Abstract
Problem statement: Many authors have studied k-out of-n repairable system with dependent failure and standby support. The question was raised whether the repair and standby units support increase the reliability of the system. Determine the efficiency of repair and standby support on the reliability of the system. Approach: In this study the statistical analysis of k-out of-n repairable system with dependent failure and standby support were discussed. Several reliability characteristics are obtained by using Kolmogorov's forward equations method. After the model is developed a particular case study is discussed to validate the theoretical results, a numerical computation are derived. Tables and graphs have been also given in the end. Results: The results indicated that the system with repair and standby support is better than the system without repair and standby support. Conclusion: These results indicated that the system with repair of its failed parts and standby redundancy facility increased the reliability of the system.
Highlights
When a system is constructed, it is assumed that the failure of any unit in k-out of-n systems does not affect the functioning of the system
It was observing that: The increase of failure rate λp at constant λc = 0.003, λβ = 0.007, λ4 = 0.01, λ3 = 0.03, μ1 = 0.1, μ2 = 0.2, μ3 = 0.3, μ4 = 0.4, R =1000, C = 100, the Mean time to system failure (MTTF) of the system decreases for both systems with repair and standby and with repair and without standby and without repair and standby
We conclude that: the busy period of the system with repair and standby is greater than the system with repair and without standby
Summary
When a system is constructed, it is assumed that the failure of any unit in k-out of-n systems does not affect the functioning of the system. In practice, the failure of any working unit of a system results in the reduction of the efficiency of the whole system. It increases stress on the others ones and as the result, the failure rate of functional ones increased and the reliability of the system reduced. The redundancy in a system is usually employed to design highly reliable systems. If resources are allocated to repair failed components, we should be able to keep for a much longer time. introducing redundant parts and repairing a failed units may achieve high degree of reliability
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call