Recoverable Robust Shortest Path Problem Under Interval Budgeted Uncertainty Representations

M Jackiewicz, A Kasperski, P Zieliński - Networks, 2025 - Wiley Online Library
This article deals with the recoverable robust shortest path problem under interval
uncertainty representations. In this problem, a first‐stage path is computed, which can be …

On the Complexity of Recoverable Robust Optimization in the Polynomial Hierarchy

C Grüne, L Wulf - arXiv preprint arXiv:2411.18590, 2024 - arxiv.org
Recoverable robust optimization is a popular multi-stage approach, in which it is possible to
adjust a first-stage solution after the uncertain cost scenario is revealed. We consider …

Recoverable robust shortest path problem under interval uncertainty representations

M Jackiewicz, A Kasperski, P Zielinski - arXiv preprint arXiv:2401.05715, 2024 - arxiv.org
In this paper, the recoverable robust shortest path problem under interval uncertainty
representations is discussed. This problem is known to be strongly NP-hard and also hard to …

On the completeness of several fortification-interdiction games in the Polynomial Hierarchy

AB Tomasaz, M Carvalho, R Cordone… - arXiv preprint arXiv …, 2024 - arxiv.org
Fortification-interdiction games are tri-level adversarial games where two opponents act in
succession to protect, disrupt and simply use an infrastructure for a specific purpose. Many …

On the Complexity of the Bilevel Shortest Path Problem

D Henke, L Wulf - arXiv preprint arXiv:2412.21134, 2024 - arxiv.org
We introduce a new bilevel version of the classic shortest path problem and completely
characterize its computational complexity with respect to several problem variants. In our …

Other Models for Robust Optimization

M Goerigk, M Hartisch - … Optimization: Concepts, Models and Algorithms for …, 2024 - Springer
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Computational Complexity of the Recoverable Robust Shortest Path Problem with Discrete Recourse

M Jackiewicz, A Kasperski, P Zieliński - arXiv preprint arXiv:2403.20000, 2024 - arxiv.org
In this paper the recoverable robust shortest path problem is investigated. Discrete budgeted
interval uncertainty representation is used to model uncertain second-stage arc costs. The …

Ηλ (x)= λ maxx+(1-1) min

M Goerigk, M Hartisch - An Introduction to Robust Combinatorial …, 2024 - books.google.com
Note that for λ= 1, we recover the min-max problem, which means that this approach is more
general (in particular, hardness results that apply to min-max problems also apply to …

General Reformulation Results

M Goerigk, M Hartisch - … Optimization: Concepts, Models and Algorithms for …, 2024 - Springer
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