Course Description:

Operations research (OR) is the study of scientific approach to decision-making
that typically involves allocating scarce resources in order to maximize or
minimize some function. OR has many applications in engineering,
science, economics, and industry. Thus the ability to solve OR problems is
crucial for both researchers and practitioners. Being able to solve real life
problems requires understanding and modeling the problem correctly and applying
appropriate optimization tools/skills. In this course, we will demonstrate how
to formulate, analyze and solve mathematical models of real-world problems.
Specifically, we will cover linear programming (including simplex algorithm,
duality and sensitivity analysis), network flow problems, integer programs,
nonlinear programs and inventory theory, with the amount of
emphasis depending on the time available. Some optimization commercial packages
will be used to assist understanding of and to gain insight into OR. Students
are expected to be able to build their own formulations, to critically evaluate
the impact of assumptions and to choose an appropriate solution technique at the
end of this course.

Text Books:

Hillier, F.S. and Lieberman, G.J. (2009) Introduction to Operations Research.
McGraw Hill. 10th edition.

Course Evaluation:

Quizzes: 20%
Midterm examination I*: 25%
Midterm examination II*: 25%
Final examination*: 30%

*Missed quizzes will not be made up
**本課程無涉及AI使用