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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.

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File URL: http://www.econ.upf.edu/docs/papers/downloads/661.pdf
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Bibliographic Info

Paper provided by Department of Economics and Business, Universitat Pompeu Fabra in its series Economics Working Papers with number 661.

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Date of creation: Jan 2003
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Handle: RePEc:upf:upfgen:661

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Web page: http://www.econ.upf.edu/

Related research

Keywords: Stochastic location; capture models;

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  1. Daniel Serra & Charles Revelle, 1997. "Competitive location and pricing on networks," Economics Working Papers 219, Department of Economics and Business, Universitat Pompeu Fabra.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  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 & 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.
  8. 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.
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Cited by:
  1. 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.
  2. 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.

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