The minimum weighted covering location problem with distance constraints

The objective is to locate undesirable facilities on a network so as to minimize the total demand covered subject to the condition that no two facilities are allowed to be closer than a pre-specified distance. We prove that there exists a dominating location set and that it is a challenging problem to determine the consistency of the distance constraints. We compare several different mathematical formulations to solve the problem. Heuristics with computational experiments are provided. (C) 2006 Elsevier Ltd. All rights reserved.