English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

This article deals with availability and reliability characteristics for a repairable fault-tolerant system with warm standbys and second optional repair service. The failure times of primary components and warm standby ones are assumed to be exponentially distributed, and the failed components can be repaired by a repairman. For each failed component, the repairman provides two phases of repair service. All the failed components need the first essential repair, whereas only part of them demand the second optional repair. By using Markov theory and solving Matrix equation satisfied by the steady-state probabilities of the system, we present the steady-state availability of the system. By using Laplace transform method, we obtain the reliability function and the mean time to first failure of the system. Numerical examples are given to make research of the effect of the system parameters on the reliability function, steady-state availability and  MTTF .

Availability and reliability analysis of a retrial system with warm standbys and second optional repair service