Multilevel optimization problems with nonconvexities and their applications to smart-grids
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Multilevel optimization problems with nonconvexities and their applications to smart-grids
CoPED ID
1311f7a1-3721-412b-9918-b67f4f2cd653
Status
Active
Value
No funds listed.
Start Date
Aug. 31, 2020
End Date
Aug. 30, 2024
Description
Bi- and more general multilevel optimization problems are a very versatile tool to model problems with multiple competing actors. A classical example are bilevel problems that occur in the design of pricing schemes in eg energy markets. Solution methods for bilevel problems with convex lower level are well understood, nevertheless they remain challenging. Introducing nonconvexities into the lower level (eg integer variables or nonlinear equalities) makes these problems computationally intractable for practical applications. For specific applications, ad hoc methods are known. The goal is to further the theory and develop algorithms for subclasses of these problems that can be applied to pricing problems in smart-grids.
| University of Edinburgh | LEAD_ORG |
| Lars Schewe | SUPER_PER |
| Monserrat Guedes Ayala | STUDENT_PER |
Subjects by relevance
- Algorithms
- Optimisation
Extracted key phrases
- General multilevel optimization problem
- Bilevel problem
- Pricing problem
- Convex low level
- Specific application
- Practical application
- Ad hoc method
- Versatile tool
- Solution method
- Pricing scheme
- Smart
- Grid
- Nonconvexitie
- Classical example
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