On the complexity of a maintenance problem for hierarchical systems

preprint2023arXivOpen access

Abstract

We prove that a maintenance problem on frequency-constrained maintenance jobs with a hierarchical structure is integer-factorization hard. This result holds even on simple systems with just two components to maintain. As a corollary, we provide a first hardness result for Levi et al.'s modular maintenance scheduling problem (Naval Research Logistics 61, 472-488, 2014).

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