## Systems Analysis & Exe. for Plan. & Mng.

JA | EN

 科目ナンバリング U-ENG23 23507 LE73 開講年度・開講期 2020・後期 単位数 2 単位 授業形態 演習 対象学生 学部生 使用言語 英語 曜時限 月1・2 教員 SCHMOECKER，Jan-Dirk（工学研究科 准教授） 授業の概要・目的 Attendants of this course should already have a basic knowledge about planning of civil engineering projects. In this course students will learn about this subject in a more systematic way. Students will be introduced to policy-making, management and planning and in particular to useful mathematical tools for doing so. They will gain a deeper understanding of linear, nonlinear and dynamic programming. This is achieved through lectures, and practical exercises with these methods. 到達目標 This course aims to provide students with the basic knowledge required for planning of civil engineering projects and to provide an understanding of basic planning theory and its role. The focus is on mathematical planning methods for system design. By attending this lecture students should obtain the basic knowledge and thinking of planners. Further, students should understand the importance of the above mentioned three programming methods as useful mathematical tools for creating plans. Finally students should obtain practical skills through exercises. 授業計画と内容 Week 1 and 2: Basic Theory of Civil Engineering Planning (CEP): These lectures provide a basic overview of CEP and teach about the science underpinning CEP. Therefore lectures introduce the students to the role of OR, economics, psychology, sociology and political science in CEP.Weeks 3 to 7: Linear programming (LP), Lectures about LP as basic method for mathmatecial planning. Various issues of LP are discussed and in particular the Gauss Jordan Elimination Method and the Simplex methods are taught. Further the dual problem, marginal value and sensitivity analysis are introduced.Weeks 8-11: Non linear programming (NLP), NLP formulation of problems, global optimality, and description as programming problem. Optimality conditions of nonlinear programming problems (Lagrange function, Kuhn Tucker conditions) are examined.Weeks 12-14: Dynamic programming (DP), These lectures will introduce DP as a useful tool to solve complex systems. Formulation and solution of DP problems are discussed. Further, PERT as DP network method is introduced, describing process management based on arrow diagrams.This is followed by exam and feedback class. 成績評価の方法・観点 Assignments 15%, Midterm Exam 35%; Final Exam 50% 履修要件 Students are assumed to have taken the calculus courses. 授業外学習（予習・復習）等 Handouts should be reviewed by students, homework will be given with exercises reviewing the class content. 教科書 Handouts distributed during the lectures 参考書等 Introduction to Operations Research , Hillier,F.S. Lieberman,G.J., ISBN: ISBN:9781259253188 Civil Engineering Planning System Analysis (Optimization Guide), Iida, Y., ISBN: ISBN:4627427204 Civil Engineering Planning System Analysis (Behaviour Analysis), Iida, Y./ Okada, N., ISBN: ISBN:4627427301 Infrastructure planning studies, Fujii, S., ISBN: ISBN:9784761531669 