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The building evacuation problem with shared information

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  • Lichun Chen
  • Elise Miller‐Hooks

Abstract

In this article, the Building Evacuation Problem with Shared Information (BEPSI) is formulated as a mixed integer linear program, where the objective is to determine the set of routes along which to send evacuees (supply) from multiple locations throughout a building (sources) to the exits (sinks) such that the total time until all evacuees reach the exits is minimized. The formulation explicitly incorporates the constraints of shared information in providing online instructions to evacuees, ensuring that evacuees departing from an intermediate or source location at a mutual point in time receive common instructions. Arc travel time and capacity, as well as supply at the nodes, are permitted to vary with time and capacity is assumed to be recaptured over time. The BEPSI is shown to be NP‐hard. An exact technique based on Benders decomposition is proposed for its solution. Computational results from numerical experiments on a real‐world network representing a four‐story building are given. Results of experiments employing Benders cuts generated in solving a given problem instance as initial cuts in addressing an updated problem instance are also provided. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:55:y:2008:i:4:p:363-376
    DOI: 10.1002/nav.20288
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    Cited by:

    1. Urmila Pyakurel & Hari Nandan Nath & Stephan Dempe & Tanka Nath Dhamala, 2019. "Efficient Dynamic Flow Algorithms for Evacuation Planning Problems with Partial Lane Reversal," Mathematics, MDPI, vol. 7(10), pages 1-29, October.
    2. Fang, Zhixiang & Zong, Xinlu & Li, Qingquan & Li, Qiuping & Xiong, Shengwu, 2011. "Hierarchical multi-objective evacuation routing in stadium using ant colony optimization approach," Journal of Transport Geography, Elsevier, vol. 19(3), pages 443-451.
    3. 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.
    4. Pyakurel, Urmila & Khanal, Durga Prasad & Dhamala, Tanka Nath, 2023. "Abstract network flow with intermediate storage for evacuation planning," European Journal of Operational Research, Elsevier, vol. 305(3), pages 1178-1193.

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