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152. Solving Equilibrium Problems in Infrastructure using the Difference of Convex Functions Algorithm
Invited abstract in session MB-21: Energy sector coupling, optimization and equilibrium, stream OR in Energy.
Monday, 10:30-12:00Room: 49 (building: 116)
Authors (first author is the speaker)
| 1. | Steven Gabriel
|
| Mech. Engin./ Applied Math and Scientific Computation Program, University of Maryland | |
| 2. | Dominic Flocco
|
| Department of Mathematics, University of Maryland | |
| 3. | Trine Krogh Boomsma
|
| Department of Mathematical Sciences, University of Copenhagen | |
| 4. | Martin Schmidt
|
| Department of Mathematics, Trier University | |
| 5. | Miguel Lejeune
|
| George Washington University |
Abstract
We describe a novel application of the difference of convex function algorithm (DCA) to a variety of equilibrium problems using the mixed complementarity problem (MCP) format. These problems involve bilinear constraints, i.e., complementarity and can be approximated iteratively via convex subproblems using DCA. We develop the necessary theory to make this possible and showcase how it works on several MCPs in energy and other infrastructure.
Keywords
- Convex Optimization
- OR in Energy
- Game Theory
Status: accepted
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