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Hierarchical location-allocation models for congested systems

In this paper we address the issue of locating hierarchical facilities in the presence of congestion. Two hierarchical models are presented, where lower level servers attend requests first, and then, some of the served customers are referred to higher level servers. In the first model, the objective is to find the minimum number of servers and their locations that will cover a given region with a distance or time standard. The second model is cast as a Maximal Covering Location formulation. A heuristic procedure is then presented together with computational experience. Finally, some extensions of these models that address other types of spatial configurations are offered.

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Paper provided by Department of Economics and Business, Universitat Pompeu Fabra in its series Economics Working Papers with number 425.

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Date of creation: Jan 2000
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Handle: RePEc:upf:upfgen:425
Contact details of provider: Web page: http://www.econ.upf.edu/

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  1. Berman, Oded & Mandowsky, Ronald R., 1986. "Location-allocation on congested networks," European Journal of Operational Research, Elsevier, vol. 26(2), pages 238-250, August.
  2. Marianov, Vladimir & ReVelle, Charles, 1996. "The Queueing Maximal availability location problem: A model for the siting of emergency vehicles," European Journal of Operational Research, Elsevier, vol. 93(1), pages 110-120, August.
  3. 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.
  4. 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.
  5. ReVelle, Charles, 1993. "Facility siting and integer-friendly programming," European Journal of Operational Research, Elsevier, vol. 65(2), pages 147-158, March.
  6. Batta, Rajan, 1989. "A queueing-location model with expected service time dependent queueing disciplines," European Journal of Operational Research, Elsevier, vol. 39(2), pages 192-205, March.
  7. Daniel Serra, 1993. "The coherent covering location problem," Economics Working Papers 20, Department of Economics and Business, Universitat Pompeu Fabra.
  8. Serra, Daniel & Marianov, Vladimir & ReVelle, Charles, 1992. "The maximum-capture hierarchical location problem," European Journal of Operational Research, Elsevier, vol. 62(3), pages 363-371, November.
  9. Marianov, Vladimir & Revelle, Charles, 1994. "The queuing probabilistic location set covering problem and some extensions," Socio-Economic Planning Sciences, Elsevier, vol. 28(3), pages 167-178.
  10. Daniel Serra & Charles Revelle, 1992. "The PQ-Median problem: Location and districting of hierarchical facilities. Part II: Heuristic solution methods," Economics Working Papers 13, Department of Economics and Business, Universitat Pompeu Fabra.
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