Manufacturing Systems Modeling and Analysis

This text presents the practical application of queueing theory results for the design and analysis of manufacturing and production systems. This textbook makes accessible to undergraduates and beginning graduates many of the seemingly esoteric results of

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Guy L. Curry · Richard M. Feldman

Manufacturing Systems Modeling and Analysis Second Edition

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Prof. Guy L. Curry Texas A & M University Dept. Industrial & Systems Engineering TAMU 3131 77843-3131 College Station Texas 241, Zachry USA [email protected]

Richard M. Feldman Texas A & M University Dept. Industrial & Systems Engineering TAMU 3131 77843-3131 College Station Texas 241, Zachry USA [email protected]

ISBN 978-3-642-16617-4 e-ISBN 978-3-642-16618-1 DOI 10.1007/978-3-642-16618-1 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2010938859 c Springer-Verlag Berlin Heidelberg 2009, 2011  This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, 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 protective laws and regulations and therefore free for general use. Cover design: eStudio Calamar S.L. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

This book is dedicated to the two individuals who keep us going, tolerate our work ethic, and make life a wondrous journey, our wives: Jerrie Curry and Alice Feldman.

Preface

This textbook was developed to fill the need for an accessible but comprehensive presentation of the analytical approaches for modeling and analyzing models of manufacturing and production systems. It is an out growth of the efforts within the Industrial and Systems Engineering Department at Texas A&M to develop and teach an analytically based undergraduate course on probabilistic modeling of manufacturing type systems. The level of this textbook is directed at undergraduate and masters students in engineering and mathematical sciences. The only prerequisite for students using this textbook is a previous course covering calculus-based probability and statistics. The underlying methodology is queueing theory, and we shall develop the basic concepts in queueing theory in sufficient detail that the reader need not have previously covered it. Queueing theory is a well-established discipline dating back to the early 1900’s work of A. K. Erlang, a Danish mathematician, on telephone traffic congestion. Although there are many textbooks on queueing theory, these texts are generally oriented to the methodological development of the field and exact results and not to the practical application of using approximations in realistic modeling situations. The appli