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Journal of Global Optimization

, Volume 2, Issue 1, pp 61–71 | Cite as

Global optimization of a nonconvex single facility location problem by sequential unconstrained convex minimization

  • Hoang Tuy
  • Faiz A. Al-Khayyal
Article

Abstract

The problem of maximizing the sum of certain composite functions, where each term is the composition of a convex decreasing function, bounded from below, with a convex function having compact level sets arises in certain single facility location problems with gauge distance functions. We show that this problem is equivalent to a convex maximization problem over a compact convex set and develop a specialized polyhedral annexation procedure to find a global solution for the case when the inside function is a polyhedral norm. As the problem was solved recently only for local solutions, this paper offers an algorithm for finding a global solution. Implementation and testing are not treated in this short communication.

Key words

Facility location polyhedral annexation method 

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Copyright information

© Kluwer Academic Publishers 1992

Authors and Affiliations

  • Hoang Tuy
    • 1
  • Faiz A. Al-Khayyal
    • 2
  1. 1.Institute of MathematicsHanoiVietnam
  2. 2.School of Industrial and Systems EngineeringGeorgia Institute of TechnologyAtlantaU.S.A.

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