中断情境下可靠性应急设施选址-分配多目标优化模型  

A multi-objective optimization model for reliable emergency facility location-allocation under disruptions

作　　者：于冬梅[1] 高雷阜[1] 赵世杰[1] YU Dong-mei;GAO Lei-fu;ZHAO Shi-jie(Institute for Optimization and Decision Analytics,Liaoning Technical University,Fuxin 123000,China)

机构地区：[1]辽宁工程技术大学运筹与优化研究院,辽宁阜新123000

出　　处：《控制与决策》2020年第6期1415-1420,共6页Control and Decision

基　　金：辽宁省自然科学基金项目(2019-ZD-0032,20170520075);辽宁省教育厅科学研究经费项目(LJ2017QL031,LJ2019ZL001,LJ2019JL017)

摘　　要：应急设施选址是长期战略性决策布局问题,选址-分配网络面临潜在的中断风险.在中断情境下构建以成本经济性、覆盖质量均衡性及公平性为核心的多目标体系.以最小化系统成本为目标反映经济性,以覆盖服务质量最大化为目标反映均衡性,以最大化最小需求覆盖水平为目标反映公平性,建立中断情境下服务能力有限的可靠性应急设施选址-分配多目标优化模型.采用带精英策略的快速非支配排序遗传算法(NSGA-Ⅱ)对模型予以求解,获得经济成本、覆盖服务质量均衡性与公平性之间的Pareto解集,给出Pareto最优解集在三维空间的分布及应急设施选址布局网络的拓扑结构.研究成果将为决策者在中断环境下设计可靠的选址-分配网络提供决策支持.Emergency facility location is a long-term strategic decision layout problem, but the location-allocation network is confronted with potential disruption risk. The multi-objective evaluation system is proposed under disruptions which includes cost economy, equilibrium and fairness of coverage quality. A capacitated multi-objective model is established for reliable emergency facility location under disruptions, the constructed model reflects economy with the minimum system cost, equilibrium with the maximum coverage of service quality, and fairness with the maximum minimum coverage level.The non-dominated sorting genetic algorithm Ⅱ(NSGA-Ⅱ) is presented to solve the model to obtain the Pareto set. The distribution of Pareto optimal set in three dimensions and the topological structure of emergency facility location network are given. The research results provide decision support for decision-makers to design a reliable location-allocation network under the disruption environment.

关 键 词：应急设施 选址分配 中断 多目标优化 可靠性 NSGA-Ⅱ 

分 类 号：O221.6[理学—运筹学与控制论]