Maintenance Overtime Policies in Reliability Theory Models with Rand
This book introduces a new concept of replacement in maintenance and reliability theory. Replacement overtime, where replacement occurs at the first completion of a working cycle over a planned time, is a new research topic in maintenance theory and also
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Toshio Nakagawa Xufeng Zhao
Maintenance Overtime Policies in Reliability Theory Models with Random Working Cycles
Lecture Notes in Production Engineering
More information about this series at http://www.springer.com/series/10642
Toshio Nakagawa Xufeng Zhao •
Maintenance Overtime Policies in Reliability Theory Models with Random Working Cycles
123
Toshio Nakagawa Aichi Institute of Technology Toyota Japan
Xufeng Zhao Aichi Institute of Technology Toyota Japan and Qatar University Doha Qatar
ISSN 2194-0525 ISSN 2194-0533 (electronic) Lecture Notes in Production Engineering ISBN 978-3-319-20812-1 ISBN 978-3-319-20813-8 (eBook) DOI 10.1007/978-3-319-20813-8 Library of Congress Control Number: 2015943037 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2015 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, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com)
Preface
Maintenance theory is basically how to make appropriate maintenances at suitable times to prevent failures for an objective system. Classic maintenance theory was mathematically established by Barlow and Proschan [1] 50 years ago. After that, a great part of maintenance models and a variety of maintenance policies, such as preventive replacement, preventive maintenance, inspection, etc., were summarized systematically in [2, 3]. To understand maintenance theory and master reliability engineering, we have to learn probability, statistics, and stochastic processes because reliability phenomena occurs randomly. The elementary textbook for graduate students, researchers, and engineers to learn readily reliability theory was published [4], which was written in an easy style on stochastic processes, and all examples are quoted fittingly from reliability and maintenance models. It is well known generally in maintenance theory that an optimum replacement policy should be non-random [
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