Maîtriser les arbres de défaillance

• Building and analysing fault trees.
• Understanding the mathematical mechanisms involved.
• Understanding the advantages and limitations of fault trees.

DAY 1

FOREWORD
• Practical workshop.

CHALLENGES
• Understanding the challenges of the fault tree analysis method?

FUNDAMENTALS
• Boolean logic (De Morgan, idempotence, commutativity, associativity, distributivity, absorption, etc.),
• Probability (total probability, Bayes, conditional probability, Boole’s inequality),
• Principles of statistics: CDF, PDF, mean, moments,
• Several common CDFs (Normal, Exponential, Weibull, Poisson) and an introduction to others, law of large numbers, Taylor approximation,
• Issues involving combinations of failures:
• Why do we conduct FTA?
• Example situation.

PRESENTATION OF FTA
• Building your first FTA,
• Tree resolutions,
• Simple approach,
• Concept and handling of BDD (Binary Decision Diagram),
• Reliability block diagrams,
• How to calculate targets.

Practical workshops

DAY 2

HOW TO CORRECTLY CONDUCT AN FTA
• Logic (output to input),
• FTA within the V-model (allocation towards a demonstration),
• Whether or not to highlight minimal cut sets,
• Proper use of criticality matrices,
• Configuring an FTA.

Practical workshops

FOR FURTHER EXPLORATION
• Advanced probability distributions for basic events,
• Targets / requirements (probability, probability / h, UFI, CFI, availability),
• Concept of latent / hidden failures,
• Handling dynamic aspects.

Practical workshops
• Handling common causes (CCF, IEC 61508, ARP 4761, etc.),
• Common Mode Analysis aspect,
• Sensitivity analyses,
• Importance factors.

Practical workshops
• What to do beyond FTA:
• Markov chains,
• MBSDA,
• PETRI nets.

Dependability Engineer, Project Manager, Technical Expert.

Mastery of probability distributions.
Mastery of risk management challenges