Bilevel Programming Problems - Theory, Algorithms and Application to Energy Networks

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.

List of contents

Introduction.- Linear Bilevel Optimization Problem.- Reduction of Bilevel Programming to a Single Level Problem.- Convex Bilevel Programs.- Mixed-Integer Bilevel Programming Problems.- Applications to Natural Gas Cash-Out Problem.- Applications to Other Energy Systems.- Reduction of the Dimension of the Upper Level Problem in a Bilevel Optimization Model.

About the author

Prof. Dr. Stephan Dempe, TU Bergakademie Freiberg.

Product details

• Authors: Stepha Dempe, Stephan Dempe, Vyachesla Kalashnikov, Vyacheslav Kalashnikov, Nataliya Kalashnikova, Nataliya Kalashnykova, Pérez-Valdé, Gerardo A. Pérez-Valdés
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.2015
• EAN: 9783662458266
• ISBN: 978-3-662-45826-6
• No. of pages: 325
• Dimensions: 168 mm x 244 mm x 21 mm
• Weight: 620 g
• Illustrations: XII, 325 p. 30 illus.
• Series: Energy Balance and Cancer; Energy Systems; Energy Systems; Energy Balance and Cancer
• Subjects: Social sciences, law, business > Business > General, dictionaries; Operations Research, B, ENERGY, Operations Research/Decision Theory, Operations Research and Decision Theory, Management & management techniques, Mathematical Applications in Computer Science, Operations Research, Management Science, Management decision making, Management science, Mathematical & statistical software, Operational research, Decision Making, Computer science—Mathematics, Maths for computer scientists, Math Applications in Computer Science