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Dynamic model of a supply chain network with sticky price

Author

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  • Zhaobo Chen

    (Taiyuan University of Science and Technology)

  • Chunying Tian

    (Harbin University of Science and Technology)

  • Ding Zhang

    (State University of New York)

  • Dongyan Chen

    (Harbin University of Science and Technology)

Abstract

This article aims at studying the strategic behaviours of competing firms with sticky retail pricing for the product. We base our study in the context of a supply chain network comprising multiple manufacturers and retailers. The manufacturers are involved in the production of a homogeneous product while the retailers purchase the product and sell it to consumers in the end markets. The retail price of the product is sticky. A differential variational inequality model is proposed to handle the multiple agents and their independent behaviours. Furthermore, the existence and uniqueness of the solution to the dynamic supply chain network with sticky price are shown. A numerical example is provided to illustrate the model and the computational results of equilibrium behaviour are presented. This paper contributes to literature by introducing price stickiness into supply chain networks and developing a differential variational inequality model to analyze the dynamic strategies of firms in the decentralized supply chain network.

Suggested Citation

  • Zhaobo Chen & Chunying Tian & Ding Zhang & Dongyan Chen, 2020. "Dynamic model of a supply chain network with sticky price," Operational Research, Springer, vol. 20(2), pages 649-670, June.
    • Handle: RePEc:spr:operea:v:20:y:2020:i:2:d:10.1007_s12351-017-0354-1
    DOI: 10.1007/s12351-017-0354-1
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    References listed on IDEAS

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    1. Anna Nagurney & Dong Li, 2015. "A supply chain network game theory model with product differentiation, outsourcing of production and distribution, and quality and price competition," Annals of Operations Research, Springer, vol. 226(1), pages 479-503, March.
    2. T. C. E. Cheng & Y. N. Wu, 2006. "A Multiproduct, Multicriterion Supply-Demand Network Equilibrium Model," Operations Research, INFORMS, vol. 54(3), pages 544-554, June.
    3. Nagurney, Anna & Liu, Zugang & Cojocaru, Monica-Gabriela & Daniele, Patrizia, 2007. "Dynamic electric power supply chains and transportation networks: An evolutionary variational inequality formulation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(5), pages 624-646, September.
    4. Anna Nagurney & Min Yu & Jonas Floden, 2013. "Supply chain network sustainability under competition and frequencies of activities from production to distribution," Computational Management Science, Springer, vol. 10(4), pages 397-422, December.
    5. Anna Nagurney, 2006. "Supply Chain Network Economics," Books, Edward Elgar Publishing, number 4242.
    6. M. G. Cojocaru & P. Daniele & A. Nagurney, 2005. "Projected Dynamical Systems and Evolutionary Variational Inequalities via Hilbert Spaces with Applications1," Journal of Optimization Theory and Applications, Springer, vol. 127(3), pages 549-563, December.
    7. Li, Jian & Wang, Shouyang & Cheng, T.C.E., 2010. "Competition and cooperation in a single-retailer two-supplier supply chain with supply disruption," International Journal of Production Economics, Elsevier, vol. 124(1), pages 137-150, March.
    8. Terry L. Friesz, 2010. "Dynamic Optimization and Differential Games," International Series in Operations Research and Management Science, Springer, number 978-0-387-72778-3.
    9. Wakolbinger, Tina & Toyasaki, Fuminori & Nowak, Thomas & Nagurney, Anna, 2014. "When and for whom would e-waste be a treasure trove? Insights from a network equilibrium model of e-waste flows," International Journal of Production Economics, Elsevier, vol. 154(C), pages 263-273.
    10. Terry L. Friesz & David Bernstein & Tony E. Smith & Roger L. Tobin & B. W. Wie, 1993. "A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem," Operations Research, INFORMS, vol. 41(1), pages 179-191, February.
    11. Albert Y. Ha & Shilu Tong & Hongtao Zhang, 2011. "Sharing Demand Information in Competing Supply Chains with Production Diseconomies," Management Science, INFORMS, vol. 57(3), pages 566-581, March.
    12. Nagurney, Anna & Yu, Min & Floden, Jonas & Nagurney, Ladimer S., 2014. "Supply chain network competition in time-sensitive markets," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 70(C), pages 112-127.
    13. Carlton, Dennis W, 1986. "The Rigidity of Prices," American Economic Review, American Economic Association, vol. 76(4), pages 637-658, September.
    14. Friesz, Terry L. & Lee, Ilsoo & Lin, Cheng-Chang, 2011. "Competition and disruption in a dynamic urban supply chain," Transportation Research Part B: Methodological, Elsevier, vol. 45(8), pages 1212-1231, September.
    15. Gérard P. Cachon & Marshall Fisher, 2000. "Supply Chain Inventory Management and the Value of Shared Information," Management Science, INFORMS, vol. 46(8), pages 1032-1048, August.
    16. Yu, Min & Nagurney, Anna, 2013. "Competitive food supply chain networks with application to fresh produce," European Journal of Operational Research, Elsevier, vol. 224(2), pages 273-282.
    17. Friesz, Terry L. & Rigdon, Matthew A. & Mookherjee, Reetabrata, 2006. "Differential variational inequalities and shipper dynamic oligopolistic network competition," Transportation Research Part B: Methodological, Elsevier, vol. 40(6), pages 480-503, July.
    18. Patrizia Daniele, 2006. "Dynamic Networks and Evolutionary Variational Inequalities," Books, Edward Elgar Publishing, number 3516.
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