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A dynamic equilibrium model of the oligopolistic closed-loop supply chain network under uncertain and time-dependent demands

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  • Chan, Chi Kin
  • Zhou, Yan
  • Wong, Kar Hung

Abstract

In this paper, we develop a dynamic equilibrium model of oligopolistic closed-loop supply chain network to account for the seasonality of demand. In this model, demands and returns are uncertain and time-dependent. The dynamic Cournot-Nash equilibrium of the oligopolistic network is constructed by evolutionary variational inequality and projected dynamical systems. The existence and monotonicity results are established and a computational method is developed for finding the dynamic Cournot-Nash equilibrium. Numerical examples are solved to illustrate the performance of our model. The results show that the firms’ optimal production and transaction quantities are strongly affected by the time-dependent demands.

Suggested Citation

  • Chan, Chi Kin & Zhou, Yan & Wong, Kar Hung, 2018. "A dynamic equilibrium model of the oligopolistic closed-loop supply chain network under uncertain and time-dependent demands," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 325-354.
    • Handle: RePEc:eee:transe:v:118:y:2018:i:c:p:325-354
    DOI: 10.1016/j.tre.2018.07.008
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    11. Guitao Zhang & Xiao Zhang & Hao Sun & Xinyu Zhao, 2021. "Three-Echelon Closed-Loop Supply Chain Network Equilibrium under Cap-and-Trade Regulation," Sustainability, MDPI, vol. 13(11), pages 1-26, June.
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    15. Cui Li & Doudou Wu & Tengfei Shao, 2023. "Research on Sustainable Cooperation Strategies for Cross-Regional Supply Chain Enterprises in Uncertain Environments," Sustainability, MDPI, vol. 15(22), pages 1-31, November.
    16. Yulia Dzhabarova & Stanimir Kabaivanov & Margarita Ruseva & Boyan Zlatanov, 2020. "Existence, Uniqueness and Stability of Market Equilibrium in Oligopoly Markets," Administrative Sciences, MDPI, vol. 10(3), pages 1-32, September.
    17. Yan Zhou & Miao Hou & Kar-Hung Wong, 2023. "The Optimal Remanufacturing Strategy of the Closed-Loop Supply Chain Network under Government Regulation and the Manufacturer’s Design for the Environment," Sustainability, MDPI, vol. 15(9), pages 1-34, April.
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