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Optimizing locations through a maximum covering/p-median hierarchical model: Maternity hospitals in France

Author

Listed:
  • Jérôme Baray

    (IRG - Institut de Recherche en Gestion - UPEM - Université Paris-Est Marne-la-Vallée - UPEC UP12 - Université Paris-Est Créteil Val-de-Marne - Paris 12)

  • Gérard Cliquet

    (CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR - Université de Rennes - CNRS - Centre National de la Recherche Scientifique)

Abstract

This article presents a hierarchical location-allocation model that combines a maximum covering model and p-center models. The objective herein is to adapt the spatial distribution of supply to various levels of demand. The model resolution step relies both on the myopic and Lagrangian relaxation algorithms and on an empirical study to optimize locations of the three levels of maternity hospitals found in France. Results show that 100 major sites cover 80% of the demand. If these models are able to maximize perinatal care accessibility, then they would choose, from among the best locations, the most centralized places for level 2 and 3 maternity hospitals, which correspond to higher premature birth risks and pathological pregnancies.

Suggested Citation

  • Jérôme Baray & Gérard Cliquet, 2013. "Optimizing locations through a maximum covering/p-median hierarchical model: Maternity hospitals in France," Post-Print halshs-00768004, HAL.
    • Handle: RePEc:hal:journl:halshs-00768004
    DOI: 10.1016/j.jbusres.2012.09.003
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    Citations

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    Cited by:

    1. Jang, Hoon & Lee, Jun-Ho, 2019. "A hierarchical location model for determining capacities of neonatal intensive care units in Korea," Socio-Economic Planning Sciences, Elsevier, vol. 68(C).
    2. Wei Zhong & Zhicai Juan & Fang Zong & Huishuang Su, 2018. "Hierarchical hub location model and hybrid algorithm for integration of urban and rural public transport," International Journal of Distributed Sensor Networks, , vol. 14(4), pages 15501477187, April.
    3. 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.
    4. Zarrinpoor, Naeme & Fallahnezhad, Mohammad Saber & Pishvaee, Mir Saman, 2018. "The design of a reliable and robust hierarchical health service network using an accelerated Benders decomposition algorithm," European Journal of Operational Research, Elsevier, vol. 265(3), pages 1013-1032.
    5. Elorza, María Eugenia & Moscoso, Nebel Silvana & Blanco, Anibal Manuel, 2022. "Assessing performance in health care: A mathematical programming approach for the re-design of primary health care networks," Socio-Economic Planning Sciences, Elsevier, vol. 84(C).
    6. Zhengna Song & Tinggan Yan & Yunjian Ge, 2018. "Spatial Equilibrium Allocation of Urban Large Public General Hospitals Based on the Welfare Maximization Principle: A Case Study of Nanjing, China," Sustainability, MDPI, vol. 10(9), pages 1-23, August.
    7. Vatsa, Amit Kumar & Jayaswal, Sachin, 2016. "A new formulation and Benders decomposition for the multi-period maximal covering facility location problem with server uncertainty," European Journal of Operational Research, Elsevier, vol. 251(2), pages 404-418.
    8. Hoon Jang, 2019. "Designing capacity rollout plan for neonatal care service system in Korea," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(3), pages 809-830, September.
    9. Ketelhöhn, Niels & Sanz, Luis, 2016. "Healthcare management priorities in Latin America: Framework and responses," Journal of Business Research, Elsevier, vol. 69(9), pages 3835-3838.
    10. 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.
    11. 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).

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