Benefits of Bayesian network models

by Weber, Philippe

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Title Statements

Full title :Benefits of Bayesian network models.

Summary

The application of Bayesian Networks (BN) or Dynamic Bayesian Networks (DBN) in dependability and risk analysis is a recent development. A large number of scientific publications show the interest in the applications of BN in this field. Unfortunately, this modeling formalism is not fully accepted in the industry. The questions facing today's engineers are focused on the validity of BN models and the resulting estimates. Indeed, a BN model is not based on a specific semantic in dependability but offers a general formalism for modeling problems under uncertainty. This book explains the principles of knowledge structuration to ensure a valid BN and DBN model and illustrate the flexibility and efficiency of these representations in dependability, risk analysis and control of multi-state systems and dynamic systems. Across five chapters, the authors present several modeling methods and industrial applications are referenced for illustration in real industrial contexts. The application of Bayesian Networks (BN) or Dynamic Bayesian Networks (DBN) in dependability and risk analysis is a recent development. A large number of scientific publications show the interest in the applications of BN in this field. Unfortunately, this modeling formalism is not fully accepted in the industry. The questions facing today's engineers are focused on the validity of BN models and the resulting estimates. Indeed, a BN model is not based on a specific semantic in dependability but offers a general formalism for modeling problems under uncertainty. This book explains the principles of knowledge structuration to ensure a valid BN and DBN model and illustrate the flexibility and efficiency of these representations in dependability, risk analysis and control of multi-state systems and dynamic systems. Across five chapters, the authors present several modeling methods and industrial applications are referenced for illustration in real industrial contexts.

Edition Statements

Publication Date:2016.

Publication Statements

Publisher(s):Wiley-ISTE
Place of Publication:Hoboken, NJ
Language:eng
Publication Date:2016.

The Physical Object

Description:1 online resource (151)

Edition Identifiers

ISBN:9781119347316, 1119347319, 1119347459, 9781119347453
oclc:ocn957655787
LC Classification:QA279.5
Dewey Decimal:519.5

Cover ; Title Page ; Copyright ; Contents; Foreword by J.-F. Aubry; Foreword by L. Portinale; Acknowledgments; Introduction; I.1. Problem statement; I.2. Book structure; PART 1. Bayesian Networks; 1. Bayesian Networks: a Modeling Formalism for System Dependability; 1.1. Probabilistic graphical models: BN; 1.1.1. BN: a formalism to model dependability; 1.1.2. Inference mechanism; 1.2. Reliability and joint probability distributions; 1.2.1. Multi-state system example; 1.2.2. Joint distribution; 1.2.3. Reliability computing; 1.2.4. Factorization; 1.3. Discussion and conclusion.

2. Bayesian Network: Modeling Formalism of the Structure Function of Boolean Systems2.1. Introduction; 2.2. BN models in the Boolean case; 2.2.1. BN model from cut-sets; 2.2.2. BN model from tie-sets; 2.2.3. BN model from a top-down approach; 2.2.4. BN model of a bowtie; 2.3. Standard Boolean gates CPT; 2.4. Non-deterministic CPT; 2.5. Industrial applications; 2.6. Conclusion; 3. Bayesian Network: Modeling Formalism of the Structure Function of Multi-State Systems; 3.1. Introduction; 3.2. BN models in the multi-state case; 3.2.1. BN model of multi-state systems from tie-sets.

3.2.2. BN model of multi-state s…

Subjects

Bayesian statistical decision theory mathematical models MATHEMATICS -- Applied MATHEMATICS -- General MATHEMATICS -- Probability & Statistics Modèles mathématiques Models, Theoretical Théorie de la décision bayésienne