Basic research on measuring the connected stability of lifeline network systemand its application to the risk management system

在公共部门制定和确定政策时，做出合理和最优的决策是必不可少的，也是必要的。在本研究项目中，我们针对交通运输、信息通信、公共设施选址、环境能源、医疗等具有网络结构的公共系统的各类问题进行理论和实践分析。然后，将统计处理方法和数学规划建模技术应用于实际的客观数据，试图帮助公共政策做出客观、合理和最优的决策。首先，作为一项与交通运输相关的研究，我们采用统计分析方法和PSA技术来估计致命交通事故的死亡人数，并建立了交通事故对策的评估方法。在此基础上，建立了一个实用的数学规划模型，用于分析和制定铁路行业的维修调度问题，并验证了该模型的实用性和有效性，足以解决实际的铁路维修调度问题。其次，考虑老年人健康福利服务公共设施的最优选址问题，运用数学规划建模技术，得到区域差距最小的最优选址方案。同时，作为对公用事业电力行业的研究，为了获得电力行业自由化后的最优供电系统，我们建立了混合型整数规划模型，并对新独立的电力生产商招标制度进行了研究。第三，作为最短路径方法的理论应用，我们定义了一个最短路径计数问题，将该方法应用于最优设施选址。最后，我们考虑了历史上被认为是最困难的问题之一的分配问题，通过理论证明和数值实验得到了理论上的新结果。少

It is indispensable as well as necessary to make both reasonable and optimal decisions for making and determining policies in the public sector. In this research project we make both theoretical and practical analyzes for solving various types of problems in public systems with network structure such as traffic and transportation, information and communication, public facility location, environments and energy, and medical cares. Then we try to help making objective, reasonable and optimal decisions for public policies by applying statistical processing methods and mathematical programming modeling techniques to actual objective data.Firstly, as a traffic and transportation related research, we developed evaluation methods for traffic accidents' countermeasures using statistical analysis methods and PSA techniques for estimating number of deaths due to fatal traffic accidents. Furthermore, we built a practical mathematical programming model in order to analyze and make schedules for ma … More intaining railways appropriately in the railway industry, then we confirmed our model was useful and efficient enough to solve actual railway maintenance scheduling problems. Secondly, we consider the optimal public facility location problem for the elderly health and welfare services, applying mathematical programming modeling techniques to obtain an optimal location solution minimizing the regional gap. Also, as a research for the electric power industry of public utility, we buill a mixed-type integer programming model in order to obtain an optimal electric power supply system after liberalizing the power industry, then investigated the newly independent power producers' bidding system. Thirdly, as a theoretical application of shortest pathmethod, we define a shortest path counting problem applying the method to the optimal facility location solution. Finally, we considered the apportionment problem, which is considered historically to be one of the most difficult problem, obtaining the theoretically new results with theoretical proof and numerical experiments. Less