Handbook of Reliability Engineering
Defining both fundamental and applied work across the entire systems reliability arena, this state-of-the-art reference presents methodologies for quality, maintainability and dependability.
TABLE OF CONTENTS Handbook of Reliability Engineering
Part I: System Reliability and Optimization
Chapter List
- Chapter 1: Multi-State k-out-of-n Systems
- Chapter 2: Reliability of Systems with Multiple Failure Modes
- Chapter 3: Reliabilities of Consecutive-k Systems
- Chapter 4: Multi-State System Reliability Analysis and Optimization (Universal Generating Function and Genetic Algorithm Approach)
- Chapter 5: Combinatorial Reliability Optimization
Ming J.Zuo, Jinsheng Huang and Way Kuo
1.1 Introduction
In traditional reliability theory, both the system and its components are allowed to take only two possible states: either working or failed. In a multi-state system, both the system and its components are allowed to experience more than two possible states, e.g. completely working, partially working or partially failed, and completely failed. A multi-state system reliability model provides more flexibility for modeling of equipment conditions. The terms binary and multi-state will be used to indicate these two fundamental assumptions in system reliability models.
1.2 Relevant Concepts in Binary Reliability Theory
The following notation will be used:
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x i: state of component i, x i=1 if component i is working and zero otherwise;
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x: an n-dimensional vector representing the states of all components, x= (x 1, x 2 , , x n );
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(x): state of the system, which is also called the structure function of the system; -
( j i , x): a vector x whose ith argument is set equal to j, where j=0, 1 and i=1, 2, , n.
A component is irrelevant if its state...
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