Original article: Standby system with general repair, reboot delay, switching failure and unreliable repair facility-A statistical standpoint

  • Authors:

  • Ying-Lin Hsu;Jau-Chuan Ke;Tzu-Hsin Liu

  • Affiliations:

  • Department of Applied Mathematics, National Chung Hsing University, Taichung 402, Taiwan, ROC and Institute of Statistics, National Chung Hsing University, Taichung 402, Taiwan, ROC;Department of Applied Statistics, National Taichung Institute of Technology, Taichung 404, Taiwan, ROC;Department of Applied Mathematics, National Chung Hsing University, Taichung 402, Taiwan, ROC

  • Venue:
  • Mathematics and Computers in Simulation
  • Year:
  • 2011

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Abstract

This study statistically examines an availability system with reboot delay, standby switching failures and an unreliable repair facility, which consists of two active components and one warm standby. The time-to-failure and the reboot time are assumed to be exponentially distributed. The repair time of the service station and the time-to-repair of component are assumed to be generally distributed. A consistent and asymptotically normal estimator of availability of such a repairable system is developed. Based on this estimator, interval estimation and testing hypothesis are performed by using logit transformation. To implement the simulation inference for the system availability, two repair-time distributions, lognormal and Weibull distributions, are used. Three Weibull distributions characterized by distinct shape parameters are considered. Finally, all simulation results are displayed as appropriate tables and curves to reveal the performance of the statistical inference procedures.