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Continuous Dynamic Contraflow Approach for Evacuation Planning

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  • Urmila Pyakurel

    (Tribhuvan University)

  • Tanka Nath Dhamala

    (Tribhuvan University)

Abstract

The research in evacuation planning has been very much motivated due to the rapidly increased number of disasters world-wide. It is the process of shifting maximum number of evacuees from the disastrous areas to the safe destinations as quickly and efficiently as possible. The contraflow model allows the arc reversals that increase the outbound road capacities. In continuous time setting, the dynamic contraflow sends the maximum flow as a flow rate from the sources to the sinks in every moment of time unit. In this paper, we elaborate the mathematical model for the continuous dynamic contraflow problem. Moreover, we present computationally efficient algorithms to solve the different dynamic contraflow problems in continuous time model, for example, maximum dynamic, earliest arrival, lex-maximum dynamic, earliest arrival transshipment and quickest transshipment contraflows on particulars networks. Here, we study the theoretical development of continuous contraflow approach for evacuation planning issues. The proposed newly presented algorithms with continuous contraflow reconfiguration approach increase the flow value for given time horizon and also decrease the evacuation time needed to transship the given flow value. Here most of the newly proposed methods make use of temporally repeated flows.

Suggested Citation

  • Urmila Pyakurel & Tanka Nath Dhamala, 2017. "Continuous Dynamic Contraflow Approach for Evacuation Planning," Annals of Operations Research, Springer, vol. 253(1), pages 573-598, June.
    • Handle: RePEc:spr:annopr:v:253:y:2017:i:1:d:10.1007_s10479-016-2302-5
    DOI: 10.1007/s10479-016-2302-5
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    Cited by:

    1. Josip Marić & Carlos Galera-Zarco & Marco Opazo-Basáez, 2022. "The emergent role of digital technologies in the context of humanitarian supply chains: a systematic literature review," Annals of Operations Research, Springer, vol. 319(1), pages 1003-1044, December.
    2. Shiva Prakash Gupta & Urmila Pyakurel & Tanka Nath Dhamala, 2023. "Multi-commodity flow problem on lossy network with partial lane reversals," Annals of Operations Research, Springer, vol. 323(1), pages 45-63, April.
    3. 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.
    4. Lienkamp, Benedikt & Schiffer, Maximilian, 2024. "Column generation for solving large scale multi-commodity flow problems for passenger transportation," European Journal of Operational Research, Elsevier, vol. 314(2), pages 703-717.
    5. Urmila Pyakurel & Hari Nandan Nath & Tanka Nath Dhamala, 2019. "Partial contraflow with path reversals for evacuation planning," Annals of Operations Research, Springer, vol. 283(1), pages 591-612, December.
    6. Zixin Zhang & Liang Wang & Jiayan Lai & Yingming Wang, 2023. "A Dynamic Emergency Plan Generation Method Considering Different Situations and Limited Resources," Sustainability, MDPI, vol. 15(7), pages 1-11, March.
    7. Shahriar Akter & Samuel Fosso Wamba, 2019. "Big data and disaster management: a systematic review and agenda for future research," Annals of Operations Research, Springer, vol. 283(1), pages 939-959, December.
    8. Deepa Mishra & Sameer Kumar & Elkafi Hassini, 2019. "Current trends in disaster management simulation modelling research," Annals of Operations Research, Springer, vol. 283(1), pages 1387-1411, December.
    9. 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.
    10. Chi To Ng & T. C. E. Cheng & Eugene Levner & Boris Kriheli, 2021. "Optimal bi-criterion planning of rescue and evacuation operations for marine accidents using an iterative scheduling algorithm," Annals of Operations Research, Springer, vol. 296(1), pages 407-420, January.
    11. Tanka Nath Dhamala & Urmila Pyakurel & Ram Chandra Dhungana, 2018. "Abstract Contraflow Models and Solution Procedures for Evacuation Planning," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(4), pages 89-100, August.

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