{"id":15867,"date":"2023-02-11T22:25:42","date_gmt":"2023-02-11T20:25:42","guid":{"rendered":"http:\/\/journals.khnu.km.ua\/vestnik\/?p=15867"},"modified":"2023-03-24T13:51:29","modified_gmt":"2023-03-24T11:51:29","slug":"metod-modelyuvannya-v-upravlinni-zapasamy-iyerarhichnyh-logistychnyh-system","status":"publish","type":"post","link":"https:\/\/journals.khnu.km.ua\/vestnik\/?p=15867","title":{"rendered":"\u041c\u0435\u0442\u043e\u0434 \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f \u0432 \u0443\u043f\u0440\u0430\u0432\u043b\u0456\u043d\u043d\u0456 \u0437\u0430\u043f\u0430\u0441\u0430\u043c\u0438 \u0456\u0454\u0440\u0430\u0440\u0445\u0456\u0447\u043d\u0438\u0445 \u043b\u043e\u0433\u0456\u0441\u0442\u0438\u0447\u043d\u0438\u0445 \u0441\u0438\u0441\u0442\u0435\u043c"},"content":{"rendered":"

<\/p>\n

\u041c\u0415\u0422\u041e\u0414 \u041c\u041e\u0414\u0415\u041b\u042e\u0412\u0410\u041d\u041d\u042f \u0412 \u0423\u041f\u0420\u0410\u0412\u041b\u0406\u041d\u041d\u0406 \u0417\u0410\u041f\u0410\u0421\u0410\u041c\u0418 \u0406\u0404\u0420\u0410\u0420\u0425\u0406\u0427\u041d\u0418\u0425 \u041b\u041e\u0413\u0406\u0421\u0422\u0418\u0427\u041d\u0418\u0425 \u0421\u0418\u0421\u0422\u0415\u041c<\/p>\n

MODELING METHOD IN STOCK MANAGEMENT HIERARCHICAL LOGISTICS SYSTEMS<\/p>\n

\u0421\u0442\u043e\u0440\u0456\u043d\u043a\u0438: 87-93. \u041d\u043e\u043c\u0435\u0440: \u2116<\/strong>6<\/strong>.\u0442.2, 2022 (315)\u00a0\u00a0<\/strong> \"\"<\/a>
\nDOI:<\/strong> https:\/\/www.doi.org\/10.31891\/2307-5732-2022-315-6(2)-87-93<\/a>
\n\u0410<\/strong>\u0432\u0442\u043e\u0440\u0438<\/strong>: <\/strong>
\n\u041d\u0430\u0434\u0456\u044f \u041f\u041e\u0422\u0410\u041f\u041e\u0412\u0410
\n\u0414\u043e\u043d\u0435\u0446\u044c\u043a\u0438\u0439 \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u0456\u043c\u0435\u043d\u0456 \u0412\u0430\u0441\u0438\u043b\u044f \u0421\u0442\u0443\u0441\u0430
\nhttps:\/\/orcid.org\/0000-0003-4566-4102<\/a>
\ne-mail: potapova.nadin@gmail.com
\n\u041b\u044e\u0434\u043c\u0438\u043b\u0430 \u0412\u041e\u041b\u041e\u041d\u0422\u0418\u0420
\n\u0412\u0456\u043d\u043d\u0438\u0446\u044c\u043a\u0438\u0439 \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0430\u0433\u0440\u0430\u0440\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442
\nhttps:\/\/orcid.org\/0000-0001-9022-9332<\/a>
\ne-mail: milavolontyr@ukr.net
\nNadiia POTAPOVA
\nVasyl\u2019 Stus Donetsk National University
\nLudmila VOLONTYR
\nVinnytsia National Agrarian University<\/p>\n

\u0410\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u043c\u043e\u0432\u043e\u044e \u043e\u0440\u0438\u0433\u0456\u043d\u0430\u043b\u0443<\/strong><\/p>\n

\u0412 \u0440\u043e\u0431\u043e\u0442\u0456 \u0432\u0438\u0441\u0432\u0456\u0442\u043b\u0435\u043d\u043e \u043f\u0438\u0442\u0430\u043d\u043d\u044f \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f \u043c\u0435\u0442\u043e\u0434\u0443 \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f \u0432 \u0443\u043f\u0440\u0430\u0432\u043b\u0456\u043d\u043d\u0456 \u0437\u0430\u043f\u0430\u0441\u0430\u043c\u0438 \u0456\u0454\u0440\u0430\u0440\u0445\u0456\u0447\u043d\u0438\u0445 \u043b\u043e\u0433\u0456\u0441\u0442\u0438\u0447\u043d\u0438\u0445 \u0441\u0438\u0441\u0442\u0435\u043c. \u041e\u0431\u0433\u0440\u0443\u043d\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f \u043f\u0438\u0442\u0430\u043d\u043d\u044f \u043d\u0435\u043e\u0431\u0445\u0456\u0434\u043d\u043e\u0441\u0442\u0456 \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f \u0443\u043f\u0440\u0430\u0432\u043b\u0456\u043d\u043d\u044f \u0437\u0430\u043f\u0430\u0441\u0430\u043c\u0438 \u044f\u043a \u043e\u0434\u043d\u043e\u0433\u043e \u0437 \u043a\u043b\u044e\u0447\u043e\u0432\u0438\u0445 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0456\u0432 \u043b\u043e\u0433\u0456\u0441\u0442\u0438\u043a\u0438 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443. \u0414\u043e\u0432\u0435\u0434\u0435\u043d\u043e, \u0449\u043e \u0456\u0454\u0440\u0430\u0440\u0445\u0456\u0447\u043d\u0430 \u043b\u043e\u0433\u0456\u0441\u0442\u0438\u0447\u043d\u0430 \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u043c\u043e\u0436\u0435 \u0433\u0435\u043d\u0435\u0440\u0443\u0432\u0430\u0442\u0438 \u043f\u043e\u0442\u043e\u043a\u043e\u0432\u0456 \u043f\u0440\u043e\u0446\u0435\u0441\u0438 \u0437\u0430 \u0437\u0430\u043a\u043e\u043d\u043e\u043c \u041f\u0443\u0430\u0441\u0441\u043e\u043d\u0430, \u0449\u043e \u0440\u043e\u0431\u0438\u0442\u044c \u043c\u043e\u0436\u043b\u0438\u0432\u0438\u043c \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0442\u0435\u043e\u0440\u0456\u0457 \u0441\u0438\u0441\u0442\u0435\u043c \u043c\u0430\u0441\u043e\u0432\u043e\u0433\u043e \u043e\u0431\u0441\u043b\u0443\u0433\u043e\u0432\u0443\u0432\u0430\u043d\u043d\u044f \u043f\u0440\u0438 \u0444\u043e\u0440\u043c\u0430\u043b\u0456\u0437\u0430\u0446\u0456\u0457 \u043f\u0440\u043e\u0446\u0435\u0441\u0456\u0432 \u043d\u0430\u0434\u0445\u043e\u0434\u0436\u0435\u043d\u044c \u043f\u043e\u0441\u0442\u0430\u0432\u043e\u043a \u0440\u0435\u0441\u0443\u0440\u0441\u0456\u0432 \u0434\u043b\u044f \u043f\u043e\u043f\u043e\u0432\u043d\u0435\u043d\u043d\u044f \u0437\u0430\u043f\u0430\u0441\u0456\u0432 \u043b\u043e\u0433\u0456\u0441\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u0446\u0435\u043d\u0442\u0440\u0443 \u0437 \u043f\u043e\u0434\u0430\u043b\u044c\u0448\u0438\u043c \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u043e\u043c \u043f\u043e\u0442\u043e\u043a\u0456\u0432 \u043f\u043e \u0444\u0456\u043b\u0456\u044f\u043c \u0440\u0435\u0433\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0442\u0438\u043f\u0443.
\n\u0414\u0430\u043d\u0438\u0439 \u043c\u0435\u0442\u043e\u0434 \u0491\u0440\u0443\u043d\u0442\u0443\u0454\u0442\u044c\u0441\u044f \u043d\u0430 \u043e\u0442\u0440\u0438\u043c\u0430\u043d\u043d\u0456 \u043e\u043f\u0442\u0438\u043c\u0430\u043b\u044c\u043d\u0438\u0445 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a \u0456\u043d\u0442\u0435\u043d\u0441\u0438\u0432\u043d\u043e\u0441\u0442\u0456 \u043f\u043e\u0441\u0442\u0430\u0432\u043e\u043a \u0440\u0435\u0441\u0443\u0440\u0441\u0456\u0432 \u0432 \u0440\u043e\u0437\u0440\u0456\u0437\u0456 \u043a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u043e\u0457 \u043d\u043e\u043c\u0435\u043d\u043a\u043b\u0430\u0442\u0443\u0440\u0438 \u0437\u0430 \u0443\u043c\u043e\u0432\u0438 \u043e\u0431\u043c\u0435\u0436\u0435\u043d\u044c \u043d\u0430 \u043d\u0430\u044f\u0432\u043d\u0456 \u043e\u0431\u0456\u0433\u043e\u0432\u0456 \u043a\u043e\u0448\u0442\u0438 \u0442\u0430 \u0444\u043e\u0440\u043c\u0443\u0432\u0430\u043d\u043d\u044f \u0440\u0435\u0437\u0435\u0440\u0432\u043d\u043e\u0433\u043e \u0437\u0430\u043f\u0430\u0441\u0443 \u0437\u0430\u0431\u0435\u0437\u043f\u0435\u0447\u0435\u043d\u043d\u044f \u0440\u0435\u043c\u043e\u043d\u0442\u043d\u0438\u0445 \u0440\u043e\u0431\u0456\u0442.
\n\u041a\u043b\u044e\u0447\u043e\u0432\u0456 \u0441\u043b\u043e\u0432\u0430:<\/strong> \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f, \u0442\u0435\u043e\u0440\u0456\u044f \u0443\u043f\u0440\u0430\u0432\u043b\u0456\u043d\u043d\u044f \u0437\u0430\u043f\u0430\u0441\u0430\u043c\u0438, \u043e\u043f\u0442\u0438\u043c\u0456\u0437\u0430\u0446\u0456\u044f, \u0442\u0435\u043e\u0440\u0456\u044f \u043c\u0430\u0441\u043e\u0432\u043e\u0433\u043e \u043e\u0431\u0441\u043b\u0443\u0433\u043e\u0432\u0443\u0432\u0430\u043d\u043d\u044f, \u0456\u0454\u0440\u0430\u0440\u0445\u0456\u0447\u043d\u0430 \u043b\u043e\u0433\u0456\u0441\u0442\u0438\u0447\u043d\u0430 \u0441\u0438\u0441\u0442\u0435\u043c\u0430, \u0441\u0435\u0440\u0432\u0456\u0441\u043d\u0456 \u043f\u0443\u043d\u043a\u0442\u0438.<\/p>\n

\u0420\u043e\u0437\u0448\u0438\u0440\u0435\u043d\u0430 \u0430\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u0430\u043d\u0433\u043b\u0456\u0439\u0441\u044c\u043a\u043e\u044e \u00a0\u043c\u043e\u0432\u043e\u044e<\/strong><\/p>\n

The work highlights the issue of using the modeling method in inventory management of hierarchical logistics systems. The issue of the necessity of inventory management modeling as one of the key parameters of distribution logistics is substantiated. It has been proven that the hierarchical logistics system can generate flow processes according to Poisson’s law, which makes it possible to apply the theory of mass service systems in the formalization of the processes of incoming supplies of resources to replenish the stocks of the logistics center with further distribution of flows among regional branches.
\nThis method is based on obtaining optimal characteristics of the intensity of supply of resources in the section of a specific nomenclature, subject to restrictions on available working capital and the formation of a reserve stock for maintenance of repair works.
\nKeywords:<\/strong> modeling, inventory management theory, optimization, mass service theory, hierarchical logistics system, service points.<\/p>\n

\u041b\u0456\u0442\u0435\u0440\u0430\u0442\u0443\u0440\u0430<\/strong><\/p>\n

    \n
  1. \u0413\u0430\u043c\u0430\u043b\u0456\u0439 \u0412.\u0424., \u0420\u043e\u043c\u0430\u043d\u0447\u0443\u043a \u0421.\u0410. \u0412\u0438\u0431\u0456\u0440 \u0431\u0430\u0437\u043e\u0432\u0438\u0445 \u0434\u0430\u043d\u0438\u0445 \u0434\u043b\u044f \u043e\u043f\u0442\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043a\u0435\u0440\u0443\u0432\u0430\u043d\u043d\u044f \u0437\u0430\u043f\u0430\u0441\u0430\u043c\u0438 \u0432 \u0435\u043a\u043e\u043d\u043e\u043c\u0456\u043a\u043e-\u043e\u0440\u0433\u0430\u043d\u0456\u0437\u0430\u0446\u0456\u0439\u043d\u0438\u0445 \u0441\u0438\u0441\u0442\u0435\u043c\u0430\u0445 \u0437 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f\u043c \u0456\u043c\u0456\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f. URL: https:\/\/core.ac.uk\/display\/81587821?utm_source=pdf&utm_medium=banner&utm_campaign=pdf-decoration-v1\/<\/li>\n
  2. \u041b\u0438\u0442\u0432\u0438\u043d\u043e\u0432 \u0410. \u041b. \u0422\u0435\u043e\u0440\u0456\u044f \u0441\u0438\u0441\u0442\u0435\u043c \u043c\u0430\u0441\u043e\u0432\u043e\u0433\u043e \u043e\u0431\u0441\u043b\u0443\u0433\u043e\u0432\u0443\u0432\u0430\u043d\u043d\u044f: \u043d\u0430\u0432\u0447. \u043f\u043e\u0441\u0456\u0431\u043d\u0438\u043a. \u0425\u0430\u0440\u043a\u0456\u0432. \u043d\u0430\u0446. \u0443\u043d-\u0442 \u043c\u0456\u0441\u044c\u043a. \u0433\u043e\u0441\u043f-\u0432\u0430 \u0456\u043c. \u041e. \u041c. \u0411\u0435\u043a\u0435\u0442\u043e\u0432\u0430. \u0425\u0430\u0440\u043a\u0456\u0432: \u0425\u041d\u0423\u041c\u0413 \u0456\u043c. \u041e. \u041c. \u0411\u0435\u043a\u0435\u0442\u043e\u0432\u0430, 2018. 141 \u0441.<\/li>\n
  3. \u041b\u0456\u0441\u043e\u0432\u0441\u044c\u043a\u0430 \u0412.\u041f., \u041c\u0430\u043d\u0436\u043e\u0441 \u0422.\u0412. \u041f\u0440\u043e \u0435\u0444\u0435\u043a\u0442 \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u0456\u0437\u0430\u0446\u0456\u0457 \u0443\u043f\u0440\u0430\u0432\u043b\u0456\u043d\u043d\u044f \u0437\u0430\u043f\u0430\u0441\u0430\u043c\u0438 \u0437\u0430 \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0435\u043d\u043e\u0433\u043e \u043f\u043e\u043f\u0438\u0442\u0443. \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u0435 \u0442\u0430 \u043a\u043e\u043c\u043f’\u044e\u0442\u0435\u0440\u043d\u0435 \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f. \u0421\u0435\u0440\u0456\u044f: \u0424\u0456\u0437\u0438\u043a\u043e-\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u0456 \u043d\u0430\u0443\u043a\u0438: \u0437\u0431. \u043d\u0430\u0443\u043a. \u043f\u0440. \u041a\u0430\u043c\u2019\u044f\u043d\u0435\u0446\u044c-\u041f\u043e\u0434\u0456\u043b\u044c\u0441\u044c\u043a\u0438\u0439: \u041a\u0430\u043c’\u044f\u043d\u0435\u0446\u044c-\u041f\u043e\u0434\u0456\u043b\u044c\u0441\u044c\u043a. \u043d\u0430\u0446. \u0443\u043d-\u0442, 2012. \u0412\u0438\u043f. 7. \u0421. 175-185.<\/li>\n
  4. \u041c\u0430\u0439\u0441\u0442\u0440\u0435\u043d\u043a\u043e \u041e.\u0412., \u0411\u0443\u0431\u0435\u043d\u0449\u0438\u043a\u043e\u0432 \u0420.\u0412., \u041a\u0430\u0440\u0433\u0430 \u041e.\u0412. \u0422\u0435\u043e\u0440\u0456\u044f \u043c\u0430\u0441\u043e\u0432\u043e\u0433\u043e \u043e\u0431\u0441\u043b\u0443\u0433\u043e\u0432\u0443\u0432\u0430\u043d\u043d\u044f \u044f\u043a \u0437\u0430\u0441\u0456\u0431 \u0443\u0434\u043e\u0441\u043a\u043e\u043d\u0430\u043b\u0435\u043d\u043d\u044f \u043c\u043e\u0434\u0435\u043b\u0456 \u043f\u0440\u0438\u0439\u043d\u044f\u0442\u0442\u044f \u0440\u0456\u0448\u0435\u043d\u044c. \u0412\u0456\u0439\u0441\u044c\u043a\u043e\u0432\u043e-\u0442\u0435\u0445\u043d\u0456\u0447\u043d\u0438\u0439 \u0437\u0431\u0456\u0440\u043d\u0438\u043a. 2019.\u211620. \u0421. 14-19.<\/li>\n
  5. \u041f\u0438\u0448\u043d\u043e\u0433\u0440\u0430\u0454\u0432 \u0406.\u041e., \u041e\u043c\u0435\u043b\u044c\u0447\u0435\u043d\u043a\u043e \u042e.\u0412. \u041c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f \u0443\u043f\u0440\u0430\u0432\u043b\u0456\u043d\u043d\u044f \u0437\u0430\u043f\u0430\u0441\u0430\u043c\u0438 \u043f\u0456\u0434\u043f\u0440\u0438\u0454\u043c\u0441\u0442\u0432\u0430 \u0432 \u0443\u043c\u043e\u0432\u0430\u0445 \u043d\u0435\u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043e\u0441\u0442\u0456 \u043f\u043e\u043f\u0438\u0442\u0443. \u0410\u043a\u0442\u0443\u0430\u043b\u044c\u043d\u0456 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0438 \u0435\u043a\u043e\u043d\u043e\u043c\u0456\u043a\u0438 \u0442\u0430 \u0443\u043f\u0440\u0430\u0432\u043b\u0456\u043d\u043d\u044f: \u0437\u0431\u0456\u0440\u043d\u0438\u043a \u043d\u0430\u0443\u043a\u043e\u0432\u0438\u0445 \u043f\u0440\u0430\u0446\u044c \u043c\u043e\u043b\u043e\u0434\u0438\u0445 \u0432\u0447\u0435\u043d\u0438\u0445. 2020. \u0412\u0438\u043f. 14. URL: https:\/\/ela.kpi.ua\/handle\/123456789\/37811\/<\/li>\n
  6. \u0421\u0442\u0435\u0446\u0435\u043d\u043a\u043e \u0406.\u0412. \u041c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f \u0441\u0438\u0441\u0442\u0435\u043c: \u043d\u0430\u0432\u0447. \u043f\u043e\u0441\u0456\u0431. \u041c-\u0432\u043e \u043e\u0441\u0432\u0456\u0442\u0438 \u0456 \u043d\u0430\u0443\u043a\u0438 \u0423\u043a\u0440\u0430\u0457\u043d\u0438, \u0427\u0435\u0440\u043a\u0430\u0441. \u0434\u0435\u0440\u0436. \u0442\u0435\u0445\u043d\u043e\u043b. \u0443\u043d-\u0442. \u0427\u0435\u0440\u043a\u0430\u0441\u0438 : \u0427\u0414\u0422\u0423, 2010. 399 \u0441.<\/li>\n
  7. \u0425\u043e\u043c\u0435\u043d\u043a\u043e \u041c.\u041c. \u0414\u0438\u043d\u0430\u043c\u0456\u0447\u043d\u0430 \u043c\u043e\u0434\u0435\u043b\u044c \u0443\u043f\u0440\u0430\u0432\u043b\u0456\u043d\u043d\u044f \u0437\u0430\u043f\u0430\u0441\u0430\u043c\u0438 \u0437 \u043e\u0431\u0491\u0440\u0443\u043d\u0442\u0443\u0432\u0430\u043d\u043d\u044f\u043c \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u0438 \u043f\u0430\u0440\u0442\u0456\u0439 \u043f\u0440\u0438\u0441\u0430\u0434\u043e\u043a. \u0412\u0456\u0441\u043d\u0438\u043a \u0425\u043c\u0435\u043b\u044c\u043d\u0438\u0446\u044c\u043a\u043e\u0433\u043e \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442\u0443. 2011. \u2116 3. T. 3. \u0421. 12-18.<\/li>\n
  8. \u0426\u0435\u0441\u043b\u0456\u0432 \u041e.\u0412., \u0413\u0440\u0438\u0448\u043a\u043e \u041c.\u041f. \u0421\u0442\u043e\u0445\u0430\u0441\u0442\u0438\u0447\u043di \u043c\u043e\u0434\u0435\u043b\u0456 \u0443\u043f\u0440\u0430\u0432\u043b\u0456\u043d\u043d\u044f \u0437\u0430\u043f\u0430\u0441\u0430\u043c\u0438 \u043f\u043e\u0441\u0442\u0430\u0432\u043e\u043a \u0442\u043e\u0432\u0430\u0440\u0443. \u0415\u043a\u043e\u043d\u043e\u043c\u0456\u0447\u043d\u0438\u0439 \u0432\u0456\u0441\u043d\u0438\u043a \u041d\u0422\u0423\u0423 \u00ab\u041a\u041f\u0406\u00bb, 2019. \u0421. 451 \u2013 459.<\/li>\n
  9. Agboola S.O., Ojeniyi, A. (2018) The Chapman-Kolmogorov equations of solving weather condition in markov chain. URL: https:\/\/www.researchgate.net\/publication\/ 330535754_the_Chapman_Kolmogorov_equations_of_solving_weather_condition_in_markov_chain.<\/li>\n
  10. Chican, \u0410. Inventory models \/Ed. by A. Chican. Akademiaikiado, Budapest, 1990. 419 pp.<\/li>\n
  11. Mills, Edwin S. \u201cThe Theory of Inventory Decisions.\u201d\u00a0Econometrica, vol. 25, no. 2, 1957, pp. 222-238.\u00a0JSTOR<\/em>, https:\/\/doi.org\/10.2307\/1910251. Accessed 18 Oct. 2022.<\/li>\n
  12. Dynkin B. (1989) Kolmogorov and the Theory of Markov Processes. The Annals of Probability. Vol. 17, No. 3 (Jul., 1989), pp. 822-832. https:\/\/www.jstor.org\/stable\/2244385.<\/li>\n
  13. Nicholas W. Barendregt,\u00a0Kre\u0161imir Josi\u0107,\u00a0and\u00a0Zachary P. Kilpatrick Analyzing dynamic decision-making models using Chapman-Kolmogorov equations. J Comput Neurosci. 2019 Dec; 47(2-3): 205-222. doi:\u00a010.1007\/s10827-019-00733-5.<\/li>\n
  14. Haken, H., Mayer-Kress, G. (1981) Chapman-Kolmogorov equation and path integrals for discrete chaos in presence of noise.\u00a0Z. Physik B – Condensed Matter\u00a043, 185\u2013187. https:\/\/doi.org\/10.1007\/bf01293609\/<\/li>\n
  15. Hamdy A. Taha. Operations Research An Introduction, seventh edition. Pearson Education, 2017. 848 pp.<\/li>\n
  16. Wagner Harvey M. Principles of operations research: with applications to managerial decisions. Englewood Cliffs, N.J.: Prentice-Hall, 1975. 1039 pp.<\/li>\n<\/ol>\n

    References<\/strong><\/p>\n

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    2. Lytvynov A. L. Teoriia system masovoho obsluhovuvannia: navch. posibnyk. Kharkiv. nats. un-t misk. hosp-va im. O. M. Beketova. Kharkiv: KhNUMH im. O. M. Beketova, 2018. 141 s.<\/li>\n
    3. Lisovska V.P., Manzhos T.V. Pro efekt tsentralizatsii upravlinnia zapasamy za normalno rozpodilenoho popytu. Matematychne ta kompiuterne modeliuvannia. Seriia: Fizyko-matematychni nauky: zb. nauk. pr. Kamianets-Podilskyi: Kamianets-Podilsk. nats. un-t, 2012. Vyp. 7. S. 175-185.<\/li>\n
    4. Maistrenko O.V., Bubenshchykov R.V., Karha O.V. Teoriia masovoho obsluhovuvannia yak zasib udoskonalennia modeli pryiniattia rishen. Viiskovo-tekhnichnyi zbirnyk. 2019. \u211620. S. 14-19.<\/li>\n
    5. Pyshnohraiev I.O., Omelchenko Yu.V. Modeliuvannia upravlinnia zapasamy pidpryiemstva v umovakh nevyznachenosti popytu. Aktualni problemy ekonomiky ta upravlinnia: zbirnyk naukovykh prats molodykh vchenykh. 2020. Vyp. 14. URL: https:\/\/ela.kpi.ua\/handle\/123456789\/37811\/<\/li>\n
    6. Stetsenko I.V. Modeliuvannia system: navch. posib. M-vo osvity i nauky Ukrainy, Cherkas. derzh. tekhnol. un-t. Cherkasy: ChDTU, 2010. 399 s.<\/li>\n
    7. Khomenko M.M. Dynamichna model upravlinnia zapasamy z obgruntuvanniam velychyny partii prysadok. Visnyk Khmelnytskoho natsionalnoho universytetu. 2011. \u2116 3. T. 3. S. 12-18.<\/li>\n
    8. Tsesliv O.V., Hryshko M.P. Stokhastychni modeli upravlinnia zapasamy postavok tovaru. Ekonomichnyi visnyk NTUU \u00abKPI\u00bb, 2019. S. 451 \u2013 459.<\/li>\n
    9. Agboola S.O., Ojeniyi, A. (2018) The Chapman-Kolmogorov equations of solving weather condition in markov chain. URL: https:\/\/www.researchgate.net\/publication\/ 330535754_the_Chapman_Kolmogorov_equations_of_solving_weather_condition_in_markov_chain.<\/li>\n
    10. Chican, \u0410. Inventory models \/Ed. by A. Chican. Akademiaikiado, Budapest, 1990. 419 pp.<\/li>\n
    11. Mills, Edwin S. \u201cThe Theory of Inventory Decisions.\u201d\u00a0Econometrica, vol. 25, no. 2, 1957, pp. 222-238.\u00a0JSTOR, https:\/\/doi.org\/10.2307\/1910251. Accessed 18 Oct. 2022.<\/li>\n
    12. Dynkin B. (1989) Kolmogorov and the Theory of Markov Processes. The Annals of Probability. Vol. 17, No. 3 (Jul., 1989), pp. 822-832. https:\/\/www.jstor.org\/stable\/2244385.<\/li>\n
    13. Nicholas W. Barendregt,\u00a0Kre\u0161imir Josi\u0107,\u00a0and\u00a0Zachary P. Kilpatrick Analyzing dynamic decision-making models using Chapman-Kolmogorov equations. J Comput Neurosci. 2019 Dec; 47(2-3): 205-222. doi:\u00a010.1007\/s10827-019-00733-5.<\/li>\n
    14. Haken, H., Mayer-Kress, G. (1981) Chapman-Kolmogorov equation and path integrals for discrete chaos in presence of noise.\u00a0Z. Physik B – Condensed Matter\u00a043, 185\u2013187. https:\/\/doi.org\/10.1007\/bf01293609\/<\/li>\n
    15. Hamdy A. Taha. Operations Research An Introduction, seventh edition. Pearson Education, 2017. 848 pp.<\/li>\n
    16. Wagner Harvey M. Principles of operations research: with applications to managerial decisions. Englewood Cliffs, N.J.: Prentice-Hall, 1975. 1039 pp.<\/li>\n<\/ol>\n

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