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A network economic model for supply chain versus supply chain competition

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  • Zhang, Ding
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    Abstract

    We study a supply chain economy (SCE) that comprises heterogeneous SC involving multiple products and competing for multiple markets. The proposed network model is built upon operation links and interface links, representing, respectively, substantial SC operations and coordination functions between the operations. The paper presents a variational inequality formulation of the problem, the solution of which determines the winning SC and their market shares in the equilibrium of SCE. We furnish qualitative properties such as existence and uniqueness of the equilibrium. Numerical examples are presented for illustrative purpose.

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    Bibliographic Info

    Article provided by Elsevier in its journal Omega.

    Volume (Year): 34 (2006)
    Issue (Month): 3 (June)
    Pages: 283-295

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    Handle: RePEc:eee:jomega:v:34:y:2006:i:3:p:283-295

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    Keywords: Supply chain economy Inter supply chain competition Operation and interface links Market pertinent chain Equilibrium Variational inequality problem;

    References

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    1. Nagurney, Anna & Zhang, Ding, 1996. "On the stability of an adjustment process for spatial price equilibrium modeled as a projected dynamical system," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 43-62.
    2. Charles J. Corbett & Uday S. Karmarkar, 2001. "Competition and Structure in Serial Supply Chains with Deterministic Demand," Management Science, INFORMS, vol. 47(7), pages 966-978, July.
    3. Nagurney, Anna & Takayama, Takashi & Zhang, Ding, 1995. "Massively parallel computation of spatial price equilibrium problems as dynamical systems," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 3-37.
    4. Erenguc, S. Selcuk & Simpson, N. C. & Vakharia, Asoo J., 1999. "Integrated production/distribution planning in supply chains: An invited review," European Journal of Operational Research, Elsevier, vol. 115(2), pages 219-236, June.
    5. 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.
    6. Lakhal, Salem & Martel, Alain & Kettani, Ossama & Oral, Muhittin, 2001. "On the optimization of supply chain networking decisions," European Journal of Operational Research, Elsevier, vol. 129(2), pages 259-270, March.
    7. Beamon, Benita M., 1998. "Supply chain design and analysis:: Models and methods," International Journal of Production Economics, Elsevier, vol. 55(3), pages 281-294, August.
    8. Dong, June & Zhang, Ding & Nagurney, Anna, 2004. "A supply chain network equilibrium model with random demands," European Journal of Operational Research, Elsevier, vol. 156(1), pages 194-212, July.
    9. Gérard P. Cachon & Paul H. Zipkin, 1999. "Competitive and Cooperative Inventory Policies in a Two-Stage Supply Chain," Management Science, INFORMS, vol. 45(7), pages 936-953, July.
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    Cited by:
    1. Nagurney, Anna & Nagurney, Ladimer S., 2012. "Medical nuclear supply chain design: A tractable network model and computational approach," International Journal of Production Economics, Elsevier, vol. 140(2), pages 865-874.
    2. Nagurney, Anna & Nagurney, Ladimer S., 2012. "Dynamics and equilibria of ecological predator–prey networks as nature’s supply chains," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(1), pages 89-99.
    3. Wang, Xiaolei & Ouyang, Yanfeng & Yang, Hai & Bai, Yun, 2013. "Optimal biofuel supply chain design under consumption mandates with renewable identification numbers," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 158-171.

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