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A parametric approach for maximum flow problems with an additional reverse convex constraint

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  • Takahito Kuno

Abstract

In this paper, we consider maximum integral flow problems with an additional reverse convex constraint involving one or two nonlinear variables. Based on a parametric approach, we propose a polynomial-time algorithm for computing an integral flow globally optimal to the problem with a single nonlinear variable. We extend this idea and solve the problem with two nonlinear variables. The algorithm solves a sequence of ordinary minimum cost flow problems by using a conventional method and yields a globally optimal solution in pseudo-polynomial time. Copyright Kluwer Academic Publishers 1997

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  • Takahito Kuno, 1997. "A parametric approach for maximum flow problems with an additional reverse convex constraint," Annals of Operations Research, Springer, vol. 69(0), pages 261-276, January.
    • Handle: RePEc:spr:annopr:v:69:y:1997:i:0:p:261-276:10.1023/a:1018937113330
    DOI: 10.1023/A:1018937113330
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