4s-1Reliability William J. Stevenson Operations Management 8 th edition.

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4s-1Reliability William J. Stevenson Operations Management 8 th edition

4s-2Reliability CHAPTER 4s Reliability McGraw-Hill/Irwin Operations Management, Eighth Edition, by William J. Stevenson Copyright © 2005 by The McGraw-Hill Companies, Inc. All rights reserved.

4s-3ReliabilityReliability  Reliability : The ability of a product, part, or system to perform its intended function under a prescribed set of conditions  Failure : Situation in which a product, part, or system does not perform as intended  Normal operating conditions: The set of conditions under which an item’s reliability is specified

4s-4Reliability  Probability that the product or system will:  Function when activated  Function for a given length of time  Independent events  Events whose occurrence or nonoccurrence do not influence each other  Redundancy  The use of backup components to increase reliability Reliability is a Probability

4s-5Reliability Rule Lamp 1Lamp 2.90 x.80 =.72

4s-6Reliability Rule (1-.90)*.80 =.98 Lamp 1 Lamp 2 (backup)

4s-7Reliability Rule [(1-.90)*(1-.80)*(1-.70)] = – P(all fail) Lamp 1 Lamp 2 (backup for Lamp1) Lamp 3 (backup for Lamp 2)

4s-8Reliability Example S-1 Reliability Determine the reliability of the system shown

4s-9Reliability Example S-1 Solution The system can be reduced to a series of three components (1-.90) (1-.95).98 x.99 x.996 =.966

4s-10Reliability Failure Rate Figure 4S.1 Few (random) failures Infant mortality Failures due to wear-out Time, T Failure Rate

4s-11Reliability Exponential Distribution Reliability = e -T/MTBF 1- e -T/MTBF TTime Figure 4S.2

4s-12Reliability Normal Distribution Reliability 0z Figure 4S.3

4s-13ReliabilityAvailability  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

4s-14Reliability Improving Reliability  Component design  Production/assembly techniques  Testing  Redundancy/backups  Preventive maintenance procedures  User education  System design

4s-15Reliability Additional PowerPoint slides contributed by Geoff Willis, University of Central Oklahoma. 4s CHAPTER

4s-16ReliabilityReliability  Probability  Failure  Normal operating conditions (remember Taguchi)  Redundancy

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