Title: A Hybrid Multistart Heuristic for the Uncapacitated Facility Location Problem Mauricio G. C. Resende Algorithms & Optimization Research Department AT&T Labs Research 180 Park Avenue, Florham Park, NJ 07932 mgcr@research.att.com http://www.research.att.com/~mgcr COAUTHOR: Renato F. Werneck Department of Computer Science Princeton University 35 Olden Street, Princeton, NJ 08544. rwerneck@cs.princeton.edu ABSTRACT: We present a multistart heuristic for the uncapacitated facility location problem, based on a very successful method we originally developed for the P-median problem. We show extensive empirical evidence to the effectiveness of our algorithm in practice. For most benchmarks instances in the literature, we obtain solutions that are either optimal or a fraction of a percentage point away from it. Even for pathological instances (created with the sole purpose of being hard to tackle), our algorithm can get very close to optimality if given enough time. It consistently outperforms other heuristics in the literature.