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Incorporating Waiting Time in Competitive Location Models

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  • Francisco Silva

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  • Daniel Serra

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Abstract

In this paper we propose a metaheuristic to solve a new version of the Maximum Capture Problem. In the original MCP, market capture is obtained by lower traveling distances or lower traveling time, in this new version not only the traveling time but also the waiting time will affect the market share. This problem is hard to solve using standard optimization techniques. Metaheuristics are shown to offer accurate results within acceptable computing times. Copyright Springer Science+Business Media, LLC 2007

Suggested Citation

  • Francisco Silva & Daniel Serra, 2007. "Incorporating Waiting Time in Competitive Location Models," Networks and Spatial Economics, Springer, vol. 7(1), pages 63-76, March.
  • Handle: RePEc:kap:netspa:v:7:y:2007:i:1:p:63-76
    DOI: 10.1007/s11067-006-9006-3
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    References listed on IDEAS

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    1. Hakimi, S. Louis, 1983. "On locating new facilities in a competitive environment," European Journal of Operational Research, Elsevier, vol. 12(1), pages 29-35, January.
    2. Kohlberg, Elon, 1983. "Equilibrium store locations when consumers minimize travel time plus waiting time," Economics Letters, Elsevier, vol. 11(3), pages 211-216.
    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. 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.
    5. Plastria, Frank, 2001. "Static competitive facility location: An overview of optimisation approaches," European Journal of Operational Research, Elsevier, vol. 129(3), pages 461-470, March.
    6. Vladimir Marianov & Daniel Serra, 1994. "Probabilistic maximal covering location models for congested systems," Economics Working Papers 70, Department of Economics and Business, Universitat Pompeu Fabra.
    7. Daniel Serra & Charles Revelle, 1992. "The PQ-Median problem: Location and districting of hierarchical facilities. Part I," Economics Working Papers 12, Department of Economics and Business, Universitat Pompeu Fabra.
    8. 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.
    9. Rosing, K. E. & ReVelle, C. S., 1997. "Heuristic concentration: Two stage solution construction," European Journal of Operational Research, Elsevier, vol. 97(1), pages 75-86, February.
    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.
    11. Daniel Serra & Charles Revelle, 1994. "Competitive location in discrete space," Economics Working Papers 96, Department of Economics and Business, Universitat Pompeu Fabra.
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    Cited by:

    1. David Escuín & Carlos Millán & Emilio Larrodé, 2012. "Modelization of Time-Dependent Urban Freight Problems by Using a Multiple Number of Distribution Centers," Networks and Spatial Economics, Springer, vol. 12(3), pages 321-336, September.

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