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，作出合理和最佳的决策是必不可少的，也是必要的。在本研究项目中，我们对解决具有网络结构的公共系统中的各种问题进行了理论和实践分析，如交通和运输，信息和通信，公共设施选址，环境和能源，以及医疗保健。首先，作为交通运输领域的研究，本研究运用统计分析方法和PSA技术，对重大交通事故死亡人数进行估算，建立了交通事故对策的评价方法。在此基础上，建立了一个实用的数学规划模型，用于分析和制定生产计划， ...更多信息 在铁路行业中，适当地保留铁路，然后我们证实了我们的模型是有用的和有效的，足以解决实际的铁路维修调度问题。其次，我们考虑了老年人健康和福利服务的最佳公共设施选址问题，应用数学规划建模技术，以获得最小化的区域差距的最优选址解决方案。另外，作为对公用事业电力产业的研究，我们建立了一个混合型整数规划模型，以获得电力产业自由化后的最优电力供应系统，并研究了新独立发电商的报价制度。第三，作为最短路径法的理论应用，我们定义了一个最短路径计数问题，将最短路径法应用于最优设施选址问题。最后，我们考虑了分配问题，这是历史上被认为是最困难的问题之一，通过理论证明和数值实验，获得了理论上的新结果。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