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Shape Optimization under Uncertainty from a Stochastic Programming Point of View, Harald Held


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Автор: Harald Held
Название:  Shape Optimization under Uncertainty from a Stochastic Programming Point of View
ISBN: 9783834809094
Издательство: Springer
Классификация:
ISBN-10: 3834809098
Обложка/Формат: Paperback
Страницы: 148
Вес: 0.30 кг.
Дата издания: 2009
Серия: Stochastic Programming
Язык: English
Иллюстрации: 13 black & white illustrations, 26 colour illustrations, biography
Размер: 210 x 148 x 8
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Optimization problems whose constraints involve partial differential equations (PDEs) are relevant in many areas of technical, industrial, and economic app- cations. At the same time, they pose challenging mathematical research problems in numerical analysis and optimization. The present text is among the ?rst in the research literature addressing stochastic uncertainty in the context of PDE constrained optimization. The focus is on shape optimization for elastic bodies under stochastic loading. Analogies to ?nite dim- sional two-stage stochastic programming drive the treatment, with shapes taking the role of nonanticipative decisions.The main results concern level set-based s- chastic shape optimization with gradient methods involving shape and topological derivatives. The special structure of the elasticity PDE enables the numerical - lution of stochastic shape optimization problems with an arbitrary number of s- narios without increasing the computational effort signi?cantly. Both risk neutral and risk averse models are investigated. This monograph is based on a doctoral dissertation prepared during 2004-2008 at the Chair of Discrete Mathematics and Optimization in the Department of Ma- ematics of the University of Duisburg-Essen. The work was supported by the Deutsche Forschungsgemeinschaft (DFG) within the Priority Program Optimi- tion with Partial Differential Equations. Rudiger Schultz Acknowledgments I owe a great deal to my supervisors, colleagues, and friends who have always supported, encouraged, andenlightenedmethroughtheirownresearch, comments, and questions.


Автор: Anatoly Zhigljavsky; Antanas ?ilinskas
Название: Stochastic Global Optimization
ISBN: 1441944850 ISBN-13(EAN): 9781441944856
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book presents the main methodological and theoretical developments in stochastic global optimization. The extensive text is divided into four chapters; some of the topics include an introduction to global random search, statistical inference, several associated random search algorithms, and various approaches to statistical models.

Advances in Stochastic and Deterministic Global Optimization

Автор: Panos M. Pardalos; Anatoly Zhigljavsky; Julius ?il
Название: Advances in Stochastic and Deterministic Global Optimization
ISBN: 3319299735 ISBN-13(EAN): 9783319299730
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Current research results in stochastic and deterministic global optimization including single and multiple objectives are explored and presented in this book by leading specialists from various fields. Contributions include applications to multidimensional data visualization, regression, survey calibration, inventory management, timetabling, chemical engineering, energy systems, and competitive facility location. Graduate students, researchers, and scientists in computer science, numerical analysis, optimization, and applied mathematics will be fascinated by the theoretical, computational, and application-oriented aspects of stochastic and deterministic global optimization explored in this book.

This volume is dedicated to the 70th birthday of Antanas ?ilinskas who is a leading world expert in global optimization. Professor ?ilinskas's research has concentrated on studying models for the objective function, the development and implementation of efficient algorithms for global optimization with single and multiple objectives, and application of algorithms for solving real-world practical problems.
Markov Decision Processes: Discrete Stochastic Dynamic Programming

Автор: Martin L. Puterman
Название: Markov Decision Processes: Discrete Stochastic Dynamic Programming
ISBN: 0471727822 ISBN-13(EAN): 9780471727828
Издательство: Wiley
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Цена: 20584.00 р.
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Описание: This book is an up-to-date, unified and rigorous treatment of theoretical, computational and applied research on Markov decision process models. The concentration of the book is on infinite-horizon discrete-time models, and it also discusses arbitrary state spaces, finite-horizon and continuous-time discrete-state models.

Decision Making with Dominance Constraints in Two-Stage Stochastic Integer Programming

Автор: Uwe Gotzes
Название: Decision Making with Dominance Constraints in Two-Stage Stochastic Integer Programming
ISBN: 3834808431 ISBN-13(EAN): 9783834808431
Издательство: Springer
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Описание: Uwe Gotzes analyzes an approach to account for risk aversion in two-stage models based upon partial orders on the set of real random variables. He illustrates the superiority of the proposed decomposition method over standard solvers for example with numerical experiments with instances from energy investment.


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