Mathematical Analysis on Optimal Allocation under Various Conditions

（1）国际会议（主要内容简述，详情见第4页的研究报告）1.21届欧洲运筹学会议（2006年7月冰岛）石井关于有障碍的设施选址问题第2届捷克-日本不确定性下的数据分析与决策研讨会（2006年8月北九州）石井关于模糊运输问题第14届ISIR（2006年8月布达佩斯）石井，关于模糊库存问题4.亚洲模糊系统学会国际会议（2006年9月，Boeding中国）石井关于应急设施问题，齐藤关于模糊微分方程5.韩国日本研讨会关于使用数学评价方法评估社会政策的有效性（2006年10月，韩国首尔）石井关于数学选择方法，Shiode关于竞争性设施选址问题6.第12届亚太管理会议（2006年11月，泰国曼谷）石井关于救护设施选址问题，奥原关于供应链管理中的牛鞭效应 ...更多信息 nt7.IML 2007（2007年2月北九州）石井关于不确定性和模糊性下的产品组合问题包括2005年的演讲共40余篇）（2）出版物6篇出版论文和1篇论文集（虽然被选作选编论文）除这些论文外，还有许多论文集是经过评审后出版的，这些论文集在研究报告中被引用。（3）主要结果：1.通过对设施选址问题和交通问题的研究，特别是在城市规划中的应用，取得了一定的理论进展。我们的研究不仅从居民方面，而且从建设方面都是非常有用的，它可能是原创的（设施选址的偏好函数）。2.从理论和实践的角度对政策和生产的最优配置进行了研究。（3）在研究最优配置时考虑了环境分析和投资组合问题）特别是在不确定性和模糊性的情况下，采用情景分析的有效算法，以及在模糊分析中产生的非线性问题的有效求解方法。（4）进一步拓展1.与台湾中华大学都市规划系叶教授展开国际合作，以“人性化都市规划的数学研究（各种服务、交通设施等基础设施的最佳促进）”为主题。2.<nd>今年还计划与韩国航空大学（Hankuk Aviation University Korea）举办第二届韩日数学评估研讨会。少

(1)InternationalConference (major ones briefly and so for details see research report from p.4)1.21th Euro conference on Operation Research (2006, July Iceland) Ishii about Facility Location problem with barrier2.9 th Czech-Japan Seminar on data Analysis ＆ Decision making under Uncertainty (2006,August Kitakyushu) Ishii about Fuzzy Transportation Problem3.14 th ISIR (2006,August Budapest) Ishii, about Fuzzy Inventory Problem4.Asia Fuzzy system Society International Conference (2006,September Boeding China) Ishii about Emergency facility problem, Saito about Fuzzy Differential Equation5.The Korea Japan workshop on effective Evaluation of social Policy using Mathematical evaluation Methods (2006,October Seoul Korea) Ishii about mathematical Selection Method, Shiode about Competitive facility location problem6.12 th Asia Pacific Management Conference (2006,November, Bangkock, Thailand) Ishii about Ambulance Facility Location problem, Okuhara about Bullwhip effects in suuply Chain Manageme … More nt7.IML 2007(2007,February Kitakyushu)Ishii about Product Mix Problem under Uncertainty and Ambiguity Totally more than 40 including 2005's presentation).(2)Publication6 Publication papers and one Proceedings (though chosen as a selected paper) Except these papers, many proceedings are published after refereed these are cited in the research report.)(3)Main ResultsTheoretical progress on Optimal allocation is done.1.Especially application to urban Planning is promising from our research about facility location problem and that about transportation problem. Our research not only from resident side but from construction is very useful and it may be original (Preference Function of the facility site).2.Optimal allocation on Policy and Production is done from theoretical and practical view points. Especially research from a customer side is done (mass customerization, points from choosing side)3.Environmental analysis and Portfolio Problem are considered inour research on optimal allocation) Especially, efficient algorithms under uncertainty and ambiguity situation using scenario analysis, and efficient solution methods on nonlinear problem arising from fuzzy analysis.(4)Further extension1.International Collaboration with professor Yeh in Urban Planning Departmet, Chung Kung University, Taiwan) is started Project theme is "Mathematical Research on Human friendly Urban Planning (Optimal promotion of fundamental infrastructure such as various service and traffic facilities)".2.The 2^<nd> Korea Japan seminar on mathematical evaluation is also planned with Hankuk Aviation University Korea this year. Less