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.
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