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

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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.