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Connecting a population dynamic model with a multi-period location-allocation problem for post-disaster relief operations

Author

Listed:
  • Christophe Duhamel

    (LIMOS-UBP, UMR CNRS 6158, Université Blaise Pascal)

  • Andréa Cynthia Santos

    (Université de Technologie de Troyes)

  • Daniel Brasil

    (Université de Technologie de Troyes
    Universidade Federal de Minas Gerais)

  • Eric Châtelet

    (Université de Technologie de Troyes)

  • Babiga Birregah

    (Université de Technologie de Troyes)

Abstract

In this study, we propose a mathematical model and heuristics for solving a multi-period location-allocation problem in post-disaster operations, which takes into account the impact of distribution over the population. Logistics restrictions such as human and financial resources are considered. In addition, a brief review on resilience system models is provided, as well as their connection with quantitative models for post-disaster relief operations. In particular, we highlight how one can improve resilience by means of OR/MS strategies. Then, a simpler resilience schema is proposed, which better reflects an active system for providing humanitarian aid in post-disaster operations, similar to the model focused in this work. The proposed model is non-linear and solved by a decomposition approach: the master level problem is addressed by a non-linear solver, while the slave subproblem is treated as a black-box coupling heuristics and a Variable Neighborhood Descent local search. Computational experiments have been done using several scenarios, and real data from Belo Horizonte city in Brazil.

Suggested Citation

  • Christophe Duhamel & Andréa Cynthia Santos & Daniel Brasil & Eric Châtelet & Babiga Birregah, 2016. "Connecting a population dynamic model with a multi-period location-allocation problem for post-disaster relief operations," Annals of Operations Research, Springer, vol. 247(2), pages 693-713, December.
    • Handle: RePEc:spr:annopr:v:247:y:2016:i:2:d:10.1007_s10479-015-2104-1
    DOI: 10.1007/s10479-015-2104-1
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    References listed on IDEAS

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    1. Begoña Vitoriano & M. Ortuño & Gregorio Tirado & Javier Montero, 2011. "A multi-criteria optimization model for humanitarian aid distribution," Journal of Global Optimization, Springer, vol. 51(2), pages 189-208, October.
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    Cited by:

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    4. Ghasemi, Peiman & Khalili-Damghani, Kaveh & Hafezalkotob, Ashkan & Raissi, Sadigh, 2019. "Uncertain multi-objective multi-commodity multi-period multi-vehicle location-allocation model for earthquake evacuation planning," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 105-132.

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