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Planning for time-varying volunteer firefighter systems under probabilistic service disruptions

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  • Liu, Han
  • Hua, Cheng
  • Lei, Chao

Abstract

Volunteer firefighters have been incorporated alongside career firefighters to supplement the overall performance and flexibility of fire emergency response systems in many countries. However, volunteer firefighters are more likely to suffer from sub-optimal health conditions during missions than are full-time career firefighters. Thus, they are less reliable in providing consistent emergency response services over time. This paper addresses the time-varying planning problem for volunteer firefighter shifts while considering firefighter service disruptions. We first present a single-period hypercube queuing model for the volunteer service problem under probabilistic disruptions. Then, we propose a two-level volunteer planning model for the multi-period problem by including payments’ budgetary constraints and volunteer health consumption’s effect on service reliability. We validate the hypercube-based optimization model by using the Arena software under various disruption scenarios. Finally, we apply the proposed model to the fire service system in Tangxian, Hebei, China. The numerical results show that our approach provides a promising tool for improving fire emergency response systems’ performance in a time-varying setting.

Suggested Citation

  • Liu, Han & Hua, Cheng & Lei, Chao, 2021. "Planning for time-varying volunteer firefighter systems under probabilistic service disruptions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 154(C).
  • Handle: RePEc:eee:transe:v:154:y:2021:i:c:s1366554521002234
    DOI: 10.1016/j.tre.2021.102459
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    1. Richard C. Larson, 1975. "Approximating the Performance of Urban Emergency Service Systems," Operations Research, INFORMS, vol. 23(5), pages 845-868, October.
    2. Iannoni, Ana Paula & Chiyoshi, Fernando & Morabito, Reinaldo, 2015. "A spatially distributed queuing model considering dispatching policies with server reservation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 75(C), pages 49-66.
    3. Jonathan Halpern, 1977. "The Accuracy of Estimates for the Performance Criteria in Certain Emergency Service Queueing Systems," Transportation Science, INFORMS, vol. 11(3), pages 223-242, August.
    4. Tolga Çezik & Oktay Günlük & Hanan Luss, 2001. "An integer programming model for the weekly tour scheduling problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(7), pages 607-624, October.
    5. Boyacı, Burak & Geroliminis, Nikolas, 2015. "Approximation methods for large-scale spatial queueing systems," Transportation Research Part B: Methodological, Elsevier, vol. 74(C), pages 151-181.
    6. Iannoni, Ana Paula & Morabito, Reinaldo, 2007. "A multiple dispatch and partial backup hypercube queuing model to analyze emergency medical systems on highways," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(6), pages 755-771, November.
    7. Richard C. Larson & Keith A. Stevenson, 1972. "On Insensitivities in Urban Redistricting and Facility Location," Operations Research, INFORMS, vol. 20(3), pages 595-612, June.
    8. J. Pérez & S. Maldonado & V. Marianov, 2016. "A reconfiguration of fire station and fleet locations for the Santiago Fire Department," International Journal of Production Research, Taylor & Francis Journals, vol. 54(11), pages 3170-3186, June.
    9. Iannoni, Ana Paula & Morabito, Reinaldo & Saydam, Cem, 2011. "Optimizing large-scale emergency medical system operations on highways using the hypercube queuing model," Socio-Economic Planning Sciences, Elsevier, vol. 45(3), pages 105-117, September.
    10. Grace M. Carter & Jan M. Chaiken & Edward Ignall, 1972. "Response Areas for Two Emergency Units," Operations Research, INFORMS, vol. 20(3), pages 571-594, June.
    11. Geroliminis, Nikolas & Karlaftis, Matthew G. & Skabardonis, Alexander, 2009. "A spatial queuing model for the emergency vehicle districting and location problem," Transportation Research Part B: Methodological, Elsevier, vol. 43(7), pages 798-811, August.
    12. de Souza, Regiane Máximo & Morabito, Reinaldo & Chiyoshi, Fernando Y. & Iannoni, Ana Paula, 2015. "Incorporating priorities for waiting customers in the hypercube queuing model with application to an emergency medical service system in Brazil," European Journal of Operational Research, Elsevier, vol. 242(1), pages 274-285.
    13. Volland, Jonas & Fügener, Andreas & Brunner, Jens O., 2017. "A column generation approach for the integrated shift and task scheduling problem of logistics assistants in hospitals," European Journal of Operational Research, Elsevier, vol. 260(1), pages 316-334.
    14. Iannoni, Ana Paula & Morabito, Reinaldo & Saydam, Cem, 2009. "An optimization approach for ambulance location and the districting of the response segments on highways," European Journal of Operational Research, Elsevier, vol. 195(2), pages 528-542, June.
    15. Degel, Dirk & Wiesche, Lara & Rachuba, Sebastian & Werners, Brigitte, 2014. "Reorganizing an existing volunteer fire station network in Germany," Socio-Economic Planning Sciences, Elsevier, vol. 48(2), pages 149-157.
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