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<図書>
Stochastic optimization methods

責任表示 Kurt Marti
データ種別 図書
出版情報 Berlin : Springer , c2005
本文言語 英語
大きさ xiii, 314 p. : ill. ; 24 cm
概要 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 variati...ns, 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. Book jacket.続きを見る
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所蔵情報



理系図3F 数理独自 MART/40/2 2005
023212005002872

書誌詳細

一般注記 Includes bibliographical references (p. [301]-308) and index
著者標目 *Marti, Kurt, 1943-
書誌ID 1001222776
ISBN 3540222723
NCID BA69348409
巻冊次 ISBN:3540222723
登録日 2009.09.18
更新日 2017.02.18