Abstract
The multi-state models (MSMs) offer higher flexibility and a more precise approximation than the binary state models in the modelling of the system state distribution and its real-world dynamics. After the establishment of classical MSM, subsequent efforts have been made to extend its modelling. In practice, multi-state components or multi-state systems (MSSs) may be requested to work at different performance levels at different times to satisfy the customer's changing demand. Based on MSMs, a number of reliability assessment methods have been proposed. In this chapter, they are classified into four groups. They are mainly developed for the time-independent MSMs. Some of them, e.g. the methods based on minimal path vectors or minimal cut vectors and the universal generating function approach are extended to TDMSMs by B. Natvig and A. Lisnianski and G. Levitin, respectively. The Monte Carlo simulation method is naturally adapted to the time-dependent case.
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