COMPETITIVE LOCATION PROBLEM WITH GEOGRAPHICAL INTERDICTION AND AGGREGATION EFFECT
When multiple competitive facilities are located in the same place,they will attract more customers to use them,this phenomenon is called aggregation effect.The competitive location problem (CLP) with aggregation effect (AE) is investigated in this paper.Meanwhile,the geographical interdiction (GI) is considered.A new mathematical model for CLP with AE and GI is constructed.The objective function of the model is to maximize the profits.A method for solving the model is given.The aggregation effect is quantified by two parameters,which are the growth rate of demand and the discount rate of distance.The geographical interdiction can be eliminated by adding special nodes.We also do simulations on an example.The results show that when considering aggregation effect,more profits can be obtained by setting the competitive facilities in the same candidate point than setting them decentralized.By analyzing the relationships between the optimal solution and two parameters,we give some meaningful conclusions.
Geographical interdiction Aggregation effect Competitive location Mathematical model
Zhenping Li Jieqiong Hu
School of Information, Beijing Wuzi University, Beijing 101149, China Department of Postgraduate , Beijing Wuzi University, Beijing 101149, China
国际会议
11th International Symposium on Operations Research and its Applications(第11届运筹学及其应用国际研讨会)
安徽黄山
英文
109-113
2013-08-23(万方平台首次上网日期,不代表论文的发表时间)