Overview of the Book.- Introduction.- Background.- Reliability Study Overview.- Basic Core Concepts.- Introduction to Production Availability Calculations.- Introduction to SIL Calculations.- Risk Identification and Qualitative Analyses.- Inductive Methods.- Preliminary Hazard Analyses.- HAZOP.- FMECA.- Additional Methods.- Comparison of Inductive Approaches.- Modelling of Static Systems.- Boolean Methods.- Introduction to the Boolean Methods.- Main Assumptions and Mathematical Bases.- Reliability Block Diagrams.- Fault Tree Analysis.- Qualitative Analyses.- Extension to Non-coherent RBDs and FTs.- Basic Probability Calculations.- Semi-Quantitative Analysis.- Basic Probability Calculations for Large Systems.- Time Dependent Calculations.- Common Cause Failure Analysis.- Importance Factors.- Uncertainty Propagation.- Sequential Analysis.- Combination with Other Methods.- Belief Networks.- Limits and Conclusions.- Stochastic Processes and Dynamic Systems.- Introduction.- Markovian Modelling.- Monte-Carlo Calculations.- Petri Net Modelling.- Conclusions.- Production Availability and SIL Calculations.- Extension to Production Availability Calculations.- Extension to SIL Calculations.- Conclusion.