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Model and solution of sustainable bi-level emergency commodity allocation based on type-2 fuzzy theory

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  • Liang, Siqi
  • Bai, Xuejie
  • Li, Yongli
  • Xin, Hening

Abstract

The allocation of emergency commodities is very important for efficient emergency response after a disaster. In this study, a sustainable multi-objective bi-level emergency commodity allocation model is established, providing a practical emergency commodity allocation strategy for humanitarian supply chains. First, type-2 fuzzy variables are used to describe uncertain transportation costs and handle them based on the conditional value-at-risk (CVaR) theory of type-2 fuzzy variables. Second, Karush-Kuhn–Tucker (KKT) conditions with complementary constraints are used, auxiliary variables are introduced, and global criteria are applied to achieve the equivalent transformation of the model. Finally, with the Wenchuan earthquake in China in 2008 as an example, we prove the necessity of introducing the CVaR for risk measurement and the practicability of using type-2 fuzzy variables to describe uncertain parameters by comparing this scenario with a risk-neutral situation and the proposed model with a model based on type-1 fuzzy theory. The novelties of this study include considering both the government and suppliers are decision-makers, exploiting CVaR to measure tail risk and using type-2 fuzzy theory to transform uncertain parameters. The contributions of this study include considering sustainability during the rescue process and proposing a CVaR formula based on type-2 theory.

Suggested Citation

  • Liang, Siqi & Bai, Xuejie & Li, Yongli & Xin, Hening, 2023. "Model and solution of sustainable bi-level emergency commodity allocation based on type-2 fuzzy theory," Socio-Economic Planning Sciences, Elsevier, vol. 90(C).
    • Handle: RePEc:eee:soceps:v:90:y:2023:i:c:s0038012123002616
    DOI: 10.1016/j.seps.2023.101749
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    1. Kyle H. Goldschmidt & Sameer Kumar, 2019. "Reducing the cost of humanitarian operations through disaster preparation and preparedness," Annals of Operations Research, Springer, vol. 283(1), pages 1139-1152, December.
    2. Vosooghi, Zeinab & Mirzapour Al-e-hashem, S.M.J. & Lahijanian, Behshad, 2022. "Scenario-based redesigning of a relief supply-chain network by considering humanitarian constraints, triage, and volunteers’ help," Socio-Economic Planning Sciences, Elsevier, vol. 84(C).
    3. Xuehong Gao, 2022. "A bi-level stochastic optimization model for multi-commodity rebalancing under uncertainty in disaster response," Annals of Operations Research, Springer, vol. 319(1), pages 115-148, December.
    4. Shyamali Ghosh & Sankar Kumar Roy & Gerhard-Wilhelm Weber, 2023. "Interactive strategy of carbon cap-and-trade policy on sustainable multi-objective solid transportation problem with twofold uncertain waste management," Annals of Operations Research, Springer, vol. 326(1), pages 157-197, July.
    5. Shaw, Lipika & Das, Soumen Kumar & Roy, Sankar Kumar, 2022. "Location-allocation problem for resource distribution under uncertainty in disaster relief operations," Socio-Economic Planning Sciences, Elsevier, vol. 82(PA).
    6. Baskaya, Serhat & Ertem, Mustafa Alp & Duran, Serhan, 2017. "Pre-positioning of relief items in humanitarian logistics considering lateral transhipment opportunities," Socio-Economic Planning Sciences, Elsevier, vol. 57(C), pages 50-60.
    7. Zhu, Xiaoyan & Cao, Yunzhi, 2021. "The optimal recovery-fund based strategy for uncertain supply chain disruptions: A risk-averse two-stage stochastic programming approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    8. Galindo, Gina & Batta, Rajan, 2013. "Review of recent developments in OR/MS research in disaster operations management," European Journal of Operational Research, Elsevier, vol. 230(2), pages 201-211.
    9. Abazari, Seyed Reza & Aghsami, Amir & Rabbani, Masoud, 2021. "Prepositioning and distributing relief items in humanitarian logistics with uncertain parameters," Socio-Economic Planning Sciences, Elsevier, vol. 74(C).
    10. Mondal, Arijit & Giri, Binoy Krishna & Roy, Sankar Kumar, 2023. "An integrated sustainable bio-fuel and bio-energy supply chain: A novel approach based on DEMATEL and fuzzy-random robust flexible programming with Me measure," Applied Energy, Elsevier, vol. 343(C).
    11. Alem, Douglas & Bonilla-Londono, Hector F. & Barbosa-Povoa, Ana Paula & Relvas, Susana & Ferreira, Deisemara & Moreno, Alfredo, 2021. "Building disaster preparedness and response capacity in humanitarian supply chains using the Social Vulnerability Index," European Journal of Operational Research, Elsevier, vol. 292(1), pages 250-275.
    12. Li Zhu & Yeming Gong & Yishui Xu & Jun Gu, 2019. "Emergency relief routing models for injured victims considering equity and priority," Annals of Operations Research, Springer, vol. 283(1), pages 1573-1606, December.
    13. Sun, Huali & Li, Jiamei & Wang, Tingsong & Xue, Yaofeng, 2022. "A novel scenario-based robust bi-objective optimization model for humanitarian logistics network under risk of disruptions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
    14. Feiyue Wang & Ziling Xie & Zhongwei Pei & Dingli Liu, 2022. "Emergency Relief Chain for Natural Disaster Response Based on Government-Enterprise Coordination," IJERPH, MDPI, vol. 19(18), pages 1-22, September.
    15. Rodríguez-Espíndola, Oscar & Albores, Pavel & Brewster, Christopher, 2018. "Dynamic formulation for humanitarian response operations incorporating multiple organisations," International Journal of Production Economics, Elsevier, vol. 204(C), pages 83-98.
    16. Hu, Shaolong & Han, Chuanfeng & Dong, Zhijie Sasha & Meng, Lingpeng, 2019. "A multi-stage stochastic programming model for relief distribution considering the state of road network," Transportation Research Part B: Methodological, Elsevier, vol. 123(C), pages 64-87.
    17. Cao, Cejun & Liu, Yang & Tang, Ou & Gao, Xuehong, 2021. "A fuzzy bi-level optimization model for multi-period post-disaster relief distribution in sustainable humanitarian supply chains," International Journal of Production Economics, Elsevier, vol. 235(C).
    18. Lei He & Ziang Xie, 2022. "Optimization of Urban Shelter Locations Using Bi-Level Multi-Objective Location-Allocation Model," IJERPH, MDPI, vol. 19(7), pages 1-18, April.
    19. Wang, Qingyi & Nie, Xiaofeng, 2022. "A stochastic programming model for emergency supply planning considering transportation network mitigation and traffic congestion," Socio-Economic Planning Sciences, Elsevier, vol. 79(C).
    20. Paul, Jomon A. & Zhang, Minjiao, 2019. "Supply location and transportation planning for hurricanes: A two-stage stochastic programming framework," European Journal of Operational Research, Elsevier, vol. 274(1), pages 108-125.
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    1. Liu, Liyi & Tu, Yan & Zhang, Wen & Shen, Wenjing, 2024. "Supplier selection for emergency material based on group exponential TODIM method considering hesitant fuzzy linguistic set: A case study of China," Socio-Economic Planning Sciences, Elsevier, vol. 94(C).

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