On the completion time of a job processed on an unreliable machine |
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Authors: | Yue Dequan Tu Fengsheng |
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Affiliation: | (1) Department of Mathematics, Yanshan University, 066004 Qinhuangdao, China;(2) Department of Automation, Nankai University, 300071 Tianjin, China |
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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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Keywords: | Completion time interruption time service time unreliable machine Laplace transform order |
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