Abstract
This paper derives an approximate method for solving the steady-state Markov equations. The approximate solutions are determined using the known or easily obtainable solutions of a Markov system whose transition-rate matrix slightly differs from that of the original system. The method suggested makes it possible to derive approximate analytic expressions for the steady-state probabilities of system states and associated reliability indices and/or to calculate their numerical values. The expressions for the error bounds for the method are provided. The method is applied to derive expressions for the state probabilities of two transmission lines sharing the same right of way and exposed to common cause failures, as a demonstration.
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.
