Bilevel Programming Problems Theory, Algorithms and Applications to
This book describes recent theoretical findings relevant to bilevel programming in general, and in mixed-integer bilevel programming in particular. It describes recent applications in energy problems, such as the stochastic bilevel optimization approaches
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Stephan Dempe Vyacheslav Kalashnikov Gerardo A. Pérez-Valdés Nataliya Kalashnykova
Bilevel Programming Problems Theory, Algorithms and Applications to Energy Networks
Energy Systems Series editor Panos M. Pardalos, Gainesville, USA
More information about this series at http://www.springer.com/series/8368
Stephan Dempe Vyacheslav Kalashnikov Gerardo A. Pérez-Valdés Nataliya Kalashnykova •
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Bilevel Programming Problems Theory, Algorithms and Applications to Energy Networks
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Stephan Dempe Fak. für Mathematik und Informatik TU Bergakademie Freiberg Freiberg, Sachsen Germany Vyacheslav Kalashnikov Department of Systems and Industrial Engineering Tecnologico de Monterrey (ITESM) Monterrey, NL Mexico and
Gerardo A. Pérez-Valdés Department of Industrial Economics Norwegian University of Science and Technology (NTNU) Trondheim Norway Nataliya Kalashnykova Facultad Ciencias Físico-Mathemáticas (FCFM) Universidad Autónoma de Nuevo León (UANL) San Nicolás de los Garza Mexico
Department of Social Modeling Central Economics and Mathematics Institute (CEMI) Russian Academy of Sciences Moscow Russian Federation and Deparment of Computing Sumy State University Sumy Ukraine
ISSN 1867-8998 Energy Systems ISBN 978-3-662-45826-6 DOI 10.1007/978-3-662-45827-3
ISSN 1867-9005 (electronic) ISBN 978-3-662-45827-3
(eBook)
Library of Congress Control Number: 2014958578 Springer Heidelberg New York Dordrecht London © Springer-Verlag Berlin Heidelberg 2015 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 Springer-Verlag GmbH Berlin Heidelberg is part of Springer Science+Business Media (www.springer.com)
Preface
Bilevel optimization is a vital field of active research. Depending on its formulation it is part of nonsmooth or nondifferentiable optimization, conic programming, optimization with constraints formulated as generalized equations, or set-valued optimization. The investigation of many practical problems as decision making in hierarchical structures
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