A comparison of linear reformulations for multinomial logit choice probabilities in facility location models

被引：79
作者：
Haase, Knut [1 ]
Mueller, Sven [1 ]
机构：
[1] Univ Hamburg, Inst Transport Econ, D-20146 Hamburg, Germany
来源：
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2014年 / 232卷 / 03期
关键词：
Multinomial logit model; Facility location; Linear reformulations; MAXIMUM CAPTURE PROBLEM;
D O I：
10.1016/j.ejor.2013.08.009
中图分类号：
C93 [管理学];
学科分类号：
12 ; 1201 ; 1202 ; 120202 ;
摘要：
In the last decade several papers appeared on facility location problems that incorporate customer demand by the multinomial logit model. Three linear reformulations of the original non-linear model have been proposed so far. In this paper, we discuss these models in terms of solvability. We present empirical findings based on synthetic data. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：689 / 691
页数：3
相关论文
共 13 条
[1]   p-Hub approach for the optimal park-and-ride facility location problem [J].
Aros-Vera, Felipe ;
Marianov, Vladimir ;
Mitchell, John E. .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2013, 226 (02) :277-285
[2]   Hybrid choice models: Progress and challenges [J].
Ben-Akiva, M ;
Mcfadden, D ;
Train, K ;
Walker, J ;
Bhat, C ;
Bierlaire, M ;
Bolduc, D ;
Boersch-Supan, A ;
Brownstone, D ;
Bunch, DS ;
Daly, A ;
De Palma, A ;
Gopinath, D ;
Karlstrom, A ;
Munizaga, MA .
MARKETING LETTERS, 2002, 13 (03) :163-175
[3]   The maximum capture problem with random utilities: Problem formulation and algorithms [J].
Benati, S ;
Hansen, P .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2002, 143 (03) :518-530
[4]   The maximum capture problem with heterogeneous customers [J].
Benati, S .
COMPUTERS & OPERATIONS RESEARCH, 1999, 26 (14) :1351-1367
[5]  
Haase K., 2009, WP0907 U SYDN I TRAN
[6]   Management of school locations allowing for free school choice [J].
Haase, Knut ;
Mueller, Sven .
OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE, 2013, 41 (05) :847-855
[7]   Facility location for market capture when users rank facilities by shorter travel and waiting times [J].
Marianov, Vladimir ;
Rios, Miguel ;
Icaza, Manuel Jose .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2008, 191 (01) :32-44
[8]   Economic choices [J].
McFadden, D .
AMERICAN ECONOMIC REVIEW, 2001, 91 (03) :351-378
[9]   Exposing Unobserved Spatial Similarity: Evidence from German School Choice Data [J].
Mueller, Sven ;
Haase, Knut ;
Seidel, Frauke .
GEOGRAPHICAL ANALYSIS, 2012, 44 (01) :65-86
[10]   A multiperiod school location planning approach with free school choice [J].
Mueller, Sven ;
Haase, Knut ;
Kless, Sascha .
ENVIRONMENT AND PLANNING A, 2009, 41 (12) :2929-2945
12