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Abstract network flow with intermediate storage for evacuation planning

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  • Pyakurel, Urmila
  • Khanal, Durga Prasad
  • Dhamala, Tanka Nath

Abstract

The abstract network is a generalization of the classical network which is associated with the set of elements and linearly ordered subset of elements, known as paths, that satisfy switching property. Each element is equipped with an integral capacity of two types, movement capacity which transships the flow from the element and storage capacity which stores the flow at the element. In the evacuation process, every individual may not be sent to the final destination due to capacity or time constraints. So, the storage of evacuees at intermediate elements can be a milestone to save the life of people. In this paper, we present polynomial time algorithms to solve maximum static, lexicographic maximum static and maximum dynamic flow problems in an abstract network. We also present the solution procedure to these problems in the abstract contraflow networks having symmetric as well as asymmetric transit times between the pair of adjacent elements.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:305:y:2023:i:3:p:1178-1193
    DOI: 10.1016/j.ejor.2022.06.054
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    References listed on IDEAS

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    1. Edward Minieka, 1973. "Maximal, Lexicographic, and Dynamic Network Flows," Operations Research, INFORMS, vol. 21(2), pages 517-527, April.
    2. 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.
    3. Akbari, Vahid & Salman, F. Sibel, 2017. "Multi-vehicle synchronized arc routing problem to restore post-disaster network connectivity," European Journal of Operational Research, Elsevier, vol. 257(2), pages 625-640.
    4. Weitzel, Timm & Glock, Christoph H., 2018. "Energy management for stationary electric energy storage systems: A systematic literature review," European Journal of Operational Research, Elsevier, vol. 264(2), pages 582-606.
    5. Durga Prasad Khanal & Urmila Pyakurel & Tanka Nath Dhamala, 2021. "Maximum Multicommodity Flow with Intermediate Storage," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-11, July.
    6. Steffen Rebennack & Ashwin Arulselvan & Lily Elefteriadou & Panos M. Pardalos, 2010. "Complexity analysis for maximum flow problems with arc reversals," Journal of Combinatorial Optimization, Springer, vol. 19(2), pages 200-216, February.
    7. Cova, Thomas J. & Johnson, Justin P., 2003. "A network flow model for lane-based evacuation routing," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(7), pages 579-604, August.
    8. 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.
    9. Esposito Amideo, A. & Scaparra, M.P. & Kotiadis, K., 2019. "Optimising shelter location and evacuation routing operations: The critical issues," European Journal of Operational Research, Elsevier, vol. 279(2), pages 279-295.
    10. Marta Pascoal & M. Captivo & João Clímaco, 2006. "A comprehensive survey on the quickest path problem," Annals of Operations Research, Springer, vol. 147(1), pages 5-21, October.
    11. Choi, W. & Hamacher, H. W. & Tufekci, S., 1988. "Modeling of building evacuation problems by network flows with side constraints," European Journal of Operational Research, Elsevier, vol. 35(1), pages 98-110, April.
    12. 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.
    13. Jingyi Hua & Gang Ren & Yang Cheng & Bin Ran, 2014. "An Integrated Contraflow Strategy for Multimodal Evacuation," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-10, May.
    14. Urmila Pyakurel & Tanka Nath Dhamala, 2016. "Continuous Time Dynamic Contraflow Models and Algorithms," Advances in Operations Research, Hindawi, vol. 2016, pages 1-7, March.
    15. Urmila Pyakurel & Tanka Nath Dhamala & Stephan Dempe, 2017. "Efficient continuous contraflow algorithms for evacuation planning problems," Annals of Operations Research, Springer, vol. 254(1), pages 335-364, July.
    16. 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.
    17. 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.
    18. 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.
    19. Weitzel, Timm & Glock, C. H., 2018. "Energy Management for Stationary Electric Energy Storage Systems: A Systematic Literature Review," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 88880, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    20. 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.
    21. A. Anaya-Arenas & J. Renaud & A. Ruiz, 2014. "Relief distribution networks: a systematic review," Annals of Operations Research, Springer, vol. 223(1), pages 53-79, December.
    22. Altay, Nezih & Green III, Walter G., 2006. "OR/MS research in disaster operations management," European Journal of Operational Research, Elsevier, vol. 175(1), pages 475-493, November.
    23. 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.
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