New emergency facility construction problem underthe given facility and block-wisely different construction cost

Abstract

This paper considers a model of emergency facility construction problem with given emergency facility under the block-wisely difference accident occurrence probabilities and difference construction costs. That is, we consider the following problem. There exists a polygonal area X where new ambulance service station should be located beside a given one (hereafter we call this facility as old one) and there exist m hospitals, We assume that possible candidates are in a finite number of blocks that construction costs are different block-wisely. If an accident occurs , the ambulance cars in the nearer station among either given or new one rushes to the scene of accident and bring the injured persons to the nearest hospitals as soon as possible. Demand points (possible accident occurrence points) are distributed with block-wisely uniform probabilities in X. Weighted sum of A-distances of the route from the nearer station among old and new to the hospital via accident point is considered. For the weighted distance from the nearer station to each block with uniform accident occurrence probability, maximum expected distance is considered with respect to this distance. We also consider the construction cost where in possible site of each block it is constant. The expected distance should be minimized and construction cost be minimized. Above setting, we formulate the model with bi-objectives. After definition of non-dominated site, we propose some solution procedure to find some non-dominated sites. Finally we conclude the results and discuss further research problems.