MAPL 699 Optimization and Equilibrium Problems
Mondays, 4:15pm- 5:30pm (MTH 0401)
Dr. Steven A. Gabriel
Project Management Program
Dept. of Civil & Environmental Engineering and
Applied Math & Scientific Computation Program
1143 Martin Hall
University of Maryland, College Park, MD 20742
tel. 301.405.3242, fax 301.405.2585
sgabriel "at" umd.edu
Mondays 10am-11am or by appointment
The Applied Mathematics Seminar is a student-oriented seminar, in which students read books and research papers and report on them. The aim is to develop presentation skills and an exposure to the research literature. Besides making one presentation on a pre-approved topic, a short written description of the material presented will also be required.
Within the last few years, the study of optimization problems has been extended to include problems which find an equilibrium in a system under consideration. The notion of equilibrium is very general and includes for example, the Karush-Kuhn-Tucker (KKT) optimality conditions for nonlinear programs. Other examples in engineering and economics include problems involving nonlinear obstacles, contact mechanics, structural mechanics, elastohydrodyanamic lubrication, traffic equilibrium, Walrasian economic equilibrium, game theory, and energy economic equilibrium. These problems are usually analyzed using the nonlinear complementarity problem (NCP) or variational inequality problem (VIP) format.
This course will be an introduction to both optimization and equilibrium problems with consideration of both the NCP and VIP formulations.