Reliability is a New Science Gnedenko Was Right
This work illustrates research conducted over a ten-year timespan and addresses a fundamental issue in reliability theory. This still appears to be an empirically disorganized field and the book suggests employing a deductive base in order to evolve relia
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Reliability Is A New Science Gnedenko Was Right
Reliability Is A New Science
Paolo Rocchi
Reliability Is A New Science Gnedenko Was Right
With an Appendix by Gurami Sh. Tsitsiashvili
123
Paolo Rocchi IBM Rome Italy and LUISS Guido Carli University Rome Italy
ISBN 978-3-319-57471-4 DOI 10.1007/978-3-319-57472-1
ISBN 978-3-319-57472-1
(eBook)
Library of Congress Control Number: 2017943205 © Springer International Publishing AG 2017 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. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
On fait la science avec des faits, comme on fait une maison avec des pierres: mais une accumulation de faits n’est pas plus une science qu’un tas de pierres n’est une maison. Henri Poincaré
Contents
1
Background and Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.1 What Is a Principle-Based Theory? . . . . . . . . . . . . . . . . . . . 1.2 First Cornerstone: Soloviev’s Proof . . . . . . . . . . . . . . . . . . 1.3 Comments on the Reliability Function . . . . . . . . . . . . . . . . 1.4 Questioning the Bathtub Curve . . . . . . . . . . . . . . . . . . . . . . 1.5 Scopes, Methods and Overview of the Present Work . . . . . References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Part I
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1 3 7 9 9 13 14
Properties of Functioning Systems
2
Old and Novel Tools for the Calculus of the Hazard Rate . . . . 2.1 The Reliability of What? . . . . . . . . . . . . . . . . . . . . . . . . . . 2.2 Entropic Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.3 Boltzmann-like Entropy . . . . . . . . . . . . . . . . . . . . . . . .
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