Stochastic Processes with Applications to Reliability Theory
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 understa
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Toshio Nakagawa
Stochastic Processes with Applications to Reliability Theory
123
Dr. Toshio Nakagawa Department of Business Administration Aichi Institute of Technology 1247 Yachigusa, Yakusa-cho 470-0392 Toyota Japan e-mail: [email protected]
ISSN 1614-7839 ISBN 978-0-85729-273-5
e-ISBN 978-0-85729-274-2
DOI 10.1007/978-0-85729-274-2 Springer London Dordrecht Heidelberg New York British Library Cataloguing in Publication Data A catalogue record for this book is available from the British Library Ó Springer-Verlag London Limited 2011 Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any form or by any means, with the prior permission in writing of the publishers, or in the case of reprographic reproduction in accordance with the terms of licenses issued by the Copyright Licensing Agency. Enquiries concerning reproduction outside those terms should be sent to the publishers. The use of registered names, trademarks, etc., in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant laws and regulations and therefore free for general use. The publisher makes no representation, express or implied, with regard to the accuracy of the information contained in this book and cannot accept any legal responsibility or liability for any errors or omissions that may be made. Cover design: eStudio Calamar, Berlin/Figueres Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
I have learned first reliability theory from the book Mathematical Theory of Reliability [1] written by Barlow in 1965 that is the most famous and excellent one theoretically up to now. I was a marvelously lucky reader, unfortunately, I could not understand throughly this book at that time because my poor mathematical tools and abysmal ignorance about stochastic processes. I have now already published three monographs Maintenance Theory of Reliability [2], Shock and Damage Models in Reliability Theory [3], and Advanced Reliability Models and Maintenance Policies [4] in which I have surveyed mainly maintenance policies in reliability theory on the research results of the author and my colleagues. Most of the three books have been written based on basic theory of stochastic processes and their mathematical tools. A number of graduate students, researchers, and engineers demand of us some book written in an easy style on stochastic processes to be able to understand readily reliability theory. Recently, plants, satellites, computer and information systems have become more large-scale and complex, and most products are distributed all over the world. If they or some of them would fail and have trouble, it might incur many serious and catastrophic situations and heavy damage. More and better ma
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