FAULT TREE ANALYSIS:RELIABILITY THEORY AND SYSTEMS SAFETY ANALYSIS

摘要

In this report the author solves various problems in fault tree analysis and coherent structure theory. In Chapter 1, fault tree construction methodology and mathematical notations are presented. Chapter 2 deals with minimal cut sets. Two algorithms, complete with proofs, are presented. In Chapter 3, the concept of module and an algorithm to obtain the finest modular decomposition is presented. Its potential use in obtaining various systems characteristics efficiently is pointed out. The concept of module is similar to that of committee in Game Theory. In Chapter 4, various concepts of importance and methods for computing them are presented.