Robust Bilevel Optimal Dispatch of Park Integrated Energy System Considering Renewable Energy Uncertainty
P Wang, L Zheng, T Diao, S Huang, X Bai - Energies, 2023 - mdpi.com
This paper focuses on optimizing the park integrated energy system (PIES) operation, and a
robust bilevel optimal dispatch is proposed. Firstly, the robust uncertainty set is constructed …
robust bilevel optimal dispatch is proposed. Firstly, the robust uncertainty set is constructed …
Exact methods for discrete -robust interdiction problems with an application to the bilevel knapsack problem
Developing solution methods for discrete bilevel problems is known to be a challenging task—
even if all parameters of the problem are exactly known. Many real-world applications of …
even if all parameters of the problem are exactly known. Many real-world applications of …
Newton and interior-point methods for (constrained) nonconvex–nonconcave minmax optimization with stability and instability guarantees
We address the problem of finding a local solution to a nonconvex–nonconcave minmax
optimization using Newton type methods, including primal-dual interior-point ones. The first …
optimization using Newton type methods, including primal-dual interior-point ones. The first …
The Multi-Commodity Flow Problem with Outsourcing Decisions
E Fernandez, I Ljubic, N Zerega - arXiv preprint arXiv:2406.02439, 2024 - arxiv.org
We address a new prize-collecting problem of routing commodities in a given network with
hub and non-hub nodes, in which the service of the non-hub nodes will be outsourced to …
hub and non-hub nodes, in which the service of the non-hub nodes will be outsourced to …
[PDF][PDF] Connections between Robust and Bilevel Optimization
Robust and bilevel optimization share the common feature that they involve a certain
multilevel structure. Hence, although they model something rather different when used in …
multilevel structure. Hence, although they model something rather different when used in …
[PDF][PDF] Heuristic Methods for Γ-Robust Mixed-Integer Linear Bilevel Problems
Due to their nested structure, bilevel problems are intrinsically hard to solve—even if all
variables are continuous and all parameters of the problem are exactly known. In this paper …
variables are continuous and all parameters of the problem are exactly known. In this paper …
An Extension of the Bertsimas & Sim Result for Discrete, Linear, and Γ-Robust Min-Max Problems
Due to their nested structure, bilevel problems are intrinsically hard to solve even if all
variables are continuous and all parameters of the problem are exactly known. In this paper …
variables are continuous and all parameters of the problem are exactly known. In this paper …