Statistical inference for the availability of repairable system with general repair, reboot delay, and switching railure. Issue 1 (2nd January 2017)

• Record Type: Journal Article
• Authors: Liu, Tzu-Hsin; Ke, Jau-Chuan; Yen, Meng-Feng; Hsu, Ying-Lin
• Is Part Of: Communications in statistics. Volume 46:Issue 1(2017)
• Page Start: 579
• Page End: 592
• Publication Date: 2017-01-02
• Subjects: Availability -- Hypothesis test -- Logit transformation -- Power function -- Reboot delay -- Simulation -- Standby switching failure; 60K10 -- 62F12; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2014.970699
• Languages: English
• ISSNs: 0361-0918

Abstract

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.