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Chapter 4 Supplement Reliability

Chapter 4 Supplement Reliability. Reliability: the probability that a manufactured good, piece of equipment, or system performs its intended function for a stated period of time under specified operating conditions. Several ways to looking at reliability: First view:

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Chapter 4 Supplement Reliability

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  1. Chapter 4 SupplementReliability Saba Bahouth – UCO

  2. Reliability:the probability that a manufactured good, piece of equipment, or system performs its intended function for a stated period of time under specified operating conditions. • Several ways to looking at reliability: • First view: • Related to the probability of working properly when needed. • Second view: • Related to the life of the product (How long does it work before it breaks) • Probability of a product serving longer than a specified period of time Saba Bahouth – UCO

  3. RP = 0.98 RL = 0.95 RF = 0.97 Saba Bahouth – UCO

  4. Example of Overhead Projector RP = 0.98 RL = 0.95 RF = 0.97 RbL= 0.96 Rs = 0.94 Saba Bahouth – UCO

  5. Probability of first component working Probability of second component working + x Providing Backups Rss = Rm + {(1-Rm) x Rb} Probability of needing second component Rss = Saba Bahouth – UCO

  6. 100 80 60 40 20 0 n=1 n=10 Reliability of the System (Percent) n=50 n=100 n=300 n=400 n=200 100 99 98 97 96 Average Reliability of all Components (Percent) System Reliability - Components in Series Saba Bahouth – UCO

  7. .80 .70 .90 Basic Rule Lamp 3 (backup for Lamp 2) Lamp 2 (backup for Lamp1) 1 – P(all fail) 1-[(1-.90)*(1-.80)*(1-.70)] = .994 Lamp 1 Saba Bahouth – UCO

  8. Availability The fraction of time a piece of equipment is expected to be available for operation. MTBF = mean time between failures MTR = mean time to repair Saba Bahouth – UCO

  9. Infant mortality Regular failure Wear-out failure Failure rate Lifetime Saba Bahouth – UCO

  10. Improving Reliability • Component design • Production/assembly techniques • Testing • Redundancy/backups • Preventive maintenance procedures • User education • System design Saba Bahouth – UCO

  11. Reliability = e -T/MTBF 1- e -T/MTBF T Time Exponential Distribution Saba Bahouth – UCO

  12. Reliability 0 z Normal Distribution Saba Bahouth – UCO

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