Speaker: Chadi Kari Day: Wednesday, 04/25/2007 Room: ITEB 336 Time: 2:00-3:30pm Title: Approximation algorithm for uncapacitated metric facility location Abstract One of the most studied problems in the Operations Research literature is the uncapacitated facility location problem dating back to work in the early 60's. In its simplest form the problem is as follows: we wish to find optimal locations to build facilities to serve a given set of clients. Each client must be assigned to a facility and a cost is incurred that is proportional to the distance between them. The objective is to determine a set of locations at which facilities are to be opened so as to minimize the total facility and assignment costs. This problem is NP-Hard and in recent years there has been many approximation algorithms and techniques designed to tackle this problem. In this talk, an approach based on LP rounding is discussed. Reading : D.B. Shmoys, E. Tardos, and K.I. Aardal, "Approximation algorithms for facility location problems," in Proceedings of the 29th Annual ACM Symposium on Theory of Computing (STOC), pages 265--274, 1997. D. B. Shmoys, Approximation algorithms for facility location problems, 3rd International Workshop on Approximation Algorithms for Combinatorial Optimization (APPROX), 27-33, 2000.