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Methodological Foundations

  • Anna Nagurney
  • Dong Li
Chapter
Part of the Springer Series in Supply Chain Management book series (SSSCM, volume 2)

Abstract

In this chapter, we set the groundwork for the understanding and application of the methodological tools that are utilized for the supply chain network models with quality competition in this book. We first overview the basics of variational inequality theory and the connections with optimization. We provide conditions for existence and uniqueness of solutions, along with the definitions of the essential properties. We relate the variational inequality problem to game theory since game theory models are developed throughout this book in order to formulate competition among supply chain network decision-makers. In addition, we recall the fundamentals of projected dynamical systems theory and the relationships with variational inequality theory in order to enable the description of dynamic interactions among decision-makers in supply chains. For completeness, we also provide results on stability analysis. We discuss some fundamentals of multicriteria decision-making since supply chain decision-makers may be faced with multiple criteria, even conflicting ones, that they wish to optimize. Finally, we present algorithms that are used for solving the supply chain network models with quality competition.

Keywords

Supply Chain Nash Equilibrium Variational Inequality Euler Method Variational Inequality Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Anna Nagurney
    • 1
  • Dong Li
    • 2
  1. 1.Isenberg School of ManagementUniversity of MassachusettsAmherstUSA
  2. 2.Department of Management and Marketing College of BusinessArkansas State UniversityState UniversityUSA

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