Evaluation of Reliability and Availability Characteristics of Two Different Systems by Using Linear First Order Differential Equations | Science Publications

Journal of Mathematics and Statistics

Khaled M. El-Said¹  Mohamed S. EL-Sherbeny¹ 

关键词: Reliability and Availability Characteristics;    Preventive Maintenance;    System Performance;   

DOI  :  10.3844/jmssp.2005.119.123

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

This study deals with the reliabilityand availability characteristics of two different series system configurations.The second system differs from the first system due to the additional featureof preventive maintenance. The failure times of a components are assumedto be exponentially distributed with parameters α,β,α' and β', respectively. The replacementtime distribution of each server is also exponentially distributed withparameters γ, δ and θ. We derive the mean time-to-failure, MTTF, and thesteady-state availability,A_T(∞) for the two systems using linear first orderdifferential equations and perform comparisons theoretically and graphicallyto observe the effect of the preventive maintenance on system performance.

【 授权许可】

Unknown