Computational Complexity of the Recoverable Robust Shortest Path Problem with Discrete Recourse

Marcel Jackiewicz; Adam Kasperski; Paweł Zieliński

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arXiv · 2403.20000

Computational Complexity of the Recoverable Robust Shortest Path Problem with Discrete Recourse

Marcel Jackiewicz·Adam Kasperski·Paweł Zieliński

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Abstract

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 known complexity results for this problem are strengthened. It is shown that it is Sigma_3^p-hard for the arc exclusion and the arc symmetric difference neighborhoods. Furthermore, it is also proven that the inner adversarial problem for these neighborhoods is Pi_2^p-hard.

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Marcel Jackiewicz, Adam Kasperski, Paweł Zieliński. 2024-03-29. Computational Complexity of the Recoverable Robust Shortest Path Problem with Discrete Recourse. https://arxiv.org/abs/2403.20000

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