Multilevel optimization problems with nonconvexities and their applications to smart-grids

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Title
Multilevel optimization problems with nonconvexities and their applications to smart-grids
CoPED ID
9de384fe-e380-4e39-afdc-53ef35b0da40
Status
Active
Funders
EPSRC
EPSRC
EPSRC
EPSRC
EPSRC
Value
No funds listed.
Start Date
Aug. 31, 2020
End Date
Aug. 31, 2024
Description

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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.

Miguel F. Anjos SUPER_PER
Lars Schewe SUPER_PER

Subjects by relevance
  1. Problems
  2. Optimisation
  3. Algorithms
  4. Pricing

Extracted key phrases
  1. General multilevel optimization problem
  2. Bilevel problem
  3. Pricing problem
  4. Convex low level
  5. Specific application
  6. Practical application
  7. Eg energy market
  8. Versatile tool
  9. Eg integer variable
  10. Solution method
  11. Pricing scheme
  12. Smart
  13. Grid
  14. Nonconvexitie

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