An alternative approach for analyzing reliability networks

is to identify all possible combinations of failure events of the components,

compute the probabilities of those outcomes resulting either in system failure

or in a system success (nonfailure), and sum the individual probabilities to

obtain the system failure probability or reliability. Since each component has

two states, success (S) or failure (F), there are 2″ mutually exclusive

combinations to be considered, where n is the number of components composing

the network. Forthe system of Exercise 5.17, the analysis will take the

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An alternative approach for analyzing reliability networks

is to identify all possible combinations of failure events of the components,

compute the probabilities of those outcomes resulting either in system failure

or in a system success (nonfailure), and sum the individual probabilities to

obtain the system failure probability or reliability. Since each component has

two states, success (S) or failure (F), there are 2″ mutually exclusive

combinations to be considered, where n is the number of components composing

the network. Forthe system of Exercise 5.17, the analysis will take the

following form:

Complete this problem by identifying all possible

combinations and summing the probabilities of those resulting in a system

success. Compare your result with that obtained from the decomposition approach

used in Exercise 5.17.

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