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

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  • Haase, Knut
  • Müller, Sven

Abstract

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.

Suggested Citation

  • Haase, Knut & Müller, Sven, 2014. "A comparison of linear reformulations for multinomial logit choice probabilities in facility location models," European Journal of Operational Research, Elsevier, vol. 232(3), pages 689-691.
    • Handle: RePEc:eee:ejores:v:232:y:2014:i:3:p:689-691
    DOI: 10.1016/j.ejor.2013.08.009
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    References listed on IDEAS

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    1. Daniel McFadden, 2001. "Economic Choices," American Economic Review, American Economic Association, vol. 91(3), pages 351-378, June.
    2. Aros-Vera, Felipe & Marianov, Vladimir & Mitchell, John E., 2013. "p-Hub approach for the optimal park-and-ride facility location problem," European Journal of Operational Research, Elsevier, vol. 226(2), pages 277-285.
    3. Haase, Knut & Müller, Sven, 2013. "Management of school locations allowing for free school choice," Omega, Elsevier, vol. 41(5), pages 847-855.
    4. Ben-Akiva, Moshe & McFadden, Daniel & Train, Kenneth & Börsch-Supan, Axel, 2002. "Hybrid Choice Models: Progress and Challenges," Sonderforschungsbereich 504 Publications 02-29, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    5. D Serra & H A Eiselt & G Laporte & C S ReVelle, 1999. "Market Capture Models under Various Customer-Choice Rules," Environment and Planning B, , vol. 26(5), pages 741-750, October.
    6. Marianov, Vladimir & Rí­os, Miguel & Icaza, Manuel José, 2008. "Facility location for market capture when users rank facilities by shorter travel and waiting times," European Journal of Operational Research, Elsevier, vol. 191(1), pages 32-44, November.
    7. Benati, Stefano & Hansen, Pierre, 2002. "The maximum capture problem with random utilities: Problem formulation and algorithms," European Journal of Operational Research, Elsevier, vol. 143(3), pages 518-530, December.
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