Performance Analysis of Flow Lines with Non-Linear Flow of Material

Flow line design is one of the major tasks in production management. The decision to install a set of machines and buffers is often highly irreversible. It determines both cost and revenue to a large extent. In order to assess the economic impact of any p

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Stefan Helber

Performance Analysis of Flow Lines with Non-Linear Flow of Material

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Author Prof. Stefan Helber Technical University of Clausthal Institute of Business Administration and Economics Julius-Albert-Str. 2 D-38678 Clausthal-Zellerfeld Library of Congress Cataloging-in-Publication Data Helber, Stefan, 1963Performance analysis of flow lines with non-linear flow of material/Stefan Helber. p. cm. -- (Lecture notes in economics and mathematical systems ; 473) Includes bibliographical references (p. ). lSBN-13: 978-3-540-65954-9 e-1SBN-13: 978-3-642-95863-2 001: 10.1007/978-3-642-95863-2

1. Production management--Mathematical models. 2. Production engineering--Mathematical models. 3. Stochastic analysis. I. Title. II. Series. TS155.H374 1999 658.5'001'5118--dc21 99-23638 CIP

ISSN 0075-8442 ISBN-13: 978-3-540-65954-9 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, re-use of illustrations, recitation, broadcasting, reproduction on microfilms 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-Verlag. Violations are liable for prosecution under the German Copyright Law. © Springer-Verlag Berlin Heidelberg 1999 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. Typesetting: Camera ready by author "Gedruckt mit UntersUitzung der Deutschen Forschungsgemeinschaft" As "Habilitationsschrift" printed by recommendation of Fakultat fUr Wirtschaftswissenschaften of the University of Munich with the support of Deutsche Forschungsgemeinschaft. SPIN: 10699877

42/3143-543210 - Printed on acid-free paper

Preface

This book describes methods for the analysis of flow lines with limited buffer capacity. The flow of material is occasionally disrupted due to machine failures or quality problems. The focus is on flow lines with non-linear flow of material, for example because of assembly operations or quality inspections. We describe mathematical approximation techniques that can be used to estimate production rates and inventory levels for a given configuration of machines and buffers. These technical performance measures are linked to cash flows in order to assess the investment in a flow line from an economic point of view. This economic perspective shows that buffer allocation is an extremely important aspect of flow line design. This book has been accepted as a habilitation thesis by the Department of Business Administration at the Ludwig-Maximilians-Universitiit in Muni