Study on the applicability of mathematical models for facility location and resource allocation problems

2.Oyama，T.《最短路径问题及相关问题》，日本运筹学通讯，1997年12月。我们综述了数学建模技术在解决公共部门出现的各种问题中的理论和应用。我们的工作于1998年4月出版，名为《公共部门或手册》(翻译自运筹学和管理科学手册)。这本书包含了在一般公共部门使用的运筹学技术的理论和应用，包括应急设施选址问题、风险预测和管理、危险设施选址问题、环境质量管理、问题和一般建模分析的指南等。调查中还介绍了建模的公式技术，这将有助于我们建立自己的模型，以解决公共部门出现的各种问题。我们发表了几篇与数学建模技术有关的论文，如1。Oyama、T.“数学建模分析和基本公式技术”，日本OR学会通讯，1998年第4期。第一篇论文综述了系统分析中使用的各种数学模型技术，主要集中在网络模型公式。它还包括数学建模技术应用的未来前景。第二篇论文研究最短路径问题，包括最短路径理论及其在大都市区交通问题中的应用。

2. Oyama, T. "Shortest path problems and related matters", Communications of OR Society of Japan, 12,1997.We surveyed theories and applications of mathematical modelling techniques to solving various problems appearing in public sectors. Our work came out as "Public Sector OR Handbook" (Translation from Handbooks in Operations Research and Management Science) in April, 1998. This book contains both theory and application of OR techniques used in general public sectors, including emergency facility location problems, risk forecasting and management, hazardous facility location problems, quality management of environments, problems and guidelines for general modeling analyses, and so on. Formulation techniques for modeling are also described in the survey, which will help us building our own models to solve various problems appearing in public sectors.We published several papers related to mathematical modelling techniques such as1. Oyama, T. "Mathematical modelling analyses and basic formulation techniques", Communications of OR Society of Japan, 4, 1998The first paper surveys various mathematical modelling techniques used in systems analyses mainly focused on network modeling formulation. It also includes future prospects for the application of mathematical modelling techniques. The second paper deals with shortest path problems including theory and its application to traffic problems in the metropolitan areas.