Authors:
- Presents a new conjugate duality concept
Part of the book series: Mathematische Optimierung und Wirtschaftsmathematik | Mathematical Optimization and Economathematics (MOW)
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Table of contents (6 chapters)
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Front Matter
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Back Matter
About this book
Oleg Wilfer presents a new conjugate duality concept for geometric and cone constrained optimization problems whose objective functions are a composition of finitely many functions. As an application, the author derives results for single minmax location problems formulated by means of extended perturbed minimal time functions as well as for multi-facility minmax location problems defined by gauges. In addition, he provides formulae of projections onto the epigraphs of gauges to solve these kinds of location problems numerically by using parallel splitting algorithms. Numerical comparisons of recent methods show the excellent performance of the proposed solving technique.
​About the Author:
Dr. Oleg Wilfer received his PhD at the Faculty of Mathematics of Chemnitz University of Technology, Germany. He is currently working as a development engineer in the automotive industry.
Keywords
- multi-composed programming
- conjugate duality
- minmax location problem
- minimax location problem
- Minkowski functional
- gauge function
- minimal time function
- epigraphical projection
- Lagrange duality
- optimality conditions
- regularity conditions
- strong duality
- proximal point algorithm
- projection operators
- Sylvester problem
- Apollonius problem
Authors and Affiliations
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Faculty of Mathematics, Chemnitz University of Technology, Chemnitz, Germany
Oleg Wilfer
About the author
Bibliographic Information
Book Title: Multi-Composed Programming with Applications to Facility Location
Authors: Oleg Wilfer
Series Title: Mathematische Optimierung und Wirtschaftsmathematik | Mathematical Optimization and Economathematics
DOI: https://doi.org/10.1007/978-3-658-30580-2
Publisher: Springer Spektrum Wiesbaden
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Fachmedien Wiesbaden GmbH, part of Springer Nature 2020
Softcover ISBN: 978-3-658-30579-6Published: 28 May 2020
eBook ISBN: 978-3-658-30580-2Published: 27 May 2020
Series ISSN: 2523-7926
Series E-ISSN: 2523-7934
Edition Number: 1
Number of Pages: XIX, 192
Number of Illustrations: 13 b/w illustrations
Topics: Continuous Optimization, Functional Analysis, Applications of Mathematics