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A Generalized Approach To Modeling The Hierarchical Maximal Covering Location Problem With Referral

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  • Ross A. Gerrard
  • Richard L. Church

Abstract

ABSTRACT Several investigators have developed hierarchically structured maximal covering location problems, especially for hierarchies with two levels such as clinics and hospitals: Moore and ReVelle developed and applied a hierarchical covering model to a medical service delivery problem in Houduras; and Church and Falon developed two alternate model forms of hierarchical covering that were applied to a medical services planning, problem in Colombia. In this paper, we proposed a hybrid formulation that encompasses all three of these previous models and which allows for the trade‐off of up of four different objectives. This new model formulation is also an improvement in that it has a significantly more efficient and compact structure, even while encompassing a more complete location problem, of which the three previous works are special cases. Example solutions are given for two different data sels involving regions in Colombia and Uganda. In addition, two further model formulations of a closely related nature are presented without computational results.

Suggested Citation

  • Ross A. Gerrard & Richard L. Church, 1994. "A Generalized Approach To Modeling The Hierarchical Maximal Covering Location Problem With Referral," Papers in Regional Science, Wiley Blackwell, vol. 73(4), pages 425-453, October.
    • Handle: RePEc:bla:presci:v:73:y:1994:i:4:p:425-453
    DOI: 10.1111/j.1435-5597.1994.tb00623.x
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    Cited by:

    1. Ratick, Samuel J. & Osleeb, Jeffrey P. & Hozumi, Dai, 2009. "Application and extension of the Moore and ReVelle Hierarchical Maximal Covering Model," Socio-Economic Planning Sciences, Elsevier, vol. 43(2), pages 92-101, June.
    2. Marianov, Vladimir & Serra, Daniel, 2001. "Hierarchical location-allocation models for congested systems," European Journal of Operational Research, Elsevier, vol. 135(1), pages 195-208, November.
    3. Boffey, Brian & Galvao, Roberto & Espejo, Luis, 2007. "A review of congestion models in the location of facilities with immobile servers," European Journal of Operational Research, Elsevier, vol. 178(3), pages 643-662, May.
    4. B Boffey & D Yates & R D Galvão, 2003. "An algorithm to locate perinatal facilities in the municipality of Rio de Janeiro," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(1), pages 21-31, January.
    5. Galvao, Roberto D. & Acosta Espejo, Luis Gonzalo & Boffey, Brian & Yates, Derek, 2006. "Load balancing and capacity constraints in a hierarchical location model," European Journal of Operational Research, Elsevier, vol. 172(2), pages 631-646, July.

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