Design Optimization Under Uncertainty

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Design Optimization Under Uncertainty

Author : Weifei Hu
Publisher : Springer Nature
ISBN 13 : 3031492080
Total Pages : 282 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Design Optimization Under Uncertainty by : Weifei Hu

Download or read book Design Optimization Under Uncertainty written by Weifei Hu and published by Springer Nature. This book was released on 2023-12-22 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the fundamentals of probability, statistical, and reliability concepts, the classical methods of uncertainty quantification and analytical reliability analysis, and the state-of-the-art approaches of design optimization under uncertainty (e.g., reliability-based design optimization and robust design optimization). The topics include basic concepts of probability and distributions, uncertainty quantification using probabilistic methods, classical reliability analysis methods, time-variant reliability analysis methods, fundamentals of deterministic design optimization, reliability-based design optimization, robust design optimization, other methods of design optimization under uncertainty, and engineering applications of design optimization under uncertainty.

Optimization Under Uncertainty with Applications to Aerospace Engineering

Author : Massimiliano Vasile
Publisher : Springer Nature
ISBN 13 : 3030601668
Total Pages : 573 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Optimization Under Uncertainty with Applications to Aerospace Engineering by : Massimiliano Vasile

Download or read book Optimization Under Uncertainty with Applications to Aerospace Engineering written by Massimiliano Vasile and published by Springer Nature. This book was released on 2021-02-15 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an expanding world with limited resources, optimization and uncertainty quantification have become a necessity when handling complex systems and processes. This book provides the foundational material necessary for those who wish to embark on advanced research at the limits of computability, collecting together lecture material from leading experts across the topics of optimization, uncertainty quantification and aerospace engineering. The aerospace sector in particular has stringent performance requirements on highly complex systems, for which solutions are expected to be optimal and reliable at the same time. The text covers a wide range of techniques and methods, from polynomial chaos expansions for uncertainty quantification to Bayesian and Imprecise Probability theories, and from Markov chains to surrogate models based on Gaussian processes. The book will serve as a valuable tool for practitioners, researchers and PhD students.

Introduction to Applied Optimization

Author : Urmila Diwekar
Publisher : Springer Science & Business Media
ISBN 13 : 1475737459
Total Pages : 342 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Introduction to Applied Optimization by : Urmila Diwekar

Download or read book Introduction to Applied Optimization written by Urmila Diwekar and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents a multi-disciplined view of optimization, providing students and researchers with a thorough examination of algorithms, methods, and tools from diverse areas of optimization without introducing excessive theoretical detail. This second edition includes additional topics, including global optimization and a real-world case study using important concepts from each chapter. Introduction to Applied Optimization is intended for advanced undergraduate and graduate students and will benefit scientists from diverse areas, including engineers.

Structural Design Optimization Considering Uncertainties

Author : Yannis Tsompanakis
Publisher : Taylor & Francis
ISBN 13 : 1134055064
Total Pages : 669 pages
Book Rating : 4.1/5 (34 download)

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Book Synopsis Structural Design Optimization Considering Uncertainties by : Yannis Tsompanakis

Download or read book Structural Design Optimization Considering Uncertainties written by Yannis Tsompanakis and published by Taylor & Francis. This book was released on 2008-02-07 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uncertainties play a dominant role in the design and optimization of structures and infrastructures. In optimum design of structural systems due to variations of the material, manufacturing variations, variations of the external loads and modelling uncertainty, the parameters of a structure, a structural system and its environment are not given, fixed coefficients, but random variables with a certain probability distribution. The increasing necessity to solve complex problems in Structural Optimization, Structural Reliability and Probabilistic Mechanics, requires the development of new ideas, innovative methods and numerical tools for providing accurate numerical solutions in affordable computing times. This book presents the latest findings on structural optimization considering uncertainties. It contains selected contributions dealing with the use of probabilistic methods for the optimal design of different types of structures and various considerations of uncertainties. The first part is focused on reliability-based design optimization and the second part on robust design optimization. Comprising twenty-one, self-contained chapters by prominent authors in the field, it forms a complete collection of state-of-the-art theoretical advances and applications in the fields of structural optimization, structural reliability, and probabilistic computational mechanics. It is recommended to researchers, engineers, and students in civil, mechanical, naval and aerospace engineering and to professionals working on complicated costs-effective design problems.

Aerospace System Analysis and Optimization in Uncertainty

Author : Loïc Brevault
Publisher : Springer Nature
ISBN 13 : 3030391264
Total Pages : 477 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Aerospace System Analysis and Optimization in Uncertainty by : Loïc Brevault

Download or read book Aerospace System Analysis and Optimization in Uncertainty written by Loïc Brevault and published by Springer Nature. This book was released on 2020-08-26 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spotlighting the field of Multidisciplinary Design Optimization (MDO), this book illustrates and implements state-of-the-art methodologies within the complex process of aerospace system design under uncertainties. The book provides approaches to integrating a multitude of components and constraints with the ultimate goal of reducing design cycles. Insights on a vast assortment of problems are provided, including discipline modeling, sensitivity analysis, uncertainty propagation, reliability analysis, and global multidisciplinary optimization. The extensive range of topics covered include areas of current open research. This Work is destined to become a fundamental reference for aerospace systems engineers, researchers, as well as for practitioners and engineers working in areas of optimization and uncertainty. Part I is largely comprised of fundamentals. Part II presents methodologies for single discipline problems with a review of existing uncertainty propagation, reliability analysis, and optimization techniques. Part III is dedicated to the uncertainty-based MDO and related issues. Part IV deals with three MDO related issues: the multifidelity, the multi-objective optimization and the mixed continuous/discrete optimization and Part V is devoted to test cases for aerospace vehicle design.

Optimization of Structural and Mechanical Systems

Author :
Publisher :
ISBN 13 : 9814477222
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Optimization of Structural and Mechanical Systems by :

Download or read book Optimization of Structural and Mechanical Systems written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modern Trends in Structural and Solid Mechanics 3

Author : Noel Challamel
Publisher : John Wiley & Sons
ISBN 13 : 1786307189
Total Pages : 306 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Modern Trends in Structural and Solid Mechanics 3 by : Noel Challamel

Download or read book Modern Trends in Structural and Solid Mechanics 3 written by Noel Challamel and published by John Wiley & Sons. This book was released on 2021-06-29 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book – comprised of three separate volumes – presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This third volume is devoted to non-deterministic mechanics. Modern Trends in Structural and Solid Mechanics 3 has broad scope, covering topics such: design optimization under uncertainty, interval field approaches, convex analysis, quantum inspired topology optimization and stochastic dynamics. The book is illustrated by many applications in the field of aerospace engineering, mechanical engineering, civil engineering, biomedical engineering and automotive engineering. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.

Engineering Design Optimization

Author : Joaquim R. R. A. Martins
Publisher : Cambridge University Press
ISBN 13 : 110898861X
Total Pages : 653 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Engineering Design Optimization by : Joaquim R. R. A. Martins

Download or read book Engineering Design Optimization written by Joaquim R. R. A. Martins and published by Cambridge University Press. This book was released on 2021-11-18 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on course-tested material, this rigorous yet accessible graduate textbook covers both fundamental and advanced optimization theory and algorithms. It covers a wide range of numerical methods and topics, including both gradient-based and gradient-free algorithms, multidisciplinary design optimization, and uncertainty, with instruction on how to determine which algorithm should be used for a given application. It also provides an overview of models and how to prepare them for use with numerical optimization, including derivative computation. Over 400 high-quality visualizations and numerous examples facilitate understanding of the theory, and practical tips address common issues encountered in practical engineering design optimization and how to address them. Numerous end-of-chapter homework problems, progressing in difficulty, help put knowledge into practice. Accompanied online by a solutions manual for instructors and source code for problems, this is ideal for a one- or two-semester graduate course on optimization in aerospace, civil, mechanical, electrical, and chemical engineering departments.

Optimization and Anti-Optimization of Structures Under Uncertainty

Author : Isaac Elishakoff
Publisher : World Scientific
ISBN 13 : 190897818X
Total Pages : 424 pages
Book Rating : 4.9/5 (89 download)

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Book Synopsis Optimization and Anti-Optimization of Structures Under Uncertainty by : Isaac Elishakoff

Download or read book Optimization and Anti-Optimization of Structures Under Uncertainty written by Isaac Elishakoff and published by World Scientific. This book was released on 2010-03-08 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume presents a collaboration between internationally recognized experts on anti-optimization and structural optimization, and summarizes various novel ideas, methodologies and results studied over 20 years. The book vividly demonstrates how the concept of uncertainty should be incorporated in a rigorous manner during the process of designing real-world structures. The necessity of anti-optimization approach is first demonstrated, then the anti-optimization techniques are applied to static, dynamic and buckling problems, thus covering the broadest possible set of applications. Finally, anti-optimization is fully utilized by a combination of structural optimization to produce the optimal design considering the worst-case scenario. This is currently the only book that covers the combination of optimization and anti-optimization. It shows how various optimization techniques are used in the novel anti-optimization technique, and how the structural optimization can be exponentially enhanced by incorporating the concept of worst-case scenario, thereby increasing the safety of the structures designed in various fields of engineering. Contents:Optimization or Making the Best in the Presence of Certainty/UncertaintyGeneral Formulation of Anti-OptimizationAnti-Optimization in Static ProblemsAnti-Optimization in BucklingAnti-Optimization in VibrationAnti-Optimization via FEM-Based Interval AnalysisAnti-Optimization and Probabilistic DesignHybrid Optimization with Anti-Optimization under Uncertainty or Making the Best Out of the Worst Readership: Graduate students, professionals and academics in the field of mechanical engineering. Keywords:Anti-Optimization;Structural Optimization;Convex Model;Worst-Case Scenario;Ellipsoidal Model;Worst Excitation;Worst Imperfection;Homology Design;Interval AnalysisKey Features:This is the first book on optimization and anti-optimization Tackles two of the most important facets of engineering — safety and optimality — in a unified manner; the book may prove to be a turning point in both optimization and uncertainty studies by the suggested hybrid treatmentReviews:“Many applications to the optimal structural design are presented. Since some of the criteria are based on worst case scenarios, nested or two-stage optimization problems have to be considered. The book contains many examples and a large number of references.”Zentralblatt MATH

Probabilistic and Randomized Methods for Design under Uncertainty

Author : Giuseppe Calafiore
Publisher : Springer Science & Business Media
ISBN 13 : 1846280958
Total Pages : 454 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Probabilistic and Randomized Methods for Design under Uncertainty by : Giuseppe Calafiore

Download or read book Probabilistic and Randomized Methods for Design under Uncertainty written by Giuseppe Calafiore and published by Springer Science & Business Media. This book was released on 2006-03-06 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probabilistic and Randomized Methods for Design under Uncertainty is a collection of contributions from the world’s leading experts in a fast-emerging branch of control engineering and operations research. The book will be bought by university researchers and lecturers along with graduate students in control engineering and operational research.

Optimal Learning

Author : Warren B. Powell
Publisher : John Wiley & Sons
ISBN 13 : 1118309847
Total Pages : 416 pages
Book Rating : 4.1/5 (183 download)

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Book Synopsis Optimal Learning by : Warren B. Powell

Download or read book Optimal Learning written by Warren B. Powell and published by John Wiley & Sons. This book was released on 2013-07-09 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn the science of collecting information to make effective decisions Everyday decisions are made without the benefit of accurate information. Optimal Learning develops the needed principles for gathering information to make decisions, especially when collecting information is time-consuming and expensive. Designed for readers with an elementary background in probability and statistics, the book presents effective and practical policies illustrated in a wide range of applications, from energy, homeland security, and transportation to engineering, health, and business. This book covers the fundamental dimensions of a learning problem and presents a simple method for testing and comparing policies for learning. Special attention is given to the knowledge gradient policy and its use with a wide range of belief models, including lookup table and parametric and for online and offline problems. Three sections develop ideas with increasing levels of sophistication: Fundamentals explores fundamental topics, including adaptive learning, ranking and selection, the knowledge gradient, and bandit problems Extensions and Applications features coverage of linear belief models, subset selection models, scalar function optimization, optimal bidding, and stopping problems Advanced Topics explores complex methods including simulation optimization, active learning in mathematical programming, and optimal continuous measurements Each chapter identifies a specific learning problem, presents the related, practical algorithms for implementation, and concludes with numerous exercises. A related website features additional applications and downloadable software, including MATLAB and the Optimal Learning Calculator, a spreadsheet-based package that provides an introduction to learning and a variety of policies for learning.

Robust Optimization

Author : Aharon Ben-Tal
Publisher : Princeton University Press
ISBN 13 : 1400831059
Total Pages : 576 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Robust Optimization by : Aharon Ben-Tal

Download or read book Robust Optimization written by Aharon Ben-Tal and published by Princeton University Press. This book was released on 2009-08-10 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robust optimization is still a relatively new approach to optimization problems affected by uncertainty, but it has already proved so useful in real applications that it is difficult to tackle such problems today without considering this powerful methodology. Written by the principal developers of robust optimization, and describing the main achievements of a decade of research, this is the first book to provide a comprehensive and up-to-date account of the subject. Robust optimization is designed to meet some major challenges associated with uncertainty-affected optimization problems: to operate under lack of full information on the nature of uncertainty; to model the problem in a form that can be solved efficiently; and to provide guarantees about the performance of the solution. The book starts with a relatively simple treatment of uncertain linear programming, proceeding with a deep analysis of the interconnections between the construction of appropriate uncertainty sets and the classical chance constraints (probabilistic) approach. It then develops the robust optimization theory for uncertain conic quadratic and semidefinite optimization problems and dynamic (multistage) problems. The theory is supported by numerous examples and computational illustrations. An essential book for anyone working on optimization and decision making under uncertainty, Robust Optimization also makes an ideal graduate textbook on the subject.

Surrogate Model-Based Engineering Design and Optimization

Author : Ping Jiang
Publisher : Springer Nature
ISBN 13 : 9811507317
Total Pages : 240 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Surrogate Model-Based Engineering Design and Optimization by : Ping Jiang

Download or read book Surrogate Model-Based Engineering Design and Optimization written by Ping Jiang and published by Springer Nature. This book was released on 2019-11-01 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers some of the most popular methods in design space sampling, ensembling surrogate models, multi-fidelity surrogate model construction, surrogate model selection and validation, surrogate-based robust design optimization, and surrogate-based evolutionary optimization. Surrogate or metamodels are now frequently used in complex engineering product design to replace expensive simulations or physical experiments. They are constructed from available input parameter values and the corresponding output performance or quantities of interest (QOIs) to provide predictions based on the fitted or interpolated mathematical relationships. The book highlights a range of methods for ensembling surrogate and multi-fidelity models, which offer a good balance between surrogate modeling accuracy and building cost. A number of real-world engineering design problems, such as three-dimensional aircraft design, are also provided to illustrate the ability of surrogates for supporting complex engineering design. Lastly, illustrative examples are included throughout to help explain the approaches in a more “hands-on” manner.

Robust Design Optimization of Structures Under Uncertainties

Author : Zhan Kang
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (254 download)

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Book Synopsis Robust Design Optimization of Structures Under Uncertainties by : Zhan Kang

Download or read book Robust Design Optimization of Structures Under Uncertainties written by Zhan Kang and published by . This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algorithms for Optimization

Author : Mykel J. Kochenderfer
Publisher : MIT Press
ISBN 13 : 0262039427
Total Pages : 521 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Algorithms for Optimization by : Mykel J. Kochenderfer

Download or read book Algorithms for Optimization written by Mykel J. Kochenderfer and published by MIT Press. This book was released on 2019-03-12 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to optimization with a focus on practical algorithms for the design of engineering systems. This book offers a comprehensive introduction to optimization with a focus on practical algorithms. The book approaches optimization from an engineering perspective, where the objective is to design a system that optimizes a set of metrics subject to constraints. Readers will learn about computational approaches for a range of challenges, including searching high-dimensional spaces, handling problems where there are multiple competing objectives, and accommodating uncertainty in the metrics. Figures, examples, and exercises convey the intuition behind the mathematical approaches. The text provides concrete implementations in the Julia programming language. Topics covered include derivatives and their generalization to multiple dimensions; local descent and first- and second-order methods that inform local descent; stochastic methods, which introduce randomness into the optimization process; linear constrained optimization, when both the objective function and the constraints are linear; surrogate models, probabilistic surrogate models, and using probabilistic surrogate models to guide optimization; optimization under uncertainty; uncertainty propagation; expression optimization; and multidisciplinary design optimization. Appendixes offer an introduction to the Julia language, test functions for evaluating algorithm performance, and mathematical concepts used in the derivation and analysis of the optimization methods discussed in the text. The book can be used by advanced undergraduates and graduate students in mathematics, statistics, computer science, any engineering field, (including electrical engineering and aerospace engineering), and operations research, and as a reference for professionals.

Optimization Techniques for Problem Solving in Uncertainty

Author : Tilahun, Surafel Luleseged
Publisher : IGI Global
ISBN 13 : 1522550925
Total Pages : 313 pages
Book Rating : 4.5/5 (225 download)

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Book Synopsis Optimization Techniques for Problem Solving in Uncertainty by : Tilahun, Surafel Luleseged

Download or read book Optimization Techniques for Problem Solving in Uncertainty written by Tilahun, Surafel Luleseged and published by IGI Global. This book was released on 2018-06-22 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: When it comes to optimization techniques, in some cases, the available information from real models may not be enough to construct either a probability distribution or a membership function for problem solving. In such cases, there are various theories that can be used to quantify the uncertain aspects. Optimization Techniques for Problem Solving in Uncertainty is a scholarly reference resource that looks at uncertain aspects involved in different disciplines and applications. Featuring coverage on a wide range of topics including uncertain preference, fuzzy multilevel programming, and metaheuristic applications, this book is geared towards engineers, managers, researchers, and post-graduate students seeking emerging research in the field of optimization.

Advances in Uncertainty Quantification and Optimization Under Uncertainty with Aerospace Applications

Author : Massimiliano Vasile
Publisher : Springer Nature
ISBN 13 : 3030805425
Total Pages : 448 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Advances in Uncertainty Quantification and Optimization Under Uncertainty with Aerospace Applications by : Massimiliano Vasile

Download or read book Advances in Uncertainty Quantification and Optimization Under Uncertainty with Aerospace Applications written by Massimiliano Vasile and published by Springer Nature. This book was released on 2022-01-27 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 2020 International Conference on Uncertainty Quantification & Optimization gathered together internationally renowned researchers in the fields of optimization and uncertainty quantification. The resulting proceedings cover all related aspects of computational uncertainty management and optimization, with particular emphasis on aerospace engineering problems. The book contributions are organized under four major themes: Applications of Uncertainty in Aerospace & Engineering Imprecise Probability, Theory and Applications Robust and Reliability-Based Design Optimisation in Aerospace Engineering Uncertainty Quantification, Identification and Calibration in Aerospace Models This proceedings volume is useful across disciplines, as it brings the expertise of theoretical and application researchers together in a unified framework.