Foreword |
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ix | |
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Foreword |
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xiii | |
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Acknowledgments |
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xv | |
Introduction |
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xvii | |
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1 | (64) |
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Chapter 1 Bayesian Networks: a Modeling Formalism for System Dependability |
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3 | (14) |
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1.1 Probabilistic graphical models: BN |
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5 | (3) |
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1.1.1 BN: a formalism to model dependability |
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5 | (2) |
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1.1.2 Inference mechanism |
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7 | (1) |
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1.2 Reliability and joint probability distributions |
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8 | (6) |
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1.2.1 Multi-state system example |
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8 | (1) |
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9 | (1) |
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1.2.3 Reliability computing |
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9 | (1) |
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10 | (4) |
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1.3 Discussion and conclusion |
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14 | (3) |
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Chapter 2 Bayesian Network: Modeling Formalism of the Stucture Function of Boolean Systems |
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17 | (26) |
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17 | (2) |
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2.2 BN models in the Boolean case |
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19 | (10) |
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2.2.1 BN model from cut-sets |
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20 | (3) |
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2.2.2 BN model from tie-sets |
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23 | (2) |
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2.2.3 BN model from a top-down approach |
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25 | (1) |
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2.2.4 BN model of a bowtie |
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26 | (3) |
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2.3 Standard Boolean gates CPT |
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29 | (2) |
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2.4 Non-deterministic CPT |
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31 | (7) |
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2.5 Industrial applications |
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38 | (3) |
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41 | (2) |
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Chapter 3 Bayesian Network: Modeling Formalism of the Structure Function of Multi-State Systems |
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43 | (22) |
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43 | (1) |
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3.2 BN models in the multi-state case |
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43 | (15) |
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3.2.1 BN model of multi-state systems from tie-sets |
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44 | (5) |
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3.2.2 BN model of multi-state systems from cut-sets |
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49 | (3) |
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3.2.3 BN model of multi-state systems from functional and dysfunctional analysis |
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52 | (6) |
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3.3 Non-deterministic CPT |
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58 | (1) |
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3.4 Industrial applications |
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59 | (3) |
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62 | (3) |
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Part 2 Dynamic Bayesian Networks |
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65 | (32) |
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Chapter 4 Dynamic Bayesian Networks: Integrating Environmental and Operating Constraints in Reliability Computation |
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67 | (16) |
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67 | (2) |
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4.2 Component modeled by a DBN |
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69 | (6) |
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70 | (1) |
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4.2.2 DBN model of non-homogeneous MC |
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71 | (1) |
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4.2.3 Stochastic process with exogenous constraint |
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72 | (3) |
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4.3 Model of a dynamic multi-state system |
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75 | (4) |
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4.4 Discussion on dependent processes |
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79 | (2) |
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81 | (2) |
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Chapter 5 Dynamic Bayesian Networks: Integrating Reliability Computation in the Control System |
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83 | (14) |
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83 | (1) |
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5.2 Integrating reliability information into the control |
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84 | (1) |
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5.3 Control integrating reliability modeled by DBN |
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85 | (5) |
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5.3.1 Modeling and controlling an over-actuated system |
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86 | (2) |
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5.3.2 Integrating reliability |
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88 | (2) |
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5.4 Application to a drinking water network |
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90 | (5) |
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91 | (1) |
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5.4.2 Results and discussion |
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92 | (3) |
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95 | (1) |
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96 | (1) |
Conclusion |
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97 | (4) |
Bibliography |
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101 | (12) |
Index |
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113 | |