An Image Set-Oriented Method for the Numerical Treatment of Bi-Level Multi-objective Optimization Problems

In this chapter, we consider equality constrained bi-level multi-objective optimization problems, where the lower level problem is convex. Based on a suitable reformulation of the Kuhn-Tucker equations, we present an image set-oriented algorithm of refere

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Oliver Junge · Oliver Schütze · Gary Froyland · Sina Ober-Blöbaum · Kathrin Padberg-Gehle Editors

Advances in Dynamics, Optimization and Computation A volume dedicated to Michael Dellnitz on the occasion of his 60th birthday

Studies in Systems, Decision and Control Volume 304

Series Editor Janusz Kacprzyk, Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

The series “Studies in Systems, Decision and Control” (SSDC) covers both new developments and advances, as well as the state of the art, in the various areas of broadly perceived systems, decision making and control–quickly, up to date and with a high quality. The intent is to cover the theory, applications, and perspectives on the state of the art and future developments relevant to systems, decision making, control, complex processes and related areas, as embedded in the fields of engineering, computer science, physics, economics, social and life sciences, as well as the paradigms and methodologies behind them. The series contains monographs, textbooks, lecture notes and edited volumes in systems, decision making and control spanning the areas of Cyber-Physical Systems, Autonomous Systems, Sensor Networks, Control Systems, Energy Systems, Automotive Systems, Biological Systems, Vehicular Networking and Connected Vehicles, Aerospace Systems, Automation, Manufacturing, Smart Grids, Nonlinear Systems, Power Systems, Robotics, Social Systems, Economic Systems and other. Of particular value to both the contributors and the readership are the short publication timeframe and the world-wide distribution and exposure which enable both a wide and rapid dissemination of research output. ** Indexing: The books of this series are submitted to ISI, SCOPUS, DBLP, Ulrichs, MathSciNet, Current Mathematical Publications, Mathematical Reviews, Zentralblatt Math: MetaPress and Springerlink.

More information about this series at http://www.springer.com/series/13304

Oliver Junge Oliver Schütze Gary Froyland Sina Ober-Blöbaum Kathrin Padberg-Gehle •







Editors

Advances in Dynamics, Optimization and Computation A volume dedicated to Michael Dellnitz on the occasion of his 60th birthday

123

Editors Oliver Junge Department of Mathematics Technical University of Munich Munich, Germany

Oliver Schütze Computer Science Department Cinvestav-IPN Mexico City, Distrito Federal, Mexico

Gary Froyland School of Mathematics and Statistics University of New South Wales Sydney, NSW, Australia

Sina Ober-Blöbaum Department of Mathematics Paderborn University Paderborn, Germany

Kathrin Padberg-Gehle Institute of Mathematics and its Didactics Leuphana University Lüneburg Lüneburg, Germany

ISSN 2198-4182 ISSN 2198-4190 (electronic) Studies in Systems, Decision and Control ISBN 978-3-030-51263-7 ISBN 978-3-030-51264-4 (eBook) https://doi.org/10.1007/978-3-030-51264-4 © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are solely and exclusively licensed by