Abstract
The present investigation seeks the steady state availability, reliability and mean time to failure of the 1-out-of (k + 1): G redundant system. A system having k active units (kM) and one unit (1S) as a warm standby redundancy have considered. The effects of various parameters on reliability measures have been analyzed by deriving two models. Model I is designed as a reliability model and Model II for steady state availability. The assumptions have been made that the detected faults in the redundant system is covered imperfectly. The Markov process, supplementary variable technique, Laplace transformation are adopted to determine the transient behavior of the system. Presented results based on numerical data to demonstrate the practical utilization of the developed models. This study is very helpful for the engineers to design a highly reliable redundant system with high profit in the industry.
Highlights
A redundant system is more beneficial in context of system reliability
This research focused on some performance measures such as reliability, mean time to failure, availability, reboot probability, recovery probability and failure frequency of the 1-out-of (k+1): G system
Through the overall study of designed system, authors explained the research by considering a system which consists of two active units and 1 standby unit (2M+1S), authors have concluded that the reliability of the system decreases as time increases; and steady state availability of the system increases during initial period and after that, it will be constant
Summary
In each and every industry, multi-state systems have been used in practice or we can say that over the world, industry has dependency on the systems for their production, packaging, manufacturing etc., so these systems. Many researchers investigated the reliability of various systems using fault coverage technique to improve the performance incorporating various types of failures [1, 2, 16, 21, 30, 31]. Jain [12] proposed a multi component system and discussed some performance indices such as steady state availability, probability of recovery state, probability of rebooting the system and expected number of units for different distribution of repair time. To analyse these measures, they used imperfect fault coverage only for switching, common cause failure and system reboot. In this study, authors determined the reliability measures by considering fault coverage, reboot delay and warm redundancy simultaneously and examined the effects of various parameters on it
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