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List of Tables

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1 Chapter 1Table 1.1 Availability and downtime.

2 Chapter 4Table 4.1 Deductive versus inductive methods.Table 4.2 Occurrence rating (example).Table 4.3 Severity rating (example).Table 4.4 Fault tree symbols.Table 4.5 Criticality ranking of minimal cut sets of order 2.Table 4.6 Truth table for a 2oo3 structure.Table 4.7 Truth table for a series structure of two components.Table 4.8 Truth table for a parallel structure of two components.Table 4.9 Truth table for the 2oo3 structure.

3 Chapter 5Table 5.1 Historical dataset.Table 5.2 Relationship between the functions , and .Table 5.3 Summary of time‐to‐failure distributions and parameters.

4 Chapter 6Table 6.1 A brief comparison of the structures (1), (2), and (3).Table 6.2 MTTF of some oo structures of identical and independent components...Table 6.3 Prior probability of root node .Table 6.4 Conditional probability table for two nodes.Table 6.5 Prior probability of the root nodes and .Table 6.6 Table for Problem 6.10.

5 Chapter 7Table 7.1 Critical path vectors for component 1.

6 Chapter 10Table 10.1 Failure times (operating days) in chronological order.Table 10.2 Data set for Problem 13.

7 Chapter 11Table 11.1 Possible states of a structure of two components.Table 11.2 Possible states of a series structure of two components where fail...Table 11.3 The possible states of a two‐item parallel system with cold standb...

8 Chapter 13Table 13.1 PFD of some oo structures of identical and independent components...Table 13.2 PFD and spurious trip rate for three simple structures.Table 13.3 Safety integrity levels for safety functions.Table 13.4 Failure rates for the “fail to function” mode.

9 Chapter 14Table 14.1 A complete and ordered dataset of survival times.Table 14.2 Computation of the Kaplan–Meier Estimate (censored times are marke...Table 14.3 The Kaplan–Meier estimate as a function of time.Table 14.4 Nelson–Aalen estimate for the censored dataset in Example 14.12, c...Table 14.5 TTT Estimates for the dataset in Example 14.15.Table 14.6 Dataset for Problem 14.2.Table 14.7 Dataset for Problem 14.3.Table 14.8 Dataset for Problem 14.11.Table 14.9 Dataset for Problem 14.12.Table 14.10 Dataset for Problem 14.13.Table 14.11 Dataset for Problem 14.16.Table 14.12 Dataset for Problem 14.17.Table 14.13 Dataset for Problem 14.18.

10 Chapter 16Table 16.1 Pumps, subdivision in maintainable items in OREDA.

11 2Table B.1 Some main properties of Laplace transforms.Table B.2 Some Laplace transforms.

System Reliability Theory

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