Article ID Journal Published Year Pages File Type
1142421 Operations Research Letters 2013 6 Pages PDF
Abstract

We consider the problem of minimizing a class of quasi-concave functions over a convex set. Quasi-concave functions are generalizations of concave functions and NP-hard to minimize in general. We present a simple fully polynomial time approximation scheme (FPTAS) for minimizing a class of low-rank quasi-concave functions. Our algorithm solves a polynomial number of linear minimization problems and computes an extreme point near-optimal solution. Therefore, it applies directly to combinatorial 00-11 problems where the convex hull of feasible solutions is known.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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