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A new chance-constrained maximum capture location problem

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Abstract

The paper presents a new model based on the basic Maximum Capture model, MAXCAP. The New Chance–Constrained Maximum Capture modelintroduces a stochastic threshold constraint, which recognises the fact that a facility can be open only if a minimum level of demand is captured. A metaheuristic based on MAX–MIN ANT system and TABU search procedure is presented to solve the model. This is the first time that the MAX–MIN ANT system is adapted to solve a location problem. Computational experience and an application to 55–node network are also presented.

Suggested Citation

  • Rosa Colomé & Helena Ramalhinho-Lourenço & Daniel Serra, 2003. "A new chance-constrained maximum capture location problem," Economics Working Papers 661, Department of Economics and Business, Universitat Pompeu Fabra.
  • Handle: RePEc:upf:upfgen:661
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    File URL: https://econ-papers.upf.edu/papers/661.pdf
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    References listed on IDEAS

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    1. Rolland, Erik & Schilling, David A. & Current, John R., 1997. "An efficient tabu search procedure for the p-Median Problem," European Journal of Operational Research, Elsevier, vol. 96(2), pages 329-342, January.
    2. Michel Gendreau & Alain Hertz & Gilbert Laporte, 1994. "A Tabu Search Heuristic for the Vehicle Routing Problem," Management Science, INFORMS, vol. 40(10), pages 1276-1290, October.
    3. Daniel Serra & Rosa Colomé, 2000. "Supermarket key attributes and location decisions: A comparative study between British and Spanish consumers," Economics Working Papers 469, Department of Economics and Business, Universitat Pompeu Fabra.
    4. D Serra & S Ratick & C ReVelle, 1996. "The maximum capture problem with uncertainty," Environment and Planning B: Planning and Design, Pion Ltd, London, vol. 23(1), pages 49-59, January.
    5. Daniel Serra & Vladimir Marianov, 1996. "The P-median problem in a changing network: The case of Barcelona," Economics Working Papers 180, Department of Economics and Business, Universitat Pompeu Fabra.
    6. Daniel Serra & Charles Revelle & Ken Rosing, 1999. "Surviving in a competitive spatial market: The threshold capture model," Economics Working Papers 359, Department of Economics and Business, Universitat Pompeu Fabra.
    7. Daniel Serra & Charles Revelle, 1997. "Competitive location and pricing on networks," Economics Working Papers 219, Department of Economics and Business, Universitat Pompeu Fabra.
    8. Daniel Serra & Charles Revelle, 1993. "Market capture by two competitors: The pre-emptive location problem," Economics Working Papers 39, Department of Economics and Business, Universitat Pompeu Fabra.
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    Cited by:

    1. repec:spr:annopr:v:256:y:2017:i:1:d:10.1007_s10479-016-2288-z is not listed on IDEAS
    2. Benjamin Spaulding & Robert Cromley, 2007. "Integrating the maximum capture problem into a GIS framework," Journal of Geographical Systems, Springer, vol. 9(3), pages 267-288, September.
    3. Bilsel, R. Ufuk & Ravindran, A., 2011. "A multiobjective chance constrained programming model for supplier selection under uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 45(8), pages 1284-1300, September.

    More about this item

    Keywords

    Stochastic location; capture models;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • J80 - Labor and Demographic Economics - - Labor Standards - - - General

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