Intro
Preface
Contents
1 Generic Model of Multi-state System. Reliability, Availability and Performability in Dynamic Modes
1.1 Generic Multi-state System Model
1.2 Reliability, Availability and Performability of Multi-state System
1.2.1 Reliability Measures of Multi-state Systems
1.2.2 Availability Measures of Multi-state Systems
1.2.3 Performability Measures of Multi-state Systems
1.3 Summary
References
2 Stochastic Processes Methods for MSS Reliability, Availability and Performability Assessment
2.1 General Concepts of Stochastic Processes Theory

2.2 Markov Models: Discrete-Time Markov Chains
2.2.1 Basic Definitions and Properties
2.2.2 Computation of n-Step Transition Probabilities and State Probabilities
2.3 Markov Models: Continuous-Time Markov Chains
2.3.1 Basic Definitions and Properties
2.3.2 Markov Models for Evaluating Reliability of Multi-state Elements
References
3 LZ-Transform and Inverse LZ-Transform of a Discrete-State Continuous-Time Markov Process
3.1 LZ-Transform
3.1.1 LZ-Transform Definition
3.1.2 Existence and Uniqueness
3.1.3 LZ-Transform's Properties

3.1.4 LZ-Transform Application to MSS Reliability Analysis
3.2 Inverse LZ-Transform
3.2.1 Computational Procedure for Determining Inverse LZ-Transform
3.2.2 Determining Set of States and Set of Initial Conditions for Entire MSS
3.2.3 Determining Matrix A
3.2.4 The Method Application
3.2.5 Calculation of Reliability Function and Mean Time to Failure
3.2.6 Numerical Example
3.3 Summary
References
4 Short-Term Availability, Performability and Reliability Analysis for Power Systems

4.1 Short-Term Availability and Performability Evaluation for Coal Fired Power Station by Using LZ-Transform
4.1.1 Multi-state Model for a Single Coal Fired Power Generating Unit
4.1.2 Short-Term Reliability Analysis for Power Station with Several Coal Fired Units
4.1.3 Short-Term Analysis for Power Plant with Three Coal Fired Generating Units
4.2 Short-Term Availability and Performability Analysis of Power Plants with Combined Cycle Units
4.2.1 Multi-state Markov Model for a Single Combined Cycle Generating Unit and LZ-Transform for Its Output Generating Capacity Process

4.2.2 Multi-state Reliability Analysis for Power System, Consisting of Number Combine Cycle Generating Units
4.2.3 Short-Term Availability and Performability Analysis for Power Station with Three Combine-Cycle Units. Case Study
4.3 Short-Term Reliability and Risk Evaluation for Power System Using Inverse LZ-Transform
4.3.1 Inverse LZ-Transform Application to Risk Function Evaluation for Power Station
4.3.2 Risk Evaluation for Power Station with Several Coal-Fired Generating Units. Case Study
4.4 Summary
References