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Stochastic Optimization Methods [Hardcover]

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Item description for Stochastic Optimization Methods by Kurt Marti...

Optimization problems arising in practice involve random parameters. For the computation of robust optimal solutions, i.e., optimal solutions being insensitive with respect to random parameter variations, deterministic substitute problems are needed. Based on the distribution of the random data, and using decision theoretical concepts, optimization problems under stochastic uncertainty are converted into deterministic substitute problems. Due to the occurring probabilities and expectations, approximative solution techniques must be applied. Deterministic and stochastic approximation methods and their analytical properties are provided: Taylor expansion, regression and response surface methods, probability inequalities, First Order Reliability Methods, convex approximation/deterministic descent directions/efficient points, stochastic approximation methods, differentiation of probability and mean value functions. Convergence results of the resulting iterative solution procedures are given.

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Item Specifications...

Pages   314
Est. Packaging Dimensions:   Length: 9.29" Width: 6.38" Height: 0.94"
Weight:   1.28 lbs.
Binding  Hardcover
Release Date   Dec 8, 2004
Publisher   Springer
ISBN  3540222723  
ISBN13  9783540222729  

Availability  0 units.

More About Kurt Marti

Register your artisan biography and upload your photo! Univ.Prof. Kurt Marti studierte Mathematik und Physik an der UniversitAt ZA1/4rich. Nach dem Diplom wechselte er an die UniversitAt Mannheim, wo er zum promovierte. AnschlieAend war er als Wissenschaftlicher Mitarbeiter und Dozent an der UniversitAt ZA1/4rich tAtig. Es folgte ein Aufenthalt als Visiting Associate Professor an der University of Kentucky in Lexington, Ky, USA. Er wurde dann auf die Professur fA1/4r HAhere Mathematik und Operations Research an der FakultAt fA1/4r Luft- und Raumfahrttechnik der UniversitAt der Bundeswehr MA1/4nchen berufen. SpAter erfolgte der Ruf auf die Professur fA1/4r Ingenieurmathematik an derselben UniversitAt. Sein Forschungsgebiet ist die Stochastische Optimierung, wobei approximative LAsungsverfahren und insbesondere Anwendungen im Ingenieurwesen im Vordergrund stehen. Eine Aoebersicht A1/4ber die Publikationen von Prof. Marti und seiner Arbeitsgruppe auf verschiedenen Gebieten der Stochastischen Optimierung und ihren Anwendungen in der Strukturoptimierung sowie in der Robotik findet man auf der Webseite: http: // Prof. Marti ist Chairman des GAMM-Fachausschusses "Optimierung und Angewandte Stochastik" und Chairman der IFIP Working Group WG7.7 "Stochastic Optimization."

Kurt Marti was born in 1943.

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