竞争环境下截流问题的选址-价格模型  

Optimizing Location and Pricing Policies in Competitive Flow Interception Problem

作　　者：申瑞玲[1] 霍佳震[2] 王茜[3] 

机构地区：[1]河南财经政法大学数学与信息科学学院,河南郑州450000 [2]同济大学经济与管理学院,上海200092 [3]河南工业大学,河南郑州450000

出　　处：《运筹与管理》2015年第4期122-127,共6页Operations Research and Management Science

基　　金：国家自然基金资助项目(71102071;71002020;11371122);国家自然科学基金重大项目资助(71090404/71090400);河南省社科规划基金资助项目(2014BZHD10)

摘　　要：研究了竞争环境下考虑产品定价的截流设施选址问题。连锁企业在市场上新建设施时,市场上已有属于竞争对手的设施存在,在连锁企业新建设施位置确定之后,两个企业关于产品定价进行双寡头完全信息非合作博弈。定义了效用函数,引入Huff模型,以企业利润最大为目标,建立双层规划模型,证明了模型纳什均衡价格的存在性,并构造启发式算法对模型进行求解。算例分析表明,该算法求解结果较为理想,可用于大中型网络的规划选址问题。We present the model of optimizing the location and pricing for a firm entering a competitive market in a flow interception problem. The entering firm charges uniform mill price and aims at finding the locations and price to optimize its overall profit. The competitor, on the other hand, can react by adjusting its price with the objective of maximizing its own profit. We define the utility functions, and a probability of customers on each path patronizing the facility is described by a Huff-like model. A heuristic algorithm is presented. We also ana- lyze the benefit of the entering firm gains considering the competitor＇ s reaction.

关 键 词：运筹学 截流设施选址 选址-价格 纳什均衡 模拟退火算法 

分 类 号：O221.2[理学—运筹学与控制论]