Stochastic Optimization Methods: Applications in Engineering and Operations Research - Couverture rigide

Marti, Kurt

Couverture rigide

ISBN 10 : 3662462133 ISBN 13 : 9783662462133

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2015

Synopsis

This book examines optimization problems that in practice involve random model parameters. It details the computation of robust optimal solutions, i.e., optimal solutions that are insensitive with respect to random parameter variations, where appropriate deterministic substitute problems are needed. Based on the probability distribution of the random data and using decision theoretical concepts, optimization problems under stochastic uncertainty are converted into appropriate deterministic substitute problems.

Due to the probabilities and expectations involved, the book also shows how to apply approximative solution techniques. Several deterministic and stochastic approximation methods are provided: Taylor expansion methods, regression and response surface methods (RSM), probability inequalities, multiple linearization of survival/failure domains, discretization methods, convex approximation/deterministic descent directions/efficient points, stochastic approximation and gradient procedures and differentiation formulas for probabilities and expectations.

In the third edition, this book further develops stochastic optimization methods. In particular, it now shows how to apply stochastic optimization methods to the approximate solution of important concrete problems arising in engineering, economics and operations research.

A propos du livre

À propos de l?auteur

Dr. Kurt Marti is a full Professor of Engineering Mathematics at the "Federal Armed Forces University of Munich“. He is Chairman of the IFIP-Working Group 7.7 on “Stochastic Optimization” and has been Chairman of the GAMM-Special Interest Group “Applied Stochastics and Optimization”. Professor Marti has published several books, both in German and in English and he is author of more than 160 papers in refereed journals.

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 2015
• Langue: anglais
• ISBN 10: 3662462133
• ISBN 13: 9783662462133
• Reliure: Relié
• Numéro d'édition: 3
• Nombre de pages: 368
• Coordonnées du fabricant: non disponible