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Multi-Composed Programming with Applications to Facility Location

✍ Scribed by Oleg Wilfer


Publisher
Springer Fachmedien Wiesbaden;Springer Spektrum
Year
2020
Tongue
English
Leaves
202
Series
Mathematische Optimierung und Wirtschaftsmathematik | Mathematical Optimization and Economathematics
Edition
1st ed.
Category
Library

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✦ 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.

✦ Table of Contents


Front Matter ....Pages I-XIX
Introduction (Oleg Wilfer)....Pages 1-5
Notations and preliminary results (Oleg Wilfer)....Pages 7-11
Lagrange duality for multi-composed optimization problems (Oleg Wilfer)....Pages 13-37
Duality results for minmax location problems (Oleg Wilfer)....Pages 39-133
Solving minmax location problems via epigraphical projection (Oleg Wilfer)....Pages 135-158
Numerical experiments (Oleg Wilfer)....Pages 159-181
Back Matter ....Pages 183-192

✦ Subjects


Mathematics; Continuous Optimization; Functional Analysis; Applications of Mathematics


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