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Weber problems with mixed distances and regional demand

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  • Martin Gugat
  • Barbara Pfeiffer

Abstract

We consider a location problem where the distribution of the existing facilities is described by a probability distribution and the transportation cost is given by a combination of transportation cost in a network and continuous distance. The motivation is that in many cases transportation cost is partly given by the cost of travel in a transportation network whereas the access to the network and the travel from the exit of the network to the new facility is given by a continuous distance. Copyright Springer-Verlag 2007

Suggested Citation

  • Martin Gugat & Barbara Pfeiffer, 2007. "Weber problems with mixed distances and regional demand," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 66(3), pages 419-449, December.
    • Handle: RePEc:spr:mathme:v:66:y:2007:i:3:p:419-449
    DOI: 10.1007/s00186-007-0165-x
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    References listed on IDEAS

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    1. Ouyang, Yanfeng & Daganzo, Carlos F., 2003. "Discretization and Validation of the Continuum Approximation Scheme for Terminal System Design," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt9dm7v0cn, Institute of Transportation Studies, UC Berkeley.
    2. Carrizosa, E. & Munoz-Marquez, M. & Puerto, J., 1998. "The Weber problem with regional demand," European Journal of Operational Research, Elsevier, vol. 104(2), pages 358-365, January.
    3. Richard E. Wendell & Arthur P. Hurter, 1973. "Location Theory, Dominance, and Convexity," Operations Research, INFORMS, vol. 21(1), pages 314-320, February.
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    Cited by:

    1. Jing Yao & Alan T. Murray, 2014. "Serving regional demand in facility location," Papers in Regional Science, Wiley Blackwell, vol. 93(3), pages 643-662, August.
    2. Nazlı Dolu & Umur Hastürk & Mustafa Kemal Tural, 2020. "Solution methods for a min–max facility location problem with regional customers considering closest Euclidean distances," Computational Optimization and Applications, Springer, vol. 75(2), pages 537-560, March.
    3. Didier Josselin & Marc Ciligot-Travain, 2013. "Revisiting the Optimal Center Location. A Spatial Thinking Based on Robustness, Sensitivity, and Influence Analysis," Environment and Planning B, , vol. 40(5), pages 923-941, October.
    4. Frank Plastria & Mohamed Elosmani, 2013. "Continuous location of an assembly station," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(2), pages 323-340, July.

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