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Providing a model for the issue of multi-period ambulance location

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  • Hamed Kazemipoor
  • Mohammad Ebrahim Sadeghi
  • Agnieszka Szmelter-Jarosz
  • Mohadese Aghabozorgi

Abstract

In this study, two mathematical models have been developed for assigning emergency vehicles, namely ambulances, to geographical areas. The first model, which is based on the assignment problem, the ambulance transfer (moving ambulances) between locations has not been considered. As ambulance transfer can improve system efficiency by decreasing the response time as well as operational cost, we consider this in the second model, which is based on the transportation problem. Both models assume that the demand of all geographical locations must be met. The major contributions of this study are: ambulance transfer between locations, day split into several time slots, and demand distribution of the geographical zone. To the best of our knowledge the first two have not been studied before. These extensions allow us to have a more realistic model of the real-world operation. Although, in previous studies, maximizing coverage has been the main objective of the goal, here, minimizing operating costs is a function of the main objective, because we have assumed that the demand of all geographical areas must be met.

Suggested Citation

  • Hamed Kazemipoor & Mohammad Ebrahim Sadeghi & Agnieszka Szmelter-Jarosz & Mohadese Aghabozorgi, 2022. "Providing a model for the issue of multi-period ambulance location," Papers 2206.11811, arXiv.org.
  • Handle: RePEc:arx:papers:2206.11811
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    References listed on IDEAS

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    1. M Gendreau & G Laporte & F Semet, 2006. "The maximal expected coverage relocation problem for emergency vehicles," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(1), pages 22-28, January.
    2. Mohamad Ebrahim Sadeghi & Morteza Khodabakhsh & Mahmood Reza Ganjipoor & Hamed Kazemipoor & Hamed Nozari, 2021. "A New Multi Objective Mathematical Model for Relief Distribution Location at Natural Disaster Response Phase," Papers 2108.05458, arXiv.org.
    3. Zied Jemai & L. Aboueljinane & E. Sahin, 2013. "A review on simulation models applied to emergency medical service operations," Post-Print hal-01672393, HAL.
    4. Oded Berman & Iman Hajizadeh & Dmitry Krass, 2013. "The maximum covering problem with travel time uncertainty," IISE Transactions, Taylor & Francis Journals, vol. 45(1), pages 81-96.
    5. Laura McLay & Maria Mayorga, 2013. "A model for optimally dispatching ambulances to emergency calls with classification errors in patient priorities," IISE Transactions, Taylor & Francis Journals, vol. 45(1), pages 1-24.
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