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HEURISTICS
1998

Computing Approximate Solutions of the Maximum Covering Problem with GRASP

13 years 3 months ago
Computing Approximate Solutions of the Maximum Covering Problem with GRASP
We consider the maximum covering problem, a combinatorial optimization problem that arises in many facility location problems. In this problem, a potential facility site covers a set of demand points. With each demand point, we associate a nonnegative weight. The task is to select a subset of p > 0 sites from the set of potential facility sites, such that the sum of weights of the covered demand points is maximized. We describe a greedy randomized adaptive search procedure (GRASP) for the maximum covering problem that finds good, though not necessarily optimum, placement configurations. We describe a well-known upper bound on the maximum coverage which can be computed by solving a linear program and show that on large instances, the GRASP can produce facility placements that are nearly optimal.
Mauricio G. C. Resende
Added 22 Dec 2010
Updated 22 Dec 2010
Type Journal
Year 1998
Where HEURISTICS
Authors Mauricio G. C. Resende
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