Connecting a population dynamic model with a multi-period location-allocation problem for post-disaster relief operations |
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Authors: | Christophe Duhamel Andréa Cynthia Santos Daniel Brasil Eric Châtelet Babiga Birregah |
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Affiliation: | 1.LIMOS-UBP, UMR CNRS 6158, Université Blaise Pascal,Aubière,France;2.ICD-LOSI, UMR CNRS 6281,Université de Technologie de Troyes,Troyes,France;3.DCC-UFMG,Universidade Federal de Minas Gerais,Belo Horizonte,Brazil;4.ICD-LM2S, UMR CNRS 6281,Université de Technologie de Troyes,Troyes,France |
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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. |
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