IDEAS home Printed from https://ideas.repec.org/a/eee/soceps/v43y2009i2p92-101.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0038-0121(08)00019-0
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Narula, Subhash C., 1984. "Hierarchical location-allocation problems: A classification scheme," European Journal of Operational Research, Elsevier, vol. 15(1), pages 93-99, January.
    7. George C. Moore & Charles ReVelle, 1982. "The Hierarchical Service Location Problem," Management Science, INFORMS, vol. 28(7), pages 775-780, July.
    8. 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.
    9. 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.
    10. 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.
    11. Alderman, Harold & Garcia, Marito, 1993. "Poverty, household food security, and nutrition in rural Pakistan:," Research reports 96, International Food Policy Research Institute (IFPRI).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Vahid Hajipour & Parviz Fattahi & Hasan Bagheri & Samaneh Babaei Morad, 2022. "Dynamic maximal covering location problem for fire stations under uncertainty: soft-computing approaches," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(1), pages 90-112, February.
    2. Mendoza-Gómez, Rodolfo & Ríos-Mercado, Roger Z., 2022. "Regionalization of primary health care units with multi-institutional collaboration," Socio-Economic Planning Sciences, Elsevier, vol. 83(C).
    3. Blanco, Víctor & Gázquez, Ricardo & Saldanha-da-Gama, Francisco, 2023. "Multi-type maximal covering location problems: Hybridizing discrete and continuous problems," European Journal of Operational Research, Elsevier, vol. 307(3), pages 1040-1054.
    4. Karakaya, Şakir & Meral, Sedef, 2022. "A biobjective hierarchical location-allocation approach for the regionalization of maternal-neonatal care," Socio-Economic Planning Sciences, Elsevier, vol. 79(C).
    5. Kelley, Jason & Kuby, Michael & Sierra, Rodrigo, 2013. "Transportation network optimization for the movement of indigenous goods in Amazonian Ecuador," Journal of Transport Geography, Elsevier, vol. 28(C), pages 89-100.
    6. Jing Yao & Alan T. Murray, 2014. "Locational Effectiveness of Clinics Providing Sexual and Reproductive Health Services to Women in Rural Mozambique," International Regional Science Review, , vol. 37(2), pages 172-193, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jing Yao & Alan T. Murray, 2014. "Locational Effectiveness of Clinics Providing Sexual and Reproductive Health Services to Women in Rural Mozambique," International Regional Science Review, , vol. 37(2), pages 172-193, April.
    2. Galvao, Roberto D. & Acosta Espejo, Luis Gonzalo & Boffey, Brian, 2002. "A hierarchical model for the location of perinatal facilities in the municipality of Rio de Janeiro," European Journal of Operational Research, Elsevier, vol. 138(3), pages 495-517, May.
    3. Alan T. Murray, 2016. "Maximal Coverage Location Problem," International Regional Science Review, , vol. 39(1), pages 5-27, January.
    4. 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.
    5. Mohammadi, M. & Dehbari, S. & Vahdani, Behnam, 2014. "Design of a bi-objective reliable healthcare network with finite capacity queue under service covering uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 72(C), pages 15-41.
    6. Kelley, Jason & Kuby, Michael & Sierra, Rodrigo, 2013. "Transportation network optimization for the movement of indigenous goods in Amazonian Ecuador," Journal of Transport Geography, Elsevier, vol. 28(C), pages 89-100.
    7. ReVelle, C. S. & Eiselt, H. A., 2005. "Location analysis: A synthesis and survey," European Journal of Operational Research, Elsevier, vol. 165(1), pages 1-19, August.
    8. Honora Smith & Daniel Cakebread & Maria Battarra & Ben Shelbourne & Naseem Cassim & Lindi Coetzee, 2017. "Location of a hierarchy of HIV/AIDS test laboratories in an inbound hub network: case study in South Africa," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(9), pages 1068-1081, September.
    9. Mestre, Ana Maria & Oliveira, Mónica Duarte & Barbosa-Póvoa, Ana Paula, 2015. "Location–allocation approaches for hospital network planning under uncertainty," European Journal of Operational Research, Elsevier, vol. 240(3), pages 791-806.
    10. Murawski, Lisa & Church, Richard L., 2009. "Improving accessibility to rural health services: The maximal covering network improvement problem," Socio-Economic Planning Sciences, Elsevier, vol. 43(2), pages 102-110, June.
    11. Jiwon Baik & Alan T. Murray, 2022. "Locating a facility to simultaneously address access and coverage goals," Papers in Regional Science, Wiley Blackwell, vol. 101(5), pages 1199-1217, October.
    12. Kuby, Michael & Lim, Seow, 2005. "The flow-refueling location problem for alternative-fuel vehicles," Socio-Economic Planning Sciences, Elsevier, vol. 39(2), pages 125-145, June.
    13. Mohammad Yavari & Mohammad Mousavi-Saleh, 2021. "Restructuring hierarchical capacitated facility location problem with extended coverage radius under uncertainty," Operational Research, Springer, vol. 21(1), pages 91-138, March.
    14. Widener, Michael J. & Horner, Mark W., 2011. "A hierarchical approach to modeling hurricane disaster relief goods distribution," Journal of Transport Geography, Elsevier, vol. 19(4), pages 821-828.
    15. Guerriero, Francesca & Miglionico, Giovanna & Olivito, Filomena, 2016. "Location and reorganization problems: The Calabrian health care system case," European Journal of Operational Research, Elsevier, vol. 250(3), pages 939-954.
    16. Ioannis Giannikos, 2010. "Fuzzy goal programming models for analyzing demand coverage," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 18(1), pages 185-202, July.
    17. Areej Alhothali & Budoor Alwated & Kamil Faisal & Sultanah Alshammari & Reem Alotaibi & Nusaybah Alghanmi & Omaimah Bamasag & Manal Bin Yamin, 2022. "Location-Allocation Model to Improve the Distribution of COVID-19 Vaccine Centers in Jeddah City, Saudi Arabia," IJERPH, MDPI, vol. 19(14), pages 1-21, July.
    18. Soo-Haeng Cho & Hoon Jang & Taesik Lee & John Turner, 2014. "Simultaneous Location of Trauma Centers and Helicopters for Emergency Medical Service Planning," Operations Research, INFORMS, vol. 62(4), pages 751-771, August.
    19. Muren, & Li, Hao & Mukhopadhyay, Samar K. & Wu, Jian-jun & Zhou, Li & Du, Zhiping, 2020. "Balanced maximal covering location problem and its application in bike-sharing," International Journal of Production Economics, Elsevier, vol. 223(C).
    20. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:soceps:v:43:y:2009:i:2:p:92-101. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/seps .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.