\u043e \u043e\u0441\u0442\u0430\u0442\u043a\u043e\u0432 \u0438\u0437 \u0434\u0440\u0443\u0433\u0438\u0445 \u044f\u0447\u0435\u0435\u043a. \u041a\u0430\u043a \u0438\u043c\u0435\u043d\u043d\u043e \u0438 \u0432 \u043a\u0430\u043a\u0438\u0445 \u0435\u0434\u0438\u043d\u0438\u0446\u0430\u0445 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f \u0431\u0443\u0434\u0443\u0442 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0442\u044c\u0441\u044f \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/22130f203fde6271e33cba0db14d6a80.jpeg\" style=\"display:block;margin: 0 auto;\" \/> dhe <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/d75c50be3ee4f8e02a9523f2d2109f0d.jpeg\" style=\"display:block;margin: 0 auto;\" \/> do t\u00eb shqyrtojm\u00eb m\u00eb tej (shih seksionin p\u00ebrgatitja e t\u00eb dh\u00ebnave hyr\u00ebse), tani mjafton t\u00eb thuhet se k\u00ebto vlera do t\u00eb jen\u00eb p\u00ebrmbledh\u00ebse me vlerat <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/5e4e80f122ac1fe43f94de2726c0d3b7.jpeg\" style=\"display:block;margin: 0 auto;\" \/> dhe <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/1b6a9d41ba4ad68d5a5fbae883b80596.jpeg\" style=\"display:block;margin: 0 auto;\" \/> p\u00ebrkat\u00ebsisht.<\/p>\n<p>Shenj\u00ebsojm\u00eb p\u00ebrmes <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/1ebfe4179740aff474a78d11a004aaa7.jpeg\" style=\"display:block;margin: 0 auto;\" \/> nj\u00eb variab\u00ebl q\u00eb merr vler\u00ebn 1, n\u00ebse mbetjet nga qelia <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/48f9789788c38746ba4ac0c947e0a4ca.jpeg\" style=\"display:block;margin: 0 auto;\" \/> \u00ebsht ne t\u00eb l\u00ebvizura n\u00eb kontenier <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/58ce0b4c9bfb946c00bffdc0c50a05d6.jpeg\" style=\"display:block;margin: 0 auto;\" \/>, dhe 0 p\u00ebrndryshe. Shenj\u00ebsojm\u00eb p\u00ebrmes <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/642d5627193c55922be5274826b75cb4.jpeg\" style=\"display:block;margin: 0 auto;\" \/> nj\u00eb variab\u00ebl q\u00eb merr vler\u00ebn 1, n\u00ebse kontenieri <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/6939c9f4daf2ecd531d9c2518c03401d.jpeg\" style=\"display:block;margin: 0 auto;\" \/> p\u00ebrmban mbetjet e mallrave, dhe 0 p\u00ebrndryshe.<\/p>\n<p><b>Detyra formullohet k\u00ebshtu<\/b>: \u00ebsht\u00eb e nevojshme t\u00eb gjendet nj\u00eb shum\u00ebs kontenierash <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/d6065db66f210083181dabb39f0e9e16.jpeg\" style=\"display:block;margin: 0 auto;\" \/> dhe n\u00eb k\u00ebt\u00eb m\u00ebnyr\u00eb \u2018t\u00eb lidhim\u2019 qelit\u00eb-dhuruese me qelit\u00eb kontenier, n\u00eb m\u00ebnyr\u00eb q\u00eb t\u00eb minimizojm\u00eb funksionin<\/p>\n<p><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/68d7f0271f9761fff2c762e0fe6f5207.jpeg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>n\u00eb kufizimet<\/p>\n<p><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/d57b8752aa4a8140e239dfa7fdc9ec36.jpeg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>Pra, gjat\u00eb llogaritjes s\u00eb zgjidhjes s\u00eb detyr\u00ebs ne p\u00ebrpiqemi: <\/p>\n<ul>\n<li>s\u00eb pari, t\u00eb kursejm\u00eb kapacitetin e magazinave; <\/li>\n<li>s\u00eb dyti, t\u00eb kursejm\u00eb koh\u00ebn e magazinier\u00ebve. <\/li>\n<\/ul>\n<p>\nKufizimi i fundit do t\u00eb thot\u00eb se nuk mund t\u00eb l\u00ebvizim mallrat n\u00eb nj\u00eb kontenier q\u00eb nuk e kemi zgjedhur, dhe p\u00ebr rrjedhoj\u00eb nuk kemi \u2018patur shpenzime\u2019 p\u00ebr zgjedhjen e tij. Po ashtu, ky kufizim do t\u00eb thot\u00eb se v\u00ebllimi i mallrave t\u00eb l\u00ebvizura nga qelit\u00eb n\u00eb kontenier nuk duhet t\u00eb tejkaloj\u00eb kapacitetin e kontenierit. Nga zgjidhja e detyr\u00ebs, do t\u00eb kuptojm\u00eb shum\u00ebn e kontenier\u00ebve <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/db0f987f2d388ad1394d21404e183c93.jpeg\" style=\"display:block;margin: 0 auto;\" \/> dhe m\u00ebnyrat e lidhjes s\u00eb qelive-dhuruese me kontenier\u00ebt.<\/p>\n<p>Nj\u00eb formulim i till\u00eb i detyr\u00ebs s\u00eb optimizimit nuk \u00ebsht\u00eb i ri dhe \u00ebsht\u00eb studiuar nga shum\u00eb matematiciene q\u00eb nga fillimi i viteve '80 t\u00eb shekullit t\u00eb kaluar. N\u00eb literatur\u00ebn e huaj ekzistojn\u00eb 2 detyra optimizimi me nj\u00eb model matematikor t\u00eb p\u00ebrshtatsh\u00ebm: <noindex><a rel=\"nofollow\" href=\"http:\/\/www.math.nsc.ru\/AP\/benchmarks\/CFLP\/cflp.html\">Single-Source Capacitated Facility Location Problem<\/a><\/noindex> dhe <noindex><a rel=\"nofollow\" href=\"https:\/\/waset.org\/publications\/10002290\/a-survey-of-discrete-facility-location-problems\">Multi-Source Capacitated Facility Location Problem<\/a><\/noindex> (p\u00ebr dallimet e detyrave do t\u00eb flasim m\u00eb von\u00eb). Duhet th\u00ebn\u00eb se n\u00eb literatur\u00ebn matematike formulimet e k\u00ebtyre dy detyrave t\u00eb optimizimit jan\u00eb p\u00ebrshkruar n\u00eb terma t\u00eb vendosjes s\u00eb nd\u00ebrmarrjeve n\u00eb territor, prej nga dhe emri \u2018Facility Location\u2019. Kryesisht kjo \u00ebsht\u00eb nj\u00eb trash\u00ebgimi tradicionale, sepse nevoja p\u00ebr zgjidhjen e k\u00ebtyre detyrave kombinatorial ka ardhur nga fusha e logjistik\u00ebs, kryesisht, sektori industrial ushtarak n\u00eb vitet '50 t\u00eb shekullit t\u00eb kaluar. N\u00eb terma t\u00eb vendosjes s\u00eb nd\u00ebrmarrjeve, k\u00ebto detyra formulohen k\u00ebshtu: <\/p>\n<ul>\n<li>Ekziston nj\u00eb shumic\u00eb e fundme qytetesh, ku potencialisht mund t\u00eb vendosen nd\u00ebrmarrje prodhimi (m\u00eb pas qytetet-prodhues). P\u00ebr secilin qytet-prodhues jan\u00eb p\u00ebrcaktuar kostot p\u00ebr hapjen e nj\u00eb nd\u00ebrmarrjeje atje, si dhe kufizimet e kapaciteteve prodhuese t\u00eb nd\u00ebrmarrjes s\u00eb hapur.<\/li>\n<li>Ekziston nj\u00eb shumic\u00eb e fundme qytetesh, ku faktikisht ndodhen klient\u00ebt (m\u00eb pas qytetet-klient). P\u00ebr secilin qytet-klient t\u00eb till\u00eb, \u00ebsht\u00eb p\u00ebrcaktuar nj\u00eb v\u00ebllim k\u00ebrkese p\u00ebr produktin. P\u00ebr thjesht\u00ebsi, t\u00eb supozojm\u00eb se produkti q\u00eb prodhojn\u00eb nd\u00ebrmarrjet dhe konsumojn\u00eb klient\u00ebt \u00ebsht\u00eb nj\u00eb.<\/li>\n<li>P\u00ebr secil\u00ebn pal\u00eb qytet-prodhues dhe qytet-klient \u00ebsht\u00eb p\u00ebrcaktuar nj\u00eb sasi e kostove t\u00eb transportit p\u00ebr t\u00eb d\u00ebrguar v\u00ebllimin e k\u00ebrkuar t\u00eb produktit nga prodhuesi te klienti.<\/li>\n<\/ul>\n<p>\nDuhet t\u00eb gjendet se n\u00eb cilat qytete t\u00eb hapen nd\u00ebrmarrjet dhe si t\u00eb lidh\u00ebn klient\u00ebt me k\u00ebto nd\u00ebrmarrje, n\u00eb m\u00ebnyr\u00eb q\u00eb:<\/p>\n<ul>\n<li>Kostot totale t\u00eb hapjeve t\u00eb nd\u00ebrmarrjeve dhe kostot e transportit t\u00eb jen\u00eb minimale;<\/li>\n<li>V\u00ebllimi i k\u00ebrkes\u00ebs s\u00eb klient\u00ebve, t\u00eb lidhur me ndonj\u00eb nd\u00ebrmarrje t\u00eb hapur, t\u00eb mos e kaloj\u00eb kapacitetin prodhues t\u00eb k\u00ebsaj nd\u00ebrmarrjeje.<\/li>\n<\/ul>\n<p>\nTani vlen t\u00eb thuhet p\u00ebr dallimin e vet\u00ebm midis k\u00ebtyre dy detyrave klasike:<\/p>\n<ul>\n<li>Single-Source Capacitated Facility Location Problem \u2013 klienti furnizohet vet\u00ebm nga nj\u00eb nd\u00ebrmarrje t\u00eb hapur;<\/li>\n<li>Multi-Source Capacitated Facility Location Problem \u2013 klienti mund t\u00eb furnizohet nga disa nd\u00ebrmarrje t\u00eb hapura nj\u00ebherazi.<\/li>\n<\/ul>\n<p>\nKy dallim midis detyrave, n\u00eb shikim t\u00eb par\u00eb, duket i par\u00ebnd\u00ebsish\u00ebm, por n\u00eb t\u00eb v\u00ebrtet\u00eb, \u00e7on n\u00eb nj\u00eb struktur\u00eb kombinatoriale krejt\u00ebsisht t\u00eb ndryshme t\u00eb k\u00ebtyre detyrave dhe, si pasoj\u00eb, n\u00eb algoritme krejt\u00ebsisht t\u00eb ndryshme p\u00ebr zgjidhjen e tyre. Dallimi midis detyrave \u00ebsht\u00eb demonstruar n\u00eb figur\u00ebn m\u00eb posht\u00eb.<\/p>\n<p><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/77962906c7de2fced174d4a2b7785cc2.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Fig.3. a) Multi-Source Capacitated Facility Location Problem<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/0242437e488a1aea0f00ce9ede02886d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Fig.3. b) Single-Source Capacitated Facility Location Problem<\/i><\/p>\n<p>T\u00eb dy detyrat <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/b16678811fceca32d18c94e71cfaa603.jpeg\" style=\"display:block;margin: 0 auto;\" \/>jan\u00eb t\u00eb v\u00ebshtira, q\u00eb do t\u00eb thot\u00eb se nuk ekziston nj\u00eb algorit\u00ebm i sakt\u00eb, i cili p\u00ebr nj\u00eb koh\u00eb polinomiale t\u00eb madh\u00ebsis\u00eb s\u00eb t\u00eb dh\u00ebnave hyr\u00ebse do t\u00eb zgjidhte nj\u00eb detyr\u00eb t\u00eb till\u00eb. Th\u00ebn\u00eb ndryshe, t\u00eb gjitha algoritmet e sakta p\u00ebr zgjidhjen e detyr\u00ebs do t\u00eb punojn\u00eb p\u00ebr nj\u00eb koh\u00eb eksponenciale, megjithat\u00eb, ndoshta m\u00eb shpejt se provimi i plot\u00eb i mund\u00ebsive. Si\u00e7 jan\u00eb t\u00eb v\u00ebshtira, ne do t\u00eb shqyrtojm\u00eb vet\u00ebm heuristika af\u00ebr, q\u00eb do t\u00eb thot\u00eb algoritme q\u00eb do t\u00eb llogaritin zgjidhje t\u00eb q\u00ebndrueshme shum\u00eb af\u00ebr optimal\u00ebve dhe do t\u00eb funksionojn\u00eb mjaft shpejt. N\u00ebse ka interes p\u00ebr k\u00ebto detyra, k\u00ebtu mund t\u00eb gjeni nj\u00eb p\u00ebrmbledhje t\u00eb mir\u00eb n\u00eb rusisht. <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/09f42b4b905d9bdc3f00f21098f84ad7.jpeg\" style=\"display:block;margin: 0 auto;\" \/>N\u00ebse e shikojm\u00eb n\u00eb terminologjin\u00eb e detyr\u00ebs son\u00eb p\u00ebr optimizimin e mbushjes s\u00eb mallrave n\u00eb qelia, at\u00ebher\u00eb:<\/p>\n<p>qytetet-klient jan\u00eb qelit\u00eb-dhuruese<\/p>\n<ul>\n<li>me mbetje mallrash, <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/e6db70dbb85d1c7249f4c30e97e2942e.jpeg\" style=\"display:block;margin: 0 auto;\" \/> qytetet-prodhues jan\u00eb qelit\u00eb-kontenier\u00eb <\/li>\n<li>\u0433\u043e\u0440\u043e\u0434\u0430-\u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u0438\u0442\u0435\u043b\u0438 \u2013 \u044f\u0447\u0435\u0439\u043a\u0438-\u043a\u043e\u043d\u0442\u0435\u0439\u043d\u0435\u0440\u044b <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/5ef31fe0483d2bc9a0c18b5dc25e9867.jpeg\" style=\"display:block;margin: 0 auto;\" \/>, n\u00eb t\u00eb cilat parashihet t\u00eb vendosen mbetjet nga qeliza t\u00eb tjera,<\/li>\n<li>kostot e transportit \u2013 koh\u00ebzgjatja e kostove <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/afac567e9057a46de6e0f3d29df9315a.jpeg\" style=\"display:block;margin: 0 auto;\" \/> t\u00eb magjistarit p\u00ebr l\u00ebvizjet e volumit t\u00eb mallrave nga qeliza burimore <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/829df82255e40cb99024d7c8dd408d41.jpeg\" style=\"display:block;margin: 0 auto;\" \/> n\u00eb qeliz\u00ebn-container <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/b87c9d9260adb26ce623dbe80b4f22c2.jpeg\" style=\"display:block;margin: 0 auto;\" \/>; <\/li>\n<li>kostot e hapjes s\u00eb biznesit \u2013 kostot e zgjedhjes s\u00eb qeliz\u00ebs-container <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/db4d21fc2067a23b5af5bb01c412323a.jpeg\" style=\"display:block;margin: 0 auto;\" \/>, t\u00eb barabarta me volumet e qeliz\u00ebs-container <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/b631a01a65f1ffd3348cbcaeeab11f0d.jpeg\" style=\"display:block;margin: 0 auto;\" \/>, t\u00eb shum\u00ebzuara me nj\u00eb koeficient t\u00eb caktuar t\u00eb kursimeve t\u00eb hap\u00ebsirave t\u00eb lira (vlera e koeficientit gjithmon\u00eb &gt; 1) (shih seksionin p\u00ebrgatitja e t\u00eb dh\u00ebnave hyr\u00ebse).<\/li>\n<\/ul>\n<p>\nPasi t\u00eb jet\u00eb b\u00ebr\u00eb analogjia me d\u00ebrgesat klasike t\u00eb njohura, duhet t\u00eb p\u00ebrgjigjemi n\u00eb nj\u00eb pyetje t\u00eb r\u00ebnd\u00ebsishme, nga e cila varet zgjedhja e arkitektur\u00ebs s\u00eb algoritmit t\u00eb zgjidhjes: \u00ebsht\u00eb e mundur q\u00eb mbetjet t\u00eb zhvendosen nga qeliza burimore vet\u00ebm n\u00eb nj\u00eb dhe vet\u00ebm nj\u00eb container (Single-Source), ose \u00ebsht\u00eb e mundur zhvendosja e mbetjeve n\u00eb disa qeliza-container (Multi-Source)?<\/p>\n<p>Vlen t\u00eb theksohet se n\u00eb praktik\u00eb t\u00eb dy qasjet e problemit kan\u00eb vend. Do t\u00eb paraqesim t\u00eb gjitha 'pro' dhe 'kund\u00ebr' p\u00ebr secil\u00ebn prej tyre m\u00eb posht\u00eb:<\/p>\n<table>\n<tr>\n<th>Opcioni i problemit<\/th>\n<th>Avantazhet e opsionit<\/th>\n<th>Disavantazhet e opsionit<\/th>\n<\/tr>\n<tr>\n<td>Single-Source<\/td>\n<td>Veprimet e zhvendosjes s\u00eb mallrave, t\u00eb llogaritura sipas k\u00ebtij opsioni t\u00eb problemit:<\/p>\n<ul>\n<li>k\u00ebrkojn\u00eb m\u00eb pak kontroll nga ana e magjistarit (merr t\u00eb GJITHA nga nj\u00eb qeliz\u00eb, vendos t\u00eb GJITHA n\u00eb nj\u00eb qeliz\u00eb-container tjet\u00ebr), gj\u00eb q\u00eb eliminon rreziqet: gabimeve gjat\u00eb num\u00ebrimit t\u00eb sasis\u00eb s\u00eb mallrave gjat\u00eb kryerjes s\u00eb veprimeve 'Vendos n\u00eb qeliz\u00eb'; gabimeve n\u00eb hyrjen e sasis\u00eb t\u00eb rib\u00ebr\u00eb n\u00eb TSD;<\/li>\n<li>Nuk k\u00ebrkohet koh\u00eb p\u00ebr t\u00eb num\u00ebruar sasin\u00eb e mallrave gjat\u00eb kryerjes s\u00eb veprimeve 'Vendos n\u00eb qeliz\u00eb' dhe p\u00ebr t'i futur ato n\u00eb TSD<\/li>\n<\/ul>\n<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Multi-Source<\/td>\n<td>Kompresionet, t\u00eb llogaritura sipas k\u00ebtij opsioni t\u00eb problemit, zakonisht jan\u00eb m\u00eb kompakte me 10-15% krahasuar me kompresionet e llogaritura sipas opsionit 'Single-Source'. Por gjithashtu vlen t\u00eb vihet re se m\u00eb pak mbetje n\u00eb qelizat burimore, aq m\u00eb i vog\u00ebl \u00ebsht\u00eb dallimi n\u00eb kompakt\u00ebsin\u00eb.<\/td>\n<td>Veprimet e zhvendosjes s\u00eb mallrave, t\u00eb llogaritura sipas k\u00ebtij opsioni t\u00eb problemit:<\/p>\n<ul>\n<li>k\u00ebrkojn\u00eb m\u00eb shum\u00eb kontroll nga ana e magjistarit (duhet t\u00eb p\u00ebrcaktohet sasia e mallrave q\u00eb zhvendoset n\u00eb secil\u00ebn nga qelizat-container t\u00eb planifikuara), gj\u00eb q\u00eb eliminon rrezikun e gabimeve gjat\u00eb num\u00ebrimit t\u00eb sasis\u00eb s\u00eb mallrave dhe hyrjes s\u00eb t\u00eb dh\u00ebnave n\u00eb TSD gjat\u00eb kryerjes s\u00eb veprimeve 'Vendos n\u00eb qeliz\u00eb'<\/li>\n<li>K\u00ebrkohet koh\u00eb p\u00ebr t\u00eb num\u00ebruar sasin\u00eb e mallrave gjat\u00eb kryerjes s\u00eb veprimeve 'Vendos n\u00eb qeliz\u00eb'<\/li>\n<li>K\u00ebrkohet koh\u00eb p\u00ebr 'shpenzime t\u00eb tjera' (t\u00eb ndalosh, t\u00eb afrohesh tek paleta, t\u00eb skanosh kodin mat\u00ebs t\u00eb qeliz\u00ebs-container) gjat\u00eb kryerjes s\u00eb veprimeve 'Vendos n\u00eb qeliz\u00eb'<\/li>\n<li>Ndonj\u00ebher\u00eb algoritmi mund t\u00eb 'ndar\u00eb' sasin\u00eb e nj\u00eb palete pothuajse t\u00eb plot\u00eb midis nj\u00eb numri t\u00eb madh qelizash-container, ku ka mallra t\u00eb p\u00ebrshtatshme, gj\u00eb q\u00eb, nga pik\u00ebpamja e klientit, do t\u00eb ishte e papranueshme.<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n<\/table>\n<p><i>Tavola 1. Avantazhet dhe disavantazhet e opsioneve Single-Source dhe Multi-Source.<\/i><\/p>\n<p>Duke qen\u00eb se numri i avantazheve p\u00ebr opsionin Single-Source \u00ebsht\u00eb m\u00eb i madh, si dhe duke marr\u00eb parasysh faktin se sa m\u00eb pak t\u00eb jet\u00eb sasia e mbetjeve n\u00eb qelizat burimore, aq m\u00eb e vog\u00ebl \u00ebsht\u00eb dallimi n\u00eb shkall\u00ebn e kompakt\u00ebsis\u00eb s\u00eb kompresionit t\u00eb llogaritur sipas t\u00eb dy opsioneve t\u00eb problemit, zgjedhja jon\u00eb ra n\u00eb opsionin Single-Source.<\/p>\n<p>Vlen t\u00eb thuhet se zgjidhja e opsionit Multi-Source gjithashtu ka nj\u00eb vend. Ekzistojn\u00eb shum\u00eb algoritma efektiv\u00eb p\u00ebr zgjidhjen e saj, shumica e t\u00eb cil\u00ebve p\u00ebrfshihen n\u00eb zgjidhjen e nj\u00eb s\u00ebr\u00eb problemesh t\u00eb transportit. Ka gjithashtu algoritma jo vet\u00ebm efektiv\u00eb, por edhe elegant\u00eb, p\u00ebr shembull,<noindex><a rel=\"nofollow\" href=\"http:\/\/www.mathnet.ru\/php\/archive.phtml?wshow=paper&amp;jrnid=da&amp;paperid=791&amp;option_lang=rus\"> k\u00ebtu.<\/a><\/noindex><\/p>\n<h4>P\u00ebrgatitja e t\u00eb dh\u00ebnave hyr\u00ebse<\/h4>\n<p>\nPara se t\u00eb fillojm\u00eb analiz\u00ebn dhe zhvillimin e algoritmit p\u00ebr zgjidhjen e problemit, \u00ebsht\u00eb e nevojshme t\u00eb p\u00ebrcaktojm\u00eb se cilat t\u00eb dh\u00ebna dhe n\u00eb \u00e7far\u00eb forme do t'i dor\u00ebzojm\u00eb atij. Me volumet e mbetjeve t\u00eb mallrave n\u00eb qelizat burimore dhe kapacitetin e qelizave-container nuk ka probleme, sepse ato jan\u00eb triviale \u2013 k\u00ebto sasi do t\u00eb matet n\u00eb m3, por me kostot e p\u00ebrdorimit t\u00eb qeliz\u00ebs-container dhe matric\u00ebn e kostove p\u00ebr zhvendosjen nuk \u00ebsht\u00eb aq e thjesht\u00eb!<\/p>\n<p>Fillimisht do t\u00eb shqyrtojm\u00eb llogaritjen <b>e kostove t\u00eb zhvendosjes s\u00eb mallrave<\/b> nga qeliza burimore n\u00eb qeliza-container. S\u00eb pari, duhet t\u00eb p\u00ebrcaktojm\u00eb n\u00eb cilat nj\u00ebsi mat\u00ebse do t\u00eb llogarisim kostot e zhvendosjes. Dy opsionet m\u00eb t\u00eb dukshme \u2013 jan\u00eb metrat dhe sekondat. N\u00eb 'metra t\u00eb past\u00ebr' nuk ka sens t\u00eb llogariten kostot e zhvendosjes. Do ta tregojm\u00eb k\u00ebt\u00eb me nj\u00eb shembull. Le t\u00eb themi se qeliza <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/990a5fae8988ddf41395483263de2bcc.jpeg\" style=\"display:block;margin: 0 auto;\" \/> ndodhet n\u00eb katin e par\u00eb, qeliza <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/9d17b98e807444f431d01f2e77fc96f7.jpeg\" style=\"display:block;margin: 0 auto;\" \/> \u00ebsht\u00eb e larg\u00ebt 30 metra dhe ndodhet n\u00eb katin e dyt\u00eb:<\/p>\n<ul>\n<li>Zhvendosja nga <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/3188fd9853d5cda2834a5083539ac11d.jpeg\" style=\"display:block;margin: 0 auto;\" \/> n\u00eb <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/e212a0be19ea687b1017c3aacec3df19.jpeg\" style=\"display:block;margin: 0 auto;\" \/> \u00ebsht\u00eb m\u00eb e shtrenjt\u00eb se zhvendosja nga <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/d65e60dec37fb3b83c83ca1c566f1ee9.jpeg\" style=\"display:block;margin: 0 auto;\" \/> n\u00eb <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/4168198a4c90bdd3dd4b7f0c904b06e0.jpeg\" style=\"display:block;margin: 0 auto;\" \/>, sepse \u00ebsht\u00eb m\u00eb e leht\u00eb t\u00eb zgjat\u00ebsh posht\u00eb nga kati i dyt\u00eb (1.5-2 metra nga toka) sesa t\u00eb ngresh n\u00eb t\u00eb dytin, megjith\u00ebse distanca do t\u00eb kaloj\u00eb e nj\u00ebjt\u00eb;<\/li>\n<li>T\u00eb zhvendos\u00ebsh 1 cop\u00eb mall nga qeliza <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/039864ccd0a2bd14a99a83494f056fa3.jpeg\" style=\"display:block;margin: 0 auto;\" \/> n\u00eb <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/9f9bc7a256119b110f47760b145e174b.jpeg\" style=\"display:block;margin: 0 auto;\" \/> do t\u00eb jet\u00eb m\u00eb e leht\u00eb se t\u00eb zhvendos\u00ebsh 10 cop\u00eb t\u00eb atij mallit, megjith\u00ebse distanca do t\u00eb kaloj\u00eb e nj\u00ebjt\u00eb.<\/li>\n<\/ul>\n<p>\nShpenzimet p\u00ebr transferim duhet t\u00eb merren parasysh n\u00eb sekonda, pasi kjo mund\u00ebson marrjen parasysh t\u00eb dallimeve n\u00eb katet dhe sasin\u00eb e mallrave t\u00eb transferuar. P\u00ebr t\u00eb vlejtur shpenzimet e transferimit n\u00eb sekonda, duhet t\u00eb ndarje operacionin e transferimit n\u00eb komponent\u00ebt elementar\u00eb dhe t\u00eb realizohet matja e koh\u00ebs p\u00ebr p\u00ebrfundimin e \u00e7do komponenti elementar.<\/p>\n<p>Le t\u00eb thuhet se nga qeliza <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/538c4304e37f340a5a5a8e47e0ee2865.jpeg\" style=\"display:block;margin: 0 auto;\" \/> transferohet <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/6c7e32728f4771726f8ef9b2d78111d6.jpeg\" style=\"display:block;margin: 0 auto;\" \/> cop\u00ebra mallrash n\u00eb kontejner <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/fc2ad051b500eae5884404f4b9419841.jpeg\" style=\"display:block;margin: 0 auto;\" \/>. Le t\u00eb thuhet se <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/6733192a31618a03e51e8e3133cb96ee.jpeg\" style=\"display:block;margin: 0 auto;\" \/> \u00ebsht\u00eb shpejt\u00ebsia mesatare e l\u00ebvizjes s\u00eb pun\u00ebtorit n\u00eb depo, e matur n\u00eb m\/se. Le t\u00eb thuhet se <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/97f7e9c65c2196fa586f957618d1c8a2.jpeg\" style=\"display:block;margin: 0 auto;\" \/> dhe <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/bbe48d987f180e2f9ccec6e090e6f942.jpeg\" style=\"display:block;margin: 0 auto;\" \/> jan\u00eb shpejt\u00ebsit\u00eb mesatare p\u00ebr kryerjen nj\u00eb her\u00eb t\u00eb operacioneve t\u00eb marrjes dhe vendosjes, p\u00ebr nj\u00eb volum mallrash t\u00eb barabart\u00eb me 4 dm3 (v\u00ebllimi mesatar q\u00eb punonj\u00ebsi e merr nj\u00eb her\u00eb gjat\u00eb operacioneve n\u00eb depo). Le t\u00eb thuhet se <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/267d74648f49d5a2d063b1377c6d2fe6.jpeg\" style=\"display:block;margin: 0 auto;\" \/> dhe <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/fefdd606d5a81ba4e2ce57b107dfe1e6.jpeg\" style=\"display:block;margin: 0 auto;\" \/> lart\u00ebsit\u00eb e qelizave nga t\u00eb cilat kryhen operacionet e marrjes dhe vendosjes jan\u00eb p\u00ebrkat\u00ebsisht. P\u00ebr shembull, lart\u00ebsia mesatare e katit t\u00eb par\u00eb (dhe) 1 m, katit t\u00eb dyt\u00eb 2 m etj. At\u00ebher\u00eb formula p\u00ebr t\u00eb llogaritur koh\u00ebn totale t\u00eb p\u00ebrfundimit t\u00eb operacionit t\u00eb transferimit <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/a48ae3c2e9dc8f2c3108cb2be1f96c40.jpeg\" style=\"display:block;margin: 0 auto;\" \/> \u00ebsht\u00eb si n\u00eb vijim:<\/p>\n<p><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/55afb96b1141bb5656351bdaeba31ae4.jpeg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>Tabela 2 paraqet statistik\u00ebn e kohrave t\u00eb p\u00ebrfundimit p\u00ebr \u00e7do operacion elementar, t\u00eb mbledhur nga punonj\u00ebsit e depos duke marr\u00eb parasysh specifik\u00ebn e mallrave t\u00eb ruajtur.<\/p>\n<table>\n<tr>\n<th>Emri i operacionit<\/th>\n<th>Simboli<\/th>\n<th>Vlera mesatare<\/th>\n<\/tr>\n<tr>\n<td>Shpejt\u00ebsia mesatare e l\u00ebvizjes s\u00eb pun\u00ebtorit n\u00eb depo<\/td>\n<td><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/dadbfb13d2b84b95ab2c5d653a21668b.jpeg\" style=\"display:block;margin: 0 auto;\" \/><\/td>\n<td>1.5 m\/se<\/td>\n<\/tr>\n<tr>\n<td>Shpejt\u00ebsia mesatare e kryerjes s\u00eb nj\u00eb operacioni t\u00eb vendosjes (p\u00ebr volum mallrash 4 dm3)<\/td>\n<td><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/aa619b43a70a7cf646ad35d5c8883329.jpeg\" style=\"display:block;margin: 0 auto;\" \/><\/td>\n<td>2.4 sek<\/td>\n<\/tr>\n<\/table>\n<p><i>Tabela 2. Koha mesatare e kryerjes s\u00eb operacioneve n\u00eb depo<\/i><\/p>\n<p>Tani e kemi p\u00ebrcaktuar m\u00ebnyr\u00ebn e llogaritjes s\u00eb shpenzimeve p\u00ebr transferim. Tani duhet t\u00eb zbulojm\u00eb se si llogaritet <b>shpenzimi p\u00ebr zgjedhjen e qelis\u00eb-konteiner.<\/b>K\u00ebtu gjith\u00e7ka \u00ebsht\u00eb shum\u00eb, shum\u00eb m\u00eb e komplikuar se me shpenzimet p\u00ebr transferim, sepse: <\/p>\n<ul>\n<li>s\u00eb pari, shpenzimet duhet t\u00eb jen\u00eb n\u00eb var\u00ebsi t\u00eb drejtp\u00ebrdrejt\u00eb nga volumi i qelis\u00eb - nj\u00eb volum i nj\u00ebjt\u00eb i mbetjeve, t\u00eb transferuara nga qelizat dhuruese, \u00ebsht\u00eb m\u00eb mir\u00eb t\u00eb vendoset n\u00eb nj\u00eb kontejner m\u00eb t\u00eb vog\u00ebl sesa n\u00eb nj\u00eb kontejner t\u00eb madh, n\u00ebse ky volum plot\u00ebsisht arrin p\u00ebr t\u00eb dy konteiner\u00ebt. K\u00ebshtu, me minimizimin e shpenzimeve totale p\u00ebr zgjedhjen e konteiner\u00ebve, ne p\u00ebrpiqemi t\u00eb kursejm\u00eb kapacitetet e depozitimit \"t\u00eb deficituara\" n\u00eb fush\u00ebn e zon\u00ebs s\u00eb p\u00ebrzgjedhjes, p\u00ebr t\u00eb kryer operacione t\u00eb m\u00ebtejshme t\u00eb vendosjes s\u00eb mallrave n\u00eb qeliza. N\u00eb figur\u00ebn 4 ilustrohen variantet e transferimit t\u00eb mbetjeve n\u00eb konteiner\u00eb t\u00eb m\u00ebdhenj dhe t\u00eb vegj\u00ebl dhe pasojat e k\u00ebtyre varianteve t\u00eb transferimit gjat\u00eb p\u00ebrfundimit t\u00eb operacioneve t\u00eb m\u00ebtejshme n\u00eb depo.<\/li>\n<li>s\u00eb dyti, pasi na duhet t\u00eb minimizojm\u00eb p\u00ebrgjith\u00ebsisht shpenzimet, duke p\u00ebrfshir\u00eb si shpenzimet p\u00ebr transferim ashtu edhe shpenzimet p\u00ebr zgjedhjen e konteiner\u00ebve, volumin e qelive n\u00eb metra kub duhet t\u00eb lidhet disi me sekondat, gj\u00eb q\u00eb nuk \u00ebsht\u00eb aspak e thjesht\u00eb.<\/li>\n<\/ul>\n<p>\n<img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/2c906f9e80b32fcb111fcba7000ea2ba.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Fig. 4. Variantet e transferimit t\u00eb mbetjeve n\u00eb konteiner\u00eb me kapacitet t\u00eb ndrysh\u00ebm.<\/i><\/p>\n<p>N\u00eb figur\u00ebn 4, me ngjyr\u00eb t\u00eb kuqe paraqitet volumi i mbetjeve, i cili nuk mund t\u00eb p\u00ebrshtatet n\u00eb kontejner n\u00eb faz\u00ebn e dyt\u00eb t\u00eb vendosjes s\u00eb mallrave t\u00eb m\u00ebtejsh\u00ebm. <\/p>\n<p>Do t\u00eb ndihmoj\u00eb lidhja e metrave kub t\u00eb shpenzimeve p\u00ebr zgjedhjen e konteinerit me sekondat e shpenzimeve p\u00ebr transferim k\u00ebto k\u00ebrkesa p\u00ebr zgjidhjet e llogaritura:<\/p>\n<ul>\n<li>Duhet t\u00eb sigurohet q\u00eb mbetjet nga qeliza-dhuruese t\u00eb transferohen n\u00eb qeliza-konteiner n\u00eb \u00e7do rast, n\u00ebse kjo redukton numrin e p\u00ebrgjithsh\u00ebm t\u00eb qelizave-konteiner n\u00eb t\u00eb cilat ndodhet mallri.<\/li>\n<li>Duhet t\u00eb ruhet balanci mes volumit t\u00eb konteiner\u00ebve dhe shpenzimeve t\u00eb koh\u00ebs p\u00ebr transferim: p\u00ebr shembull, n\u00ebse n\u00eb variantin e ri t\u00eb zgjidhjes s\u00eb problemit, krahasuar me variantin e m\u00ebparsh\u00ebm, fitimi n\u00eb volum \u00ebsht\u00eb i madh, nd\u00ebrsa humbja n\u00eb shpenzimet e koh\u00ebs \u00ebsht\u00eb e vog\u00ebl, at\u00ebher\u00eb duhet t\u00eb zgjidhet varianti i ri.<\/li>\n<\/ul>\n<p>\nT\u00eb fillojm\u00eb me k\u00ebrkes\u00ebn e fundit. P\u00ebr t\u00eb konkretizuar fjal\u00ebn shum\u00ebkuptim\u00ebshe \"balanc\u00eb\", ne zhvilluam nj\u00eb anket\u00eb tek punonj\u00ebsit e depos p\u00ebr t\u00eb zbuluar sa vijon. Le t\u00eb supozojm\u00eb se ka nj\u00eb qeli-konteiner me volum <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/2b831b12448ccaee33c528ac622b7ee3.jpeg\" style=\"display:block;margin: 0 auto;\" \/>, n\u00eb t\u00eb cilin \u00ebsht\u00eb caktuar transferimi i mbetjeve nga qelizat dhuruese dhe koha totale e k\u00ebtij transferimi \u00ebsht\u00eb e barabart\u00eb me <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/8050f4b02464164d334048bda86b3923.jpeg\" style=\"display:block;margin: 0 auto;\" \/>. Le t\u00eb ket\u00eb disa variante alternative p\u00ebr vendosjen e t\u00eb nj\u00ebjt\u00ebs sasi mallrash nga t\u00eb nj\u00ebjtat qeliza dhuruese n\u00eb konteiner\u00eb t\u00eb ndrysh\u00ebm, ku \u00e7do vendosje ka vler\u00ebsimet e saj. <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/76f11cd5ab85f9092c8f458d01ac347b.jpeg\" style=\"display:block;margin: 0 auto;\" \/>, ku <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/9e735d8a9c4cff3c69fd926eac8c85aa.jpeg\" style=\"display:block;margin: 0 auto;\" \/>&lt;<img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/d963e193a263a1505467c19e874f0aab.jpeg\" style=\"display:block;margin: 0 auto;\" \/> dhe <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/ff5d990cf5a1752d7bb45da9fd58cd7a.jpeg\" style=\"display:block;margin: 0 auto;\" \/>, ku <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/485f34b3e720011c38740712cdb8edd9.jpeg\" style=\"display:block;margin: 0 auto;\" \/>&gt;<img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/c66b20d93fd1791e9f186f707b1517bb.jpeg\" style=\"display:block;margin: 0 auto;\" \/>. <\/p>\n<p>Cila \u00ebsht\u00eb pyetja: cili \u00ebsht\u00eb p\u00ebrfitimi minimal n\u00eb volum <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/86861ad2236d827efdc683d759d4c120.jpeg\" style=\"display:block;margin: 0 auto;\" \/> i pranuesh\u00ebm, me nj\u00eb vler\u00eb t\u00eb caktuar t\u00eb humbjes n\u00eb koh\u00eb. <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/3d49171042fd83244c054dfd84e5c6bb.jpeg\" style=\"display:block;margin: 0 auto;\" \/>? \u041f\u043e\u044f\u0441\u043d\u0438\u043c \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435. \u0418\u0437\u043d\u0430\u0447\u0430\u043b\u044c\u043d\u043e \u043e\u0441\u0442\u0430\u0442\u043a\u0438 \u043f\u043e\u043b\u0430\u0433\u0430\u043b\u043e\u0441\u044c \u0440\u0430\u0437\u043c\u0435\u0449\u0430\u0442\u044c \u0432 \u043a\u043e\u043d\u0442\u0435\u0439\u043d\u0435\u0440 \u043e\u0431\u044a\u0435\u043c\u0430 1000 \u0434\u043c3 (1 \u043c3) \u0438 \u0432\u0440\u0435\u043c\u044f \u043d\u0430 \u043f\u0435\u0440\u0435\u043c\u0435\u0449\u0435\u043d\u0438\u0435 \u0441\u043e\u0441\u0442\u0430\u0432\u0438\u043b\u043e 70 \u0441\u0435\u043a\u0443\u043d\u0434. \u0415\u0441\u0442\u044c \u0432\u0430\u0440\u0438\u0430\u043d\u0442 \u0440\u0430\u0437\u043c\u0435\u0449\u0435\u043d\u0438\u044f \u043e\u0441\u0442\u0430\u0442\u043a\u043e\u0432 \u0432 \u0434\u0440\u0443\u0433\u043e\u0439 \u043a\u043e\u043d\u0442\u0435\u0439\u043d\u0435\u0440 \u043e\u0431\u044a\u0435\u043c\u0430 500 \u0434\u043c3 \u0438 \u0432\u0440\u0435\u043c\u0435\u043d\u0435\u043c 130 \u0441\u0435\u043a\u0443\u043d\u0434. \u0412\u043e\u043f\u0440\u043e\u0441: \u0433\u043e\u0442\u043e\u0432\u044b \u043b\u0438 \u043c\u044b \u0442\u0440\u0430\u0442\u0438\u0442\u044c \u0435\u0449\u0435 \u0434\u043e\u043f\u043e\u043b\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 60 \u0441\u0435\u043a\u0443\u043d\u0434 \u0432\u0440\u0435\u043c\u0435\u043d\u0438 \u043a\u043b\u0430\u0434\u043e\u0432\u0449\u0438\u043a\u0430 \u043d\u0430 \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u0449\u0435\u043d\u0438\u044f \u0434\u043b\u044f \u0442\u043e\u0433\u043e, \u0447\u0442\u043e\u0431\u044b \u0441\u044d\u043a\u043e\u043d\u043e\u043c\u0438\u0442\u044c 500 \u0434\u043c3 \u0441\u0432\u043e\u0431\u043e\u0434\u043d\u043e\u0433\u043e \u043e\u0431\u044a\u0435\u043c\u0430? \u041f\u043e \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0430\u043c \u043e\u043f\u0440\u043e\u0441\u0430 \u0441\u043e\u0442\u0440\u0443\u0434\u043d\u0438\u043a\u043e\u0432 \u0441\u043a\u043b\u0430\u0434\u0430 \u0431\u044b\u043b\u0430 \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0430 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0430\u044f \u0434\u0438\u0430\u0433\u0440\u0430\u043c\u043c\u0430.<\/p>\n<p><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/283289c63fe1232e95b73d1dffdaa030.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Fig. 5. Diagrami i varshm\u00ebris\u00eb s\u00eb kursimit minimal t\u00eb volumin nga rritja e diferenc\u00ebs n\u00eb koh\u00ebn e p\u00ebrfundimit t\u00eb operacionit.<\/i><\/p>\n<p>K\u00ebshtu, n\u00ebse shpenzimet shtes\u00eb t\u00eb koh\u00ebs jan\u00eb 40 sekonda, ne jemi t\u00eb gatsh\u00ebm t\u2019i shpenzojm\u00eb ato vet\u00ebm kur p\u00ebrfitimi n\u00eb volum \u00ebsht\u00eb t\u00eb pakt\u00ebn 500 dm3. Pavar\u00ebsisht nga fakti se n\u00eb varshm\u00ebri ekziston nj\u00eb paksa jo-line, p\u00ebr thjesht\u00ebsin\u00eb e llogaritjeve t\u00eb m\u00ebtejshme, do t\u00eb supozojm\u00eb se varshm\u00ebria mes k\u00ebtyre sasive \u00ebsht\u00eb lineare dhe p\u00ebrshkruhet nga nj\u00eb barazim.<\/p>\n<p><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/666802648033d918a1119e58963feffe.jpeg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>N\u00eb figur\u00ebn m\u00eb posht\u00eb, ne do t\u00eb shqyrtojm\u00eb m\u00ebnyrat e ndryshme t\u00eb vendosjes s\u00eb produkteve n\u00eb kontenier\u00eb.<\/p>\n<p><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/a1cb3a5bce4c369f63b3ebeebb738911.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Fig. 6. Varianti (a): 2 kontenier\u00eb, volumi total 400 dm3, koha totale 150 sekonda.<\/i><br \/>\n<img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/a13f35b0e2a188e9a8cbf27bcfbf0292.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Fig. 6. Varianti (b): 2 kontenier\u00eb, volumi total 600 dm3, koha totale 190 sekonda.<\/i><br \/>\n<img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/35699c8bd00546c9828dbe50d4b53c46.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Fig. 6. Varianti (c): 1 kontenier, volumi total 400 dm3, koha totale 200 sekonda.<\/i><\/p>\n<p>Varianti (a) i zgjedhjes s\u00eb kontenier\u00ebve \u00ebsht\u00eb m\u00eb i preferuesh\u00ebm se varianti fillestar, pasi plot\u00ebsohet pabarazia: (800-400)\/10 &gt;= 150-120 nga e cila ndjekim 40 &gt;= 30. Varianti (b) \u00ebsht\u00eb m\u00eb pak i preferuesh\u00ebm se varianti fillestar, pasi pabarazia nuk b\u00ebhet: (800-600)\/10 &gt;= 190-150 nga e cila ndjekim 20 &gt;= 40. Por varianti (c) nuk p\u00ebrputhet me k\u00ebt\u00eb logjik\u00eb! Le t\u00eb shqyrtojm\u00eb k\u00ebt\u00eb variant m\u00eb n\u00eb detaje. Nga ana e par\u00eb pabarazia (800-400)\/10 &gt;= 200-120, pra pabarazia 40 &gt;= 80 nuk plot\u00ebsohet, \u00e7ka tregon se fitimi nga volumi nuk justifikon nj\u00eb humbje kaq t\u00eb madhe n\u00eb koh\u00eb. <\/p>\n<p>Por nga ana tjet\u00ebr, n\u00eb k\u00ebt\u00eb variant (c) ne jo vet\u00ebm q\u00eb zvog\u00eblojm\u00eb volumin e mbushur total, por gjithashtu ulim numrin e qelizave t\u00eb z\u00ebna, q\u00eb \u00ebsht\u00eb k\u00ebrkesa e par\u00eb nga dy k\u00ebrkesat e r\u00ebnd\u00ebsishme p\u00ebr zgjidhjet e llogaritura t\u00eb detyrave, t\u00eb renditura m\u00eb sip\u00ebr. E qart\u00eb \u00ebsht\u00eb se p\u00ebr t\u00eb filluar ndaj k\u00ebtij k\u00ebrkese, duhet t\u00eb shtojm\u00eb nj\u00eb konstante pozitive n\u00eb an\u00ebn e majt\u00eb t\u00eb pabarazis\u00eb. <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/61d6b2cb21474a2f4512d6a130a15a0a.jpeg\" style=\"display:block;margin: 0 auto;\" \/>, k\u00ebshtu q\u00eb duhet t\u00eb shtojm\u00eb nj\u00eb konstante t\u00eb till\u00eb vet\u00ebm kur numri i kontenier\u00ebve zvog\u00eblohet. Kujtojm\u00eb se <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/d80d33679896035041d0ca9a78e8177a.jpeg\" style=\"display:block;margin: 0 auto;\" \/> \u2014 \u00ebsht\u00eb nj\u00eb variab\u00ebl q\u00eb \u00ebsht\u00eb e barabart\u00eb me 1 kur kontenieri <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/a83cd6273e544b63099939e6845740fb.jpeg\" style=\"display:block;margin: 0 auto;\" \/> \u00ebsht\u00eb zgjedhur, dhe 0 kur kontenieri <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/bc94d9e952782e630125a6e8919ba5ad.jpeg\" style=\"display:block;margin: 0 auto;\" \/> nuk \u00ebsht\u00eb zgjedhur. Le t\u00eb sh\u00ebnojm\u00eb, <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/1e3fb5d7013e60f67c56a56899630852.jpeg\" style=\"display:block;margin: 0 auto;\" \/> \u2013 seti i kontenier\u00ebve n\u00eb zgjidhjen fillestare dhe <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/26ac9732af37e865cea1bb10a343175c.jpeg\" style=\"display:block;margin: 0 auto;\" \/> \u2013 seti i kontenier\u00ebve n\u00eb zgjidhjen e re. N\u00eb form\u00eb t\u00eb p\u00ebrgjithshme, pabarazia e re do t\u00eb duket k\u00ebshtu:<\/p>\n<p><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/1237914e5fdafcc6013203e2624009d0.jpeg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>Duke transformuar pabarazin\u00eb e lartp\u00ebrmendur, ne marrim <\/p>\n<p><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/80b039f9ef44301c3b624ada42c28db8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>Duke e pasur k\u00ebt\u00eb, kemi formul\u00ebn p\u00ebr llogaritjen e kostos totale <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/cb5bce584fee0156b23adbab83f66b33.jpeg\" style=\"display:block;margin: 0 auto;\" \/> e nj\u00eb varianti t\u00eb caktuar t\u00eb zgjidhjes s\u00eb detyr\u00ebs:<\/p>\n<p><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/34f382d40368a980674914916c65b4ec.jpeg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p><b>Por tani del pyetja<\/b>: \u00e7far\u00eb vler\u00eb duhet t\u00eb ket\u00eb kjo konstante <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/e4754f88bcddfba85b3c785512bee697.jpeg\" style=\"display:block;margin: 0 auto;\" \/>? \u041e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u0447\u0442\u043e \u0435\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0434\u043e\u043b\u0436\u043d\u043e \u0431\u044b\u0442\u044c \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u0431\u043e\u043b\u044c\u0448\u0438\u043c, \u0434\u043b\u044f \u0442\u043e\u0433\u043e, \u0447\u0442\u043e\u0431\u044b \u0432\u0441\u0435\u0433\u0434\u0430 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u043b\u043e\u0441\u044c \u043f\u0435\u0440\u0432\u043e\u0435 \u0442\u0440\u0435\u0431\u043e\u0432\u0430\u043d\u0438\u0435 \u043a \u0440\u0435\u0448\u0435\u043d\u0438\u044f\u043c \u0437\u0430\u0434\u0430\u0447\u0438. \u041c\u043e\u0436\u043d\u043e \u043a\u043e\u043d\u0435\u0447\u043d\u043e \u0432\u0437\u044f\u0442\u044c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043a\u043e\u043d\u0441\u0442\u0430\u043d\u0442\u044b \u0440\u0430\u0432\u043d\u043e\u0435 103 \u0438\u043b\u0438 106, \u043d\u043e \u0445\u043e\u0442\u0435\u043b\u043e\u0441\u044c \u0431\u044b \u0438\u0437\u0431\u0435\u0436\u0430\u0442\u044c \u0442\u0430\u043a\u0438\u0445 \u00abmagic numbers\u00bb. \u0415\u0441\u043b\u0438 \u0431\u0443\u0434\u0435\u043c \u0440\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u0442\u044c \u0441\u043f\u0435\u0446\u0438\u0444\u0438\u043a\u0443 \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u044f \u0441\u043a\u043b\u0430\u0434\u0441\u043a\u0438\u0445 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0439, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0432\u043f\u043e\u043b\u043d\u0435 \u043e\u0431\u043e\u0441\u043d\u043e\u0432\u0430\u043d\u043d\u044b\u0445 \u0447\u0438\u0441\u043b\u043e\u0432\u044b\u0445 \u043e\u0446\u0435\u043d\u043e\u043a \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u044b \u0442\u0430\u043a\u043e\u0439 \u043a\u043e\u043d\u0441\u0442\u0430\u043d\u0442\u044b.<\/p>\n<p>Le t\u00eb themi se <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/50deefe99bf1d5f948a49591904a8bfe.jpeg\" style=\"display:block;margin: 0 auto;\" \/> \u2013 distanca maksimale midis qelizave t\u00eb magazin\u00ebs n\u00eb nj\u00eb zon\u00eb ABC, e barabart\u00eb n\u00eb rastin ton\u00eb me 100 m. Le t\u00eb themi se <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/466892dd75279d08b4835a42e62444d4.jpeg\" style=\"display:block;margin: 0 auto;\" \/> \u2013 volumi maksimal i qeliz\u00ebs-kontenier n\u00eb magazin\u00eb, i barabart\u00eb n\u00eb rastin ton\u00eb me 1000 dm3.<\/p>\n<p><b>M\u00ebnyra e par\u00eb p\u00ebr llogaritjen e madh\u00ebsis\u00eb<\/b> <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/29b94b534da709020cbef206cb0d7dac.jpeg\" style=\"display:block;margin: 0 auto;\" \/>. Le t\u00eb shqyrtojm\u00eb situat\u00ebn, kur ka 2 kontenier\u00eb n\u00eb katin e par\u00eb, n\u00eb t\u00eb cil\u00ebt tashm\u00eb fizikisht ndodhet produkti, dometh\u00ebn\u00eb, ata vet\u00eb jan\u00eb qeliza-dh\u00ebn\u00ebs, nd\u00ebrsa shpenzimet p\u00ebr zhvendosjen e produktit n\u00eb t\u00eb nj\u00ebjtat qeliza, natyrisht, jan\u00eb t\u00eb barabarta me 0. Duhet t\u00eb gjejm\u00eb nj\u00eb vler\u00eb t\u00eb till\u00eb konstante <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/5cf81db57dd2a18cc0ec29bb7ca3da62.jpeg\" style=\"display:block;margin: 0 auto;\" \/>, p\u00ebr t\u00eb cil\u00ebn do t\u00eb ishte e favorshme gjithmon\u00eb t\u00eb zhvendosnim mbetjet nga konteneri 1 n\u00eb kontenerin 2. Duke vendosur vlerat <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/20bbd09e167edc3eb1ed49d8078ecf19.jpeg\" style=\"display:block;margin: 0 auto;\" \/> dhe <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/605017af48e7b3ca4a323642db4227cd.jpeg\" style=\"display:block;margin: 0 auto;\" \/> n\u00eb pabarazin\u00eb e lartp\u00ebrmendur, ne marrim:<\/p>\n<p><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/2794955b8f9f3d64ffe4e2b449547555.jpeg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>nga e cila ndjekim<\/p>\n<p><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/292a6e80c646c7eed80e888c8805990c.jpeg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>Duke vendosur vlerat e koh\u00ebs mesatare t\u00eb ekzekutimit t\u00eb operacioneve elementare n\u00eb formul\u00ebn e lartp\u00ebrmendur, ne marrim<\/p>\n<p><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/1f56bf1f98c1a3bbd65a4cea99da7efb.jpeg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p><b>M\u00ebnyra e dyt\u00eb p\u00ebr llogaritjen e madh\u00ebsis\u00eb<\/b> <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/78e3dff7183b15136d9e03f4a5724479.jpeg\" style=\"display:block;margin: 0 auto;\" \/>. Le t\u00eb shqyrtojm\u00eb situat\u00ebn, kur ka <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/02daff1eff70a2963ab8eaa067f15584.jpeg\" style=\"display:block;margin: 0 auto;\" \/> qeliza-dh\u00ebn\u00ebse nga t\u00eb cilat planifikohet t\u00eb zhvendosen produktet n\u00eb kontenerin 1. Le t\u00eb sh\u00ebnojm\u00eb <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/df20c3f27815f2060aae20d260210893.jpeg\" style=\"display:block;margin: 0 auto;\" \/> \u2013 distanca nga qeliza-dh\u00ebn\u00ebse <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/a29ace66656cf1680c9e00258a9ff597.jpeg\" style=\"display:block;margin: 0 auto;\" \/> n\u00eb kontenerin 1. Gjithashtu ka nj\u00eb kontenier 2, n\u00eb t\u00eb cilin tashm\u00eb ka produkte, dhe volumi i tij lejon t\u00eb p\u00ebrmbaj\u00eb mbetjet nga t\u00eb gjitha <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/e25f0828e7d794f8d804528395f6dc7e.jpeg\" style=\"display:block;margin: 0 auto;\" \/> qelizat. P\u00ebr thjesht\u00ebsi, le t\u00eb supozojm\u00eb se volumi i produktit, q\u00eb po zhvendoset nga qelizat-dh\u00ebn\u00ebse n\u00eb kontenier\u00eb, \u00ebsht\u00eb i nj\u00ebjt\u00eb dhe i barabart\u00eb me <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/35c3392a83fc3b7eef928ddb5e93961a.jpeg\" style=\"display:block;margin: 0 auto;\" \/>. Duhet t\u00eb gjejm\u00eb nj\u00eb vler\u00eb t\u00eb till\u00eb konstante <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/c9bc10aade46cc3c63628c0ba100b364.jpeg\" style=\"display:block;margin: 0 auto;\" \/>, p\u00ebr t\u00eb cil\u00ebn vendosja e t\u00eb gjitha mbetjeve nga <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/e610d9981da2857a541f028a217f2306.jpeg\" style=\"display:block;margin: 0 auto;\" \/> qelizat n\u00eb kontenerin 2 do t\u00eb ishte gjithmon\u00eb m\u00eb e favorshme se sa vendosja e tyre n\u00eb m\u00ebnyra t\u00eb ndryshme:<\/p>\n<p><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/27f4f99a920799fba9725f30a04c8ebc.jpeg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>Duke transformuar pabarazin\u00eb, ne marrim<\/p>\n<p><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/56abddb4fc3e54eeb1fe466c68e5d8d7.jpeg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>P\u00ebr t\u00eb \"forcuar\" vler\u00ebn e madh\u00ebsis\u00eb <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/d77359ea816f9d45a8910cb26649f717.jpeg\" style=\"display:block;margin: 0 auto;\" \/>, le t\u00eb pranojm\u00eb se <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/9edf13fb4e34b5da26957e451300046f.jpeg\" style=\"display:block;margin: 0 auto;\" \/> = 0. Numri mesatar i qelizave q\u00eb zakonisht jan\u00eb t\u00eb angazhuara n\u00eb procedur\u00ebn e shkrirjes s\u00eb mbetjeve n\u00eb magazin\u00eb \u00ebsht\u00eb 10. Duke vendosur vlerat e njohura, kemi vler\u00ebn e m\u00ebposhtme t\u00eb konstantes<\/p>\n<p><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/40323791fd8cd2be3f29a2becf78e175.jpeg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>Marrim vler\u00ebn m\u00eb t\u00eb madhe, t\u00eb llogaritur p\u00ebr secilin variant, kjo do t\u00eb jet\u00eb dhe vlera e madh\u00ebsis\u00eb <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/fd018460792c79b8a7953c06b839711d.jpeg\" style=\"display:block;margin: 0 auto;\" \/> p\u00ebr parametrat e caktuar t\u00eb magazin\u00ebs. Tani p\u00ebr p\u00ebrfundim, le t\u00eb shkruajm\u00eb formul\u00ebn p\u00ebr llogaritjen e kostove totale <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/d4cb2c81bcc788380f1f0c1123b0eeda.jpeg\" style=\"display:block;margin: 0 auto;\" \/> p\u00ebr nj\u00eb zgjidhje t\u00eb pranueshme <img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/052e710199e9417aaea94b16dbed47d3.jpeg\" style=\"display:block;margin: 0 auto;\" \/>:<\/p>\n<p><img decoding=\"async\" alt=\"Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb qeliza (pjesa 1)\" src=\"\/wp-content\/uploads\/2019\/08\/8dd672c7b91639fe1872ef50dca7a220.jpeg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>Tani, pas t\u00eb gjitha <b>p\u00ebrpjekjeve titanike<\/b> p\u00ebr transformimin e t\u00eb dh\u00ebnave hyr\u00ebse, mund t\u00eb themi se t\u00eb gjitha t\u00eb dh\u00ebnat hyr\u00ebse jan\u00eb transformuar n\u00eb form\u00ebn e nevojshme dhe jan\u00eb gati p\u00ebr t'u p\u00ebrdorur n\u00eb algoritmin e optimizimit.<\/p>\n<h4>P\u00ebrfundimi<\/h4>\n<p>\nSi\u00e7 tregojn\u00eb praktikat, ngarkesa punuese dhe r\u00ebnd\u00ebsia e faz\u00ebs s\u00eb p\u00ebrgatitjes dhe transformimit t\u00eb t\u00eb dh\u00ebnave hyr\u00ebse p\u00ebr algoritmin shpesh n\u00ebnvler\u00ebsohet. N\u00eb k\u00ebt\u00eb artikull ne i kemi kushtuar shum\u00eb v\u00ebmendje k\u00ebtij treguesi, p\u00ebr t\u00eb treguar se vet\u00ebm t\u00eb dh\u00ebnat hyr\u00ebse t\u00eb p\u00ebrgatitura mir\u00eb dhe me mend mund t'i b\u00ebjn\u00eb zgjidhjet, t\u00eb llogaritura nga algoritmi, v\u00ebrtet t\u00eb vlefshme p\u00ebr klientin. Po, ka pasur shum\u00eb formulash p\u00ebrfundimtare, por ju kemi paralajm\u00ebruar edhe para k\u00ebsaj \ud83d\ude42<\/p>\n<p>N\u00eb artikullin e ardhsh\u00ebm, ne p\u00ebrfundimisht do t\u00eb arrijm\u00eb n\u00eb at\u00eb p\u00ebr t\u00eb cilin ishin menduar 2 publikimet e m\u00ebparshme \u2013 algoritmin e optimizimit diskret.<\/p>\n<p><i>Artikulli \u00ebsht\u00eb p\u00ebrgatitur nga<br \/>\nRoman Shangin, programatori i departamentit t\u00eb projekteve,<br \/>\nkompania e Par\u00eb Bit, qyteti Chelyabinsk<\/i><br \/>\n<br \/>Burimi: <a content=\"nofollow\" rel=\"nofollow\" href=\"https:\/\/habr.com\/ru\/post\/463481\/\">habr.com<\/a><\/p>","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"<p>\u0412 \u0441\u0442\u0430\u0442\u044c\u0435 \u043c\u044b \u0440\u0430\u0441\u0441\u043a\u0430\u0436\u0435\u043c, \u043a\u0430\u043a \u0440\u0435\u0448\u0430\u043b\u0438 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0443 \u043d\u0435\u0445\u0432\u0430\u0442\u043a\u0438 \u0441\u0432\u043e\u0431\u043e\u0434\u043d\u044b\u0445 \u044f\u0447\u0435\u0435\u043a \u043d\u0430 \u0441\u043a\u043b\u0430\u0434\u0435 \u0438 \u043e \u0440\u0430\u0437\u0440\u0430\u0431\u043e\u0442\u043a\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430 \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u043e\u0439 \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0438 \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0442\u0430\u043a\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\u0438. \u0420\u0430\u0441\u0441\u043a\u0430\u0436\u0435\u043c \u043e \u0442\u043e\u043c, \u043a\u0430\u043a \u043c\u044b \u00ab\u0441\u0442\u0440\u043e\u0438\u043b\u0438\u00bb \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u043c\u043e\u0434\u0435\u043b\u044c \u0437\u0430\u0434\u0430\u0447\u0438 \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0438, \u0438 \u043e \u0442\u043e\u043c \u0441 \u043a\u0430\u043a\u0438\u043c\u0438 \u0442\u0440\u0443\u0434\u043d\u043e\u0441\u0442\u044f\u043c\u0438 \u043c\u044b \u043d\u0435\u043e\u0436\u0438\u0434\u0430\u043d\u043d\u043e \u0441\u0442\u043e\u043b\u043a\u043d\u0443\u043b\u0438\u0441\u044c \u043f\u0440\u0438 \u043e\u0431\u0440\u0430\u0431\u043e\u0442\u043a\u0435 \u0432\u0445\u043e\u0434\u043d\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445 \u0434\u043b\u044f \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430. \u0415\u0441\u043b\u0438 \u0432\u0430\u043c \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u044b \u043f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438 \u0432 \u0431\u0438\u0437\u043d\u0435\u0441\u0435 \u0438 [&hellip;]<\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":27819,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[702],"tags":[],"class_list":["post-37108","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-novosti-interneta"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.0.1 - aioseo.com -->\n\t<meta name=\"description\" content=\"\u0412 \u0441\u0442\u0430\u0442\u044c\u0435 \u043c\u044b \u0440\u0430\u0441\u0441\u043a\u0430\u0436\u0435\u043c, \u043a\u0430\u043a \u0440\u0435\u0448\u0430\u043b\u0438 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0443 \u043d\u0435\u0445\u0432\u0430\u0442\u043a\u0438 \u0441\u0432\u043e\u0431\u043e\u0434\u043d\u044b\u0445 \u044f\u0447\u0435\u0435\u043a \u043d\u0430 \u0441\u043a\u043b\u0430\u0434\u0435 \u0438 \u043e \u0440\u0430\u0437\u0440\u0430\u0431\u043e\u0442\u043a\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430 \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u043e\u0439 \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0438 \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0442\u0430\u043a\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\u0438. \u0420\u0430\u0441\u0441\u043a\u0430\u0436\u0435\u043c \u043e \u0442\u043e\u043c, \u043a\u0430\u043a \u043c\u044b \u00ab\u0441\u0442\u0440\u043e\u0438\u043b\u0438\u00bb \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u043c\u043e\u0434\u0435\u043b\u044c \u0437\u0430\u0434\u0430\u0447\u0438 \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0438, \u0438 \u043e \u0442\u043e\u043c \u0441 \u043a\u0430\u043a\u0438\u043c\u0438 \u0442\u0440\u0443\u0434\u043d\u043e\u0441\u0442\u044f\u043c\u0438 \u043c\u044b \u043d\u0435\u043e\u0436\u0438\u0434\u0430\u043d\u043d\u043e \u0441\u0442\u043e\u043b\u043a\u043d\u0443\u043b\u0438\u0441\u044c \u043f\u0440\u0438 \u043e\u0431\u0440\u0430\u0431\u043e\u0442\u043a\u0435 \u0432\u0445\u043e\u0434\u043d\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445 \u0434\u043b\u044f \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430. \u0415\u0441\u043b\u0438 \u0432\u0430\u043c \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u044b \u043f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438 \u0432 \u0431\u0438\u0437\u043d\u0435\u0441\u0435 \u0438\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"Yuri Gagarin\"\/>\n\t<link rel=\"canonical\" href=\"https:\/\/prohoster.info\/sq\/blog\/novosti-interneta\/diskretnaya-matematika-dlya-wms-algoritm-szhatiya-tovarov-v-yachejkah-chast-1\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 5.0.0.1\" \/>\n\t\t<meta property=\"og:locale\" content=\"sq_AL\" \/>\n\t\t<meta property=\"og:site_name\" content=\"ProHoster | \u041a\u0443\u043f\u0438\u0442\u044c \u043d\u0430\u0434\u0435\u0436\u043d\u044b\u0439 \u0445\u043e\u0441\u0442\u0438\u043d\u0433 \u0434\u043b\u044f \u0441\u0430\u0439\u0442\u043e\u0432 \u0441 \u0437\u0430\u0449\u0438\u0442\u043e\u0439 \u043e\u0442 DDoS, VPS VDS \u0441\u0435\u0440\u0432\u0435\u0440\u044b\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"\ud83e\udd47\u0414\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u0430\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0434\u043b\u044f WMS: \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u0441\u0436\u0430\u0442\u0438\u044f \u0442\u043e\u0432\u0430\u0440\u043e\u0432 \u0432 \u044f\u0447\u0435\u0439\u043a\u0430\u0445 (\u0447\u0430\u0441\u0442\u044c 1) | ProHoster\" \/>\n\t\t<meta property=\"og:description\" content=\"\u0412 \u0441\u0442\u0430\u0442\u044c\u0435 \u043c\u044b \u0440\u0430\u0441\u0441\u043a\u0430\u0436\u0435\u043c, \u043a\u0430\u043a \u0440\u0435\u0448\u0430\u043b\u0438 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0443 \u043d\u0435\u0445\u0432\u0430\u0442\u043a\u0438 \u0441\u0432\u043e\u0431\u043e\u0434\u043d\u044b\u0445 \u044f\u0447\u0435\u0435\u043a \u043d\u0430 \u0441\u043a\u043b\u0430\u0434\u0435 \u0438 \u043e \u0440\u0430\u0437\u0440\u0430\u0431\u043e\u0442\u043a\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430 \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u043e\u0439 \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0438 \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0442\u0430\u043a\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\u0438. \u0420\u0430\u0441\u0441\u043a\u0430\u0436\u0435\u043c \u043e \u0442\u043e\u043c, \u043a\u0430\u043a \u043c\u044b \u00ab\u0441\u0442\u0440\u043e\u0438\u043b\u0438\u00bb \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u043c\u043e\u0434\u0435\u043b\u044c \u0437\u0430\u0434\u0430\u0447\u0438 \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0438, \u0438 \u043e \u0442\u043e\u043c \u0441 \u043a\u0430\u043a\u0438\u043c\u0438 \u0442\u0440\u0443\u0434\u043d\u043e\u0441\u0442\u044f\u043c\u0438 \u043c\u044b \u043d\u0435\u043e\u0436\u0438\u0434\u0430\u043d\u043d\u043e \u0441\u0442\u043e\u043b\u043a\u043d\u0443\u043b\u0438\u0441\u044c \u043f\u0440\u0438 \u043e\u0431\u0440\u0430\u0431\u043e\u0442\u043a\u0435 \u0432\u0445\u043e\u0434\u043d\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445 \u0434\u043b\u044f \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430. \u0415\u0441\u043b\u0438 \u0432\u0430\u043c \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u044b \u043f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438 \u0432 \u0431\u0438\u0437\u043d\u0435\u0441\u0435 \u0438\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/prohoster.info\/sq\/blog\/novosti-interneta\/diskretnaya-matematika-dlya-wms-algoritm-szhatiya-tovarov-v-yachejkah-chast-1\" \/>\n\t\t<meta property=\"og:image\" content=\"https:\/\/prohoster.info\/wp-content\/uploads\/2021\/11\/logo-350.jpg\" \/>\n\t\t<meta property=\"og:image:secure_url\" content=\"https:\/\/prohoster.info\/wp-content\/uploads\/2021\/11\/logo-350.jpg\" \/>\n\t\t<meta property=\"og:image:width\" content=\"350\" \/>\n\t\t<meta property=\"og:image:height\" content=\"350\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2019-10-31T19:15:47+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2019-10-31T19:15:47+00:00\" \/>\n\t\t<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/prohoster\" \/>\n\t\t<meta property=\"article:author\" content=\"https:\/\/www.facebook.com\/prohoster\" \/>\n\t\t<!-- All in One SEO -->\n\n","aioseo_head_json":{"title":"\ud83e\udd47Matematika diskrete p\u00ebr WMS: algoritmi i kompresimit t\u00eb produkteve n\u00eb vende (pjesa 1) | ProHoster","description":"N\u00eb k\u00ebt\u00eb artikull do t\u00eb flasim se si e zgjidh\u00ebm problemin e munges\u00ebs s\u00eb vendeve t\u00eb lira n\u00eb magazin\u00eb dhe p\u00ebr zhvillimin e nj\u00eb algoritmi t\u00eb optimizimit diskret p\u00ebr zgjidhjen e k\u00ebtij problemi. Do t\u00eb shpjegojm\u00eb se si \u2018nd\u00ebrtuam\u2019 modelin matematikor t\u00eb problemit t\u00eb optimizimit dhe p\u00ebr \u00e7far\u00eb v\u00ebshtir\u00ebsish u ndesh\u00ebm papritur gjat\u00eb p\u00ebrpunimit t\u00eb t\u00eb dh\u00ebnave hyr\u00ebse p\u00ebr algoritmin. N\u00ebse jeni t\u00eb interesuar p\u00ebr aplikimet e matematik\u00ebs n\u00eb biznes dhe","canonical_url":"https:\/\/prohoster.info\/sq\/blog\/novosti-interneta\/diskretnaya-matematika-dlya-wms-algoritm-szhatiya-tovarov-v-yachejkah-chast-1","robots":"max-image-preview:large","keywords":"","webmasterTools":{"miscellaneous":""},"schema":null,"og:locale":"sq_AL","og:site_name":"ProHoster | \u041a\u0443\u043f\u0438\u0442\u044c \u043d\u0430\u0434\u0435\u0436\u043d\u044b\u0439 \u0445\u043e\u0441\u0442\u0438\u043d\u0433 \u0434\u043b\u044f \u0441\u0430\u0439\u0442\u043e\u0432 \u0441 \u0437\u0430\u0449\u0438\u0442\u043e\u0439 \u043e\u0442 DDoS, VPS VDS \u0441\u0435\u0440\u0432\u0435\u0440\u044b","og:type":"article","og:title":"\ud83e\udd47\u0414\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u0430\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0434\u043b\u044f WMS: \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u0441\u0436\u0430\u0442\u0438\u044f \u0442\u043e\u0432\u0430\u0440\u043e\u0432 \u0432 \u044f\u0447\u0435\u0439\u043a\u0430\u0445 (\u0447\u0430\u0441\u0442\u044c 1) | ProHoster","og:description":"\u0412 \u0441\u0442\u0430\u0442\u044c\u0435 \u043c\u044b \u0440\u0430\u0441\u0441\u043a\u0430\u0436\u0435\u043c, \u043a\u0430\u043a \u0440\u0435\u0448\u0430\u043b\u0438 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0443 \u043d\u0435\u0445\u0432\u0430\u0442\u043a\u0438 \u0441\u0432\u043e\u0431\u043e\u0434\u043d\u044b\u0445 \u044f\u0447\u0435\u0435\u043a \u043d\u0430 \u0441\u043a\u043b\u0430\u0434\u0435 \u0438 \u043e \u0440\u0430\u0437\u0440\u0430\u0431\u043e\u0442\u043a\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430 \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u043e\u0439 \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0438 \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0442\u0430\u043a\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\u0438. \u0420\u0430\u0441\u0441\u043a\u0430\u0436\u0435\u043c \u043e \u0442\u043e\u043c, \u043a\u0430\u043a \u043c\u044b \u00ab\u0441\u0442\u0440\u043e\u0438\u043b\u0438\u00bb \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u043c\u043e\u0434\u0435\u043b\u044c \u0437\u0430\u0434\u0430\u0447\u0438 \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0438, \u0438 \u043e \u0442\u043e\u043c \u0441 \u043a\u0430\u043a\u0438\u043c\u0438 \u0442\u0440\u0443\u0434\u043d\u043e\u0441\u0442\u044f\u043c\u0438 \u043c\u044b \u043d\u0435\u043e\u0436\u0438\u0434\u0430\u043d\u043d\u043e \u0441\u0442\u043e\u043b\u043a\u043d\u0443\u043b\u0438\u0441\u044c \u043f\u0440\u0438 \u043e\u0431\u0440\u0430\u0431\u043e\u0442\u043a\u0435 \u0432\u0445\u043e\u0434\u043d\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445 \u0434\u043b\u044f \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430. \u0415\u0441\u043b\u0438 \u0432\u0430\u043c \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u044b \u043f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438 \u0432 \u0431\u0438\u0437\u043d\u0435\u0441\u0435 \u0438","og:url":"https:\/\/prohoster.info\/sq\/blog\/novosti-interneta\/diskretnaya-matematika-dlya-wms-algoritm-szhatiya-tovarov-v-yachejkah-chast-1","og:image":"https:\/\/prohoster.info\/wp-content\/uploads\/2021\/11\/logo-350.jpg","og:image:secure_url":"https:\/\/prohoster.info\/wp-content\/uploads\/2021\/11\/logo-350.jpg","og:image:width":350,"og:image:height":350,"article:published_time":"2019-10-31T19:15:47+00:00","article:modified_time":"2019-10-31T19:15:47+00:00","article:publisher":"https:\/\/www.facebook.com\/prohoster","article:author":"https:\/\/www.facebook.com\/prohoster"},"aioseo_meta_data":{"post_id":"37108","title":null,"description":null,"keywords":null,"keyphrases":null,"primary_term":null,"canonical_url":null,"og_title":null,"og_description":null,"og_object_type":"default","og_image_type":"default","og_image_url":null,"og_image_width":null,"og_image_height":null,"og_image_custom_url":null,"og_image_custom_fields":null,"og_video":null,"og_custom_url":null,"og_article_section":null,"og_article_tags":null,"twitter_use_og":false,"twitter_card":"default","twitter_image_type":"default","twitter_image_url":null,"twitter_image_custom_url":null,"twitter_image_custom_fields":null,"twitter_title":null,"twitter_description":null,"schema":{"blockGraphs":[],"customGraphs":[],"default":{"data":{"Article":[],"Course":[],"Dataset":[],"FAQPage":[],"Movie":[],"Person":[],"Product":[],"ProductReview":[],"Car":[],"Recipe":[],"Service":[],"SoftwareApplication":[],"WebPage":[]},"graphName":"","isEnabled":true},"graphs":[]},"schema_type":null,"schema_type_options":null,"pillar_content":false,"robots_default":true,"robots_noindex":false,"robots_noarchive":false,"robots_nosnippet":false,"robots_nofollow":false,"robots_noimageindex":false,"robots_noodp":false,"robots_notranslate":false,"robots_max_snippet":null,"robots_max_videopreview":null,"robots_max_imagepreview":"large","priority":null,"frequency":null,"local_seo":null,"seo_analyzer_scan_date":"2026-01-22 06:08:19","breadcrumb_settings":null,"limit_modified_date":false,"reviewed_by":null,"ai":null,"created":"2021-03-01 01:33:24","updated":"2026-01-22 06:08:19","focus_keyword":null,"additional_keywords":null,"truseo_locale":null},"gt_translate_keys":[{"key":"link","format":"url"}],"_links":{"self":[{"href":"https:\/\/prohoster.info\/sq\/wp-json\/wp\/v2\/posts\/37108","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/prohoster.info\/sq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/prohoster.info\/sq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/prohoster.info\/sq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/prohoster.info\/sq\/wp-json\/wp\/v2\/comments?post=37108"}],"version-history":[{"count":0,"href":"https:\/\/prohoster.info\/sq\/wp-json\/wp\/v2\/posts\/37108\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/prohoster.info\/sq\/wp-json\/wp\/v2\/media\/27819"}],"wp:attachment":[{"href":"https:\/\/prohoster.info\/sq\/wp-json\/wp\/v2\/media?parent=37108"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/prohoster.info\/sq\/wp-json\/wp\/v2\/categories?post=37108"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/prohoster.info\/sq\/wp-json\/wp\/v2\/tags?post=37108"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}