A direct method for determination of failure frequency indices using State Space Decomposition
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abstract
Of the many analytical methods used in the determination of steady state reliability indices of discrete capacity systems, the method of state space decomposition is one of the most effective, because of its ability to work with sets of states rather than individual states. In the past, decomposition-based methods have been used mostly for determining only probability indices; in those cases where they have been used to determine frequency and duration indices, the process has been cumbersome. This paper describes a technique for the determination of frequency and duration indices using the method of state space decomposition. For the first time direct, closed form expressions are developed and presented, and an efficient implementation is outlined. The approach is illustrated by means of a numerical example and validated using an enumeration-based method.
