Proceedings 2001 IEEE International Conference on Cluster Computing (2001)
Las Vegas, Nevada
Oct. 14, 2001 to Oct. 17, 2001
<p>In this paper we give the first constant factor approximation algorithm for the Facility Location Problem with nonuniform, hard capacities. Facility location problems have received a great deal of attention in recent years. Approximation algorithms have been developed for many variants. Most of these algorithms are based on linear programming, but the LP techniques developed thus far have been unsuccessful in dealing with hard capacities.</p> <p>A local-search based approximation algorithm [11, 6] is known for the special case of hard but uniform capacities. We present a local-search heuristic that yields an approximation guarantee of 9 + \varepsilon for the case of nonuniform hard capacities. To obtain this result we introduce new operations that are natural in this context. Our proof is based on network flow techniques.</p>
T. Wexler, M. Pál and &. Tardos, "Facility Location with Nonuniform Hard Capacities," Proceedings 2001 IEEE International Conference on Cluster Computing(FOCS), Las Vegas, Nevada, 2001, pp. 329.