Cover ; Dedication; Title Page ; Copyright; Contents; Preface; Notations and Abbreviations; 1. Reliability of Engineering Systems; 1.1. Basic notions and characteristics of reliability ; 1.1.1. Basic notions; 1.1.2. Reliability of non-renewable units; 1.1.3. Some parametric families of continuous distributions of non-negative random variables; 1.1.4. Examples; 1.1.5. Exercises; 1.2. Reliability of renewable systems; 1.2.1. Reliability of instantaneously renewable articles; 1.2.2. Renewal function; 1.2.3. Age and residual lifetime of an article. 1.2.4. Reliability characteristics with regard to replacement time1.2.5. Examples; 1.2.6. Exercises; 1.3. Statistical analysis of reliability characteristics ; 1.3.1. Introductory notes; 1.3.2. Observations and the plans of reliability trials; 1.3.3. Statistical analysis of reliability characteristics for trials under the basic plan; 1.3.4. Statistical estimation of the reliability characteristics and indexes for trials with renewable units; 1.3.5. Examples; 1.3.6. Exercises; 1.4. Structural reliability; 1.4.1. System structure function; 1.4.2. Monotone structures. 1.4.3. Reliability of monotone systems from independent elements1.4.4. Reliability function for monotone structures; 1.4.5. Exercises; 1.5. System life tree and its structure function; 1.5.1. Event tree; 1.5.2. An object structure scheme; 1.5.3. An example: the auto engine structure scheme; 1.5.4. Life tree and the system structure function; 1.5.5. Calculation of the system reliability; 1.5.6. System reliability function calculation; 1.6. Non-renewable redundant systems; 1.6.1. Basic redundancy means -- terms; 1.6.2. Hot redundancy; 1.6.3. Cold redundancy. 1.6.4. Markov process for system reliability investigations1.6.5. Reliability properties of redundant systems; 1.6.6. A unit warranty operating time calculation; 1.6.7. Exercises; 1.7. Renewable redundant systems ; 1.7.1. The model; 1.7.2. Equations for probabilities of the system states; 1.7.3. Steady state probabilities: system failure probability; 1.7.4. Reliability function for renewable systems; 1.7.5. Exercises; 1.8. Bibliographical comments ; 1.8.1. Section 1.1; 1.8.2. Section 1.2; 1.8.3. Section 1.3; 1.8.4. Section 1.4; 1.8.5. Section 1.5; 1.8.6. Sections 1.6 and 1.7. 2. Reliability and Risk2.1. Risk: notion and measurement ; 2.1.1. Introductory notes; 2.1.2. Examples; 2.1.3. Risk notion; 2.1.4. Risk measurement; 2.1.5. Risk modeling; 2.1.6. Exercises; 2.2. Models of damage value ; 2.2.1. Introductory remarks; 2.2.2. Simple damage models; 2.2.3. Compound damages: methods of investigation; 2.2.4. Moments of compound damages; 2.2.5. Models of compound damages; 2.2.6. Examples; 2.2.7. Exercises; 2.3. Methods of risk analysis ; 2.3.1. Introductory remarks; 2.3.2. Methodology of risk analysis; 2.3.3. Risk tree construction; 2.3.4. Risk tree rigging.

This book is based on a lecture course to students specializing in the safety of technological processes and production. The author focuses on three main problems in technological risks and safety: elements of reliability theory, the basic notions, models and methods of general risk theory and some aspects of insurance in the context of risk management. Although the material in this book is aimed at those working towards a bachelor's degree in engineering, it may also be of interest to postgraduate students and specialists dealing with problems related to reliability and risks. This book is based on a lecture course to students specializing in the safety of technological processes and production.The author focuses on three main problems in technological risks and safety: elements of reliability theory, the basic notions, models and methods of general risk theory and some aspects of insurance in the context of risk management. Although the material in this book is aimed at those working towards a bachelor's degree in engineering, it may also be of interest to postgraduate students and specialists dealing with problems related to reliability and risks.