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A sustainable dynamic closed-loop supply chain network equilibrium for collectibles markets

Author

Listed:
  • Georgia Fargetta

    (University of Catania)

  • Laura R. M. Scrimali

    (University of Catania)

Abstract

In this paper, we present a sustainable closed-loop supply chain network equilibrium problem for collectible items in a time-dependent framework. In particular, we consider a network consisting of manufacturers, retailers, demand markets, and an online second-hand platform involved in forward and reverse logistics competition. Manufacturers as well as retailers try to control the amount of emissions generated in transaction processes. We analyze the optimal behaviors of all the decision-makers, and we give the governing closed-loop supply chain network equilibrium conditions. Then, we introduce the associated evolutionary variational inequality and the related infinite-dimensional projected dynamical system, which are convenient to solve such a problem. Finally, using a discrete-time approximation procedure, we solve a numerical example considering eBay as online platform.

Suggested Citation

  • Georgia Fargetta & Laura R. M. Scrimali, 2023. "A sustainable dynamic closed-loop supply chain network equilibrium for collectibles markets," Computational Management Science, Springer, vol. 20(1), pages 1-30, December.
    • Handle: RePEc:spr:comgts:v:20:y:2023:i:1:d:10.1007_s10287-023-00452-4
    DOI: 10.1007/s10287-023-00452-4
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    References listed on IDEAS

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    1. Cojocaru, Monica-Gabriela & Daniele, Patrizia & Nagurney, Anna, 2006. "Double-layered dynamics: A unified theory of projected dynamical systems and evolutionary variational inequalities," European Journal of Operational Research, Elsevier, vol. 175(1), pages 494-507, November.
    2. Daniele, Patrizia, 2010. "Evolutionary variational inequalities and applications to complex dynamic multi-level models," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(6), pages 855-880, November.
    3. Nagurney, Anna & Toyasaki, Fuminori, 2005. "Reverse supply chain management and electronic waste recycling: a multitiered network equilibrium framework for e-cycling," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 41(1), pages 1-28, January.
    4. Nagurney, Anna & Cruz, Jose & Dong, June & Zhang, Ding, 2005. "Supply chain networks, electronic commerce, and supply side and demand side risk," European Journal of Operational Research, Elsevier, vol. 164(1), pages 120-142, July.
    5. Fu, Lingxian & Tang, Jie & Meng, Fanyong, 2021. "A disease transmission inspired closed-loop supply chain dynamic model for product collection," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    6. Nagurney, Anna & Dong, June & Zhang, Ding, 2002. "A supply chain network equilibrium model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 38(5), pages 281-303, September.
    7. Shen, Bin & Xu, Xiaoyan & Yuan, Quan, 2020. "Selling secondhand products through an online platform with blockchain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 142(C).
    8. 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.
    9. Monica–Gabriela Cojocaru & Patrizia Daniele & Anna Nagurney, 2008. "Projected Dynamical Systems, Evolutionary Variational Inequalities, Applications, and a Computational Procedure," Springer Optimization and Its Applications, in: Altannar Chinchuluun & Panos M. Pardalos & Athanasios Migdalas & Leonidas Pitsoulis (ed.), Pareto Optimality, Game Theory And Equilibria, pages 387-406, Springer.
    10. Haixiang Wu & Bing Xu & Ding Zhang, 2019. "Closed-Loop Supply Chain Network Equilibrium Model with Subsidy on Green Supply Chain Technology Investment," Sustainability, MDPI, vol. 11(16), pages 1-26, August.
    11. Brandenburg, Marcus & Govindan, Kannan & Sarkis, Joseph & Seuring, Stefan, 2014. "Quantitative models for sustainable supply chain management: Developments and directions," European Journal of Operational Research, Elsevier, vol. 233(2), pages 299-312.
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