Title :
Mean Residual and Mean Past Lifetime of Multi-State Systems With Identical Components
Author :
Eryilmaz, Serkan
Author_Institution :
Dept. of Math., Izmir Univ. of Econ., Izmir, Turkey
Abstract :
Mean residual, and mean past lifetime functions are important reliability measures for evaluating systems´ performance. These functions have been successfully used in binary state reliability analysis. This paper studies mean residual, and mean past lifetime concepts for multi-state systems. We evaluate mean residual, and mean past lifetime functions of one unit multi-state systems, and multi-state -out-of- :G systems under the assumption that the degradations in systems and components follow an acyclic Markov process which has a discrete state space.
Keywords :
Markov processes; discrete systems; reliability; state-space methods; acyclic Markov process; binary state reliability analysis; discrete state space; identical components; mean past lifetime; mean residual; multistate systems; system performance evaluation; Degradation; Markov processes; Mathematics; Modeling; Random variables; Reliability theory; State-space methods; Stochastic processes; Mean past lifetime; mean residual lifetime; mixture representation; multi-state systems;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.2010.2054173