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The maximum capture problem with uncertainty

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The strategic location of servers by a firm in a competitive environment is basic in the determination or division of market shares. Let us suppose that a firm wants to locate p servers so as to maximize market capture in a region where competitors are already located but where there is uncertainty—there are several possible future scenarios with respect to demand and/or the location of competitors. The firm will want a strategy of positioning that will do as ‘well as possible’ over the future scenarios. In this paper we will present a discrete location model formulation to address this maximum capture problem with uncertainty.
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  • Daniel Serra & Samuel Ratick & Charles Revelle, 1994. "The maximum capture problem with uncertainty," Economics Working Papers 74, Department of Economics and Business, Universitat Pompeu Fabra.
  • Handle: RePEc:upf:upfgen:74
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    1. repec:spr:annopr:v:256:y:2017:i:1:d:10.1007_s10479-016-2288-z is not listed on IDEAS
    2. 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.
    3. Carreras, Miquel & Serra, Daniel, 1999. "On optimal location with threshold requirements," Socio-Economic Planning Sciences, Elsevier, vol. 33(2), pages 91-103, June.
    4. 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.
    5. repec:eee:ejores:v:265:y:2018:i:3:p:872-881 is not listed on IDEAS
    6. Shiode, Shogo & Drezner, Zvi, 2003. "A competitive facility location problem on a tree network with stochastic weights," European Journal of Operational Research, Elsevier, vol. 149(1), pages 47-52, August.
    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. Drezner, Zvi & Guyse, Jeffery, 1999. "Application of decision analysis techniques to the Weber facility location problem," European Journal of Operational Research, Elsevier, vol. 116(1), pages 69-79, July.
    9. Gunhak Lee & Morton E. O'Kelly, 2009. "Exploring Locational Equilibria In A Competitive Broadband Access Market: Theoretical Modeling Approach," Journal of Regional Science, Wiley Blackwell, vol. 49(5), pages 953-975.
    10. Owen, Susan Hesse & Daskin, Mark S., 1998. "Strategic facility location: A review," European Journal of Operational Research, Elsevier, vol. 111(3), pages 423-447, December.
    11. Hua, Guowei & Cheng, T.C.E. & Wang, Shouyang, 2011. "The maximum capture per unit cost location problem," International Journal of Production Economics, Elsevier, vol. 131(2), pages 568-574, June.
    12. 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.
    13. Francisco Silva & Daniel Serra, 2008. "Incorporating waiting time in competitive location models: Formulations and heuristics," Economics Working Papers 1091, Department of Economics and Business, Universitat Pompeu Fabra.
    14. Current, John & Ratick, Samuel & ReVelle, Charles, 1998. "Dynamic facility location when the total number of facilities is uncertain: A decision analysis approach," European Journal of Operational Research, Elsevier, vol. 110(3), pages 597-609, November.
    15. Francisco Silva & Daniel Serra, 2007. "Incorporating Waiting Time in Competitive Location Models," Networks and Spatial Economics, Springer, vol. 7(1), pages 63-76, March.
    16. 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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