International Urban Earthquake Engineering Center for Mitigating Seismic Mega Risk : Education : Syllabus : Advanced Mathematical Methods for Infrastructure and Transportation Planning

Name of Lecture

Advanced Mathematical Methods for Infrastructure and Transportation Planning

Semester

Spring Semester

Credits

2-0-0

Opening year

Odd Years

Lecturer

Assoc. Prof. Daisuke FUKUDA

Syllabus

[Aims and Scope]

Mathematical methodologies for infrastructure, transportation and city planning will be lectured. These include: (1) Advanced statistical techniques for transportation data analysis, (2) Econometric methods for travel demand forecasting, and (3) Mathematical optimization techniques for project evaluation.

[Outline]

Introduction

Overview of Systems Analysis

Fundamentals of Mathematical Optimization Problem
(Optimization with equality constraints)

Advanced Topics of Mathematical Optimization Problem
(Optimization with inequality constraints and Dynamic programming)

Fundamentals of Statistical Regression Analysis
(Multiple regression analysis)

Advanced Topics of Statistical Regression Analysis
(Simultaneous equation system, Time-series analysis)

Fundamentals of Discrete Choice Model
(Derivation and Estimation of Logit Model)

Advanced Topics of Discrete Choice Model
(Demand Forecasting, Extended Discrete Choice Models)

[Evaluation]

Attendance, Home Work Assignments and Examination

[Text]

Lecture materials will be provided by the lecturer.