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

被引:75
作者
Haase, Knut [1 ]
Mueller, Sven [1 ]
机构
[1] Univ Hamburg, Inst Transport Econ, D-20146 Hamburg, Germany
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
    Aros-Vera, Felipe
    Marianov, Vladimir
    Mitchell, John E.
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2013, 226 (02) : 277 - 285
  • [2] Hybrid choice models: Progress and challenges
    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
    [J]. MARKETING LETTERS, 2002, 13 (03) : 163 - 175
  • [3] The maximum capture problem with random utilities: Problem formulation and algorithms
    Benati, S
    Hansen, P
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2002, 143 (03) : 518 - 530
  • [4] The maximum capture problem with heterogeneous customers
    Benati, S
    [J]. 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
    Haase, Knut
    Mueller, Sven
    [J]. 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
    Marianov, Vladimir
    Rios, Miguel
    Icaza, Manuel Jose
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2008, 191 (01) : 32 - 44
  • [8] Economic choices
    McFadden, D
    [J]. AMERICAN ECONOMIC REVIEW, 2001, 91 (03) : 351 - 378
  • [9] Exposing Unobserved Spatial Similarity: Evidence from German School Choice Data
    Mueller, Sven
    Haase, Knut
    Seidel, Frauke
    [J]. GEOGRAPHICAL ANALYSIS, 2012, 44 (01) : 65 - 86
  • [10] A multiperiod school location planning approach with free school choice
    Mueller, Sven
    Haase, Knut
    Kless, Sascha
    [J]. ENVIRONMENT AND PLANNING A, 2009, 41 (12) : 2929 - 2945