Method of finding equilibrium solutions for duopoly of supply chains taking into account the innovation activity of enterprises

Authors

DOI:

https://doi.org/10.15587/1729-4061.2017.103989

Keywords:

industrial enterprises, optimal output plan, supply chain, innovation activity, competition, duopoly, equilibrium solutions by Cournot and Stackelberg

Abstract

We developed and analyzed an economic-mathematical model of duopoly of industrial enterprises-manufacturers with similar nomenclature of products taking into account innovation activity in the field of technologies. It is assumed that enterprises are the links in supply chains, that is, in addition, we examined delivery of the finished goods to the points of consumption. In contrast to the micro-economic theory of the firm, here price competition is investigated at the operational level, that is, when making up plans for the output of products and their delivery to destination points. Innovation activity implies that enterprises invest part of their profit into improvement of the technological process, and, in this case, production expenses of enterprises are the assigned decreasing functions of the investments indicated. In line with the classical theory of the firm, it is considered that the demand function in each point of delivery of finished goods linearly depends on the summary volumes of these goods, delivered from both enterprises. Optimality criterion for supply chains of both plants is the maximum of summary profit, obtained from the sale and delivery of finished products to the points of consumption taking into account expenditures for innovative solutions.

We found equilibrium solutions of duopoly by Cournot and Stackelberg. Numerical illustration of the obtained results is given. The obtained results could be used in the process of joint development of marketing, logistic and innovation strategies of enterprises

Author Biographies

Yulia Kurudzhi, Odessa National Maritime University Mechnikova str., 34, Odessa, Ukraine, 65029

Assistant

Department of Management, Marketing and Logistics

Iryna Moskvichenko, Odessa National Maritime University Mechnikova str., 34, Odessa, Ukraine, 65029

PhD, Associate Professor

Department of Management, Marketing and Logistics

Mykhaylo Postan, Odessa National Maritime University Mechnikova str., 34, Odessa, Ukraine, 65029

Doctor of Economic Sciences, Professor, Head of Department

Department of Management, Marketing, and Logistics

References

  1. Intrilligator, M. (2002). Matematicheskie metody optimizacii i ehkonomicheskaya teoriya. Moscow: Ayris-Press, 553.
  2. Fedulova, L. (2013). Innovacionnoe razvitie: ehvolyuciya vzglyadov i problemy covremennogo ponimaniya. Ekonomicheskaya teoriya, 2, 28–45.
  3. Stepanov, L. V. (2009). Modelirovanie konkurencii v usloviyah rynka. Moscow: Akademiya estestvoznaniya, 114.
  4. Solov'ev, V. P. (2004). Innovacionnaya deyatel'nost' kak sistemnyy process v konkurentnoy ehkonomike (Sinergeticheskie ehffekty innovaciy). Kyiv: Feniks, 560.
  5. Mel'nikov, S. V. (2007). Ravnovesie v transportno-skladskoy logisticheskoy cepochke postavok produkcii. Metody ta zasoby upravlinnya rozvytkom transportnykh system, 12, 40–59.
  6. Mel'nykov, S. V. (2015). Marketynhovi stratehiyi v umovakh informatsiynoyi ta tsinovoyi asymetriyi. Odesa: ONMU, 107.
  7. Zijm, H., Klumpp, M., Klausen, U., Hompel, M. (Eds.) (2016). Logistics and supply chain innovation. Berlin: Springer, 431. doi: 10.1007/978-3-319-22288-2
  8. Sjoerdsma, M., van Weele, A. J. (2015). Managing supplier relationships in a new product development context. Journal of Purchasing and Supply Management, 21 (3), 192–203. doi: 10.1016/j.pursup.2015.05.002
  9. Gualandris, J., Kalchschmidt, M. (2014). Customer pressure and innovativeness: Their role in sustainable supply chain management. Journal of Purchasing and Supply Management, 20 (2), 92–103. doi: 10.1016/j.pursup.2014.03.001
  10. Postan, M. Ya., Savel'eva, I. V. (2014). Method of equilibrium solution finding for port’s operators in competitive environment of oligopoly type. Technology audit and production reserves, 4 (2 (18)), 58–63. doi: 10.15587/2312-8372.2014.26296
  11. Malinovskiy, D. A. (2012). Modelirovanie i analiz duopolii v konkurentnoy srede sistemy "promyshlennoe predpriyatie-distributivnaya set'". Rozvytok metodiv upravlinnya ta hospodaryuvannya na transporti, 40, 163–176.
  12. Postan, M. Ya., Malinovskiy, D. A. (2009). Model' optimal'nogo planirovaniya proizvodstva i dostavki produkcii predpriyatiya po raspredelitel'nym kanalam. Metody ta zasoby upravlinnya rozvytkom transportnykh system, 15, 19–28.
  13. Postan, M. Ya., Moskvichenko, I. M. (2014). Investigetion of methods for production and transportation plans optimization of enterprises taking into account their innovative activity. Technology audit and production reserves, 5 (2 (19)), 26–30. doi: 10.15587/2312-8372.2014.28103
  14. Postan, M. Ya., Moskvichenko, I. M. (2016). Dinamicheskaya model' optimizacii planov proizvodstva i perevozki produkcii s uchetom innovacionnoy deyatel'nosti predpriyatiya. Rozvytok metodiv upravlinnya ta hospodaryuvannya na transporti, 2 (55), 127–138.
  15. Beyko, I. V., Zin'ko, P. M., Nakonechnyy, O. H. (2012). Zadachi, metody ta alhorytmy optymizatsiyi. Kyiv: VPTs «Kyivs'kyi universytet», 800.

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Published

2017-06-30

How to Cite

Kurudzhi, Y., Moskvichenko, I., & Postan, M. (2017). Method of finding equilibrium solutions for duopoly of supply chains taking into account the innovation activity of enterprises. Eastern-European Journal of Enterprise Technologies, 3(4 (87), 25–30. https://doi.org/10.15587/1729-4061.2017.103989

Issue

Vol. 3 No. 4 (87) (2017): Mathematics and Cybernetics - applied aspects

Section

Mathematics and Cybernetics - applied aspects

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Copyright (c) 2017 Yulia Kurudzhi, Iryna Moskvichenko, Mykhaylo Postan

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