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Volume 42 Issue 3
Mar.  2016
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Journal of Beijing University of Aeronautics and Astronautics  > 2016  >  42(3): 569-575.
WEN Yanqing, CUI Lirong, LIU Baolianget al. Cold standby n-component repairable system with repairman vacation[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(3): 569-575. doi: 10.13700/j.bh.1001-5965.2015.0226(in Chinese)
Citation: WEN Yanqing, CUI Lirong, LIU Baolianget al. Cold standby n-component repairable system with repairman vacation[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(3): 569-575. doi: 10.13700/j.bh.1001-5965.2015.0226(in Chinese)
shu

Cold standby n-component repairable system with repairman vacation

doi: 10.13700/j.bh.1001-5965.2015.0226
  • 1.

    School of Mechatronical Engineering, Northwestern Polytechnical University, Xi'an 71007

  • 2. College of Mathematics and Computer Science, Shanxi Datong University, Datong 037009, China

  • 3. School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China

Funds:  National Natural Science Foundation of China(71371031)
  • Received Date: 14 Apr 2015
  • Publish Date: 20 Mar 2016
    Abstract
  • The reliability for a cold standby n-component repairable system with a repairman having multiple vacations is studied. If all of units are in normal state, the repairman may take his vacations, and the vacation time is a random variable. During the repairman's vacation, if a unit online fails to work, one of cold standby components becomes the component online immediately the failure unit will not be repaired until the repairman comes back from his vacation. The operational time of the unit online, the repair time and the vacation time of repairman are governed by different phase-type (PH) distributions, respectively. The system is studied in a transient and stationary regime. The reliability, availability, rate of occurrence of failures and busy probability of repairman are derived by Kronecker operator and Markov process theory. A numerical example is given to illustrate the results obtained.

     

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