Mathematical models for the evacuation in the humanitarian supply chain: a review
Abstract
Natural disasters represent a global threat, since they are related to climate change. Due to the destructive nature of these natural phenomena, the economic and social impact it leaves on populations and countries is considerably high. The humanitarian supply chain is gaining great interest in academia, business, and government because of its relevance to dealing with natural disasters. In this paper, a literature review of mathematical models of evacuation in the humanitarian supply chain was carried out. 36% of the articles are oriented to the pre-disaster phase, 32% to post-disaster and 32% in an integrated phase. Likewise, 83% of the articles propose deterministic models and 17% non-deterministic. The most common methods to solve optimization models are metaheuristics algorithms, network flow and vehicle routing problem. On the other hand, the methods proposed to solve the models without optimization are stochastic programming, probabilistic models, Markov processes and agent-based models. As future work, it could be suggested to address problems focused on the pre-disaster stage with multiple periods of time in order to establish adequate strategies with more complete preparations.
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References
Behl, A., & Dutta, P. (2018). Humanitarian supply chain management: a thematic literature review and future directions of research. Annals of Operations Research, 283, 1001–1044. https://doi.org/10.1007/s10479-018-2806-2
Capacci, A., & Mangano, S. (2015). Las catástrofes naturales. Cuaderrnos de Geografía: Revista Colombiana de Geografía, 24(2), 35–51. Disponible en: https://www.redalyc.org/articulo.oa?id=281839793003
Chiappetta, C.J.; Sobreiro, V.A.; de Sousa Jabbour, A.B.L.; Campos, L.M.S.; Mariano, E.B.; Renwick, D.W.S. (2019). An analysis of the literature on humanitarian logistics and supply chain management: Paving the way for future studies. Applications of OR in Disaster Relief Operations, 283, 289–307. https://doi.org/10.1007/s10479-017-2536-x
Hezam, I. M., & Nayeem, M. K. (2020). A Systematic Literature Review on Mathematical Models of Humanitarian Logistics. Symmetry, MDPI, 13(1), 11. https://doi.org/10.3390/sym13010011
Hu, H., He, J., He, X., Yang, W., Nie, J., & Ran, B. (2019). Emergency material scheduling optimization model and algorithms: A review. Journal of traffic and transportation engineering, 5, 441-454. https://doi.org/10.1016/j.jtte.2019.07.001
Jaganmohan, M. (2022). Annual number of natural disaster events globally from 2007 to 2021. Recuperado de https://www.statista.com/statistics/510959/number-of-natural-disasters-events-globally/
Kimms, A., & Maiwald, M. (2017). An exact network flow formulation for cell-based evacuation in urban areas. Naval Res Logistics, 64, 547–555. https://doi.org/10.1002/nav.21772
Madani S., H., Arshadi K., A., & Tavakkoli-Moghaddam, R. (2021). Solving a new bi-objective model for relief logistics in a humanitarian supply chain by bi-objective meta-heuristic algorithms. Scientia Iranica, 28, 2948–2971. Doi: 10.24200/SCI.2020.53823.3438
Melendez, B., Machiani, S. G., & Atsushi, N. (2021). Modelling traffic during Lilac Wildfire evacuation using cellular data. Transportation Research Interdisciplinary Perspectives, 9(100335). https://doi.org/10.1016/j.trip.2021.100335
Mollah, A. K., Sadhukhan, S., Das, P., & Anis, M. Z. (2018). A cost optimization model and solutions for shelter allocation and relief distribution in flood scenario. International Journal of Disaster Risk Reduction, 31, 1187–1198. https://doi.org/10.1016/j.ijdrr.2017.11.018
Molina, J., López, A., Hernández, A., Martínez, I. (2017). A Multi-start Algorithm with Intelligent Neighborhood Selection for solving multi-objective humanitarian vehicle routing problems. 1-23. https://doi.org/10.1007/s10732-017-9360-y
Nayeri, S., Tavakkoli-Moghaddam, R., Sazvar, Z., & Heydari, J. (2020). Solving an Emergency Resource Planning Problem with Deprivation Time by a Hybrid MetaHeuristic Algorithm. Journal of Quality Engineering and Production Optimization, 5(1), 65–86. Doi: 10.22070/JQEPO.2020.5379.1150
Panwar, V., & Sen, S. (2019). Economic Impact of Natural Disasters: An Empirical Re-examination. Margin: The Journal of Applied Economic Research, 13(1), 109–139. https://doi.org/10.1177/0973801018800087
Referencias
Behl, A., & Dutta, P. (2018). Humanitarian supply chain management: a thematic literature review and future directions of research. Annals of Operations Research, 283, 1001–1044. https://doi.org/10.1007/s10479-018-2806-2
Capacci, A., & Mangano, S. (2015). Las catástrofes naturales. Cuaderrnos de Geografía: Revista Colombiana de Geografía, 24(2), 35–51. Disponible en: https://www.redalyc.org/articulo.oa?id=281839793003
Chiappetta, C.J.; Sobreiro, V.A.; de Sousa Jabbour, A.B.L.; Campos, L.M.S.; Mariano, E.B.; Renwick, D.W.S. (2019). An analysis of the literature on humanitarian logistics and supply chain management: Paving the way for future studies. Applications of OR in Disaster Relief Operations, 283, 289–307. https://doi.org/10.1007/s10479-017-2536-x
Hezam, I. M., & Nayeem, M. K. (2020). A Systematic Literature Review on Mathematical Models of Humanitarian Logistics. Symmetry, MDPI, 13(1), 11. https://doi.org/10.3390/sym13010011
Hu, H., He, J., He, X., Yang, W., Nie, J., & Ran, B. (2019). Emergency material scheduling optimization model and algorithms: A review. Journal of traffic and transportation engineering, 5, 441-454. https://doi.org/10.1016/j.jtte.2019.07.001
Jaganmohan, M. (2022). Annual number of natural disaster events globally from 2007 to 2021. Recuperado de https://www.statista.com/statistics/510959/number-of-natural-disasters-events-globally/
Kimms, A., & Maiwald, M. (2017). An exact network flow formulation for cell-based evacuation in urban areas. Naval Res Logistics, 64, 547–555. https://doi.org/10.1002/nav.21772
Madani S., H., Arshadi K., A., & Tavakkoli-Moghaddam, R. (2021). Solving a new bi-objective model for relief logistics in a humanitarian supply chain by bi-objective meta-heuristic algorithms. Scientia Iranica, 28, 2948–2971. Doi: 10.24200/SCI.2020.53823.3438
Melendez, B., Machiani, S. G., & Atsushi, N. (2021). Modelling traffic during Lilac Wildfire evacuation using cellular data. Transportation Research Interdisciplinary Perspectives, 9(100335). https://doi.org/10.1016/j.trip.2021.100335
Mollah, A. K., Sadhukhan, S., Das, P., & Anis, M. Z. (2018). A cost optimization model and solutions for shelter allocation and relief distribution in flood scenario. International Journal of Disaster Risk Reduction, 31, 1187–1198. https://doi.org/10.1016/j.ijdrr.2017.11.018
Molina, J., López, A., Hernández, A., Martínez, I. (2017). A Multi-start Algorithm with Intelligent Neighborhood Selection for solving multi-objective humanitarian vehicle routing problems. 1-23. https://doi.org/10.1007/s10732-017-9360-y
Nayeri, S., Tavakkoli-Moghaddam, R., Sazvar, Z., & Heydari, J. (2020). Solving an Emergency Resource Planning Problem with Deprivation Time by a Hybrid MetaHeuristic Algorithm. Journal of Quality Engineering and Production Optimization, 5(1), 65–86. Doi: 10.22070/JQEPO.2020.5379.1150
Panwar, V., & Sen, S. (2019). Economic Impact of Natural Disasters: An Empirical Re-examination. Margin: The Journal of Applied Economic Research, 13(1), 109–139. https://doi.org/10.1177/0973801018800087
Rambha, T., Nozick, L. K., & Davidson, R. (2021). Modeling hurricane evacuation behavior using a dynamic discrete choice framework. Transportation Research Part B: Methodological, 150, 75–100. https://doi.org/10.1016/j.trb.2021.06.003
Santana-Robles., F., Hernández-Gress, E. S., Hernández-Gress, N., & Granillo-Macias., R. (2021). Metaheuristics in the Humanitarian Supply Chain. Algorithms, 14(12), 364. https://doi.org/10.3390/a14120364
Sopha, B. M., Achsan, R. E. D., & Asih, A. M. S. (2019). Mount Merapi eruption: Simulating dynamic evacuation and volunteer coordination using agent-based modeling approach. Journal of Humanitarian Logistics and Supply Chain Management, 9(2), 292–322. https://doi.org/10.1108/JHLSCM-05-2018-0035
Szmigiera, M. (2022). Countries with the most natural disasters in 2021. Recuperado de https://www.statista.com/statistics/269652/countries-with-the-most-natural-disasters/
Taneja, L., & Bolia, N. B. (2018). Pedestrian control measures for efficient emergency response management in mass gatherings. International Journal of Disaster Resilience in the Built Environment, 9(3), 273–290. https://doi.org/10.1108/IJDRBE-07-2017-0045
Tranfield, D.; Denyer, D.; Smart, P. Towards a Methodology for Developing Evidence-Informed Management Knowledge by Means of Systematic Review. Br. J. Manag. 2003, 14, 207–222. https://doi.org/10.1111/1467-8551.00375
Urata, J., & Pel, A. J. (2018). People’s Risk Recognition Preceding Evacuation and Its Role in Demand Modeling and Planning. Risk analysis, 38(5), 889–905. https://doi.org/10.1111/risa.12931
Wild, A. J., Bebbington, M. S., Lindsay, J. M., & Charlton, D. H. (2021). Modelling spatial population exposure and evacuation clearance time for the Auckland Volcanic Field, New Zealand. Journal of Volcanology and Geothermal Research, 416(107282). https://doi.org/10.1016/j.jvolgeores.2021.107282
Zhang, L., Cui, N. (2021). Humanitarian logistics and emergency relief management: hot perspectives and its optimization approach, 5th International Conference on Advances in Energy, Environment and Chemical Science (AEECS 2021), Vol. 245. https://doi.org/10.1051/e3sconf/202124503036
Zeng, M. H., Wang, M., Chen, Y., & Yang, Z. (2021). Dynamic evacuation optimization model based on conflict-eliminating cell transmission and split delivery vehicle routing. Safety Science, 137(105166). https://doi.org/10.1016/j.ssci.2021.105166
Zhang, D., Huang, G., Ji, C., Liu, H., & Tang, Y. (2021). Pedestrian evacuation modeling and simulation in multi-exit scenarios. Physica A: Statistical Mechanics and its Applications, 582(126272). https://doi.org/10.1016/j.physa.2021.126272
Zhu, L., Gong, Y., Xu, Y., & Gu, Y. (2019). Emergency relief routing models for injured victims considering equity and priority. Annals of Operations Research, 283, 1573–1606. https://doi.org/10.1007/s10479-018-3089-3