# APME_4 - Applied Probability Methods for Engineers Slide...

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Applied Probability Methods for Engineers Slide Set 4

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Chapter 17 Reliability Analysis and Life Testing
System Reliability Component reliability r Thought of as probability component performs 1 – r is probability component fails System analyzed as a set of components System reliability diagram shows relationship among components Series versus parallel distinction is important

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System Reliability Diagram We wish to understand system reliability in terms of the components Sample system reliability diagram:
Components in Series Components are in series if each must work in order for the system to work If n items are in series, and r i is the reliability of components i (and components are independent), then the system reliability is product of component reliabilities

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Series Example Four independent components in series, each with reliability 0.995
Components in Parallel Components are in parallel if the system is functional whenever at least one is functional P(system is functional) = 1 – P(system fails) P(system fails) is product of individual component failure probabilities (1 – r 1 )(1 – r 2 )…(1 – r n ) P(system is functional) = 1 – [(1 – r 1 )(1 – r 2 )… (1 – r n )]

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Components in Parallel
Parallel Example

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