多类应急资源配置的鲁棒选址-路径优化
发布时间：2018-08-25 19:59
【摘要】：本文基于应急资源配置的灾前预防准备和灾后的响应分配,在多类应急资源配置选址-路径优化名义模型的基础上,考虑多类应急资源成本的不确定性,引入两类不确定集合(box和ellipsoid)刻画该不确定性,分别建立多类应急资源鲁棒选址-路径优化模型,运用鲁棒优化方法,将其转化为易求解处理的鲁棒等价模型,并通过CPLEX和GAMS混合编程算法求解。最后,本文对我国四川北部和西部自然灾害多发区的19个县市进行应急资源优化配置分析,确定应急资源临时供应点的最优选址布局、应急资源的分配路径,同时考虑扰动比例的灵敏度分析,验证模型的可行性和有效性。结果表明在其他条件相同的情况下,ellipsoid不确定集合下的鲁棒模型较保守,配置的总成本较高,因此决策者可以根据自己的风险厌恶程度选择不确定水平参数的值,确定应急资源的配置方案,进而为相关应急救灾部门在灾前预防准备工作提供决策支持。
[Abstract]:In this paper, based on the pre-disaster preparedness and post-disaster response allocation of emergency resource allocation, based on the notional model of location-path optimization for multi-type emergency resource allocation, the uncertainty of multi-type emergency resource cost is considered. Two classes of uncertain sets (box and ellipsoid) are introduced to characterize the uncertainty. The robust site-path optimization model of multi-class emergency resources is established, and the robust equivalent model is transformed into a robust equivalent model which is easy to solve by using robust optimization method. And the solution is solved by CPLEX and GAMS hybrid programming algorithm. Finally, this paper analyzes the optimal allocation of emergency resources in 19 counties and cities in the northern and western regions of Sichuan Province, and determines the optimal location and distribution of emergency resources. At the same time, the sensitivity analysis of disturbance ratio is considered to verify the feasibility and validity of the model. The results show that the robust model under the same conditions is more conservative and the total cost of configuration is higher, so the decision makers can choose the value of the uncertain level parameters according to their risk aversion. To determine the allocation of emergency resources, and then to provide decision support for relevant emergency relief departments in pre-disaster preparedness.
【作者单位】： 北京理工大学管理与经济学院;
【基金】：国家自然科学基金资助重点项目(71432002);国家自然科学基金面上资助项目(71172172) 北京理工大学研究生国际学术交流项目(1320012351601)
【分类号】：O224
本文编号：2203948
[Abstract]:In this paper, based on the pre-disaster preparedness and post-disaster response allocation of emergency resource allocation, based on the notional model of location-path optimization for multi-type emergency resource allocation, the uncertainty of multi-type emergency resource cost is considered. Two classes of uncertain sets (box and ellipsoid) are introduced to characterize the uncertainty. The robust site-path optimization model of multi-class emergency resources is established, and the robust equivalent model is transformed into a robust equivalent model which is easy to solve by using robust optimization method. And the solution is solved by CPLEX and GAMS hybrid programming algorithm. Finally, this paper analyzes the optimal allocation of emergency resources in 19 counties and cities in the northern and western regions of Sichuan Province, and determines the optimal location and distribution of emergency resources. At the same time, the sensitivity analysis of disturbance ratio is considered to verify the feasibility and validity of the model. The results show that the robust model under the same conditions is more conservative and the total cost of configuration is higher, so the decision makers can choose the value of the uncertain level parameters according to their risk aversion. To determine the allocation of emergency resources, and then to provide decision support for relevant emergency relief departments in pre-disaster preparedness.
【作者单位】： 北京理工大学管理与经济学院;
【基金】：国家自然科学基金资助重点项目(71432002);国家自然科学基金面上资助项目(71172172) 北京理工大学研究生国际学术交流项目(1320012351601)
【分类号】：O224
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