Title :
Conditional MTTF and its computation in Markov reliability models
Author :
Choi, Hoon ; Trivedi, Kishor S.
Author_Institution :
Duke Univ., Durham, NC, USA
Abstract :
The authors discuss the notion of conditional MTTF (mean time to failure) and develop an efficient computational method for the absorption probability and conditional MTTF in a finite state-space Markov model. The method requires the solution of two systems of linear equations of size n, where n is the number of transient states in the Markov chain. The concept of cumulative conditional MTTF is introduced and applied to computation of the mean time to critical (unsafe, hazardous) failures
Keywords :
Markov processes; reliability theory; state-space methods; Markov reliability models; absorption probability; cumulative conditional MTTF; finite state-space Markov model; linear equations; mean time to failure; transient states; Absorption; Distributed computing; Equations; Fault tolerant systems; Redundancy; Safety; Time measurement;
Conference_Titel :
Reliability and Maintainability Symposium, 1993. Proceedings., Annual
Conference_Location :
Atlanta, GA
Print_ISBN :
0-7803-0943-X
DOI :
10.1109/RAMS.1993.296876
