Efficient solution approaches for a discrete multi-facility competitive interaction model

被引:0
作者
Robert Aboolian
Oded Berman
Dmitry Krass
机构
[1] California State University San Marcos,College of Business Administration
[2] University of Toronto,Rotman School of Management
来源
Annals of Operations Research | 2009年 / 167卷
关键词
Competitive facility location; Spatial interaction models; Nonseparable convex knapsack problem; Approximation;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we present efficient solution approaches for discrete multi-facility competitive interaction model. Applying the concept of “Tangent Line Approximation” presented by the authors in their previous work, we develop efficient computational approaches—both exact and approximate (with controllable error bound α). Computational experiments show that the approximate approach (with small α) performs extremely well solving large scale problems while the exact approach performs very well for small to medium-sized problems.
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页码:297 / 306
页数:9
相关论文
共 38 条
[1]  
Aboolian R.(2007)Competitive facility location model with concave demand European Journal on Operational Research 181 598-619
[2]  
Berman O.(1982)MULTILOCC, a multiple store location decision model Journal of Retailing 58 5-25
[3]  
Krass D.(1998)Flow intercepting spatial interaction model: a new approach to optimal location of competitive facilities Location Science 6 41-65
[4]  
Achabal D.(2002)The nonlinear knapsack problem—algorithms and applications European Journal of Operational Research 138 459-472
[5]  
Gorr W. L.(1999)Exact solution of the quadratic knapsack problem INFORMS Journal on Computing 11 125-137
[6]  
Mahajan V.(1994)Optimal continuous location of a retail facility, facility attractiveness, and market share: an interactive model Journal of Retailing 70 49-64
[7]  
Berman O.(1997)Replacing discrete demand with continous demand in a competitive facility location problem Naval Research Logistics 44 81-95
[8]  
Krass D.(2002)Solving the multiple competitive facilities location problem European Journal of Operational Research 142 138-151
[9]  
Bretthauer K.M.(1986)Convex quadratic programming with one constraint and bounded variables Mathematical Programming 36 90-104
[10]  
Shetty B.(1980)Quadratic knapsack problems Mathematical Programming 12 132-149