Optimality Conditions and Duality Theory

  • H. A. Eiselt
  • Carl-Louis Sandblom
Part of the International Series in Operations Research & Management Science book series (ISOR, volume 282)


This chapter studies optimization problems with constraints under special consideration of necessary and sufficient conditions for optimality of solution points. Although the theory to be presented is not immediately concerned with computational aspects of solution techniques, it nevertheless represents the foundation for the development of algorithms which will be introduced in the following chapters. Apart from their intrinsic relevance, some of these results also provide useful information about the sensitivity of an optimal solution.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • H. A. Eiselt
    • 1
  • Carl-Louis Sandblom
    • 2
  1. 1.Faculty of ManagementUniversity of New BrunswickFrederictonCanada
  2. 2.Department of Industrial EngineeringDalhousie UniversityHalifaxCanada

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