"Extended Mathematical Programming: Competition and Stochasticity"
March 11, 2013
Duncan Hall 1064
Department of Computer Sciences
Wisconsin Institutes for Discovery
We present a mechanism for describing and solving collections of optimization problems that are linked by equilibrium conditions. Included in this class are classical models such as the PIES model and agent based formulations arising from Nash Games.
We demonstrate this mechanism in the context of energy planning problems, specifically for capacity expansion, hydro operation, and transmission line switching. We show how to incorporate stochastic information into these systems and give examples of their use and their possible extensions to hierarchical modeling.