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

Lead Research Organisation: University of Edinburgh
Department Name: Sch of Mathematics


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.


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Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/V520251/1 30/09/2020 31/10/2025
2444750 Studentship EP/V520251/1 31/08/2020 30/08/2024 Monserrat Guedes Ayala