[HTML][HTML] Strictly and Γ-robust counterparts of electricity market models: Perfect competition and Nash–Cournot equilibria
A Kramer, V Krebs, M Schmidt - Operations Research Perspectives, 2021 - Elsevier
This paper mainly studies two topics: linear complementarity problems for modeling
electricity market equilibria and optimization under uncertainty. We consider both perfectly …
electricity market equilibria and optimization under uncertainty. We consider both perfectly …
Adjustable Robust Energy Operation Planning under Uncertain Renewable Energy Production
In this paper, the application of the method of affinely adjustable robust optimization to a
planning model of an energy system under uncertain parameters is presented, and the total …
planning model of an energy system under uncertain parameters is presented, and the total …
-Robust electricity market equilibrium models with transmission and generation investments
We consider uncertain robust electricity market equilibrium problems including transmission
and generation investments. Electricity market equilibrium modeling has a long tradition but …
and generation investments. Electricity market equilibrium modeling has a long tradition but …
On the relation between affinely adjustable robust linear complementarity and mixed-integer linear feasibility problems
We consider adjustable robust linear complementarity problems and extend the results of
Biefel et al.(SIAM J Optim 32: 152–172, 2022) towards convex and compact uncertainty sets …
Biefel et al.(SIAM J Optim 32: 152–172, 2022) towards convex and compact uncertainty sets …
Existence of solutions to -robust counterparts of gap function formulations of uncertain LCPs with ellipsoidal uncertainty sets
L Tan, WH Yang, J Pan - Journal of Global Optimization, 2024 - Springer
In this paper, we give some existence theorems of solutions to Γ-robust counterparts of gap
function formulations of uncertain linear complementarity problems, in which Γ plays a role …
function formulations of uncertain linear complementarity problems, in which Γ plays a role …
Existence, Uniqueness, and Algorithms for Equilibria in Competitive Energy Markets
J Grübel - 2022 - ubt.opus.hbz-nrw.de
To achieve climate neutrality, many countries are striving for an energy supply that is free of
fossil fuels and nuclear power and that has a high share of renewable energy sources such …
fossil fuels and nuclear power and that has a high share of renewable energy sources such …
[HTML][HTML] Solution set bounds for LCPs over tensor spaces
T Shang, G Tang, W Jia - Journal of Computational and Applied …, 2024 - Elsevier
The goal of this paper is to investigate a class of linear complementarity problems over
tensor-spaces, denoted by TLCP, which is an extension of the classical linear …
tensor-spaces, denoted by TLCP, which is an extension of the classical linear …
Robust market equilibria under uncertain cost
This work studies equilibrium problems under uncertainty where firms maximize their profits
in a robust way when selling their output. Robust optimization plays an increasingly …
in a robust way when selling their output. Robust optimization plays an increasingly …
A Game Theory Based Retail Market Framework With DSO's Operational Considerations
S Rasheed, AR Abhyankar - IEEE Access, 2023 - ieeexplore.ieee.org
Within the distribution system operator (DSO) framework, there could be alternative
arrangements to enable market participation by all entities, including the privately owned …
arrangements to enable market participation by all entities, including the privately owned …
Two-Stage Robust Quadratic Optimization with Equalities and Its Application to Optimal Power Flow
In this work, we consider two-stage quadratic optimization problems under ellipsoidal
uncertainty. In the first stage, one needs to decide upon the values of a subset of …
uncertainty. In the first stage, one needs to decide upon the values of a subset of …