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

Takahito Kuno

Annals of Operations Research, 1997, vol. 69, issue 0, 276 pages

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

Date: 1997
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DOI: 10.1023/A:1018937113330

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