Springer Reliability Engineering

with Applications to Reliability Theory

By: Toshio Nakagawa

Write A Review

Hardcover | 29 May 2011

At a Glance

Hardcover
264 Pages

Dimensions(cm)
24.77 x 16.51 x 1.91

Hardcover

$279.00

or 4 interest-free payments of $69.75 with

Ships in 5 to 7 business days

Reliability theory is of fundamental importance for engineers and managers involved in the manufacture of high-quality products and the design of reliable systems. In order to make sense of the theory, however, and to apply it to real systems, an understanding of the basic stochastic processes is indispensable.

As well as providing readers with useful reliability studies and applications, Stochastic Processes also gives a basic treatment of such stochastic processes as:

the Poisson process,
the renewal process,
the Markov chain,
the Markov process, and
the Markov renewal process.

Many examples are cited from reliability models to show the reader how to apply stochastic processes. Furthermore, Stochastic Processes gives a simple introduction to other stochastic processes such as the cumulative process, the Wiener process, the Brownian motion and reliability applications.

Stochastic Processes is suitable for use as a reliability textbook by advanced undergraduate and graduate students. It is also of interest to researchers, engineers and managers who study or practise reliability and maintenance.ÿ

Industry Reviews

From the book reviews:

"This book provides a fundamental description of the main stochastic processes of interest in reliability theory. It also addresses and solves several problems related to maintenance and redundancy. Teachers and students at the undergraduate or the graduate level will find it useful." (Antonio Di Crescenzo, Mathematical Reviews, March, 2015)

"This book by Prof. Nakagawa bridges the gap between theoretical achievements in the field of stochastic processes and the need of researchers and practical engineers to use the theory in reliability investigations. ... this book would be useful for researchers and teachers as well. ... this book by Prof. Nakagawa is exactly what the reliability community (researchers, engineers, and industrial managers) has long been waiting for. ... the book may also be used as a textbook for senior undergraduate or graduate courses ... ." (Anatoly Lisnianski, SIAM Review, Vol. 54 (4), 2012)

"The addressed readership of this book is the reliability engineering community, especially engineers looking for a 'book written in an easy style on stochastic processes to be able to understand readily reliability theory'. ... book can serve as a first attempt to find needed facts in the area of stochastic processes ... . there is also another audience for this book: teachers of courses in stochastic processes on an undergraduate or graduate level who want to include examples of applications of stochastic processes in reliability." (Hans Daduna, Zentralblatt MATH, Vol. 1244, 2012)

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $89.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Engineering & Technology Mechanical Engineering & Materials Production & Industrial Engineering Industrial Quality Control Technology in General Engineering in General Reliability Engineering Mathematics Applied Mathematics Stochastics Probability & Statistics

Business & Management Operational Research Management & Management Techniques Management Decision Making

Other Editions and Formats

Paperback

Published: 15th July 2013

View Product

Introduction	p. 1
Reliability Models	p. 2
Redundancy	p. 2
Maintenance	p. 2
Stochastic Processes	p. 2
Further Studies	p. 5
Problems 1	p. 5
References	p. 6
Poisson Processes	p. 7
Exponential Distribution	p. 8
Properties of Exponential Distribution	p. 9
Poisson and Gamma Distributions	p. 14
Poisson Process	p. 18
Nonhomogeneous Poisson Process	p. 27
Applications to Reliability Models	p. 34
Replacement at the Nth Failure	p. 34
Software Reliability Model	p. 36
Compound Poisson Process	p. 36
Problems 2	p. 42
References	p. 45
Renewal Process	p. 47
Definition of Renewal Process	p. 48
Renewal Function	p. 50
Age and Residual Life Distributions	p. 58
Expected Number of Failures	p. 61
Computation of Renewal Function	p. 64
Age Replacement Policies	p. 66
Renewal Equation	p. 66
Optimum Replacement Policies	p. 69
Alternating Renewal Process	p. 73
Ordinary Alternating Renewal Process	p. 73
Interval Reliability	p. 76
Off Distribution	p. 79
Terminating Renewal Process	p. 82
Modified Renewal Processes	p. 84
Geometric Renewal Process	p. 84
Discrete Renewal Process	p. 86
Problems 3	p. 91
References	p. 93
Markov Chains	p. 95
Discrete-Time Markov Chain	p. 97
Transition Probabilities	p. 97
Classification of States	p. 101
Limiting Probabilities	p. 103
Absorbing Markov Chain	p. 108
Continuous-Time Markov Chain	p. 111
Transition Probabilities	p. 111
Pure Birth Process and Birth and Death Process	p. 112
Limiting Probabilities	p. 119
Problems 4	p. 120
References	p. 121
Semi-Markov and Markov Renewal Processes	p. 123
Markov Process	p. 124
Embedded Markov Chain	p. 132
Transition Probabilities	p. 133
First-Passage Distributions	p. 136
Expected Numbers of Visits to States	p. 138
Optimization Problems	p. 140
Markov Renewal Process with Nonregeneration Points	p. 140
Type 1 Markov Renewal Process	p. 141
Type 2 Markov Renewal Process	p. 143
Problems 5	p. 147
References	p. 148
Cumulative Processes	p. 149
Standard Cumulative Process	p. 150
Independent Process	p. 155
Modified Damage Models	p. 162
Imperfect Shock	p. 162
Random Failure Level	p. 164
Damage with Annealing	p. 166
Increasing Damage with Time	p. 169
Replacement Models	p. 170
Three Replacement Policies	p. 171
Optimum Policies	p. 173
Problems 6	p. 179
References	p. 180
Brownian Motion and Lévy Processes	p. 183
Brownian Motion and Wiener Processes	p. 183
Three Replacements of Cumulative Damage Models	p. 187
Three Damage Models	p. 187
Numerical Examples	p. 189
Lévy Process	p. 191
Problems 7	p. 196
References	p. 196
Redundant Systems	p. 199
One-Unit System	p. 200
Poisson Process	p. 200
Nonhomogeneous Poisson Process	p. 200
Renewal Process	p. 201
Alternating Renewal Process	p. 202
Two-Unit Standby System	p. 203
Exponential Failure and Repair Times	p. 204
General Failure and Repair Times	p. 205
Standby System with Spare Units	p. 211
First-Passage Time to Systems Failure	p. 211
Expected Number of Failed Units	p. 213
Expected Cost and Optimization Problems	p. 215
Problems 8	p. 216
References	p. 217
Laplace Transform	p. 219
Answers to Selected Problems	p. 225
Index	p. 249
Table of Contents provided by Ingram. All Rights Reserved.

Springer Reliability Engineering

with Applications to Reliability Theory

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

More in Management Decision Making

Principles

Life and Work

The Courage to Say "F*** It!"

Full Stack Human

The Mindset Upgrade You Need to Stay Human in a World Ruled by Technology

The 5 Types of Wealth

A Transformative Guide to Design Your Dream Life

Find Your Why

A Practical Guide for Discovering Purpose for You and Your Team

How Big Things Get Done

The Surprising Factors Behind Every Successful Project, from Home Renovations to Space Exploration

Thinking, Fast and Slow

Turn The Ship Around!

A True Story of Turning Followers into Leaders

Designing Your Life

Build the Perfect Career, Step by Step

Nudge

Improving Decisions About Health, Wealth and Happiness

Outliers

The Story of Success

Bayesian Entrepreneurship

Slow Productivity

The Lost Art of Accomplishment Without Burnout

Switch : How To Change Things, When Change is Hard

How to Change Things, When Change is Hard

Playing to Win, Expanded with Bonus HBR Articles

How Strategy Really Works

Talking to Strangers

What We Should Know about the People We Don't Know

The Energy Bus

10 Rules to Fuel Your Life, Work, and Team with Positive Energy

The Hard Thing about Hard Things

Building a Business When There Are No Easy Answers

The Black Swan

The Impact of the Highly Improbable

Bulletproof Problem Solving

The One Skill That Changes Everything

Not Everything Counts but Everything Matters

The powerful and inspirational new book about leadership and achieving success from the visionary multi-premiership winning Panthers coach

The Undoing Project

You Already Know

The Science of Mastering Your Intuition

Crucial Conversations

Tools for Talking When Stakes are High, Third Edition

This product is categorised by