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Statics and Dynamics of Global Supply Chain Networks

In: Pareto Optimality, Game Theory And Equilibria

Author

Listed:
  • Anna Nagurney

    (Isenberg School of Management)

  • Jose Cruz

    (University of Connecticut)

  • Fuminori Toyasaki

    (McGill University)

Abstract

In this paper, we develop static and dynamic models of global supply chains as networks with three tiers of decision-makers: manufacturers, retailers, and consumers associated with the demand markets who compete within a tier but cooperate between tiers. The decision-makers may be based in the same or in different countries, may transact in different currencies, and are faced with different degrees of environmental concern. Moreover, we allow for electronic transactions in the form of electronic commerce between the decision-makers. The proposed supernetworkframework formalizes the modeling and theoretical analysis of such global supply chains and also enables the dynamic tracking of the evolution of the associated prices and product transactions (as well as the emissions) to the equilibrium state. Moreover, it measures the impacts on the environment associated with the behaviors of the decision-makers. Finally, we propose a discrete-time algorithm that allows for the discretization of the continuous time trajectories and that results in closed form expressions at each iteration.

Suggested Citation

  • Anna Nagurney & Jose Cruz & Fuminori Toyasaki, 2008. "Statics and Dynamics of Global Supply Chain Networks," Springer Optimization and Its Applications, in: Altannar Chinchuluun & Panos M. Pardalos & Athanasios Migdalas & Leonidas Pitsoulis (ed.), Pareto Optimality, Game Theory And Equilibria, pages 799-832, Springer.
  • Handle: RePEc:spr:spochp:978-0-387-77247-9_28
    DOI: 10.1007/978-0-387-77247-9_28
    as

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