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A New Chance-Constrained Maximum Capture Location Problem

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  • Rosa Colomé
  • Helena Lourenço
  • Daniel Serra

Abstract

The paper presents a new model based on the basic Maximum Capture model, MAXCAP. The new Chance-Constrained Maximum Capture model introduces 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. Copyright Kluwer Academic Publishers 2003

Suggested Citation

  • Rosa Colomé & Helena Lourenço & Daniel Serra, 2003. "A New Chance-Constrained Maximum Capture Location Problem," Annals of Operations Research, Springer, vol. 122(1), pages 121-139, September.
    • Handle: RePEc:spr:annopr:v:122:y:2003:i:1:p:121-139:10.1023/a:1026194423072
    DOI: 10.1023/A:1026194423072
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    References listed on IDEAS

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    8. 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.
    9. Daniel Serra & Charles Revelle, 1997. "Competitive location and pricing on networks," Economics Working Papers 219, Department of Economics and Business, Universitat Pompeu Fabra.
    10. 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:

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    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.
    4. David Kik & Matthias G. Wichmann & Thomas S. Spengler, 2023. "Small- or Medium-Sized Enterprise Uses Operations Research to Select and Develop its Headquarters Location," Interfaces, INFORMS, vol. 53(4), pages 312-331, July.

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    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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