Two Bi-objective Optimization Models for Competitive Location Problems
两个双目标竞争选址问题模型

We consider two kinds of bi-objective competitive location problems.One is to maximize market share and to minimize cost,and the other is to maximize profit and profit margin.Their properties and relations are studied,and we show that they can be settled by solving a single objective parametric integer programming problem,and then we provide an exact and an approximate approach to obtain the set of efficient solutions.Finally,a numerical example is presented to illuminate the solution techniques.