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Anatoly Lisnianski Ilia Frenkel Lev Khvatskin

Modern Dynamic Reliability Analysis for Multi-state Systems Stochastic Processes and the Lz-Transform

Springer Series in Reliability Engineering Series Editor Hoang Pham, Department of Industrial and Systems Engineering, Rutgers University, Piscataway, NJ, USA

More information about this series at http://www.springer.com/series/6917

Anatoly Lisnianski Ilia Frenkel Lev Khvatskin •

•

Modern Dynamic Reliability Analysis for Multi-state Systems Stochastic Processes and the LZ-Transform

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Anatoly Lisnianski The Reliability Department Israel Electric Corporation Ltd, Haifa, Israel and Center for Reliability and Risk Management, SCE-Shamoon College of Engineering Beer Sheva, Israel

Ilia Frenkel Center for Reliability and Risk Management SCE-Shamoon College of Engineering Beer Sheva, Israel

Lev Khvatskin Center for Reliability and Risk Management and Industrial Engineering and Management Department SCE-Shamoon College of Engineering Beer Sheva, Israel

ISSN 1614-7839 ISSN 2196-999X (electronic) Springer Series in Reliability Engineering ISBN 978-3-030-52487-6 ISBN 978-3-030-52488-3 (eBook) https://doi.org/10.1007/978-3-030-52488-3 © Springer Nature Switzerland AG 2021 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

To my son Roma and his wife Rima my daughter Masha and her husband Igal my beautiful granddaughters Yael, Liora, Noa, Gaya and Maya —Anatoly Lisnianski To my grandchildren Idan, Sofia, Anastasia, Thomas and Liam —Ilia Frenkel To my granddaughter Tomer —Lev Khvatskin

Preface

This book is considered as a dynamic analysis of multi-state system (MSS) with focus on reliability, availability and performability analysis of aging MSS, c