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Macroscopic evacuation plans for natural disasters

Author

Listed:
  • Ismaila Abderhamane Ndiaye

    (Université François-Rabelais de Tours, LI EA 6300, OC CNRS 6305)

  • Emmanuel Neron

    (Université François-Rabelais de Tours, LI EA 6300, OC CNRS 6305)

  • Antoine Jouglet

    (Université de Technologie de Compiègne, HEUDIASYC UMR CNRS 7253)

Abstract

Since the 1990s, problems regarding the evacuation of persons have been extensively studied in the literature. The proposed models can be classified into two main categories: macroscopic and microscopic models. The DSS_Evac_Logistic project (2015, http://projets.li.univ-tours.fr/dssvalog/?lang=en ) is interested in the evacuation of people in the context of flooding, burning or seismic events for which insecurity, capacity, and time to cross roads vary over time. We consider the problem of large-scale evacuation of medium-sized cities, in situations where the evacuees must change their place of residence for a period ranging from several days to several months. As a part of this project, we assume as solved the problem of selecting a set of starting points and shelter locations. We develop discrete macroscopic models and methods that incorporate the risk and safety that are inherent in the context studied for evacuating persons. The problem that needs to be addressed is to determine the minimum overall evacuation time while minimizing the risk incurred by evacuees (i.e., maximize the amount of unharmed persons). In this context, we first propose a pseudopolynomial method, which is based on the shortest augmenting paths, without using a time-expanded network to tackle the earliest arrival flow and the quickest flow problems no-wait with time-dependent data. Then, we extend this approach to consider the safety criterion.

Suggested Citation

  • Ismaila Abderhamane Ndiaye & Emmanuel Neron & Antoine Jouglet, 2017. "Macroscopic evacuation plans for natural disasters," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(1), pages 231-272, January.
    • Handle: RePEc:spr:orspec:v:39:y:2017:i:1:d:10.1007_s00291-016-0451-1
    DOI: 10.1007/s00291-016-0451-1
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    References listed on IDEAS

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    1. S Opasanon & E Miller-Hooks, 2009. "The Safest Escape problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(12), pages 1749-1758, December.
    2. Bruce Hoppe & Éva Tardos, 2000. "The Quickest Transshipment Problem," Mathematics of Operations Research, INFORMS, vol. 25(1), pages 36-62, February.
    3. John J. Jarvis & H. Donald Ratliff, 1982. "Note---Some Equivalent Objectives for Dynamic Network Flow Problems," Management Science, INFORMS, vol. 28(1), pages 106-109, January.
    4. L. G. Chalmet & R. L. Francis & P. B. Saunders, 1982. "Network Models for Building Evacuation," Management Science, INFORMS, vol. 28(1), pages 86-105, January.
    5. Nadine Baumann & Martin Skutella, 2009. "Earliest Arrival Flows with Multiple Sources," Mathematics of Operations Research, INFORMS, vol. 34(2), pages 499-512, May.
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    Cited by:

    1. Jorge A. Huertas & Daniel Duque & Ethel Segura-Durán & Raha Akhavan-Tabatabaei & Andrés L. Medaglia, 2020. "Evacuation dynamics: a modeling and visualization framework," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(3), pages 661-691, September.
    2. Yannick Kergosien & Antoine Giret & Emmanuel Néron & Gaël Sauvanet, 2022. "An Efficient Label-Correcting Algorithm for the Multiobjective Shortest Path Problem," INFORMS Journal on Computing, INFORMS, vol. 34(1), pages 76-92, January.
    3. Shin, Youngchul & Moon, Ilkyeong, 2023. "Robust building evacuation planning in a dynamic network flow model under collapsible nodes and arcs," Socio-Economic Planning Sciences, Elsevier, vol. 86(C).

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