ISE 5220 Complementarity Theory & Applications
This course provides detailed descriptions of complementarity models and their solution techniques. It includes algebraic and geometrical interpretations of optimality conditions, equilibria, mathematical programs with equilibrium constraints, equilibrium problems with equilibrium constraints, and insightful applications in the electricity sector. After successfully completing this course the student will be able to formulate, solve and interpret the solutions of complementarity models.
Contents:
0. Welcome
1. Optimization and complementarity
2. Equilibria
07 Equilibria Example — Market
07a GasPowerOperationsEquilibria
3. MPECs
10 MPEC Example — Strategic offering
11 MPEC Example — Vulnerability assessment
12 MPEC Example — Transmission investment
4. EPECs
5. Homeworks
S. Gabriel, A. J. Conejo, B. Hobbs, D. Fuller, C. Ruiz, “Complementarity Modeling in Energy Markets,” Springer, New York. 2012.