Multi-Composed Programming with Applications to Facility Location. 1st ed. 2020

種類:

電子ブック

責任表示:

by Oleg Wilfer

出版情報:

Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum, 2020

著者名:

• Wilfer, Oleg.
• SpringerLink (Online service)

シリーズ名:

Mathematische Optimierung und Wirtschaftsmathematik | Mathematical Optimization and Economathematics ;

ISBN:

9783658305802 [3658305800]    

注記:

Lagrange Duality for Multi-Composed Optimization Problems -- Duality Results for Minmax Location Problems -- Solving Minmax Location Problems via Epigraphical Projection -- Numerical Experiments.
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

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