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Universal Maximum Flow with Intermediate Storage for Evacuation Planning

In: Dynamics of Disasters

Author

Listed:
  • Urmila Pyakurel

    (Tribhuvan University)

  • Stephan Dempe

    (TU Bergakademie Freiberg)

Abstract

The evacuation planning problem models the process of shifting residents from emergency areas (sources) to safe places (sinks) as quickly and efficiently as possible. Most of the flow over time models used in the evacuation planning are based on the flow conservation constraints, i.e., the inflow should be equal to the outflow on each node except at the sources and sinks. We investigate the universal maximum flow problem with intermediate storage, i.e., the inflow may be greater than the outflow on intermediate nodes which maximizes the number of evacuees leaving the emergency areas at each point of time. We propose efficient algorithms to solve the problem on two-terminal series-parallel and general networks. We also discuss the solution technique for the problem with arc reversal capability and compare these solutions without and with intermediate storage.

Suggested Citation

  • Urmila Pyakurel & Stephan Dempe, 2021. "Universal Maximum Flow with Intermediate Storage for Evacuation Planning," Springer Optimization and Its Applications, in: Ilias S. Kotsireas & Anna Nagurney & Panos M. Pardalos & Arsenios Tsokas (ed.), Dynamics of Disasters, pages 229-241, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-64973-9_14
    DOI: 10.1007/978-3-030-64973-9_14
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    Cited by:

    1. Durga Prasad Khanal & Urmila Pyakurel & Tanka Nath Dhamala & Stephan Dempe, 2022. "Efficient Algorithms for Abstract Flow with Partial Switching," SN Operations Research Forum, Springer, vol. 3(4), pages 1-17, December.
    2. 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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