TRAN650

URBAN SYSTEMS ENGINEERING

COURSE DESCRIPTION:

The course introduces the basic quantitative methods which underline modern urban systems engineering and management science analysis. The basic theory of these methods will be described along with a strong emphasis on the practical application of these techniques; this latter objective is accomplished through the use of various software packages and case studies. In particular, the concepts of mathematical programming, stochastic processes, queuing theory, and modern decision analysis will be presented and applied to a variety of problems arising in transportation and engineering management.

REQUIRED TEXTS:

1. W. L. Winston, Operations Research – Applications and Algorithms, Duxbury, California.
2. F.S. Hiller and G.J. Lieberman, Introduction Operations Research, McGraw-Hill, New York.

TENTATIVE COURSE OUTLINE:

1. Introduction
2. Linear Programming
3. The Simplex Method
4. Duality Theory
5. Sensitivity Analysis
6. Transportation Problems
7. Assignment Problems and Network Analysis
8. Integer Programming
9. Midterm Exam
10. Nonlinear Programming
11. Convex and Concave Functions
12. Queuing Theory
13. Regression Analysis
14. Forecasting Model
15. Project Presentation
16. Final Exam