The P-median problem in a changing network: The case of Barcelona

Abstract

In this paper a p--median--like model is formulated to address the issue of locating new facilities when there is uncertainty. Several possible future scenarios with respect to demand and/or the travel times/distance parameters are presented. The planner will want a strategy of positioning that will do as ``well as possible'' over the future scenarios. This paper presents a discrete location model formulation to address this P--Median problem under uncertainty. The model is applied to the location of fire stations in Barcelona.