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Decision support for hospital evacuation and emergency response

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  • Douglas Bish
  • Esra Agca
  • Roger Glick

Abstract

Evacuation planning is an important part of a hospital’s emergency management plan. In an evacuation the safety and health of patients is the fundamental success parameter. Thus, in this paper we introduce an evacuation model, appropriate for planning and operations, that has the objective of minimizing expected risk, both the threat risk that is forcing the evacuation, and the risk inherent in transporting patients, some in critical condition. Specifically, we study the allocation of patients, categorized by criticality and care requirements, to a limited fleet of vehicles of various capacities and medical capabilities, to be transported to appropriate receiving hospitals considering the current available space in each hospital for each category of patient. The model is an integer program, where the non-linear expected risks are calculated a-priori. This model has a structure that has excellent solution characteristics that permit us to solve large problems in a reasonable time, enabling the model to potentially be used for both planning and operations. To illustrate the solvability of this model and demonstrate its characteristics, we apply it to a realistic case study based on the evacuation of a large regional hospital. Copyright Springer Science+Business Media, LLC 2014

Suggested Citation

  • Douglas Bish & Esra Agca & Roger Glick, 2014. "Decision support for hospital evacuation and emergency response," Annals of Operations Research, Springer, vol. 221(1), pages 89-106, October.
    • Handle: RePEc:spr:annopr:v:221:y:2014:i:1:p:89-106:10.1007/s10479-011-0943-y
    DOI: 10.1007/s10479-011-0943-y
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    References listed on IDEAS

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    1. H. W. Hamacher & S. Tufekci, 1987. "On the use of lexicographic min cost flows in evacuation modeling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(4), pages 487-503, August.
    2. Choi, W. & Hamacher, H. W. & Tufekci, S., 1988. "Modeling of building evacuation problems by network flows with side constraints," European Journal of Operational Research, Elsevier, vol. 35(1), pages 98-110, April.
    3. Lichun Chen & Elise Miller‐Hooks, 2008. "The building evacuation problem with shared information," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(4), pages 363-376, June.
    4. John J. Jarvis & H. Donald Ratliff, 1982. "Note---Some Equivalent Objectives for Dynamic Network Flow Problems," Management Science, INFORMS, vol. 28(1), pages 106-109, January.
    5. L. G. Chalmet & R. L. Francis & P. B. Saunders, 1982. "Network Models for Building Evacuation," Management Science, INFORMS, vol. 28(1), pages 86-105, January.
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    Cited by:

    1. Abdelahad Chraibi & Ibrahim H. Osman & Said Kharraja, 2019. "Adaptive layout for operating theatre in hospitals: different mathematical models for optimal layouts," Annals of Operations Research, Springer, vol. 272(1), pages 493-527, January.
    2. Jimoh Eniola Olaogbebikan & Richard Oloruntoba, 2019. "Similarities between disaster supply chains and commercial supply chains: a SCM process view," Annals of Operations Research, Springer, vol. 283(1), pages 517-542, December.
    3. Rambha, Tarun & Nozick, Linda K. & Davidson, Rachel & Yi, Wenqi & Yang, Kun, 2021. "A stochastic optimization model for staged hospital evacuation during hurricanes," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 151(C).
    4. Deepa Mishra & Sameer Kumar & Elkafi Hassini, 2019. "Current trends in disaster management simulation modelling research," Annals of Operations Research, Springer, vol. 283(1), pages 1387-1411, December.
    5. Jens Poppenborg & Sigrid Knust, 2016. "Modeling and optimizing the evacuation of hospitals based on the MRCPSP with resource transfers," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 4(3), pages 349-380, September.
    6. Reza Faturechi & Shabtai Isaac & Elise Miller-Hooks & Lei Feng, 2018. "Risk-based models for emergency shelter and exit design in buildings," Annals of Operations Research, Springer, vol. 262(1), pages 185-212, March.
    7. Yongjoo Kim & Dongin Park & Soobin Kim & Dongho Rie, 2023. "A Study on the Quantitative Fire Performance Evaluation Method of Building Finishing Materials with a Focus on Medical Facilities," Sustainability, MDPI, vol. 15(12), pages 1-19, June.
    8. Zonghao Hou & Juan Zhang & Mingyuan Zhang & Gang Li, 2023. "Hospital-system functionality quantification based on supply–demand relationship under earthquake," 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. 116(1), pages 213-234, March.
    9. Shahriar Akter & Samuel Fosso Wamba, 2019. "Big data and disaster management: a systematic review and agenda for future research," Annals of Operations Research, Springer, vol. 283(1), pages 939-959, December.
    10. Hasti Seraji & Reza Tavakkoli-Moghaddam & Sobhan Asian & Harpreet Kaur, 2022. "An integrative location-allocation model for humanitarian logistics with distributive injustice and dissatisfaction under uncertainty," Annals of Operations Research, Springer, vol. 319(1), pages 211-257, December.

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