An introduction to the basics of reliability and risk analysis
The necessity of expertise for tackling the complicated and multidisciplinary issues of safety and risk has slowly permeated into all engineering applications so that risk analysis and management has gained a relevant role, both as a tool in support of plant design and as an indispensable means for...
Saved in:
| Main Author | |
|---|---|
| Format | eBook Book |
| Language | English |
| Published |
New Jersey
World Scientific Publishing Co. Pte. Ltd
2007
World Scientific World Scientific Publishing Company WSPC |
| Edition | 1 |
| Series | Series on quality, reliability & engineering statistics |
| Subjects | |
| Online Access | Get full text |
| ISBN | 9812706399 9789812706393 9812707417 9789812707413 |
| DOI | 10.1142/6442 |
Cover
Table of Contents:
- An introduction to the basics of reliability and risk analysis -- Contents -- 1. Introduction -- 2. Basic Concepts of Safety and Risk Analysis -- 3. Methods for Hazard Identification -- 4. Basics of Probability Theory for Applications to Reliability and Risk Analysis -- 5. Reliability of Simple Systems -- 6. Availability and Maintainability -- 7. Fault Tree Analysis -- 8. Event Tree Analysis -- 9. Estimation of Reliability Parameters from Experimental Data -- Appendix A: Table of Standard Normal Cumulative Distribution -- Appendix B: Table of Chi-square Cumulative Distribution -- Back Cover
- Title Page Table of Contents 1. Introduction 2. Basic Concepts of Safety and Risk Analysis 3. Methods for Hazard Identification 4. Basics of Probability Theory for Applications to Reliability and Risk Analysis 5. Reliability of Simple Systems 6. Availability and Maintainability 7. Fault Tree Analysis 8. Event Tree Analysis 9. Estimation of Reliability Parameters from Experimental Data Appendices
- Intro -- Contents -- 1 . Introduction -- 2 . Basic concepts of safety and risk analysis -- 2.1 A qualitative definition of risk -- 2.2 A quantitative definition of risk -- 2.3 Risk analysis -- References -- 3 . Methods for hazard identification -- 3.1 Hierarchical -- 3.2 Systematic identification of release points (SIRP) -- 3.3 Failure mode and effect analysis (FMEA) -- 3.3.1 Example of FMECA: Domestic Hot Water System -- 3.4 Hazard and operability analysis (HAZOP) -- References -- 4 . Basics of probability theory for applications to reliability and risk analysis -- 4.1 Definitions -- 4.2 Boolean logic operations -- 4.3 Logic of uncertainty: definition of probability -- 4.3.1 Axiomatic Definition -- 4.3.2 Empirical Frequentist Definition -- 4.3.3 Classical Definition -- 4.3.4 Probability space -- 4.4 Probability laws -- 4.4.1 Union of non-mutually exclusive events -- 4.4.2 Conditional Probability -- 4.4.3 Theorem of Total Probability -- 4.4.4 Bayes Theorem -- 4.5 Random variables -- 4.5.1 Probability functions -- 4.5.2 Summary measures: percentiles, median, mean, variance -- 4.5.3 The hazard function -- 4.6 Probability distributions -- 4.6.1 Univariate discrete distributions -- 4.6.2 Univariate continuous distributions -- 4.7 Regression and correlation analyses -- 4.7.1 Regression with constant variance -- 4.7.2 Regression with non-constant variance -- 4.7.3 Multiple linear regression -- 4.7.4 Non Linear Regression -- 4.7.5 Correlation Analysis -- References -- 5 . Reliability of simple systems -- 5.1 Simple system configurations -- 5.2 Series system -- 5.3 Parallel system -- 5.4 r-out-of-N systems -- 5.5 Standby systems -- 5.5.1 Cold Standby -- 5.5.2 Hot Standby -- References -- 6 . Availability and maintainability -- 6.1 Introduction -- 6.2 Availability definition -- 6.3 Contributions to unavailability
- 9.3.5.1 Chi-square test -- 9.3.5.2 Kolmogorov-Smirnov test -- 9.4 Kaplan-Meier estimator of the survivor function -- 9.5 Reliability growth -- 9.5.1 Maximum likelihood estimation -- 9.5.2 Least square estimation -- 9.6 Reliability prediction from stress-strength models -- 9.6.1 Introduction -- 9.6.2 Internal and external causes of stress -- 9.6.3 Physics of failures -- 9.6.4 Reliability from stress-strength distributions -- References -- Appendix A: Table of Standard Normal Cumulative Distribution -- Appendix B: Table of Chi-square Cumulative Distribution
- 6.4 The availability of an unattended component (no repairs) -- 6.5 The availability of a continuously monitored component -- 6.6 The availability of a component under periodic test and maintenance -- 6.6.1 Single component under periodic maintenance: a more realistic case -- 6.7 Maintainability -- 6.8 A policy of preventive and corrective maintenance -- 6.9 A policy of preventive replacement with economical optimization -- References -- 7 . Fault tree analysis -- 7.1 Introduction -- 7.2 Fault tree construction -- 7.3 Qualitative analysis: coherent structure functions and minimal cut sets -- 7.3.1 Structure functions -- 7.3.2 Coherent structure functions and minimal cut sets -- 7.4 Quantitative analysis -- 7.5 Comments -- References -- 8 . Event tree analysis -- 8.1 Introduction -- 8.2 Event tree construction -- 8.3 Event tree evaluation -- References -- 9 . Estimation of reliability parameters from experimental data -- 9.1 Estimation of equipment reliability from tests -- 9.1.1 Complete data set -- 9.1.2 Censored data sets -- 9.1.3 Test plans -- 9.1.4 The method of maximum likelihood applied to test components lifetimes -- 9.1.5 Statistics of exponential components with or without replacement -- 9.1.6 Confidence limits for reliability parameters -- 9.2 Accelerated Life Testing -- 9.2.1 Introduction -- 9.2.2 Experimental designs for ALT -- Design I -- Design II -- Design III -- 9.2.3 Parametric models used in step-stress accelerated tests -- 9.2.4 Exponential distribution under design I -- 9.2.5 Inverse gaussian fatigue failure time distribution under design III -- 9.3 Empirical determination of distribution models -- 9.3.1 Probability paper -- 9.3.2 The normal probability paper -- 9.3.3 The log-normal probability paper -- 9.3.4 Construction of a probability plotting paper -- 9.3.5 Testing the validity of an assumed distribution