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The reliability for a deteriorating system with its repairman having multiple vacations#br#

LIU Bao-liang1, 2,  WEN Yan-qing1, 2   

  1. 1. College of Mathematics and Computer Science, Shanxi Datong University, Datong 037009,   Shanxi, China;
    2. Institute of Statistics, Shanxi Datong University, Datong  037009, Shanxi, China
  • Received:2014-03-05 Online:2014-05-20 Published:2014-06-04

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Abstract: A deteriorative repairable system with a repairman with multiple vacations is considered, i.e. if the system is normal operation, then the repairman takes his vacations, and the vacation time of the repairman is a random variable. If the system is failure, and the repairman is taking his vacation, then the system must be waiting for repairing until the repairman comes back from his vacation. Several reliability indexes for the system are got, i.e. reliability, availability, rate of occurrence of failures and the working probability of the repairman.

Key words: multiple vacations, supplementary variable, Laplace transform, reliability

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