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On Min-Max Optimization of a Collection of Classical Discrete Optimization Problems

  • Gang Yu
  • Panagiotis Kouvelis
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 4)

Abstract

In this paper, we study discrete optimization problems with min-max objective functions. This type of optimization has long been the attention of researchers, and it has direct applications in the recent development of robust optimization. The following well-known classes of problems are discussed: 1) the minimum spanning tree problem, 2) the resource allocation problem with separable cost functions, and 3) the production control problem. Computational complexities of the corresponding min-max version of the above-mentioned problems are analyzed. Pseudo-polynomial algorithms for these problems under certain conditions are provided.

Keywords

Span Tree Robust Optimization Resource Allocation Problem Discrete Optimization Problem Grid Graph 
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

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Gang Yu
    • 1
  • Panagiotis Kouvelis
    • 2
  1. 1.Department of Management Science and Information SystemsThe University of Texas at AustinAustinUSA
  2. 2.The Fuqua School of BusinessDuke UniversityDurhamUSA

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