@article {10.3844/jmssp.2005.119.123,
article_type = {journal},
title = {Evaluation of Reliability and Availability Characteristics of Two Different Systems by Using Linear First Order Differential Equations},
author = {El-Said, Khaled M. and EL-Sherbeny, Mohamed S.},
volume = {1},
year = {2005},
month = {Jun},
pages = {119-123},
doi = {10.3844/jmssp.2005.119.123},
url = {https://thescipub.com/abstract/jmssp.2005.119.123},
abstract = {This study deals with the reliability        and availability characteristics of two different series system configurations.        The second system differs from the first system due to the additional feature        of preventive maintenance. The failure times of a components are assumed        to be exponentially distributed with parameters α,β,α' and β', respectively. The replacement        time distribution of each server is also exponentially distributed with        parameters γ, δ and θ. We derive the mean time-to-failure, MTTF, and the        steady-state availability,AT(∞) for the two systems using linear first order        differential equations and perform comparisons theoretically and graphically        to observe the effect of the preventive maintenance on system performance.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}