Approximation Algorithm for the Squared Metric Soft Capacitated Facility Location Problem

摘要

We consider the squared metric soft capacitated facility location problem (SMSCFLP), which includes both the squared metric facility location problem (SMFLP) and the soft capacitated facility location problem (SCFLP) as special cases. As our main contribution, we propose a primal-dual based 10-approximation algorithm for the SMSCFLP. Our work also extends the applicability of the primal-dual technique.