Reliability and Risk Analysis

In: Springer eBook Collection

Abstract

1 Introduction to Reliability and Risk Analysis -- 1.1 Historical perspective -- 1.2 Objectives of reliability and risk analyses -- 1.3 Subject areas. Modelling -- 1.4 Basic concepts -- 1.5 Planning, execution and use of reliability analysis -- 1.6 Planning, execution and use of risk analysis -- 1.7 Discussion -- 1.8 Problems -- 2 Basic Reliability and Risk Analysis Methods -- 2.1 Use of statistics -- 2.2 Failure mode and effect analysis -- 2.3 Fault tree analysis -- 2.4 Cause consequence analysis/Event tree analysis -- 2.5 Other reliability and risk analysis methods -- 2.6 Problems -- 3 Binary Models for Analysing System Reliability -- 3.1 Structural properties -- 3.2 Computing system reliability -- 3.3 Non-repairable systems -- 3.4 Repairable systems -- 3.5 Reliability importance measures -- 3.6 Dependent components -- 3.7 Problems -- 4 Multistate Models for Analysing System Reliability -- 4.1 Multistate monotone systems -- 4.2 Computing system reliability -- 4.3 A time dependent model -- 4.4 Discussion -- 4.5 Problems -- 5 Optimal Replacement Policies -- 5.1 Introduction -- 5.2 General minimal repair, age replacement model -- 5.3 Block replacement model -- 5.4 On-condition replacement models -- 5.5 Problems -- 6 Safety Management -- 6.1 Introduction -- 6.2 Safety management in a company -- 6.3 Reliability management of a product -- 6.4 Problems -- 7 Some Applications -- 7.1 Risk analysis of an offshore oil and gas producing platform -- 7.2 Availability and life cycle costing in a gas project -- 7.3 Availability and life cycle costing related to a process instrumentation system -- 7.4 Discussion -- 7.5 Problems -- Appendicies -- A Probability Theory -- A.l Probabilities -- A.1.1 Probability concepts -- A.1.2 Rules for combining probabilities -- A.1.3 Conditional probabilities -- A.1.4 Independence -- A.2 Stochastic variables -- A.3 Some proofs -- A.3.1 Proof of formula (A.4) -- A.3.2 Probability calculations in event trees -- A.3.3 Proof of an error bound for the approximations (4.2) and (4.3). -- A.4 Problems -- B Stochastic Failure Models -- B.1 Non-repairable units -- B.1.1 Basic concepts -- B.1.2 Some common lifetime distributions -- B.2 Repairable units -- B.3 Binomial distribution -- B.4 Gamma function -- B.5 Problems -- C Statistical Analysis of Reliability Data -- C.1 Identification of lifetime distribution, Hazard plotting -- C.2 Estimation of parameters in lifetime distributions -- C.3 Statistical analysis of non-homogeneous Poisson processes -- C.4 Data sources -- C.5 Problems -- D Markov Models -- D.1 Introduction -- D.2 One component. No repair -- D.3 One repairable component -- D.4 Two repairable components -- D.5 Birth and death processes -- D.6 General formulation of a Markov process -- D.7 Problems -- E More on Stochastic Processes -- E.1 Renewal processes -- E.2 Renewal reward processes -- E.3 Regenerative processes -- E.4 Counting processes -- E.5 Proofs of some results in Chapters 3 and 5 -- E.5.1 Section 3.4.1 -- E.5.2 Section 3.4.2 -- E.5.3 Section 5.4 -- F An Algorithm for Calculating System Reliability -- G A Minimization Technique.