1999 Volume 64 Issue 521 Pages 301-308
Facilities location problem to minimize the power sum of distances between demand points and any facility is concerned. First, studies in literature are reviewed. Second, a new heuristic method for mini-power-sum problem, which is based on stochastic descent method and stochastic approximation method, is presented. Next, comparisons of algorithmic performance with famed methods: comparison with Cooper's Alternate method at power exponent r = 1.0, comparison with k-means algorithm as cluster analysis tool at r = 2.0, and comparison with Drezner's heuristic method for multi-source Mini-max problem at r = 50.0, are shown. Consequently the effectiveness and the priority of presented method are confirmed.
