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Discretely-Constrained Mathematical Programs

Principal Investigator(s): 

Abstract: 

equilibrium constraintsDr. Steven A. Gabriel, Yohan, Shim (Ph.D. candidate UMD), Dr. Antonio Conejo, Dr. Raquel García-Bertrand (UCLM=Universidad de Castilla- La Mancha, Ciudad Real, Spain), and Dr. Sebastian de la Torre (UMA=Universidad de Málaga) are developing methods to solve discretely-constrained mathematical programs with equilibrium constraints (MPECs) with applications in energy. These problems involve a upper planning level as well as a lower operational level. Typically the top level will contain some discrete variables (e.g., turning on/off generators, building pipelines) whose values will be fixed in the bottom level optimization or Nash-Cournot game.