Performance analysis of machine repair system with single working vacation |
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Authors: | Gang He |
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Institution: | School of Computer Science and Technology, Southwest University of Science and Technology, Mianyang, China |
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Abstract: | AbstractThis paper studies a machine repair problem with repairman’s single working vacation in which repairman works with a lower repair rate rather than completely terminating repair during vacation period. Employing Markov process theory and matrix analytical method, various system performance measures are obtained in transient and stationary regimes. Moreover, we deduce the system reliability, the mean time to failure, the repairman’s busy period and the waiting time of failed machine by using the probabilistic properties of phase type distribution. Further, some numerical examples are provided. Finally, a cost model is developed to determine the optimum value of operating machines. |
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Keywords: | machine repair system single working vacation matrix analytical method performance measure cost function |
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