Reliability Modelling: A Statistical ApproachReliability is an essential concept in mathematics, computing, research, and all disciplines of engineering, and reliability as a characteristic is, in fact, a probability. Therefore, in this book, the author uses the statistical approach to reliability modelling along with the MINITAB software package to provide a comprehensive treatment of modelling, from the basics through advanced modelling techniques.The book begins by presenting a thorough grounding in the elements of modelling the lifetime of a single, non-repairable unit. Assuming no prior knowledge of the subject, the author includes a guide to all the fundamentals of probability theory, defines the various measures associated with reliability, then describes and discusses the more common lifetime models: the exponential, Weibull, normal, lognormal and gamma distributions. She concludes the groundwork by looking at ways of choosing and fitting the most appropriate model to a given data set, paying particular attention to two critical points: the effect of censored data and estimating lifetimes in the tail of the distribution.The focus then shifts to topics somewhat more difficult:the difference in the analysis of lifetimes for repairable versus non-repairable systems and whether repair truly ""renews"" the systemmethods for dealing with system with reliability characteristic specified for more than one component or subsystemthe effect of different types of maintenance strategiesthe analysis of life test dataThe final chapter provides snapshot introductions to a range of advanced models and presents two case studies that illustrate various ideas from throughout the book. |
Contents
| 1 | |
Common Lifetime Models | 21 |
Model Selection | 37 |
Model Fitting | 55 |
Repairable Systems | 81 |
System Reliability | 101 |
Models for Functions of Random Variations | 127 |
Maintenance Strategies | 149 |
Life Testing and Inference | 175 |
Advanced Models | 211 |
APPENDIX Useful Mathematical Techniques | 239 |
| 249 | |
| 253 | |
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Common terms and phrases
analysis applied approach appropriate approximately assumed calculated called censored Chapter combined component condition considered cost defined density dependent described deviation diagram distribution effect equations estimate event Example expected exponential expressed factor fail failure Figure function gamma given gives hazard illustrated increasing independent indicates interest interval known length less lifetime likelihood limit lognormal lower maintenance maximum mean measure methods mode MTTF normal noted observations obtained occur operating parallel parameter particular plot population possible practice probability properties proportion random redundancy referred reliability renewal repair replacement represented respectively result sample scale shape shown shows similar simple standard statistic strength stress subsystem Suppose Table thethe uncensored unit variable variance Weibull yields zero