Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers

Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers presents a comprehensive, up-to-date description of multi-state system (MSS) reliability as a natural extension of classical binary-state reliability. It presen

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Anatoly Lisnianski · Ilia Frenkel · Yi Ding

Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers

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Anatoly Lisnianski, PhD The Israel Electric Corporation Ltd Planning, Development and Technology Division The System Reliability Department New Office Building st. Nativ haor, 1. Haifa, P.O.Box 10 Israel [email protected] [email protected]

Ilia Frenkel, PhD Shamoon College of Engineering Industrial Engineering and Management Department Center for Reliability and Risk Management Bialik/Basel Sts. Beer Sheva 84100 Israel [email protected]

Yi Ding, PhD Nanyang Technological University School of Electrical and Electronic Engineering Division of Power Engineering Singapore [email protected]

ISBN 978-1-84996-319-0 e-ISBN 978-1-84996-320-6 DOI 10.1007/978-1-84996-320-6 Springer London Dordrecht Heidelberg New York British Library Cataloguing in Publication Data A catalogue record for this book is available from the British Library Library of Congress Control Number: 2010932023 © Springer-Verlag London Limited 2010 MATLAB® is a registered trademark of The MathWorks, Inc., 3 Apple Hill Drive, Natick, MA, 01760-2098 USA, www.mathworks.com 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 licences 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: eStudioCalamar, Figueres/Berlin Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

To my wife Ella Anatoly Lisnianski To my wife Tania Ilia Frenkel To my parents Tao and Jinhong Yi Ding

Preface

Most books on reliability theory are devoted to traditional binary reliability models allowing for only two possible states for a system and for its components: perfect functionality (up) and complete failure (down). Many real-world systems are composed of multi-state components that have different performance levels and several failure modes with various effects on the entire system performance. Such systems are called multi-state systems (MSSs). Examples of MSS are power systems, communication systems, and computer systems where the system performance is characterized by generating capacity, communication, or data