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Preface | p. xi |
Prelude | p. xiv |
Reliability and Hazard Functions | p. 1 |
Introduction | p. 1 |
Reliability Definition and Estimation | p. 3 |
Hazard Functions | p. 15 |
Multivariate Hazard Rate | p. 55 |
Competing Risk Model and Mixture of Failure Rates | p. 59 |
Discrete Probability Distributions | p. 64 |
Mean Time to Failure | p. 67 |
Mean Residual Life (MRL) | p. 70 |
Time of First Failure 71 Problems | p. 73 |
References | p. 85 |
System Reliability Evaluation | p. 87 |
Introduction | p. 87 |
Reliability Block Diagrams | p. 87 |
Series Systems | p. 91 |
Parallel Systems | p. 93 |
Parallel-Series, Series-Parallel, and Mixed-Parallel Systems | p. 95 |
Consecutive-k-out-of-n: F System | p. 104 |
Reliability of k-out-of-n Systems | p. 113 |
Reliability of k-out-of-n Balanced Systems | p. 115 |
Complex Reliability Systems | p. 117 |
Special Networks | p. 131 |
Multistate Models | p. 132 |
Redundancy | p. 138 |
Importance Measures of Components | p. 142 |
Problems | p. 154 |
References | p. 167 |
Time-And Failure-Dependent Reliability | p. 170 |
Introduction | p. 170 |
Nonrepairable Systems | p. 170 |
Mean Time to FaUure (MTTF) | p. 178 |
Repairable Systems | p. 187 |
Availability | p. 198 |
Dependent Failures | p. 207 |
Redundancy and Standby | p. 212 |
Problems | p. 222 |
References | p. 231 |
Estimation Methods of the Parameters of Failure-Time Distributions | p. 233 |
Introduction | p. 233 |
Method of Moments | p. 234 |
The Likelihood Function | p. 241 |
Method of Least Squares | p. 256 |
Bayesian Approach | p. 261 |
Generation of Failure-Time Data | p. 265 |
Problems | p. 267 |
References | p. 272 |
Parametric Reliability Models | p. 273 |
Introduction | p. 273 |
Approach 1: Historical Data | p. 273 |
Approach 2: Operational Life Testing | p. 274 |
Approach 3: Burn-In Testing | p. 275 |
Approach 4: Accelerated Life Testing | p. 275 |
Types of Censoring | p. 277 |
The Exponential Distribution | p. 279 |
The Rayleigh Distribution | p. 294 |
The Weibull Distribution | p. 302 |
Lognormal Distribution | p. 314 |
The Gamma Distribution | p. 321 |
The Extreme Value Distribution | p. 329 |
The Half-Logistic Distribution | p. 331 |
Frechet Distribution | p. 338 |
Birnbaum-Saunders Distribution | p. 341 |
Linear Models | p. 344 |
Multicensored Data | p. 346 |
Problems | p. 351 |
References | p. 361 |
Models for Accelerated Ufe Testing | p. 364 |
Introduction | p. 364 |
Types of Reliability Testing | p. 365 |
Accelerated Life Testing | p. 368 |
ALT Models | p. 372 |
Statistics-Based Models: Nonparametric | p. 386 |
Physics-Statistics-Based Models | p. 404 |
Physics-Experimental-Based Models | p. 412 |
Degradation Models | p. 415 |
Statistical Degradation Models | p. 419 |
Accelerated Life Testing Plans | p. 421 |
Problems | p. 425 |
References | p. 436 |
Renewal Processes and Expected Number of Failures | p. 440 |
Introduction | p. 440 |
Parametric Renewal Function Estimation | p. 441 |
Nonparametric Renewal Function Estimation | p. 455 |
Alternating Renewal Process | p. 465 |
Approximations of M(t) | p. 468 |
Other Types of Renewal Processes | p. 469 |
The Variance of Number of Renewals | p. 471 |
Confidence Intervals for the Renewal Function | p. 477 |
Remaining Life at Time T | p. 479 |
Poisson Processes | p. 481 |
Laplace Transform and Random Variables | p. 485 |
Problems | p. 487 |
References | p. 494 |
Preventive Maintenance and Inspection | p. 496 |
Introduction | p. 496 |
Preventive Maintenance and Replacement Models: Cost Minimization | p. 497 |
Preventive Maintenance and Replacement Models: Downtime Minimization | p. 506 |
Minimal Repair Models | p. 509 |
Optimum Replacement Intervals for Systems Subject to Shocks | p. 513 |
Preventive Maintenance and Number of Spares | p. 517 |
Group Maintenance | p. 524 |
Periodic Inspection | p. 527 |
Condition-Based Maintenance | p. 535 |
Online Surveillance and Monitoring | p. 537 |
Problems | p. 542 |
References | p. 548 |
Warranty Models | p. 551 |
Introduction | p. 551 |
Warranty Models for Nonrepairable Products | p. 553 |
Warranty Models for Repairable Products | p. 574 |
Two-Dimensional Warranty | p. 588 |
Warranty Claims | p. 590 |
Problems | p. 597 |
References | p. 601 |
Case Studies | p. 603 |
Case 1: A Crane Spreader Subsystem | p. 603 |
Case 2: Design of a Production Line | p. 609 |
Case 3: An Explosive Detection System | p. 617 |
Case 4: Reliability of Furnace Tubes | p. 623 |
Case 5: Reliability of Smart Cards | p. 629 |
Case 6: Life Distribution of Survivors of Qualification and Certification | p. 632 |
Case 7: Reliability Modeling of Telecommunication Networks for the Air Traffic Control System | p. 639 |
Case 8: System Design Using Reliability Objectives | p. 648 |
Case 9: Reliability Modeling of Hydraulic Fracture Pumps | p. 658 |
References | p. 663 |
Appendices | |
Gamma Table | p. 667 |
Computer Program to Calculate the Reliability of a Consecuttve-2-Out-Of-N:F System | p. 674 |
Optimum Arrangement of Components in Consecuttve-2-Out-Of-N:F Systems | p. 676 |
Computer Program for Solving the Time-Dependent Equations Using Runge-Kutta's Method | p. 682 |
The Newton-Raphson Method | p. 684 |
Coefficients of b_{i}'s For i = 1, …, n | p. 689 |
Variance of ¿_{2}^{*}s in Terms of ¿_{2}^{2}/n and K_{3}/K_{2}^{*} | p. 716 |
Computer Listing of the Newton-Raphson Method | p. 722 |
Coefficients (a_{i} and b_{i} of the Best Estimates of the Mean (¿) And Standard Deviation (¿) in Censored Samples Up to n = 20 From a Normal Population | p. 724 |
Baker's Algorithm | p. 737 |
Standard Normal Distribution | p. 741 |
Critical Values of X^{2} | p. 747 |
Solutions of Selected Problems | p. 750 |
Author Index | p. 759 |
Subject Index | p. 764 |
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