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Maximum Dynamic FlowLoc with Intermediate Storage: A Temporally Repeated Approach

Author

Listed:
  • Sachin Wagle

    (Tribhuvan University)

  • Durga Prasad Khanal

    (Tribhuvan University)

  • Urmila Pyakurel

    (Tribhuvan University)

  • Stephan Dempe

    (TU Bergakademie)

  • Tanka Nath Dhamala

    (Tribhuvan University)

Abstract

The location-allocation of facilities in appropriate arcs is crucial in evacuation planning to provide basic needs to evacuees during the disaster. Locating a facility on an arc may decrease the optimal flow value. Also, because of the minimum cut capacity, all flows out from the source may not reach the sink. So the excess flow storage at intermediate nodes is considered in disaster scenarios. Similarly, for the two-way network, an optimal flow can be improved by contraflow configuration. In this paper, the maximum dynamic FlowLoc, the ContraFlowLoc, and the earliest arrival FlowLoc problems with intermediate storage are introduced and solved polynomially by using temporally repeated flows. We illustrate a case study of Kathmandu’s real network for the single facility maximum dynamic FlowLoc problem.

Suggested Citation

  • Sachin Wagle & Durga Prasad Khanal & Urmila Pyakurel & Stephan Dempe & Tanka Nath Dhamala, 2025. "Maximum Dynamic FlowLoc with Intermediate Storage: A Temporally Repeated Approach," SN Operations Research Forum, Springer, vol. 6(1), pages 1-20, March.
    • Handle: RePEc:spr:snopef:v:6:y:2025:i:1:d:10.1007_s43069-024-00410-z
    DOI: 10.1007/s43069-024-00410-z
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    References listed on IDEAS

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    1. Hari Nandan Nath & Urmila Pyakurel & Tanka Nath Dhamala & Fernando Bobillo, 2021. "Network Reconfiguration with Orientation-Dependent Transit Times," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2021, pages 1-11, March.
    2. Urmila Pyakurel & Stephan Dempe, 2020. "Network Flow with Intermediate Storage: Models and Algorithms," SN Operations Research Forum, Springer, vol. 1(4), pages 1-23, December.
    3. Edward Minieka, 1973. "Maximal, Lexicographic, and Dynamic Network Flows," Operations Research, INFORMS, vol. 21(2), pages 517-527, April.
    4. Horst Hamacher & Stephanie Heller & Benjamin Rupp, 2013. "Flow location (FlowLoc) problems: dynamic network flows and location models for evacuation planning," Annals of Operations Research, Springer, vol. 207(1), pages 161-180, August.
    5. W. L. Wilkinson, 1971. "An Algorithm for Universal Maximal Dynamic Flows in a Network," Operations Research, INFORMS, vol. 19(7), pages 1602-1612, December.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    FlowLoc; ContraFlowLoc; Dynamic flows; Intermediate storage; Temporally repeated flow;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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