Stochastic Optimization Methods

byKurt Marti

Paperback | November 6, 2010

Stochastic Optimization Methods by Kurt Marti
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Optimization problems arising in practice involve random model parameters. For the computation of robust optimal solutions, i.e., optimal solutions being insenistive with respect to random parameter variations, 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 occurring probabilities and expectations, approximative solution techniques must be applied. 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, differentiation formulas for probabilities and expectations.

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 pu...
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Title:Stochastic Optimization MethodsFormat:PaperbackProduct dimensions:340 pages, 9.25 X 6.1 X 0 inShipping dimensions:340 pages, 9.25 X 6.1 X 0 inPublished:November 6, 2010Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3642098363

ISBN - 13:9783642098369

Appropriate for ages: All ages

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