APME_4 - Applied Probability Methods for Engineers Slide...

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Click to edit Master subtitle style Applied Probability Methods for Engineers Slide Set 4
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Click to edit Master subtitle style Chapter 17 Reliability Analysis and Life Testing
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System Reliability n Component reliability r n Thought of as probability component performs n 1 – r is probability component fails n System analyzed as a set of components n System reliability diagram shows relationship among components n Series versus parallel distinction is important
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System Reliability Diagram n We wish to understand system reliability in terms of the components n Sample system reliability diagram:
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Components in Series n Components are in series if each must work in order for the system to work n If n items are in series, and ri 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 n Four independent components in series, each with reliability 0.995
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Components in Parallel n Components are in parallel if the system is functional whenever at least one is functional n P(system is functional) = 1 – P(system fails) n P(system fails) is product of individual component failure probabilities (1 – r1)(1 – r2) …(1 – rn) n P(system is functional) = 1 – [(1 – r1)(1 – r2)… (1 – rn)]
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Components in Parallel
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This note was uploaded on 10/27/2010 for the course ESI 6321 taught by Professor Josephgeunes during the Spring '07 term at University of Florida.

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APME_4 - Applied Probability Methods for Engineers Slide...

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