Page 242 - DMTH404_STATISTICS

Statistics Richa Nandra, Lovely Professional University

Notes Unit 17: System Reliability

CONTENTS

Objectives
Introduction
17.1 State Vectors
17.1.1 Structure Functions

17.1.2 The Series Structure
17.1.3 The Parallel Structure
17.1.4 The k-out-of-n Structure
17.2 Order and Monotonicity

17.2.1 Minimal Path Sets
17.3 The Bridge Structure
17.3.1 Minimal Cut Sets
17.4 Bounds on Reliability

17.5 System Life in Systems Without Repair
17.6 Distribution Functions for Modeling Component Lifetimes
17.7 The Bathtub Curve and Failure Rate
17.8 Expected System Life

17.9 Systems with Repair
17.9.1 System with Standby Components and Repair
17.9.2 System with Interrelated Repair
17.10 Summary

17.11 Keywords
17.12 Self Assessment
17.13 Review Questions
17.14 Further Readings

Objectives

After studying this unit, you will be able to:
 Discuss state vectors

 Describe order and monotonicity
 Explain bridge structure

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