A single facility stochastic location problem under A-distance

In this paper the authors consider a stochastic facility location model in which the weights of demand points are not deterministic but independent random variables, and the distance between the facility and each demand point is A-distance. The present objective is to find a solution which minimizes the total cost criterion subject to a chance constraint on cost restriction. The authors show a solution method which solves the problem in polynomial order computational time. Finally the case of rectilinear distance, which is used in many facility location models, is discussed.