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Three-Stage Mixed Integer Robust Optimization Model Applied to Humanitarian Emergency Logistics by Considering Secondary Disasters

机译:考虑二次灾害,三阶段混合整数鲁棒优化模型适用于人道主义应急物流

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摘要

In recent years, natural disasters occur frequently, and secondary disasters induced by major disasters will also cause huge losses. The diversity of secondary disasters makes humanitarian emergency logistics (HEL) more challenging but often overlooked by researchers. In order to solve the comprehensive HEL problem of major and secondary disasters, a three-stage mixed integer linear optimization (TS-MILO) model is proposed. Among them, the uncertainty of the demand for relief supplies is also extremely difficult to deal with. In order to resist the interference of uncertainty, based on robust optimization, the TS-MILO model is further transformed into a three-stage mixed integer robust optimization (TS-MIRO) model, which are respectively BTS-MIRO (Box set), PTS-MIRO (Polyhedral set), and ETS-MIRO (Ellipsoid set). The experimental results show that the TS-MILO model can provide the lowest cost but cannot solve the uncertainty problem. The improved TS-MIRO model will pay a robust price (increase by at least 10.05%), but maintains supply stability even in the worst-case scenario. Specifically, ETS-MIRO model has strong robustness, and its cost increase only accounts for 44.66% of BTS-MIRO model in the worst case. The service level of the three TS-MIRO models increases with the safety parameters, among which the service level in the ETS-MIRO model increases significantly from 88.53% to 96.44%. The research results can provide a strong support for the decision making of disaster relief management department.
机译:近年来,频繁发生的自然灾害和重大灾害引起的次生灾害也将造成巨大的损失。次生灾害的多样性,使人道主义应急物流(HEL)更具挑战性,但往往被忽视的研究人员。为了解决主要和次生灾害的综合HEL问题,一个三阶段的混合整数线性优化(TS-MILO)模型。其中,对救灾物资需求的不确定性也非常难以对付。为了抵抗不确定性的干扰,基于鲁棒优化,TS-MILO模型进一步转化为三阶段混合整数鲁棒性优化(TS-MIRO)模型,分别BTS-MIRO(框组),PTS -MIRO(多面体组),和ETS-MIRO(椭球集)。实验结果表明,TS-MILO模型可以提供最低的成本,但解决不了的不确定性问题。改进后的TS-MIRO模式将付出代价强劲(至少10.05%的增幅),但保留即使在最坏的情况下供应稳定。具体来说,ETS-MIRO模型具有较强的鲁棒性,而且其成本增加只占在最坏的情况下BTS-MIRO模型的44.66%。与安全参数,其中在ETS-MIRO模型增加了服务水平显著从88.53%至96.44%,三TS-MIRO车型增加的服务水平。该研究结果可为使救灾管理部门的决定了强有力的支持。

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