Reliability of Large and Complex Systems

Reliability of Large and Complex Systems, previously titled Reliability of Large Systems, is an innovative guide to the current state and reliability of large and complex systems.

In addition to revised and updated content on the complexity and safety of large and complex mechanisms, this new edition looks at the reliability of nanosystems, a key research topic in nanotechnology science. The author discusses the importance of safety investigation of critical infrastructures that have aged or have been exposed to varying operational conditions. This reference provides an asymptotic approach to reliability; its methodology, whilst largely mathematical, is designed to help the reader understand and construct general models of large and systems in a wide range of engineering fields.

• A complete and innovative guide to the reliability of large and complex systems
• Provides the reader with a strong foundational knowledge of safety investigation into critical infrastructures; the main research area in the world of safety science
• Explains how to construct large, reliable and safe systems in variable operation conditions

1. Basic Notions

2. Two-State Systems

3. Multi-State Systems

4. Reliability of Large Two-State Systems

• 4.1 Reliability Evaluation of Two-State Series Systems
• 4.2 Reliability Evaluation of Two-State Parallel Systems
• 4.3 Reliability Evaluation of Two-State ‘m out of n’ Systems
• 4.4 Reliability Evaluation of Two-State Series–Parallel Systems
• 4.5 Reliability Evaluation of Two-State Parallel–Series Systems
• 4.6 Reliability Evaluation of Other Two-State Systems

5. Reliability of Large Multi-State Systems

• 5.1 Reliability Evaluation of Multi-State Series Systems
• 5.2 Reliability Evaluation of Multi-State Parallel Systems
• 5.3 Reliability Evaluation of Multi-State ‘m out of n’ Systems
• 5.4 Reliability Evaluation of Multi-State Series–Parallel Systems
• 5.5 Reliability Evaluation of Multi-State Parallel–Series Systems
• 5.6 Reliability Evaluation of Other Multi-State Systems

6. Reliability Evaluation of Port and Shipyard Transportation Systems

• 6.1 Auxiliary Results
• 6.2 Reliability of a Port Grain Transportation System
• 6.3 Reliability of a Port Oil Transportation System
• 6.4 Reliability of a Port Bulk Transportation System
• 6.5 Reliability of a Shipyard Rope Transportation System

7. Reliability of Large Multi-State Exponential Systems

• 7.1 Auxiliary Theorems
• 7.2 Algorithms for Reliability Evaluation of Multi-state Exponential Systems
• 7.3 Algorithms Application to Reliability Evaluation of Exponential Systems

8. Large Systems Related Problems

• 8.1 Domains of Attraction for System Limit Reliability Functions
• 8.2 Speed of Convergence of System Reliability Function Sequences
• 8.3 Reliability of Large Series–‘m Out of n’ Systems
• 8.4 Reliability of Large ‘m Out of n’-Series Systems
• 8.5 Reliability of Large Hierarchical Systems
• 8.6 Asymptotic Approach to Systems Reliability Improvement

9. Complex Systems

• 9.1 Introduction
• 9.2 Complex System Operation Process Modelling
• 9.3 Complex System Reliability Modelling
• 9.4 Complex System Reliability and Operation Optimization

10. Large Complex Systems

• 10.1 Asymptotic Approach to Reliability of Large Complex Systems
• 10.2 Limit Reliability Functions of Large Complex Systems
• 10.3 Examples of Large Complex Systems Reliability Evaluation