Building a model of supply chains duopoly taking into account the marketing and innovative activities of manufacturing enterprises
Authors/Creators
- 1. Odessa National Maritime University
Description
This paper reports the construction and analysis of the economic and mathematical model of the duopoly of supply chains, based on the model of optimization of plans for the release and delivery of multi-range articles, taking into consideration the marketing and innovative activities of industrial enterprises. Demand for goods is supposed to be an increasing function of advertising costs. In this case, marketing investments affect only the base selling prices of articles and do not affect competitive discounts. The explicit form of this dependence can be established as a result of marketing research. It is also assumed that investments in innovative technological projects could reduce industrial costs; production costs are decreasing functions of the size of the investment. It is believed that the demand function is linearly dependent on the total volume of output produced. The criterion of optimality for supply chains is the maximum of the total profit received from the sale and delivery of finished products to points of consumption, taking into consideration the costs of production and advertising. As a result of this study, equilibrium solutions of the duopoly according to Cournot and Stackelberg were found. That has made it possible to determine the optimal values of product volumes for output, the size of investment investments, as well as product advertising costs. The model helped study the impact of investment deductions and advertising costs on the acquisition of competitive advantages by manufacturing enterprises. A numerical illustration of the results obtained is given. The proposed approach could be used to build and analyze dynamic optimization models taking into consideration the innovation and marketing activities of enterprises, as well as to study other market structures
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Building a model of supply chains duopoly taking into account the marketing and innovative activities of manufacturing enterprises.pdf
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References
- Ji, Y., Li, M., Qu, S. (2018). Multi-objective linear programming games and applications in supply chain competition. Future Generation Computer Systems, 86, 591–597. doi: https://doi.org/10.1016/j.future.2018.04.041
- Li, S., Lai, M., Xue, W. (2018). Bundling Strategy and Channel Competition in Supply Chains with Complementary Products. Procedia Computer Science, 126, 1730–1739. doi: https://doi.org/10.1016/j.procs.2018.08.104
- Mahmoodi, A. (2020). Stackelberg–Nash equilibrium of pricing and inventory decisions in duopoly supply chains using a nested evolutionary algorithm. Applied Soft Computing, 86, 105922. doi: https://doi.org/10.1016/j.asoc.2019.105922
- 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: https://doi.org/10.1016/j.pursup.2015.05.002
- 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: https://doi.org/10.1016/j.pursup.2014.03.001
- Krykavskyy, Y., Yakymyshyn, L. (2018). Complexity of marketing and logistics strategies in the supply chain of fast moving consumer goods. Marketing and digital technologies, 2 (1), 21–32. doi: https://doi.org/10.15276/mdt.2.1.2018.2
- Klepikova, O. (2020). On influence of supply firm's market policy on optimization of its ordering policy within supply chain. Herald of Khmelnytskyi National University, 288 (6), 130–133. doi: https://doi.org/10.31891/2307-5740-2020-288-6-20
- Peng, Y., Lu, Q., Xiao, Y., Wu, X. (2019). Complex dynamics analysis for a remanufacturing duopoly model with nonlinear cost. Physica A: Statistical Mechanics and Its Applications, 514, 658–670. doi: https://doi.org/10.1016/j.physa.2018.09.143
- Sinha, A., Malo, P., Frantsev, A., Deb, K. (2014). Finding optimal strategies in a multi-period multi-leader–follower Stackelberg game using an evolutionary algorithm. Computers & Operations Research, 41, 374–385. doi: https://doi.org/10.1016/j.cor.2013.07.010
- Yue, D., You, F. (2017). Stackelberg-game-based modeling and optimization for supply chain design and operations: A mixed integer bilevel programming framework. Computers & Chemical Engineering, 102, 81–95. doi: https://doi.org/10.1016/j.compchemeng.2016.07.026
- Zijm, H., Klumpp, M., Clausen, U., Hompel, M. ten (Eds.) (2016). Logistics and Supply Chain Innovation. Lecture Notes in Logistics. Springer, 431. doi: https://doi.org/10.1007/978-3-319-22288-2
- Malinovskiy, D. A., Postan, M. Ya. (2012). Ob odnoy veroyatnostnoy modeli funktsionirovaniya portovo-promyshlennogo kompleksa. Metody ta zasoby upravlinnia rozvytkom transportnykh system, 19 (1), 41–54. Available at: https://www.researchgate.net/publication/317021619_Ob_odnoj_veroatnostnoj_modeli_funkcionirovania_portovo-promyslennogo_kompleksa
- 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. doi: https://doi.org/10.15587/1729-4061.2017.103989
- Postan, M., Kurudzhy, Y. (2021). Model of optimal of manufacturing and delivering of final product to consumers taking into account costfor marketing. Development of Management and Entrepreneurship Methods on Transport, 2 (75), 65–76. doi: https://doi.org/10.31375/2226-1915-2021-2-65-76
- Postan, M. Ya., Malynovs'kiy, D. A. (2009). Model of Optimal Planning of Commodities Production and Their Delivery to Consumers by Distribution Channels. Metody ta zasoby upravlinnia rozvytkom transportnykh system, 15, 19–28. Available at: https://www.researchgate.net/publication/318508334_Model_optimalnogo_planirovania_proizvodstva_i_dostavki_produkcii_predpriatia_po_raspredelitelnym_kanalam
- Struchenkov, V. I. (2016). Prikladnye zadachi optimizatsii. Moscow: Solon-Press, 314.