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两个双目标竞争选址问题模型
Two Bi-objective Optimization Models for Competitive Location Problems
【摘要】 研究了多目标竞争选址问题,建立了市场份额最大、费用最小和利润最大、利润率也最大的两类双目标竞争选址模型.探讨了模型的性质与相互关系,并利用多目标优化技术将这两类双目标模型转化为同一类型的单目标参数整数规划问题求解,给出有效解集的精确求解方法和近似求解方法,并通过数值例子说明求解方法.
【Abstract】 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.
【关键词】 竞争选址;
双目标;
加权法;
参数规划;
【Key words】 competitive location; bi-objective; weighting method; parametric programming;
【Key words】 competitive location; bi-objective; weighting method; parametric programming;
【基金】 国家自然科学基金(10171108)
- 【文献出处】 系统工程理论与实践 ,Systems Engineering-Theory & Practice , 编辑部邮箱 ,2007年01期
- 【分类号】F224
- 【被引频次】38
- 【下载频次】1051