{"id":681,"date":"2021-01-14T22:05:08","date_gmt":"2021-01-14T20:05:08","guid":{"rendered":"http:\/\/journals.khnu.km.ua\/vestnik\/?p=681"},"modified":"2021-01-14T22:05:29","modified_gmt":"2021-01-14T20:05:29","slug":"%d0%bc%d0%b5%d1%82%d0%be%d0%b4-%d0%b7%d0%bd%d0%b0%d1%85%d0%be%d0%b4%d0%b6%d0%b5%d0%bd%d0%bd%d1%8f-%d0%be%d0%bf%d1%82%d0%b8%d0%bc%d0%b0%d0%bb%d1%8c%d0%bd%d0%be%d1%97-%d1%80%d1%96%d0%b2%d0%bd%d0%be","status":"publish","type":"post","link":"https:\/\/journals.khnu.km.ua\/vestnik\/?p=681","title":{"rendered":"\u041c\u0435\u0442\u043e\u0434 \u0437\u043d\u0430\u0445\u043e\u0434\u0436\u0435\u043d\u043d\u044f \u043e\u043f\u0442\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0457 \u0440\u0456\u0432\u043d\u043e\u0432\u0430\u0433\u0438 \u043c\u0456\u0436 \u043a\u043e\u043d\u043a\u0443\u0440\u0443\u044e\u0447\u0438\u043c\u0438 \u043b\u0430\u043d\u0446\u044e\u0433\u0430\u043c\u0438 \u043f\u043e\u0441\u0442\u0430\u0432\u043e\u043a \u0437 \u0443\u0440\u0430\u0445\u0443\u0432\u0430\u043d\u043d\u044f\u043c \u0456\u043d\u043d\u043e\u0432\u0430\u0446\u0456\u0439\u043d\u043e\u0457 \u0434\u0456\u044f\u043b\u044c\u043d\u043e\u0441\u0442\u0456"},"content":{"rendered":"<p><!--more--><\/p>\n<p style=\"text-align: center;\">\u041c\u0415\u0422\u041e\u0414 \u0417\u041d\u0410\u0425\u041e\u0414\u0416\u0415\u041d\u041d\u042f \u041e\u041f\u0422\u0418\u041c\u0410\u041b\u042c\u041d\u041e\u0407 \u0420\u0406\u0412\u041d\u041e\u0412\u0410\u0413\u0418 \u041c\u0406\u0416 \u041a\u041e\u041d\u041a\u0423\u0420\u0423\u042e\u0427\u0418\u041c\u0418 \u041b\u0410\u041d\u0426\u042e\u0413\u0410\u041c\u0418 \u041f\u041e\u0421\u0422\u0410\u0412\u041e\u041a \u0417 \u0423\u0420\u0410\u0425\u0423\u0412\u0410\u041d\u041d\u042f\u041c \u0406\u041d\u041d\u041e\u0412\u0410\u0426\u0406\u0419\u041d\u041e\u0407 \u0414\u0406\u042f\u041b\u042c\u041d\u041e\u0421\u0422\u0406<\/p>\n<p style=\"text-align: center;\">METHOD FOR OPTIMAL EQUILIBRIUM SOLUTION FINDING BETWEEN SUPPLY CHAINS TAKING INTO ACCOUNT INNOVATIVE ACTIVITY<\/p>\n<p><a href=\"http:\/\/journals.khnu.km.ua\/vestnik\/wp-content\/uploads\/2021\/01\/13.pdf\"><img src=\"http:\/\/journals.khnu.km.ua\/vestnik\/wp-content\/uploads\/2021\/01\/pdf.png\"><\/a>   <strong>\u0421\u0442\u043e\u0440\u0456\u043d\u043a\u0438 51-56. \u041d\u043e\u043c\u0435\u0440 \u21161, 2020 (261)<\/strong><\/p>\n<p><strong>\u0410\u0432\u0442\u043e\u0440\u0438:<\/strong><br \/>\n\u041a\u0423\u0420\u0423\u0414\u0416\u0418 \u042e. \u0412.<br \/>\n\u041e\u0434\u0435\u0441\u044c\u043a\u0438\u0439 \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u043c\u043e\u0440\u0441\u044c\u043a\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442<br \/>\nKURUDZHI Yu.<br \/>\nOdesa National Maritime University<\/p>\n<p><strong>DOI:<\/strong> <a href=\"https:\/\/www.doi.org\/10.31891\/2307-5740-2020-278-1-11\">https:\/\/www.doi.org\/10.31891\/2307-5740-2020-278-1-11<\/a><br \/>\n<strong>\u041d\u0430\u0434\u0456\u0439\u0448\u043b\u0430 \/ Paper received:<\/strong> 27.02.2020<br \/>\n<strong>\u041d\u0430\u0434\u0440\u0443\u043a\u043e\u0432\u0430\u043d\u0430 \/ Paper Printed:<\/strong> 11.02.2020<\/p>\n<p style=\"text-align: center;\"><strong>\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<p>\u0423 \u0441\u0442\u0430\u0442\u0442\u0456 \u0434\u043e\u0441\u043b\u0456\u0434\u0436\u0443\u0454\u0442\u044c\u0441\u044f \u043c\u043e\u0436\u043b\u0438\u0432\u0456\u0441\u0442\u044c \u0456\u0441\u043d\u0443\u0432\u0430\u043d\u043d\u044f \u0456 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0440\u0456\u0432\u043d\u043e\u0432\u0430\u0436\u043d\u043e\u0433\u043e \u0440\u0456\u0448\u0435\u043d\u043d\u044f \u0434\u0443\u043e\u043f\u043e\u043b\u0456\u0457 \u0437\u0430 \u0440\u0430\u0445\u0443\u043d\u043e\u043a \u0432\u0438\u0434\u0456\u043b\u0435\u043d\u043d\u044f \u0441\u043f\u0435\u0446\u0456\u0430\u043b\u044c\u043d\u0438\u0445 \u0456\u043d\u0432\u0435\u0441\u0442\u0438\u0446\u0456\u0439 \u043f\u0456\u0434\u043f\u0440\u0438\u0454\u043c\u0441\u0442\u0432\u0430\u043c\u0438, \u044f\u043a\u0456 \u0431\u0435\u0440\u0443\u0442\u044c \u0443\u0447\u0430\u0441\u0442\u044c \u0432 \u043b\u0430\u043d\u0446\u044e\u0433\u0430\u0445 \u043f\u043e\u0441\u0442\u0430\u0432\u043e\u043a, \u0441\u043f\u0440\u044f\u043c\u043e\u0432\u0430\u043d\u0438\u0445 \u043d\u0430 \u0432\u043f\u0440\u043e\u0432\u0430\u0434\u0436\u0435\u043d\u043d\u044f \u0456\u043d\u043d\u043e\u0432\u0430\u0446\u0456\u0439\u043d\u0438\u0445 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0439. \u041e\u0431\u0491\u0440\u0443\u043d\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f \u0434\u043e\u0446\u0456\u043b\u044c\u043d\u0456\u0441\u0442\u044c \u0456\u043d\u0432\u0435\u0441\u0442\u0443\u0432\u0430\u043d\u043d\u044f \u0456 \u0434\u043e\u0441\u043b\u0456\u0434\u0436\u0443\u0454\u0442\u044c\u0441\u044f \u0432\u043f\u043b\u0438\u0432 \u0456\u043d\u043d\u043e\u0432\u0430\u0446\u0456\u0439\u043d\u043e\u0457 \u043f\u043e\u043b\u0456\u0442\u0438\u043a\u0438 \u043f\u0456\u0434\u043f\u0440\u0438\u0454\u043c\u0441\u0442\u0432, \u044f\u043a\u0456 \u0432\u0445\u043e\u0434\u044f\u0442\u044c \u0432 \u043a\u043e\u043d\u043a\u0443\u0440\u0443\u044e\u0447\u0456 \u043b\u0430\u043d\u0446\u044e\u0433\u0438 \u043f\u043e\u0441\u0442\u0430\u0432\u043e\u043a, \u043d\u0430 \u043c\u043e\u0436\u043b\u0438\u0432\u0456\u0441\u0442\u044c \u0437\u043d\u0430\u0445\u043e\u0434\u0436\u0435\u043d\u043d\u044f \u0440\u0456\u0432\u043d\u043e\u0432\u0430\u0436\u043d\u0438\u0445 \u0440\u0456\u0448\u0435\u043d\u044c \u0432 \u043e\u043b\u0456\u0433\u043e\u043f\u043e\u043b\u0456\u0457. \u0414\u043b\u044f \u043e\u0431\u043b\u0456\u043a\u0443 \u0456\u043d\u043d\u043e\u0432\u0430\u0446\u0456\u0439\u043d\u043e\u0457 \u0430\u043a\u0442\u0438\u0432\u043d\u043e\u0441\u0442\u0456 \u0432\u0432\u0430\u0436\u0430\u0454\u0442\u044c\u0441\u044f, \u0449\u043e \u0432\u0438\u0440\u043e\u0431\u043d\u0438\u0447\u0456 \u0432\u0438\u0442\u0440\u0430\u0442\u0438 \u043f\u0456\u0434\u043f\u0440\u0438\u0454\u043c\u0441\u0442\u0432 \u0437\u043d\u0430\u0445\u043e\u0434\u044f\u0442\u044c\u0441\u044f \u0432 \u0437\u0432\u043e\u0440\u043e\u0442\u043d\u0456\u0439 \u0437\u0430\u043b\u0435\u0436\u043d\u043e\u0441\u0442\u0456 \u043f\u0435\u0432\u043d\u043e\u0433\u043e \u0432\u0438\u0434\u0443 \u0432\u0456\u0434 \u0440\u043e\u0437\u043c\u0456\u0440\u0443 \u0456\u043d\u043d\u043e\u0432\u0430\u0446\u0456\u0439\u043d\u0438\u0445 \u0456\u043d\u0432\u0435\u0441\u0442\u0438\u0446\u0456\u0439. \u0417\u043d\u0430\u0439\u0434\u0435\u043d\u043e \u0440\u0456\u0432\u043d\u043e\u0432\u0430\u0436\u043d\u0456 \u0440\u0456\u0448\u0435\u043d\u043d\u044f \u0437\u0430 \u041a\u0443\u0440\u043d\u043e \u0456 \u0428\u0442\u0430\u043a\u0435\u043b\u044c\u0431\u0435\u0440\u0433\u043e\u043c \u0434\u0443\u043e\u043f\u043e\u043b\u0456\u0457, \u0430 \u0442\u0430\u043a\u043e\u0436 \u043e\u043f\u0442\u0438\u043c\u0430\u043b\u044c\u043d\u0456 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0432\u0456\u0434\u043f\u043e\u0432\u0456\u0434\u043d\u0438\u0445 \u0456\u043d\u0432\u0435\u0441\u0442\u0438\u0446\u0456\u0439, \u044f\u043a\u0456 \u043c\u0430\u043a\u0441\u0438\u043c\u0456\u0437\u0443\u044e\u0442\u044c \u043f\u0440\u0438\u0431\u0443\u0442\u043a\u0438 \u043f\u0456\u0434\u043f\u0440\u0438\u0454\u043c\u0441\u0442\u0432, \u0449\u043e \u0432\u0445\u043e\u0434\u044f\u0442\u044c \u0432 \u043b\u0430\u043d\u0446\u044e\u0433\u0438 \u043f\u043e\u0441\u0442\u0430\u0432\u043e\u043a.<\/p>\n<p style=\"text-align: center;\"><strong>\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 \u043c\u043e\u0432\u043e\u044e.<\/strong><\/p>\n<p>The conditions of existences and determination of equilibrium solution of duopoly is investigated taking into account additional investments of a firms entering the supply chains. It is assumed that above investments are aimed at innovative technologies implementation. The aim of this article is investigation on the basis of firm theory the conditions of innovative policy effectiveness and finding the conditions of equilibrium solution of duopoly existence. In line with the classical theory of the firm, it is considered that the demand function linearly depends on the summary volumes of these goods, delivered from both enterprises. For accounting of innovative activity it is assumed that industrial cost are in reverse dependence on size of innovative investments. It is supposed that above investments result the reduction of production costs of enterprises. The expediency of investments is based and influence of innovative policy of enterprises entering the supply chains on possibility of oligopoly equilibrium solutions existence has been substantiated. Based on the developed model of duopoly, we identified optimal plans for production by each of the enterprises in the duopoly and optimal levels of investment into innovative technologies, maximizing the profits of enterprises entering the supply chains. They define equilibrium solutions according to the Cournot (when enterprises decide to release products simultaneously and independently of each other) and according to the Stackelberg (when one manufacturer believes that the competitor will behave as a Cournot duopolist). Numerical illustration of the obtained results is given. It is shown on some examples that above mentioned investments lied up to increasing of profits of these enterprises. In the future, it is possible to perform different generalizations of results, given in the present article, for example, to study oligopolies for dynamic models of optimization of production plans and innovative activity of enterprises-manufacturers. The obtained results could be used in the process of joint development of marketing, logistic and innovation strategies of enterprises.<\/p>\n<p><strong>\u041a\u043b\u044e\u0447\u043e\u0432\u0456 \u0441\u043b\u043e\u0432\u0430:<\/strong>\u00a0 \u043b\u0430\u043d\u0446\u044e\u0433\u0438 \u043f\u043e\u0441\u0442\u0430\u0432\u043e\u043a, \u0456\u043d\u043d\u043e\u0432\u0430\u0446\u0456\u0439\u043d\u0430 \u0430\u043a\u0442\u0438\u0432\u043d\u0456\u0441\u0442\u044c, \u0456\u043d\u0432\u0435\u0441\u0442\u0438\u0446\u0456\u0457 \u043a\u043e\u043d\u043a\u0443\u0440\u0435\u043d\u0442\u043d\u0456 \u043f\u0435\u0440\u0435\u0432\u0430\u0433\u0438, \u0434\u0443\u043e\u043f\u043e\u043b\u0456\u044f, \u0440\u0456\u0432\u043d\u043e\u0432\u0430\u0433\u0438 \u0437\u0430 \u041a\u0443\u0440\u043d\u043e \u0442\u0430 \u0428\u0442\u0430\u043a\u0435\u043b\u044c\u0431\u0435\u0440\u0433\u043e\u043c.<\/p>\n<p style=\"text-align: center;\"><strong>References.<\/strong><\/p>\n<p>1. Fedulova L. Innovacionnoe razvitie: evolyuciya vzglyadov i problemy sovremennogo ponimaniya \/ L. Fedulova \/\/Ekonomicheskaya teoriya. \u2013 2013. \u2013 \u2116 2. \u2013 S. 28\u201345.<br \/>\n2. Malinovskij D. A. Modelirovanie i analiz duopolii v konkurentnoj srede sistemy \u00abpromyshlennoe predpriyatie &#8211; distributivnaya set\u00bb \/D. A. Malinovskij \/\/ Rozvitok metodiv upravlinnya ta gospodaryuvannya na transporti : zb. nauk. prac. \u2013 2012. \u2013 Vip. 40. \u2013 S. 163\u2013176.<br \/>\n3. Postan M. Ya. O nekotoryh zadachah, svyazannyh s ispolzovaniem metodov issledovaniya operacij v teorii cenovoj konkurencii \/M. Ya. Postan \/\/ Materiali Mizhnarodnoyi naukovo-praktichnoyi konferenciyi, prisvyachenoyi 20-richchyu ekonomiko-pravovogo fakultetu Odeskogo nacionalnogo universitetu im. I.I. Mechnikova. Odesa 14\u201315 veresnya 2018 r. \u2013 S. 169\u2013173.<br \/>\n4. Kurudzhi Yu., Moskvichenko I., Postan M. Method of finding equilibrium solutions for duopoly of supply chains taking into account the innovative activity of enterprises. Eastern-European Journal of Enterprise Technologies. 2017. \u2116 3\/4(87). P. 25\u221230.<br \/>\n5. Brandimarte P., Zotteri G. Introduction to distribution logistics. Wiley, NY, 2007. 253 r.<br \/>\n6. Postan M. Ya., Morozova I. V., Dashkovskiy S. N. Dynamic Optimization Model for Planning of Integrated Logistical System Functioning. Proc. of 3d Intl. Conf. \u201cDynamics in Logistics\u201d LDIC2012. Berlin: Springer, 2014. P. 291\u2013300.<br \/>\n7. Intriligator M. Matematicheskie metody optimizacii i ekonomicheskaya teoriya \/ M. Intriligator. \u2013 M. : Ajris-Press, 2002. \u2013 576 s.<br \/>\n8. Voievudskyi Ye.M. Konkurentsiia ta intehratsiia u modeli lohistychnoi systemy \/ Ye. M. Voievudskyi, A. M. Kholodenko \/\/ Metody ta zasoby upravlinnia rozvytkom transportnykh system : zb. nauk. prats. 2003. \u2013 Vyp. 5. \u2013 S. 5\u201334.<br \/>\n9. Holodenko A. M. Vertikalnaya integraciya v logisticheskoj cepochke postavok \/ A. M. Holodenko, V. A. Sudarev \/\/ Metodi ta zasobi upravlinnya rozvitkom transportnih sistem : zb. nauk. prac. \u2013 2004. \u2013 Vip. 7. \u2013 S. 208\u2013221.<br \/>\n10. Porter M. Konkurentnaya strategiya \/ M. Porter. \u2013 Izd. 3-e. \u2013 M. : Alpina Biznes Buks, 2007. \u2013 453 s.<\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[7],"tags":[],"_links":{"self":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/681"}],"collection":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=681"}],"version-history":[{"count":2,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/681\/revisions"}],"predecessor-version":[{"id":683,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/681\/revisions\/683"}],"wp:attachment":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=681"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=681"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=681"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}