This paper is divided into two parts. In the first part of this p aper, we present a 2-approximation algorithm for the soft-capacitated facility location prob lem. This achieves the integrality gapâ€¦ (More)

We consider the problem of computing the outer-radii of point sets. In this problem, we are given integers n, d, k where k â‰¤ d, and a set P of n points in R. The goal is to compute the outer k-radiusâ€¦ (More)