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Application and extension of the Moore and ReVelle Hierarchical Maximal Covering Model

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  • Ratick, Samuel J.
  • Osleeb, Jeffrey P.
  • Hozumi, Dai

Abstract

In a paper published in Management Science in 1982, George Moore and Charles ReVelle proposed a location model for siting a hierarchical system of medical facilities. In this paper we apply the Moore and ReVelle Hierarchical Maximal Covering Model to the location of medical facilities in the Kohat district in Pakistan. Optimal solutions of the Moore and ReVelle model are compared against the actual location of medical facilities in this district. We then extend the Moore and ReVelle formulation to include fixed and variable costs for siting and operating the facilities. We compare the solutions of that formulation with the results of the original Moore and ReVelle model.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:soceps:v:43:y:2009:i:2:p:92-101
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    References listed on IDEAS

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    1. Constantine Toregas & Ralph Swain & Charles ReVelle & Lawrence Bergman, 1971. "The Location of Emergency Service Facilities," Operations Research, INFORMS, vol. 19(6), pages 1363-1373, October.
    2. Hasan Pirkul & David A. Schilling, 1991. "The Maximal Covering Location Problem with Capacities on Total Workload," Management Science, INFORMS, vol. 37(2), pages 233-248, February.
    3. Oppong, Joseph R., 1996. "Accommodating the rainy season in Third World location-allocation applications," Socio-Economic Planning Sciences, Elsevier, vol. 30(2), pages 121-137, June.
    4. George C. Moore & Charles ReVelle, 1982. "The Hierarchical Service Location Problem," Management Science, INFORMS, vol. 28(7), pages 775-780, July.
    5. 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.
    6. Alderman, Harold & Garcia, Marito, 1993. "Poverty, household food security, and nutrition in rural Pakistan:," Research reports 96, International Food Policy Research Institute (IFPRI).
    7. Gerard Rushton, 1984. "Use of Location-Allocation Models for Improving the Geographical Accessibility of Rural Services in Developing Countries," International Regional Science Review, , vol. 9(3), pages 217-240, December.
    8. Jeffrey P. Osleeb & Sara McLafferty, 1992. "A Weighted Covering Model To Aid In Dracunculiasis Eradication," Papers in Regional Science, Wiley Blackwell, vol. 71(3), pages 243-257, July.
    9. Narula, Subhash C., 1984. "Hierarchical location-allocation problems: A classification scheme," European Journal of Operational Research, Elsevier, vol. 15(1), pages 93-99, January.
    10. Bennett, Vivienne L. & Eaton, David J. & Church, Richard L., 1982. "Selecting sites for rural health workers," Social Science & Medicine, Elsevier, vol. 16(1), pages 63-72, January.
    11. S-U Rahman & D K Smith, 1999. "Deployment of rural health facilities in a developing country," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(9), pages 892-902, September.
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