Mathematical and Statistical Models and Methods in Reliability Appli
An outgrowth of the sixth conference on “Mathematical Methods in Reliability: Theory, Methods, and Applications,” this book is a selection of invited chapters, all of which deal with various aspects of mathematical and statistical models and methods in re
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Series Editor N. Balakrishnan McMaster University Department of Mathematics and Statistics 1280 Main Street West Hamilton, Ontario L8S 4K1 Canada
Editorial Advisory Board Max Engelhardt EG&G Idaho, Inc. Idaho Falls, ID 83415 Harry F. Martz Group A-1 MS F600 Los Alamos National Laboratory Los Alamos, NM 87545 Gary C. McDonald NAO Research & Development Center 30500 Mound Road Box 9055 Warren, MI 48090-9055 Peter R. Nelson Department of Mathematical Sciences Clemson University Martin Hall Box 341907 Clemson, SC 29634-1907 Kazuyuki Suzuki Communication & Systems Engineering Department University of Electro Communications 1-5-1 Chofugaoka Chofu-shi Tokyo 182 Japan For additional information on this series, go to www.springer.com/series/4982
Mathematical and Statistical Models and Methods in Reliability Applications to Medicine, Finance, and Quality Control V.V. Rykov N. Balakrishnan M.S. Nikulin Editors
Editors V.V. Rykov Department of Applied Mathematics Gubkin Russian State University of Oil and Gas Leninskii Prospekt 65 117917 Moskva Russia vladimir [email protected]
N. Balakrishnan Department of Mathematics and Statistics McMaster University 1280 Main Street West Hamilton, Ontario L8S 4K1 Canada [email protected]
M.S. Nikulin I lnstitut de Math´ematiques de Bordeaux, IMB Universit´e Victor Segalen Bordeaux 2 33076 Bordeaux Cedex France [email protected]
ISBN 978-0-8176-4970-8 e-ISBN 978-0-8176-4971-5 DOI 10.1007/978-0-8176-4971-5 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2010938856 Mathematics Subject Classification (2010): 60K10, 62Mxx, 90B25 c Springer Science+Business Media, LLC 2010 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper www.birkhauser-science.com
Contents
List of Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXI List of Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXIII
Part I Reliability Models, Methods, and Optimization 1 Reliability of Semi-Markov Systems with Asymptotic Merging Phase Space V.S. Koroliuk and N. Limnios . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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