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Supply chain network design under profit maximization and oligopolistic competition

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  • Nagurney, Anna
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    Abstract

    In this paper, we model the supply chain network design problem with oligopolistic firms who are involved in the competitive production, storage, and distribution of a homogeneous product to multiple demand markets. The profit-maximizing firms select both the capacities associated with the various supply chain network activities as well as the product quantities. We formulate the governing Nash-Cournot equilibrium conditions as a variational inequality problem and identify several special cases of the model, notably, a generalization of a spatial oligopoly and a classical oligopoly problem to include design capacity variables. The proposed computational approach, which is based on projected dynamical systems, fully exploits the network structure of the problems and yields closed form solutions at each iteration. In order to illustrate the modeling framework and the algorithm, we also provide solutions to a spectrum of numerical supply chain network oligopoly design examples. This paper makes a contribution to game theoretic modeling of competitive supply chain network design problems in an oligopolistic setting.

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    Bibliographic Info

    Article provided by Elsevier in its journal Transportation Research Part E: Logistics and Transportation Review.

    Volume (Year): 46 (2010)
    Issue (Month): 3 (May)
    Pages: 281-294

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    Handle: RePEc:eee:transe:v:46:y:2010:i:3:p:281-294

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    Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/600244/description#description

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    Related research

    Keywords: Profit-maximizing supply chains Supply chain design Network oligopolies Game theory Nash equilibria Variational inequalities Projected dynamical systems;

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    Cited by:
    1. 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.
    2. Chung, Sung H. & Weaver, Robert D. & Friesz, Terry L., 2013. "Strategic response to pollution taxes in supply chain networks: Dynamic, spatial, and organizational dimensions," European Journal of Operational Research, Elsevier, vol. 231(2), pages 314-327.
    3. Nagurney, Anna & Yu, Min, 2012. "Sustainable fashion supply chain management under oligopolistic competition and brand differentiation," International Journal of Production Economics, Elsevier, vol. 135(2), pages 532-540.
    4. Masoumi, Amir H. & Yu, Min & Nagurney, Anna, 2012. "A supply chain generalized network oligopoly model for pharmaceuticals under brand differentiation and perishability," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(4), pages 762-780.
    5. Gernot Liedtke & Hanno Friedrich, 2012. "Generation of logistics networks in freight transportation models," Transportation, Springer, vol. 39(6), pages 1335-1351, November.
    6. 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.
    7. Anna Nagurney & Dong Li & Tilman Wolf & Sara Saberi, 2013. "A network economic game theory model of a service-oriented internet with choices and quality competition," Netnomics, Springer, vol. 14(1), pages 1-25, November.

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