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Reliability Evaluation for A Class of Multi-Unit Cold Standby Systems under Poisson Shocks

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  • Qingtai Wu
  • Jin Zhang
  • Jiashan Tang

Abstract

The reliability evaluation for a multi-units cold standby system with a switch-over under Poisson shocks is investigated. The random value of each shock is assumed to be i.i.d. with some known distribution. Each arrival of a shock has a random effect on the operating unit and on the switch-over. When the operating unit fails while the switch-over is normal, the next cold standby unit will start to operate immediately. The system fails only when all the units have failed or both the operating unit and the switch-over have failed. The reliability function and the mean time to the failure (MTTF) of the system are obtained.

Suggested Citation

  • Qingtai Wu & Jin Zhang & Jiashan Tang, 2015. "Reliability Evaluation for A Class of Multi-Unit Cold Standby Systems under Poisson Shocks," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(15), pages 3278-3288, August.
    • Handle: RePEc:taf:lstaxx:v:44:y:2015:i:15:p:3278-3288
    DOI: 10.1080/03610926.2013.851232
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