Basic Research on the Evaluation of Robustness and its Improvement for the Social Infrastructure System in the Risk Management System

(1)发展了对一般网络结构系统的稳定性、鲁棒性和可靠性进行定量测量和评价的理论和方法。将该方法应用于实际的网络系统，如东京和马尼拉的交通路网系统，以及东京和雅加达的供水系统，我们获得了测量这些系统稳健性的数值结果，包括比较分析。我们对上述方法的理论贡献包括定义一般网络系统的稳定连接函数、开发计算算法和获得近似函数，这些近似函数是通过从网络中删除任意数量的边和节点而得到的，对应于任意数量的边和节点被“破坏”的假设。我们的研究成果包括在日本和国际学术期刊上发表的几篇文章。(2)开发了铁路轨道维修调度模型，该模型已在日本多家铁路公司得到应用。该模型是一个优化型数学规划模型，以轨道不平顺度数据的最大改进为准则，给出了MTT系统的年运行计划。我们的研究成果包括在日本和国际学术期刊上发表的几篇文章。(3)利用数学规划技术建立了日本粮食供给系统的数学模型，以获得适合日本的粮食安全政策。模型目标包括在几个主要粮食出口国限制进口小麦、大豆、玉米等一些基本粮食的情况下，战略性地尽可能提高日本的自给率（SSR）。我们的研究成果包括在国际学术会议上发表这些模型公式和数值结果。(4)建立了求解电力自由化问题的数学规划模型。模型目标包括获得MGT、GT等多种发电机组的最优引入。少

(1)We developed the theory and the methodology for quantitatively measuring and evaluating stability, robustness and reliability for the general network- structured system. Applying the methodology to the actual network systems such as traffic road network systems in Tokyo and Manila, and water supply systems, in Tokyo and Jakarta, we obtained numerical results for measuring the robustness of those systems including comparative analyses. Our theoretical contribution to the above approach includes defining stable connectivity function for the general network system, developing computational algorithm, and obtaining approximate functions, which are derived from deleting arbitrary number of edges and nodes from the network corresponding to the assumption that arbitrary number of edges and nodes are "broken." Our research results include several articles which appeared in both Japanese and international academic Journals.(2)We developed the railway track maintenance scheduling model, which … More have been already used in several Japanese railway companies. The model is an optimization-type mathematical programming model whose criteria is defined to be the maximum improvement for the track irregularity data, and gives us an annual operating schedule for the MTT system. Our research results include several articles which appeared in both Japanese and international academic journals.(3)We have formulated mathematical model of the Japanese food supply system using mathematical programming techniques in order to obtain an appropriate and desirable food security policy for Japan. The model objective includes strategically improving Japan's self sufficiency ratio (SSR) as much as possible under the various constraints such as import restriction of some basic food items such as wheat, soybean and corn from several major food exporting countries. Our research results include presentations of these model formulations and numerical result in international academic conferences.(4)We developed the mathematical programming model to deal with the electricity liberalization problems. The model objective includes obtaining optimal introduction of diversified power generating plants such as MGT, GT and others. Less