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A note on scheduling identical parallel machines with preemptions and setup times

Mourad Boudhar, Alexandre Dolgui, Amina Haned, Abida Kerdali, Sergey Kovalev and Mikhail Y. Kovalyov

International Journal of Production Research, 2025, vol. 63, issue 3, 1203-1208

Abstract: We correct, extend and improve recent algorithmic and computational complexity results for the identical parallel machine scheduling problem with preemptions and setup times preceding uninterrupted job parts. The objective is to minimise the makespan. Our results include a proof of strong NP-hardness for an arbitrary number of machines, and a pseudo-polynomial algorithm and an FPTAS for the two machines case.

Date: 2025
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DOI: 10.1080/00207543.2024.2362414

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