Decision Diagrams for Optimization

This book introduces a novel approach to discrete optimization, providing both theoretical insights and algorithmic developments that lead to improvements over state-of-the-art technology. The authors present chapters on the use of decision diagrams for c

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David Bergman Andre A. Cire Willem-Jan van Hoeve John Hooker

Decision Diagrams for Optimization

Artificial Intelligence: Foundations, Theory, and Algorithms Series editors Barry O’Sullivan, Cork, Ireland Michael Wooldridge, Oxford, UK

More information about this series at http://www.springer.com/series/13900

David Bergman Andre A. Cire Willem-Jan van Hoeve John Hooker •



Decision Diagrams for Optimization

123

David Bergman Department of Operations and Information Management, School of Business University of Connecticut Storrs, CT USA Andre A. Cire Department of Management, UTSC University of Toronto Toronto, ON Canada

Willem-Jan van Hoeve Tepper School of Business Carnegie Mellon University Pittsburgh, PA USA John Hooker Tepper School of Business Carnegie Mellon University Pittsburgh, PA USA

ISSN 2365-3051 ISSN 2365-306X (electronic) Artificial Intelligence: Foundations, Theory, and Algorithms ISBN 978-3-319-42847-5 ISBN 978-3-319-42849-9 (eBook) DOI 10.1007/978-3-319-42849-9 Library of Congress Control Number: 2016953636 © Springer International Publishing Switzerland 2016 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. 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

Contents

1

2

Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.1 Motivation for the Book . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

1 1

1.2 A New Solution Technology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.3 An Example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

2 4

1.4 Plan of the Book . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

8

Historical Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . .