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Bilevel Programming Problems

Theory, Algorithms and Applications to Energy Networks

  • Book
  • © 2015

Overview

  • Provides a comprehensive introduction to the rapidly developing field of research in bilevel optimization
  • Develops and introduces recent applications of bilevel programming in energy problems
  • Presents and explains new algorithms for solving linear and mixed-integer bilevel programming problems
  • Includes supplementary material: sn.pub/extras

Part of the book series: Energy Systems (ENERGY)

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Table of contents (8 chapters)

Keywords

About this book

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 used in the natural gas industry. New algorithms for solving linear and mixed-integer bilevel programming problems are presented and explained.

Authors and Affiliations

  • Fak. für Mathematik und Informatik, TU Bergakademie Freiberg, Freiberg, Germany

    Stephan Dempe

  • de Sistemas, Centro de Calidad ITES Departamento de Ingenieria IndustriTecnologico de Monterrey (ITESM), Mexico, Mexico

    Vyacheslav Kalashnikov

  • Dept. of Industrial Economics, Norwegian University of Science and Technology (NTNU), Trondheim, Norway

    Gerardo A. Pérez-Valdés

  • Facultad Ciencias Físico-Mathemáticas (FCFM), Universidad Autónoma de Nuevo León (UANL), San Nicolás de los Garza, Mexico

    Nataliya Kalashnykova

About the authors

Stephan Dempe studied mathematics at the Technische Hochschule Karl-Marx-Stadt and got a PhD from the same university. Today he is professor for mathematical optimization at the TU Bergakademie Freiberg, Germany.  Focus of his work is on parametric and nonconvex optimization.

Vyacheslav Kalashnikov studied mathematics at Novosibirsk State University, he got his PhD in Operations Research from the Siberian Division of the Academy of Sciences of the USSR and his Dr.Sc. (Habilitation degree) from the Central Economics and Mathematics Institute (CEMI), Moscow, Russia. Today he is Professor at Tecnológico de Monterrey, Mexico, at the CEMI, and at Sumy State University, Ukraine. The main areas of his work are bilevel programming,  hierarchical games and their applications in engineering and economics.

Gerardo Alfredo Perez Valdes studied mathematics at the Universidad Autónoma de Nuevo León and got his PhDs in Engineering from Tecnológico de Monterrey, Mexico, and from Texas Tech University, Lubbock, USA. Today he is Professor at University of Science and Technology in Trondheim (NTNU), Norway. The focus of his work is on solution algorithms in mathematical optimization.

Nataliya Kalashnykova studied mathematics at Novosibirsk State University and got her PhD in Operations Research from the Siberian Division of the Academy of Sciences of the USSR. Today she is Professor at the Universidad Autónoma de Nuevo León, Mexico, and at Sumy State University, Ukraine. Her expertise lies in stochastic optimal control and mathematical models of optimization.




 

Bibliographic Information

  • Book Title: Bilevel Programming Problems

  • Book Subtitle: Theory, Algorithms and Applications to Energy Networks

  • Authors: Stephan Dempe, Vyacheslav Kalashnikov, Gerardo A. Pérez-Valdés, Nataliya Kalashnykova

  • Series Title: Energy Systems

  • DOI: https://doi.org/10.1007/978-3-662-45827-3

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Energy, Energy (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2015

  • Hardcover ISBN: 978-3-662-45826-6Published: 17 February 2015

  • Softcover ISBN: 978-3-662-51625-6Published: 06 October 2016

  • eBook ISBN: 978-3-662-45827-3Published: 28 January 2015

  • Series ISSN: 1867-8998

  • Series E-ISSN: 1867-9005

  • Edition Number: 1

  • Number of Pages: XII, 325

  • Number of Illustrations: 30 b/w illustrations

  • Topics: Operations Research/Decision Theory, Operations Research, Management Science, Math Applications in Computer Science

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