Statistical inference for the availability of repairable system with general repair, reboot delay, and switching railure

Tzu Hsin Liu, Jau Chuan Ke, Meng Feng Yen, Ying Lin Hsu

Research output: Contribution to journalArticlepeer-review

Abstract

We studied the inferences of an availability system with reboot delay and standby switching failures in which the system consisted of two operating units and one warm standby. The system was studied under the assumption that the time-to-failure and the time-to-repair were assumed to follow an exponential and a general distribution. The reboot times are assumed to be exponentially distributed with parameter β. We constructed a consistent and asymptotically normal estimator of availability for such a repairable system. Based on this estimator, interval estimation and testing hypothesis were developed by using logit transformation. To implement the simulation inference for the system availability, we adopted two repair-time distributions—namely, lognormal and Weibull; and three types of Weibull distributions—characterized by their shape parameters—were considered. Finally, appropriate tables and figures of all simulation results have been included.

Original languageEnglish
Pages (from-to)579-592
Number of pages14
JournalCommunications in Statistics: Simulation and Computation
Volume46
Issue number1
DOIs
Publication statusPublished - 2017 Jan 2

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modelling and Simulation

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