Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1142421 | Operations Research Letters | 2013 | 6 Pages |
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
Authors
Vineet Goyal, R. Ravi,