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

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