JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2014, Vol. 49 ›› Issue (10): 62-65.doi: 10.6040/j.issn.1671-9352.0.2014.087

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Reliability analysis of a warm standby repairable system with unreliable transfer switch

ZHANG Quan, HAN Yang, GUAN Bao-ling, LI Yan-jun   

  1. College of Science, Qiqihaer University, Qiqihaer 161006, Heilongjiang, China
  • Received:2014-03-07 Online:2014-10-20 Published:2014-11-10

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Abstract: A warm standby repairable system consisting of two different units and one repairmanis was studied.The switch is not completely reliable, as long as the switch failure, system failure immediately. It is assumed that the working time distributions and the repair time distributions of the two units and the transfer switch are both exponential, and unit 1 is given priority than unit 2 in use and repair. Both unit 1 and unit 2 are repaired “as good as new”. The switch taking change of the switching work between the working unit and the standby unit is an important part of the system and has the priority in repair. Under these assumptions, the Markov process governing the system is constructed and some important reliability indexes are derived by using the aggregated stochastic processes and the Laplace transform. Finally, a numerical example is given to illustrate the theoretical results of the model.

Key words: warm standby system, MTTFF, the aggregated Markov process, reliability

CLC Number: 

  • O213
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