Gaver's Parallel System Attended by a Cold Standby Unit and a Repairman with Multiple Vacations
Gaver's Parallel System Attended by a Cold Standby Unit and a Repairman with Multiple Vacations
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发表时间：
2006
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通讯作者：
Y. De-quan
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作者：
Y. De-quan
本文研究了由一个冷备用机组和一个多假期修理工组成的Gaver并联可修系统。假设机组运行时间呈指数分布，维修时间和休假时间呈一般连续分布。利用向量马尔可夫过程理论和拉普拉斯变换方法，得到了系统可靠性、平均首次故障时间、稳态可用性和稳态故障频率等参数的拉普拉斯变换。此外，通过数值比较研究了各参数对系统稳态可用性的影响，并对系统的效益进行了分析。
This paper studies the Gaver's parallel repairable system attended by a cold standby unit and a repairman with multiple vacations.It is assumed that the operating time of units has an exponential distribution,while the repair-time and the vacation time have general continuous distributions.Using vector Markov process theory and Laplace transform method,we obtain the Laplace transform of the reliability,the mean time to first failure,the steady-state availability and the steady-state failure frequency and so on.In addition,we also investigate the parameters' effect on the steady-state availability by numerical comparison and analyze the benefit of the system.