Multi-period supply chain network equilibrium with capacity constraints and purchasing strategies

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    36 Citations (Scopus)

    Abstract

    In this paper, we propose a capacitated supply chain network equilibrium model in which three tiers of decision makers (manufacturers, retailers and consumers at demand markets) seek to determine their optimal plans over a multi-period planning horizon. Unlike other studies in the extent literature, we use a new concept of purchasing strategy to model the strategic behavior of retailers and consumers at demand markets in a capacitated supply chain network. A purchasing strategy denotes an ordered set of manufacturers (or retailers) from which each retailer (or each consumer at a demand market) prefers to purchase a product. We show that the equilibrium conditions governing the multi-period capacitated supply chain network equilibrium problem can be formulated as a variational inequality in terms of strategies and strategic flows. To find a solution to this variational inequality, we propose an iterative algorithm that generates strategies for retailers and consumers as required by solving a dynamic program. We prove that the solution set is nonempty and provide a numerical example to illustrate the validity of our model.

    Original languageEnglish
    Pages (from-to)803-820
    Number of pages18
    JournalTransportation Research Part C: Emerging Technologies
    Volume19
    Issue number5
    DOIs
    Publication statusPublished - Aug 2011

    Keywords

    • Capacity
    • Multi-period supply chains
    • Network equilibrium
    • Purchasing strategy
    • Transportation networks

    ASJC Scopus subject areas

    • Civil and Structural Engineering
    • Automotive Engineering
    • Transportation
    • Computer Science Applications

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