Abstract
In this paper, a reliability model of consecutive k/n: F linear retrial system with two-phase repair and Bernoulli vacation is investigated, where failure may occur to all non-failed components even though the system has failed. The failed component joins retrial space and attempts repeatedly for repair if the repairman is not idle. The repairman provides two-phase repair for each component that has failed, namely the first essential repair and the second optional repair. After completing the repair of a failed component, the repairman may leave for a vacation at a probability p. The developed system model is investigated as a Markov process. Various reliability indexes are derived by means of matrix analysis, state set analysis method and the technique of solving differential equations. Numerical experiments are executed to discuss how performance indexes vary as system parameters. Moreover, the system models with and without retrial or vacation in terms of cost-benefit ratio are compared numerically. A relevant potential application is provided to illustrate the proposed model as well.
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.
