APME_4 - Applied Probability Methods for Engineers Slide...

Info icon This preview shows pages 1–10. Sign up to view the full content.

View Full Document Right Arrow Icon
Applied Probability Methods for Engineers Slide Set 4
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Chapter 17 Reliability Analysis and Life Testing
Image of page 2
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
Image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
System Reliability Diagram We wish to understand system reliability in terms of the components Sample system reliability diagram:
Image of page 4
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
Image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Series Example Four independent components in series, each with reliability 0.995
Image of page 6
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 )]
Image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Components in Parallel
Image of page 8
Parallel Example
Image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 10
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern