Equitable service by a facility: Minimizing the Gini coefficient

被引:79
作者
Drezner, Tammy [1 ]
Drezner, Zvi [1 ]
Guyse, Jeffery [2 ]
机构
[1] Calif State Univ Fullerton, Steven G Mihaylo Coll Business & Econ, Dept Informat Syst & Decis Sci, Fullerton, CA 92834 USA
[2] Calif State Polytech Univ Pomona, Coll Business Adm, Pomona, CA 91768 USA
关键词
Lorenz curve; Gini coefficient; Location; LOCATION-PROBLEMS; INEQUALITY; ALGORITHMS; PLANE;
D O I
10.1016/j.cor.2009.02.019
中图分类号
TP39 [计算机的应用];
学科分类号
080201 [机械制造及其自动化];
摘要
In this paper, we investigate the location of facilities with equity considerations, namely, minimizing the Gini coefficient of the Lorenz curve based on service distances. Properties of the Gini coefficient in the context of location analysis are investigated both for demand originating at points and demand generated in an area. An algorithm that finds the optimal location of one facility in a bounded area in the plane when demand is generated at a set of demand points, is constructed. Randomly generated problems with up to 10,000 demand points are successfully solved in a reasonable computer time. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:3240 / 3246
页数:7
相关论文
共 28 条
[1]
MEASUREMENT OF INEQUALITY [J].
ATKINSON, AB .
JOURNAL OF ECONOMIC THEORY, 1970, 2 (03) :244-263
[2]
The equitable location problem on the plane [J].
Baron, Opher ;
Berman, Oded ;
Krass, Dmitry ;
Wang, Qlan .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2007, 183 (02) :578-590
[3]
Optimal location with equitable loads [J].
Berman, Oded ;
Drezner, Zvi ;
Tamir, Arie ;
Wesolowsky, George O. .
ANNALS OF OPERATIONS RESEARCH, 2009, 167 (01) :307-325
[4]
Cowell F.A., 1977, MEASURING INEQUALITY, DOI DOI 10.1136/jech.2004.020651
[5]
Current J, 2002, FACILITY LOCATION APPLICATIONS AND THEORY, P81
[6]
Daskin M. S., 2011, Network and discrete location: Models, algorithms, and applications
[7]
Location of casualty collection points [J].
Drezner, T .
ENVIRONMENT AND PLANNING C-GOVERNMENT AND POLICY, 2004, 22 (06) :899-912
[8]
Multiple facilities location in the plane using the gravity model [J].
Drezner, Tammy ;
Drezner, Zvi .
GEOGRAPHICAL ANALYSIS, 2006, 38 (04) :391-406
[9]
Equity models in planar location [J].
Drezner T. ;
Drezner Z. .
Computational Management Science, 2007, 4 (1) :1-16
[10]
The big triangle small triangle method for the solution of nonconvex facility location problems [J].
Drezner, Z ;
Suzuki, A .
OPERATIONS RESEARCH, 2004, 52 (01) :128-135