On the completion time of a job processed on an unreliable machine

On the completion time of a job processed on an unreliable machine

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Article ID: iaor20023572
Country: China
Volume: 17
Issue: 3
Start Page Number: 418
End Page Number: 425
Publication Date: Jul 2001
Journal: Acta Mathematicae Applicatae Sinica
Authors: ,
Keywords: statistics: distributions
Abstract:

In this paper, we consider the completion time of a job processed on an unreliable machine. Assume that the lifetime and the repair time of the machine and the service time of the job have general distributions. We obtain the Laplace–Stieltjes transforms and the expectations of the distributions of the completion time, the interruption time and the actual service time. Under some special cases, we derive sufficient and necessary (or sufficient) conditions such that the completion time is larger and smaller than the service time in the sense of the Laplace transform order (or the expectation), respectively.

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