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arXiv · 2608.15836

Recoverable robust representatives selection problem under interval continuous budgeted uncertainty

Marcel Jackiewicz·Adam Kasperski·Pawel Zielinski
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Abstract

In this paper, the recoverable robust representative selection problem is considered, where uncertain second-stage costs are modeled using interval uncertainty with a continuous budget. While the variant under a discrete uncertainty budget is known to be NP-hard, we show that transitioning to a continuous budget fundamentally alters the computational complexity landscape. Specifically, by exploiting the structural properties of the problem under the continuous budget model, we design a strongly polynomial-time algorithm for the general case. Furthermore, we propose an even more efficient strongly polynomial-time algorithm for an important special case.

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Marcel Jackiewicz, Adam Kasperski, Pawel Zielinski. 2026-08-16. Recoverable robust representatives selection problem under interval continuous budgeted uncertainty. https://arxiv.org/abs/2608.15836

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