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Scheduling and Routing for a Bus-Based Evacuation with a Constant Evacuee Arrival Rate

Author

Listed:
  • Victor C. Pereira

    (Grado Department of Industrial and Systems Engineering, Virginia Tech, Blacksburg, Virginia 24061)

  • Douglas R. Bish

    (Grado Department of Industrial and Systems Engineering, Virginia Tech, Blacksburg, Virginia 24061)

Abstract

This paper introduces a variant of the vehicle routing problem adapted for bus-based, regional evacuation planning, where evacuees arrive at predetermined pickup locations at constant, location-specific rates. This arrival process more realistically portrays evacuee arrival behavior, presenting an important distinction from the current transit-based evacuation literature. In this problem, capacity-constrained buses are routed, potentially multiple times, to transport all evacuees to a depot/shelter such that the last pickup, and the end of the arrival process, occurs at a location-specific time, determined by risk considerations. The problem seeks to minimize the total waiting time at these locations (total exposure) and exploits efficiencies by allowing service choice. The structural properties of this problem guide the choice for two important strategic parameters: the maximum number of pickups allowed on each location and the fleet size. It is shown that, depending on the problem instance, increasing the maximum number of pickups may reduce both the fleet size requirement and the total exposure and that, past a certain threshold, there exists a maximum number of pickups (or a range of potential values, if the problem cannot be solved to optimality) that guarantees an efficient usage of the available fleet and equitable reductions in exposure across pickup locations.

Suggested Citation

  • Victor C. Pereira & Douglas R. Bish, 2015. "Scheduling and Routing for a Bus-Based Evacuation with a Constant Evacuee Arrival Rate," Transportation Science, INFORMS, vol. 49(4), pages 853-867, November.
    • Handle: RePEc:inm:ortrsc:v:49:y:2015:i:4:p:853-867
    DOI: 10.1287/trsc.2014.0555
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    References listed on IDEAS

    as
    1. Peter Francis & Karen Smilowitz & Michal Tzur, 2006. "The Period Vehicle Routing Problem with Service Choice," Transportation Science, INFORMS, vol. 40(4), pages 439-454, November.
    2. André Puong & Nigel H. M. Wilson, 2008. "A Train Holding Model for Urban Rail Transit Systems," Lecture Notes in Economics and Mathematical Systems, in: Mark Hickman & Pitu Mirchandani & Stefan Voß (ed.), Computer-aided Systems in Public Transport, pages 319-337, Springer.
    3. Jean-Francois Cordeau & Gilbert Laporte, 2006. "Modeling and Optimization of Vehicle Routing and Arc Routing Problems," International Series in Operations Research & Management Science, in: Gautam Appa & Leonidas Pitsoulis & H. Paul Williams (ed.), Handbook on Modelling for Discrete Optimization, chapter 0, pages 151-191, Springer.
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    Citations

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    Cited by:

    1. Lehilton L. C. Pedrosa & Rafael C. S. Schouery, 2018. "Approximation algorithms for the bus evacuation problem," Journal of Combinatorial Optimization, Springer, vol. 36(1), pages 131-141, July.
    2. Swamy, Rahul & Kang, Jee Eun & Batta, Rajan & Chung, Younshik, 2017. "Hurricane evacuation planning using public transportation," Socio-Economic Planning Sciences, Elsevier, vol. 59(C), pages 43-55.
    3. Wang, Qingyi & Wallace, Stein W., 2022. "Non-compliance in transit-based evacuation pick-up point assignments," Socio-Economic Planning Sciences, Elsevier, vol. 82(PB).
    4. Wang, Yan & Wang, Junwei, 2019. "Integrated reconfiguration of both supply and demand for evacuation planning," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 130(C), pages 82-94.
    5. Yuanyuan Feng & Yi Cao & Shuanghua Yang & Lili Yang & Tangjian Wei, 2023. "A two-step sub-optimal algorithm for bus evacuation planning," Operational Research, Springer, vol. 23(2), pages 1-35, June.
    6. Bo Chen & Zhicheng Li & Zaiyue Yang, 2022. "Nuclear Accident Emergency Response System: Radiation Field Estimation and Evacuation," Sustainability, MDPI, vol. 14(9), pages 1-18, May.
    7. Krutein, Klaas Fiete & Goodchild, Anne, 2022. "The isolated community evacuation problem with mixed integer programming," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 161(C).
    8. Zhao, Xing & Ji, Kang & Xu, Peng & Qian, Wen-wen & Ren, Gang & Shan, Xiao-nian, 2020. "A round-trip bus evacuation model with scheduling and routing planning," Transportation Research Part A: Policy and Practice, Elsevier, vol. 137(C), pages 285-300.

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