Fuzzy multimodal vehicle routing for last-mile flood relief: A scenario-based model for Chiang Mai
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Abstract
This research addresses the logistical challenges of last-mile relief delivery during flood disasters in Chiang Mai, Thailand. We propose a scenario-based fuzzy multi-depot, multi-trip vehicle routing problem model with split deliveries and integrated multimodal accessibility across varying flood severity levels. The model incorporates fuzzy logic to handle uncertainty by transforming it into an equivalent auxiliary crisp model through triangular membership functions. The objective function aims to minimize total transportation time across five flood scenarios. Results demonstrate that community accessibility requirements vary significantly with flood severity: low water levels can be served entirely by trucks, while severe flooding necessitates intensive boat operations, significantly increasing response times and trip frequencies. Sensitivity analysis reveals that strategic boat-drone collaboration in Scenario 4 can reduce the number of trips by 2 and travel time by up to 3.7%, while significantly simplifying boat routing complexity. The study provides actionable insights for disaster management agencies, emphasizing the critical role of scenario-based planning, multimodal fleet deployment, and robust decision-making under uncertainty.
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
References
Li Y, Chung SH. Disaster relief routing under uncertainty: a robust optimization approach. IISE Trans. 2019;51(8):869-86. DOI: https://doi.org/10.1080/24725854.2018.1450540
Giedelmann-LN, Guerrero WJ, Solano-Charris EL. On the emergency water distribution problem: optimizing vehicle routing decisions with deprivation costs considerations. IFAC-Pap. 2022;55(10):3166-71. DOI: https://doi.org/10.1016/j.ifacol.2022.10.216
Li R, Ye X, Pei S, Yan X, Wang T, Chen J, et al. Optimization of vehicle routing problems combining the demand urgency and road damage for multiple disasters. J Saf Sci Resil. 2025;6(2):196-211. DOI: https://doi.org/10.1016/j.jnlssr.2024.11.001
Sabouhi F, Bozorgi-Amiri A, Vaez P. Stochastic optimization for transportation planning in disaster relief under disruption and uncertainty. Kybernetes. 2020;50(9):2632-50. DOI: https://doi.org/10.1108/K-10-2020-0632
Huang K, Xu M. Optimization models for the vehicle routing problem under disruptions. Mathematics. 2023;11(16):3521. DOI: https://doi.org/10.3390/math11163521
Nodoust S, Pishvaee MS, Seyedhosseini SM. Vehicle routing problem for humanitarian relief distribution under hybrid uncertainty. Kybernetes. 2023;52(4):1503-27. DOI: https://doi.org/10.1108/K-09-2021-0839
Insani N, Taheri S, Abdollahian M. A mathematical model for integrated disaster relief operations in early-stage flood scenarios. Mathematics. 2024;12(13):1978. DOI: https://doi.org/10.3390/math12131978
Pujiana P, Suwilo S, Mardiningsih M. Optimization model for relief distribution after flood disaster. Sinkron. 2024;8(3):1473-9. DOI: https://doi.org/10.33395/sinkron.v8i3.13769
Rojas Trejos CA, Meisel JD, Adarme-Jaimes W, Orejuela Cabrera JP. Distribution of humanitarian aid considering accessibility limitations due to transitory road disruptions. Transp Res Interdiscip Perspect. 2025;33:101607. DOI: https://doi.org/10.1016/j.trip.2025.101607
Toathom T, Champrasert P. Vehicle route planning for relief item distribution under flood uncertainty. Appl Sci. 2024;14(11):4482. DOI: https://doi.org/10.3390/app14114482
Gong Y, Wang W, Zhou Y, Cheng J. Optimization of emergency material distribution routes in flood disaster with truck‐speedboat‐drone coordination. J Flood Risk Manag. 2025;18(1):e13045. DOI: https://doi.org/10.1111/jfr3.13045
Maroof A, Khalid QS, Mahmood M, Naeem K, Maqsood S, Khattak SB, et al. Vehicle routing optimization for humanitarian supply chain: a systematic review of approaches and solutions. IEEE Access. 2023;11:127157-75. DOI: https://doi.org/10.1109/ACCESS.2023.3331062
Weng X, She W, Fan H, Zhang J, Yun L. Multi-depot vehicle routing problem with drones in emergency logistics. Cluster Comput. 2025;28(1):64. DOI: https://doi.org/10.1007/s10586-024-04809-5
Jiménez M, Arenas M, Bilbao A, Rodrı´guez MV. Linear programming with fuzzy parameters: an interactive method resolution. Eur J Oper Res. 2007;177(3):1599-609. DOI: https://doi.org/10.1016/j.ejor.2005.10.002
Boonmee C, Kasemset C. The multi-objective fuzzy mathematical programming model for humanitarian relief logistics. Ind Eng Manag Syst. 2020;19(1):197-210. DOI: https://doi.org/10.7232/iems.2020.19.1.197
CENDIM. Flood hazard map [Internet]. 2025 [cited 2025 Dec 4]. Available from: https://watercenter.scmc.cmu.ac.th/cmflood/floodmap. (In Thai)
Boyle G. Chiang Mai floods again [Internet]. 2024 [cited 2026 May 29]. Available from: https://www.bangkokpost.com/learning/easy/2878928/chiang-mai-floods-again.
Pirard C. Floods and water management in Chiang Mai and the Upper Ping Catchment, Northern Thailand [Internet]. 2025 [cited 2026 May 29. Available from: https://doi.org/10.31223/X5PQ8W. DOI: https://doi.org/10.31223/X5PQ8W
Upper Northern Region Irrigation Hydrology Center. Map of flood survey points in Mueang Chiang Mai District [Internet]. 2025 [cited 2025 Dec 4]. Available from: https://www.hydro-1.net/Data/HD-06/mapgoogle.php. (In Thai)
DDPM. Disaster Machinery operations manual. Bangkok: Department of Disaster Prevention and Mitigation, Ministry of Interior; 2019. (In Thai)
PR Chiangmai. Information on temporary shelters and vehicle parking areas (Flood Evacuation) in Chiang Mai Province [Internet]. 2025 [cited 2026 May 29]. Available from: https://www.facebook.com/share/p/1Cevq8zQKs/. (In Thai)
Heng S, Phutthanawong K, Boonmee C. Optimizing localized humanitarian logistics: a stochastic programming approach for facility location, inventory and evacuation strategies. J Humanit Logist Supply Chain Manag. 2026;16(3):225-50. DOI: https://doi.org/10.1108/JHLSCM-02-2025-0020
Manopiniwes W, Irohara T. Stochastic optimisation model for integrated decisions on relief supply chains: preparedness for disaster response. Int J Prod Res. 2017;55(4):979-96. DOI: https://doi.org/10.1080/00207543.2016.1211340
Phutthanawong K, Boonmee C. Optimizing emergency relief logistics: a multi-scenario vehicle routing model with heterogeneous fleet deployment. Int J Prod Manag Eng. 2026;14(2):156-76. DOI: https://doi.org/10.4995/ijpme.2026.24020
