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A maximum expected covering location model with two types of servers

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  • Laura McLay

Abstract

Designing emergency medical service systems that improve patient outcomes is a problem of national concern. This paper introduces the Maximum Expected Coverage Location Problem with Two Types of Servers (MEXCLP2) for determining how to optimally locate and use medical units (such as ambulances) in order to improve patient survivability and to provide insight into how to optimally coordinate multiple types of medical units. In MEXCLP2, there are two types of servers (medical units), and there are dependencies between the types of servers and between servers of the same type. A Hypercube queuing model is developed to quantify these dependencies when servicing multiple types of customers (patients). MEXCLP2 is formulated as an integer programming model, and the results of the Hypercube model provide its input parameters. MEXCLP2 is applied to emergency medical service systems with two types of medical units (ambulances and non-transport vehicles). Results are illustrated using real-world data collected from Hanover County, Virginia.

Suggested Citation

  • Laura McLay, 2009. "A maximum expected covering location model with two types of servers," IISE Transactions, Taylor & Francis Journals, vol. 41(8), pages 730-741.
    • Handle: RePEc:taf:uiiexx:v:41:y:2009:i:8:p:730-741
    DOI: 10.1080/07408170802702138
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    Cited by:

    1. Bélanger, V. & Ruiz, A. & Soriano, P., 2019. "Recent optimization models and trends in location, relocation, and dispatching of emergency medical vehicles," European Journal of Operational Research, Elsevier, vol. 272(1), pages 1-23.
    2. Kenneth C. Chong & Shane G. Henderson & Mark E. Lewis, 2016. "The Vehicle Mix Decision in Emergency Medical Service Systems," Manufacturing & Service Operations Management, INFORMS, vol. 18(3), pages 347-360, July.
    3. Zhi-Hai Zhang & Kang Li, 2015. "A novel probabilistic formulation for locating and sizing emergency medical service stations," Annals of Operations Research, Springer, vol. 229(1), pages 813-835, June.
    4. Sondes Hammami & Aida Jebali, 2021. "Designing modular capacitated emergency medical service using information on ambulance trip," Operational Research, Springer, vol. 21(3), pages 1723-1742, September.
    5. Ibrahim Çapar & Sharif H Melouk & Burcu B Keskin, 2017. "Alternative metrics to measure EMS system performance," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(7), pages 792-808, July.
    6. João António Zeferino, 2020. "Optimizing the location of aerial resources to combat wildfires: a case study of Portugal," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 100(3), pages 1195-1213, February.
    7. Zhang, Sizhe & Cardin, Michel-Alexandre, 2017. "Flexibility and real options analysis in emergency medical services systems using decision rules and multi-stage stochastic programming," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 107(C), pages 120-140.
    8. L’udmila Jánošíková & Peter Jankovič & Marek Kvet & Gaston Ivanov & Jakub Holod & Imrich Berta, 2022. "Reorganization of an Emergency Medical System in a Mixed Urban-Rural Area," IJERPH, MDPI, vol. 19(19), pages 1-17, September.
    9. Xueping Li & Zhaoxia Zhao & Xiaoyan Zhu & Tami Wyatt, 2011. "Covering models and optimization techniques for emergency response facility location and planning: a review," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 74(3), pages 281-310, December.
    10. Pieter L van den Berg & Peter Fiskerstrand & Karen Aardal & Jørgen Einerkjær & Trond Thoresen & Jo Røislien, 2019. "Improving ambulance coverage in a mixed urban-rural region in Norway using mathematical modeling," PLOS ONE, Public Library of Science, vol. 14(4), pages 1-14, April.
    11. Nelas, José & Dias, Joana, 2020. "Optimal Emergency Vehicles Location: An approach considering the hierarchy and substitutability of resources," European Journal of Operational Research, Elsevier, vol. 287(2), pages 583-599.
    12. Soovin Yoon & Laura A. Albert, 2018. "An expected coverage model with a cutoff priority queue," Health Care Management Science, Springer, vol. 21(4), pages 517-533, December.
    13. Rania Boujemaa & Aida Jebali & Sondes Hammami & Angel Ruiz & Hanen Bouchriha, 2018. "A stochastic approach for designing two-tiered emergency medical service systems," Flexible Services and Manufacturing Journal, Springer, vol. 30(1), pages 123-152, June.
    14. Yoon, Soovin & Albert, Laura A., 2021. "Dynamic dispatch policies for emergency response with multiple types of vehicles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    15. Soovin Yoon & Laura A. Albert & Veronica M. White, 2021. "A Stochastic Programming Approach for Locating and Dispatching Two Types of Ambulances," Transportation Science, INFORMS, vol. 55(2), pages 275-296, March.
    16. Laura A. McLay & Henri Moore, 2012. "Hanover County Improves Its Response to Emergency Medical 911 Patients," Interfaces, INFORMS, vol. 42(4), pages 380-394, August.
    17. Yoon, Soovin & Albert, Laura A., 2020. "A dynamic ambulance routing model with multiple response," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 133(C).
    18. Wang, Wei & Wu, Shining & Wang, Shuaian & Zhen, Lu & Qu, Xiaobo, 2021. "Emergency facility location problems in logistics: Status and perspectives," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 154(C).
    19. Ansari, Sardar & Yoon, Soovin & Albert, Laura A., 2017. "An approximate hypercube model for public service systems with co-located servers and multiple response," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 103(C), pages 143-157.
    20. Shayesta Wajid & N. Nezamuddin, 2023. "Optimizing emergency services for road safety using a decomposition method: a case study of Delhi," OPSEARCH, Springer;Operational Research Society of India, vol. 60(1), pages 155-173, March.
    21. Heewon Chea & Hyun Kim & Shih-Lung Shaw & Yongwan Chun, 2022. "Assessing Trauma Center Accessibility for Healthcare Equity Using an Anti-Covering Approach," IJERPH, MDPI, vol. 19(3), pages 1-21, January.

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