New solution schemes in constrained redundancy optimization

by Lam Ngok.Thesis (M.Phil.)--Chinese University of Hong Kong, 1999.Includes bibliographical references (leaves 111-114).Abstracts in English and Chinese.Chapter 1 --- Introduction --- p.1Chapter 1.1 --- Overview --- p.1Chapter 1.2 --- Organization outline --- p.2Chapter 2 --- Fundamentals of reliability theory --- p.4Chapter 2.1 --- State vector --- p.4Chapter 2.2 --- Minimal path sets --- p.4Chapter 2.3 --- Minimal cut sets --- p.7Chapter 2.4 --- Structure functions --- p.7Chapter 2.5 --- The structure functions and the systems reliability --- p.10Chapter 3 --- Literature review --- p.12Chapter 3.1 --- Introduction --- p.12Chapter 3.2 --- Approximation schemes --- p.13Chapter 3.3 --- Heurisitic search schemes --- p.14Chapter 3.4 --- Exact solution schemes --- p.16Chapter 3.5 --- Software reliability --- p.17Chapter 4 --- Characteristics of Series-parallel network --- p.18Chapter 4.1 --- Series-parallel network problem formulation --- p.18Chapter 4.2 --- Characteristics of series-parallel networks --- p.19Chapter 4.3 --- Some further properties of Maximal Monotonicity --- p.20Chapter 4.3.1 --- Definitions and the background --- p.20Chapter 4.3.2 --- The proper and the improper MMPs --- p.22Chapter 4.4 --- Examples --- p.37Chapter 4.5 --- Computational results --- p.39Chapter 4.6 --- New progress --- p.40Chapter 5 --- Extensions for the series-parallel reducible networks --- p.43Chapter 5.1 --- Some new notations for computation --- p.44Chapter 5.1.1 --- Notation --- p.44Chapter 5.2 --- Problem formulation --- p.46Chapter 5.3 --- The series-parallel reducible networks --- p.46Chapter 5.4 --- The algorithm --- p.54Chapter 6 --- "On ""Successive Solution Scheme For Constrained Redun- dancy Optimization In Reliability Networks"" [1]" --- p.56Chapter 6.1 --- Introduction --- p.56Chapter 6.2 --- The contents --- p.56Chapter 6.2.1 --- The motivation --- p.56Chapter 6.2.2 --- The Successive Solution Scheme --- p.57Chapter 6.3 --- Illustrative examples --- p.62Chapter 6.3.1 --- Example 1 --- p.62Chapter 6.3.2 --- Example 2 --- p.67Chapter 7 --- Conclusions --- p.76Chapter 8 --- Appendix --- p.79Chapter 8.1 --- Computational results --- p.79Chapter 8.2 --- Programme codes --- p.9