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Minimizing makespan on a single machine subject to random breakdowns. (English) Zbl 1080.90048
Oper. Res. Lett. 34, No. 1, 29-36 (2006); erratum 36, No. 1, 140 (2008).
Summary: We investigate optimal sequencing policies for the expected makespan problem with an unreliable machine, where jobs have to be reprocessed in their entirety if preemptions occur because of breakdowns. We identify a class of uptime distributions under which LPT minimizes expected makespan.

MSC:
90B36 Stochastic scheduling theory in operations research
90B25 Reliability, availability, maintenance, inspection in operations research
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