Cooperative Lot Sizing Games in Supply Chains

The presented work combines two areas of research: cooperative game theory and lot size optimization. One of the most essential problems in cooperations is to allocate cooperative profits or costs among the partners. The core is a well known method from c

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Founding Editors: M. Beckmann H.P. Künzi Managing Editors: Prof. Dr. G. Fandel Fachbereich Wirtschaftswissenschaften Fernuniversität Hagen Feithstr. 140/AVZ II, 58084 Hagen, Germany Prof. Dr. W. Trockel Institut für Mathematische Wirtschaftsforschung (IMW) Universität Bielefeld Universitätsstr. 25, 33615 Bielefeld, Germany Editorial Board: H. Dawid, D. Dimitrow, A. Gerber, C-J. Haake, C. Hofmann, T. Pfeiffer, R. Slowiński, W.H.M. Zijm

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Julia Drechsel

Cooperative Lot Sizing Games in Supply Chains

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Julia Drechsel Germany [email protected]

Zugl.: Duisburg-Essen, Univ., Diss., 2009

ISSN 0075-8442 ISBN 978-3-642-13724-2 e-ISBN 978-3-642-13725-9 DOI 10.1007/978-3-642-13725-9 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2010934000 © Springer-Verlag Berlin Heidelberg 2010 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 permissions for use must always be obtained from Springer. Violations are liable for 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: WMXDesign GmbH, Heidelberg, Germany Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

Preface

This book results from my work as a research assistant at the Universities of Freiberg and Duisburg-Essen. Starting this research was very challenging due to the highly mathematically coined literature regarding game theoretical topics. The literature shows that cooperative game theory is well studied from a theoretical point of view, but that fields of application are fairly limited up to now. Hence, the following research question arose: What can be done to make concepts from cooperative game theory more applicable to practical problems? The field of supply chain management is predestined for many kinds of cooperation because companies will be more successful if they consider relationships to suppliers, customers, and/or competitors. Therefore, this work focuses on cooperations in supply networks (horizontal and vertical cooperation) concerning joint ordering and/or joint production. Problems of ordering and production for single decision makers are well studied in operations research and are used as a basis to develop cooperative models that display situations of cooperative decision making. Being one of the most essential problems in coope