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Multi-Composed Programming with Applications to Facility Location

Multi-Composed Programming with Applications to Facility Location

Paperback

Series: Mathematische Optimierung Und Wirtschaftsmathematik Mathematical Optimization and Economathematics

General Mathematics

ISBN10: 3658305797
ISBN13: 9783658305796
Publisher: Springer Spektrum
Published: May 28 2020
Pages: 192
Weight: 0.63
Height: 0.49 Width: 5.83 Depth: 8.27
Language: English

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.

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General Mathematics