Abstract
For the reliability modeling of multistate single-component system, single maintenance bench provides the preventive maintenance and alternative maintenance services on the basis of system performance level following the stochastic detection strategy. Phase-type distribution is employed in place of exponential distribution and other typical distributions to describe the stochastic time variable in the reliability modeling process in a unified manner. Through matrix analysis, the analytic expressions for reliability indicators including system steady-state availability, mean time between failures (MTBF) and failure rate of system are obtained. A numerical application is presented to verify the applicability of the model and demonstrate the influence of preventive maintenance threshold and preventive maintenance rate on system reliability.
Highlights
In the ship, nuclear power and aviation fields, large equipments feature complicated structural relationship, and their parts undertake all kinds of functions
When m = 1, i.e. the performance level {1} is at the intact state, and {2,3, 4} is at the common state, data are submitted into the model to obtain the steady-state availability A1 = 0.8236, A2 = 0.9985 ; mean time between failures of system MTBF = 11.9588 ; mean time between maintenances Mean Time between Maintenances (MTBM) = 4.7768 ; and failure rate of system r = 0.0035
To vividly display the influence of preventive maintenance rate and preventive maintenance threshold on system reliability, exponential distribution is utilized as a special case of PH distribution to present the influence of preventive maintenance rate on system reliability
Summary
Nuclear power and aviation fields, large equipments feature complicated structural relationship, and their parts undertake all kinds of functions. To improve the applicability of model and maintain its good analytical ability under the typical distribution, Neuts [5] put forth the PH distribution in 1975, as PH distribution could keep the easy calculation of exponential distribution, while favorably fitting other distributions on the non-negative axis. In this way, PH distribution could be applied extensively in the reliability field. This paper assumes that a single-component system has a single maintenance bench, and employs the stochastic detection strategy to perform preventive maintenance based on the performance level of the system, and carry out the corrective maintenance during the complete failure. Considering the problems of strict constraints and limited applicability of the past reliability model, PH distribution is utilized to describe the hold time, time between detections, preventive maintenance time, and corrective maintenance time of the system at each performance level, build a more applicable reliability model, and obtain the expression for important reliability parameters including system steady-state availability and reliability functions, etc
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
