Preface |
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xi | |
Prelude |
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xv | |
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Chapter 1 Reliability and Hazard Functions |
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1 | (94) |
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1 | (4) |
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1.2 Reliability Definition and Estimation |
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5 | (11) |
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16 | (41) |
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1.4 Multivariate Hazard Rate |
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57 | (3) |
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1.5 Competing Risk Model and Mixture of Failure Rates |
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60 | (8) |
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1.6 Discrete Probability Distributions |
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68 | (3) |
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71 | (3) |
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74 | (2) |
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1.9 Time of First Failure |
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76 | (19) |
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79 | (12) |
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91 | (4) |
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Chapter 2 System Reliability Evaluation |
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95 | (90) |
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95 | (1) |
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2.2 Reliability Block Diagrams |
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96 | (3) |
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99 | (2) |
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101 | (2) |
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2.5 Parallel-Series, Series-Parallel, and Mixed-Parallel Systems |
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103 | (10) |
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2.6 Consecutive-k-out-of-n: F System |
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113 | (8) |
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2.7 Reliability of k-out-of-n Systems |
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121 | (2) |
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2.8 Reliability of k-out-of-n Balanced Systems |
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123 | (2) |
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2.9 Complex Reliability Systems |
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125 | (18) |
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143 | (1) |
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144 | (6) |
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150 | (4) |
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2.13 Importance Measures of Components |
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154 | (11) |
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2.14 Weighted Importance Measures of Components |
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165 | (20) |
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167 | (15) |
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182 | (3) |
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Chapter 3 Time- and Failure-Dependent Reliability |
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185 | (66) |
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185 | (1) |
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3.2 Nonrepairable Systems |
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185 | (9) |
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194 | (10) |
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204 | (11) |
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215 | (8) |
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223 | (5) |
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3.7 Redundancy and Standby |
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228 | (23) |
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238 | (9) |
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247 | (4) |
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Chapter 4 Estimation Methods of the Parameters |
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251 | (50) |
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251 | (1) |
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252 | (8) |
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4.3 The Likelihood Function |
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260 | (18) |
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4.4 Method of Least Squares |
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278 | (6) |
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284 | (4) |
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288 | (2) |
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4.7 Generation of Failure Time Data |
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290 | (11) |
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292 | (6) |
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298 | (3) |
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Chapter 5 Parametric Reliability Models |
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301 | (92) |
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301 | (1) |
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5.2 Approach 1: Historical Data |
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302 | (1) |
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5.3 Approach 2: Operational Life Testing |
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303 | (1) |
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5.4 Approach 3: Burn-in Testing |
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303 | (1) |
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5.5 Approach 4: Accelerated Life Testing |
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304 | (1) |
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305 | (3) |
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5.7 The Exponential Distribution |
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308 | (14) |
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5.8 The Rayleigh Distribution |
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322 | (9) |
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5.9 The Weibull Distribution |
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331 | (12) |
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5.10 The Lognormal Distribution |
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343 | (7) |
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5.11 The Gamma Distribution |
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350 | (7) |
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5.12 The Extreme Value Distribution |
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357 | (3) |
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5.13 The Half-Logistic Distribution |
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360 | (7) |
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5.14 The Frechet Distribution |
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367 | (2) |
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5.15 The Birnbaum-Saunders Distribution |
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369 | (3) |
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372 | (2) |
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374 | (19) |
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378 | (11) |
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389 | (4) |
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Chapter 6 Accelerated Life Testing |
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393 | (88) |
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393 | (1) |
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6.2 Types of Reliability Testing |
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394 | (9) |
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6.3 Accelerated Life Testing |
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403 | (3) |
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406 | (14) |
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6.5 Statistics-Based Models: Nonparametric |
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420 | (17) |
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6.6 Physics-Statistics-Based Models |
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437 | (9) |
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6.7 Physics-Experimental-Based Models |
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446 | (3) |
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449 | (4) |
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6.9 Statistical Degradation Models |
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453 | (6) |
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6.10 Accelerated Life Testing Plans |
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459 | (22) |
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463 | (13) |
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476 | (5) |
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Chapter 7 Physics of Failures |
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481 | (46) |
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481 | (1) |
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481 | (7) |
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7.3 Failure Modes and Effects Analysis |
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488 | (2) |
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7.4 Stress-Strength Relationship |
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490 | (2) |
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7.5 PoF: Failure Time Models |
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492 | (20) |
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7.6 PoF: Degradation Models |
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512 | (15) |
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519 | (5) |
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524 | (3) |
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Chapter 8 System Resilience |
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527 | (36) |
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527 | (1) |
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528 | (1) |
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528 | (4) |
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532 | (3) |
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8.5 Resilience Definitions and Attributes |
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535 | (1) |
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8.6 Resilience Quantification |
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536 | (6) |
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542 | (2) |
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544 | (2) |
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546 | (17) |
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557 | (2) |
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559 | (4) |
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Chapter 9 Renewal Processes and Expected Number of Failures |
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563 | (58) |
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563 | (1) |
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9.2 Parametric Renewal Function Estimation |
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564 | (14) |
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9.3 Nonparametric Renewal Function Estimation |
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578 | (10) |
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9.4 Alternating Renewal Process |
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588 | (3) |
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9.5 Approximations of M(t) |
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591 | (3) |
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9.6 Other Types of Renewal Processes |
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594 | (1) |
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9.7 The Variance of the Number of Renewals |
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595 | (6) |
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9.8 Confidence Intervals for the Renewal Function |
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601 | (3) |
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9.9 Remaining Life at Time t |
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604 | (2) |
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606 | (3) |
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9.11 Laplace Transform and Random Variables |
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609 | (12) |
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611 | (8) |
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619 | (2) |
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Chapter 10 Maintenance and Inspection |
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621 | (58) |
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621 | (1) |
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10.2 Preventive Maintenance and Replacement Models: Cost Minimization |
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622 | (9) |
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10.3 Preventive Maintenance and Replacement Models: Downtime Minimization |
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631 | (3) |
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10.4 Minimal Repair Models |
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634 | (5) |
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10.5 Optimum Replacement Intervals for Systems Subject to Shocks |
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639 | (3) |
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10.6 Preventive Maintenance and Number of Spares |
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642 | (7) |
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649 | (4) |
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653 | (10) |
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10.9 Condition-Based Maintenance |
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663 | (2) |
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10.10 On-Line Surveillance and Monitoring |
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665 | (14) |
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669 | (7) |
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676 | (3) |
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Chapter 11 Warranty Models |
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679 | (54) |
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679 | (2) |
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11.2 Warranty Models for Nonrepairable Products |
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681 | (20) |
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11.3 Warranty Models for Repairable Products |
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701 | (15) |
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11.4 Two-Dimensional Warranty |
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716 | (2) |
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718 | (15) |
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725 | (6) |
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731 | (2) |
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733 | (72) |
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12.1 Case 1: A Crane Spreader Subsystem |
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733 | (6) |
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12.2 Case 2: Design of a Production Line |
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739 | (7) |
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12.3 Case 3: An Explosive Detection System |
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746 | (6) |
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12.4 Case 4: Reliability of Furnace Tubes |
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752 | (5) |
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12.5 Case 5: Reliability of Smart Cards |
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757 | (3) |
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12.6 Case 6: Life Distribution of Survivors of Qualification and Certification |
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760 | (7) |
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12.7 Case 7: Reliability Modeling of Telecommunication Networks for the Air Traffic Control System |
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767 | (9) |
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12.8 Case 8: System Design Using Reliability Objectives |
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776 | (10) |
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12.9 Case 9: Reliability Modeling of Hydraulic Fracture Pumps |
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786 | (5) |
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12.10 Case 10: Availability of Medical Information Technology System |
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791 | (6) |
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12.11 Case 11: Producer and Consumer Risk in System of Systems |
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797 | (8) |
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804 | (1) |
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805 | (6) |
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Appendix B Computer Program To Calculate The Reliability Of A Consecutive-k-Out-of-n: F System |
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811 | (2) |
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Appendix C Optimum Arrangement Of Components In Consecuttve-2-Out-of-n: F Systems |
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813 | (8) |
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Appendix D Computer Program For Solving The Time-Dependent Equations |
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821 | (2) |
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Appendix E The Newton-Raphson Method |
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823 | (6) |
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Appendix F Coefficients Of bj's For i = 2, ..., n |
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829 | (14) |
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Appendix G Variance Of θ*2's in Terms Of θ22/n and K3/K*2 |
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843 | (6) |
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Appendix H Computer Usting of the Newton--Raphson Method |
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849 | (2) |
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Appendix I Coefficients (ai and bi) of the Best Estimates of the Mean (μ) and Standard Deviation (σ) in Censored Samples Up To n = 20 from a Normal Population |
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851 | (14) |
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Appendix J Baker's Algorithm |
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865 | (4) |
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Appendix K Standard Normal Distribution |
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869 | (6) |
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Appendix L Critical Values of Χ2 |
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875 | (4) |
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Appendk M Solutions of Selected Problems |
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879 | (8) |
Author Index |
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887 | (8) |
Subject Index |
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895 | |