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arXiv · 2410.09425

Computational complexity of the recoverable robust shortest path problem in acyclic digraphs

Adam Kasperski·Pawel Zielinski
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Abstract

In this paper, the recoverable robust shortest path problem in acyclic digraphs is considered. The interval budgeted uncertainty representation is used to model the uncertain second-stage costs. The computational complexity of this problem has been open to date. In this paper, we prove that the problem is strongly NP-hard even for the case of layered acyclic digraphs. We also show that for the discrete budgeted uncertainty, the problem is not approximable unless P=NP.

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Adam Kasperski, Pawel Zielinski. 2024-10-12. Computational complexity of the recoverable robust shortest path problem in acyclic digraphs. https://arxiv.org/abs/2410.09425

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