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Bicriteria efficiency/equity hierarchical location models for public service application

Author

Listed:
  • H K Smith

    (University of Southampton, Southampton, UK)

  • P R Harper

    (Cardiff University, Cardiff, UK)

  • C N Potts

    (University of Southampton, Southampton, UK)

Abstract

As is often the case in healthcare provision, public services may offer facilities at a hierarchy of levels in different locations, ranging from basic to specialised levels of care. In addition to efficiency objectives, with public services there is the concern of equity of provision when locating new facilities. We present, as a tool-kit for decision makers, a range of discrete hierarchical location models with bicriteria efficiency/equity objectives. These models are for use in location of facilities within hierarchical systems where a fair but efficient hierarchical service is sought. The hierarchical models have as efficiency criteria both p-median and maximal-covering types. These components are combined in a novel manner with appropriate equity objectives to give decision makers a range of choices of scenarios. We illustrate use of the models in a healthcare setting.

Suggested Citation

  • H K Smith & P R Harper & C N Potts, 2013. "Bicriteria efficiency/equity hierarchical location models for public service application," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(4), pages 500-512, April.
    • Handle: RePEc:pal:jorsoc:v:64:y:2013:i:4:p:500-512
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    Cited by:

    1. Özlem Karsu & Hale Erkan, 2020. "Balance in resource allocation problems: a changing reference approach," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(1), pages 297-326, March.
    2. B. L. Garcia & R. Bekker & R. D. Mei & N. H. Chavannes & N. D. Kruyt, 2021. "Optimal patient protocols in regional acute stroke care," Health Care Management Science, Springer, vol. 24(3), pages 515-530, September.
    3. Sinem Savaşer & Ömer Burak Kınay & Bahar Yetis Kara & Pelin Cay, 2019. "Organ transplantation logistics: a case for Turkey," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(2), pages 327-356, June.
    4. Karsu, Özlem & Morton, Alec, 2015. "Inequity averse optimization in operational research," European Journal of Operational Research, Elsevier, vol. 245(2), pages 343-359.
    5. Zhou, Liping & Geng, Na & Jiang, Zhibin & Wang, Xiuxian, 2018. "Multi-objective capacity allocation of hospital wards combining revenue and equity," Omega, Elsevier, vol. 81(C), pages 220-233.
    6. S. Khodaparasti & H. R. Maleki & S. Jahedi & M. E. Bruni & P. Beraldi, 2017. "Enhancing community based health programs in Iran: a multi-objective location-allocation model," Health Care Management Science, Springer, vol. 20(4), pages 485-499, December.
    7. Erwin J. Delgado & Xavier Cabezas & Carlos Martin-Barreiro & Víctor Leiva & Fernando Rojas, 2022. "An Equity-Based Optimization Model to Solve the Location Problem for Healthcare Centers Applied to Hospital Beds and COVID-19 Vaccination," Mathematics, MDPI, vol. 10(11), pages 1-24, May.
    8. 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).
    9. Zhi Qiu & Yue Wang & Lei Bao & Binwei Yun & Ji Lu, 2022. "Sustainability of Chinese Village Development in a New Perspective: Planning Principle of Rural Public Service Facilities Based on “Function-Space” Synergistic Mechanism," Sustainability, MDPI, vol. 14(14), pages 1-27, July.
    10. Gutjahr, Walter J. & Fischer, Sophie, 2018. "Equity and deprivation costs in humanitarian logistics," European Journal of Operational Research, Elsevier, vol. 270(1), pages 185-197.
    11. 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.
    12. Graber-Naidich, Anna & Carter, Michael W. & Verter, Vedat, 2017. "Restructuring the resident training system for improving the equity of access to primary care," European Journal of Operational Research, Elsevier, vol. 258(3), pages 1143-1155.
    13. Bruno, Giuseppe & Cavola, Manuel & Diglio, Antonio & Piccolo, Carmela, 2020. "Improving spatial accessibility to regional health systems through facility capacity management," Socio-Economic Planning Sciences, Elsevier, vol. 71(C).
    14. Barbati, Maria & Corrente, Salvatore & Greco, Salvatore, 2020. "A general space-time model for combinatorial optimization problems (and not only)," Omega, Elsevier, vol. 96(C).
    15. 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).
    16. Kargar, Bahareh & Pishvaee, Mir Saman & Jahani, Hamed & Sheu, Jiuh-Biing, 2020. "Organ transportation and allocation problem under medical uncertainty: A real case study of liver transplantation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 134(C).
    17. 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.

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