Approximation Algorithms for Metric Facility Location Problems

Mohammad Mahdian, Yinyu Ye, Jiawei Zhang
2006 SIAM journal on computing (Print)  
In this paper we present a 1.52-approximation algorithm for the metric uncapacitated facility location problem, and a 2-approximation algorithm for the metric capacitated facility location problem with soft capacities. Both these algorithms improve the best previously known approximation factor for the corresponding problem, and our soft-capacitated facility location algorithm achieves the integrality gap of the standard LP relaxation of the problem. Furthermore, we will show, using a result of
more » ... Thorup, that our algorithms can be implemented in quasi-linear time.
doi:10.1137/s0097539703435716 fatcat:vlck2hcesrbv7hbxwgzn33noka