Multi-Composed Programming with Applications to Facility Location (Mathematische Optimierung und Wirtschaftsmathematik | Mathematical Optimization and Economathematics) - Softcover

Book 4 of 5: Mathematische Optimierung und Wirtschaftsmathematik | Mathematical Optimization and Economathematics

Wilfer, Oleg

 
9783658305796: Multi-Composed Programming with Applications to Facility Location (Mathematische Optimierung und Wirtschaftsmathematik | Mathematical Optimization and Economathematics)
Softcover
ISBN 10: 3658305797 ISBN 13: 9783658305796
Publisher: Springer Spektrum, 2020

Synopsis

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.

"synopsis" may belong to another edition of this title.

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.

From the Back Cover

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.

Contents
  • Lagrange Duality for Multi-Composed Optimization Problems
  • Duality Results for Minmax Location Problems
  • Solving Minmax Location Problems via Epigraphical Projection
  • Numerical Experiments
Target Groups
  • Scientists and students in the field of mathematics, applied mathematics and mathematical economics
  • Practitioners in these fields and mathematical optimization as well as operations research
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.

"About this title" may belong to another edition of this title.

Publisher
Springer Spektrum
Publication date
2020
Language
English
ISBN 10 
3658305797
ISBN 13 
9783658305796
Binding
Paperback
Edition number
1
Number of pages
211