A competitive facility location problem on a tree network with stochastic weights

被引:45
作者
Shiode, S
Drezner, Z [1 ]
机构
[1] Calif State Univ Fullerton, Coll Business & Econ, Dept Management Sci Informat Syst, Fullerton, CA 92834 USA
[2] Kobe Gakuin Univ, Fac Econ, Kobe, Hyogo 65121, Japan
关键词
competitive facility location; Stackelberg equilibrium; stochastic location problems;
D O I
10.1016/S0377-2217(02)00459-9
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
We consider it demand points on a tree network. Two competitive companies plan to construct their own facilities on this network in a certain order. We assume that the weights of demand points at the entry time of the follower, used by the leader in his decision, are stochastic. We also assume that each customer utilizes the nearest facility to him. The objective of each company is to locate its facility so as to maximize the captured buying power after the follower's entry. We analyze the problems and present an efficient solution procedure to find a Stackelberg equilibrium solution. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:47 / 52
页数:6
相关论文
共 20 条
[11]   ALGORITHMS FOR VOTING AND COMPETITIVE LOCATION ON A NETWORK [J].
HANSEN, P ;
LABBE, M .
TRANSPORTATION SCIENCE, 1988, 22 (04) :278-288
[12]   STABILITY IN COMPETITION [J].
Hotelling, Harold .
ECONOMIC JOURNAL, 1929, 39 (153) :41-57
[13]  
LERNER A, 1937, J POLITICAL EC, V39, P145
[14]   SEQUENTIAL LOCATION AMONG FIRMS WITH FORESIGHT [J].
PRESCOTT, EC ;
VISSCHER, M .
BELL JOURNAL OF ECONOMICS, 1977, 8 (02) :378-393
[15]   MARKET CAPTURE BY 2 COMPETITORS - THE PREEMPTIVE LOCATION PROBLEM [J].
SERRA, D ;
REVELLE, C .
JOURNAL OF REGIONAL SCIENCE, 1994, 34 (04) :549-561
[16]   The maximum capture problem with uncertainty [J].
Serra, D ;
Ratick, S ;
ReVelle, C .
ENVIRONMENT AND PLANNING B-PLANNING & DESIGN, 1996, 23 (01) :49-59
[17]  
Serra D, 1995, FACILITY LOCATION SU
[18]  
Shiode S., 1991, Annals of Operations Research, V31, P469, DOI 10.1007/BF02204864
[19]   DEFINING AREAS OF VOTER CHOICE - PROFESSOR TULLOCK ON STABLE VOTING [J].
SIMPSON, PB .
QUARTERLY JOURNAL OF ECONOMICS, 1969, 83 (03) :478-490
[20]   PROBABILISTIC WEIGHTS IN ONE-DIMENSIONAL FACILITY LOCATION PROBLEM [J].
WESOLOWSKY, GO .
MANAGEMENT SCIENCE, 1977, 24 (02) :224-229