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Single-machine scheduling with random machine breakdowns and randomly compressible processing times. (English) Zbl 0973.90035
Summary: This work presents a model of single-machine scheduling problem. The machine is failure-prone and subject to random breakdowns. The processing time is a deterministic sequence that is randomly compressible, which may be from the introduction of new technology or addition of new equipment. Taking into account the cost for the random break-downs and the random compressible processing time, our objective is to find the optimal scheduling policy to minimize an objective function. Under simple conditions, it is shown that the optimal sequence possesses a \(V\)-shape property.

MSC:
90B35 Deterministic scheduling theory in operations research
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