Download or read book Active Robust Optimization Optimizing for Robustness of Changeable Products written by Shaul Salomon and published by . This book was released on 2019 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a novel framework, known as Active Robust Optimization, which provides the tools for evaluating, comparing and optimizing changeable products. Since any product that can change its configuration during normal operation may be considered a "changeable product," the framework is widely applicable. Further, the methodology enables designers to use adaptability to deal with uncertainties and so avoid over-conservative designs. Offering a comprehensive overview of the framework, including its unique features, such as its ability to optimally respond to uncertain situations, the book also defines a new class of optimization problem and examines the effects of changes in various parameters on their solution. Lastly, it discusses innovative approaches for solving the problem and demonstrates these with two examples from different fields in engineering design: optimization of an optical table and optimization of a gearbox.

Download or read book Active Robust Optimization Optimizing for Robustness of Changeable Products written by Shaul Salomon and published by Springer. This book was released on 2019-07-06 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a novel framework, known as Active Robust Optimization, which provides the tools for evaluating, comparing and optimizing changeable products. Since any product that can change its configuration during normal operation may be considered a “changeable product,” the framework is widely applicable. Further, the methodology enables designers to use adaptability to deal with uncertainties and so avoid over-conservative designs. Offering a comprehensive overview of the framework, including its unique features, such as its ability to optimally respond to uncertain situations, the book also defines a new class of optimization problem and examines the effects of changes in various parameters on their solution. Lastly, it discusses innovative approaches for solving the problem and demonstrates these ‎with two examples from different fields in engineering design: optimization of an optical table and optimization of a gearbox.

Download or read book Robust Design and Assessment of Product and Production by Means of Probabilistic Multi objective Optimization written by Maosheng Zheng and published by Springer Nature. This book was released on 2024 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zusammenfassung: This book develops robust design and assessment of product and production from viewpoint of system theory, which is quantized with the introduction of brand new concept of preferable probability and its assessment. It aims to provide a new idea and novel way to robust design and assessment of product and production and relevant problems. Robust design and assessment of product and production is attractive to both customer and producer since the stability and insensitivity of a product's quality to uncontrollable factors reflect its value. Taguchi method has been used to conduct robust design and assessment of product and production for half a century, but its rationality is criticized by statisticians due to its casting of both mean value of a response and its dispersion into one index, which doesn't characterize the issue of simultaneous robust design of above two independent responses sufficiently, so an appropriate approach is needed. The preference or role of a response in the evaluation is indicated by using preferable probability as the unique index. Thus, the rational approach for robust design and assessment of product and production is formulated by means of probabilistic multi-objective optimization, which reveals the simultaneous robust designs of both mean value of a response and its dispersion in manner of joint probability. Besides, defuzzification and fuzzification measurements are involved as preliminary approaches for robust assessment, the latter provides miraculous treatment for the 'target the best' case flexibly

Download or read book Robust Optimization written by and published by . This book was released on 2006 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 565 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.

Download or read book On Robust Optimization written by Elisabeth Anna Sophia Köbis and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robust Optimization; Uncertainties; Scenarios; Multi-objective Optimization; Set Optimization; Scalarization; Vectorization; Optimality Conditions

Download or read book Robust Optimization Complexity and Solution Methods written by André Chassein and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Robust Optimization written by Almir Mutapcic and published by . This book was released on 2008 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: We then study a general robust nonconvex design problem, with arbitrary dependence on the uncertain parameters, which are assumed to lie in some given set of possible values. We use the same optimize-pessimize approach as before, coupled with sequential convex programming and a successive refinement technique, in order to obtain quite robust designs. We illustrate the method by designing robust tapers for coupling power between uniform and slow-light periodic waveguides.

Download or read book Robustness in Machine Learning and Optimization with Limited Structural Knowledge written by Nimit Sharad Sohoni and published by . This book was released on 2022 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this dissertation, we develop and analyze algorithms for robustness in three different machine learning settings. In the first part of the dissertation, we introduce the problem of hidden stratification -- which is when a classification model substantially underperforms on certain unlabeled subclasses of the data -- and propose a method to detect and mitigate this issue. Previous works studied how to address this in the setting where the subclass labels are known. Based on the empirical observation that unlabeled subclasses are often separable in the feature space of deep neural networks, we instead estimate subclass labels for the data using clustering techniques. We then use the estimated subclass labels as a form of noisy supervision in a distributionally robust optimization objective, in order to train a model that is more robust to inter-subclass variations. We demonstrate the effectiveness of our approach on several robust image classification benchmarks. We briefly discuss alternative methods for 1) utilizing a limited number of subclass labels to further improve performance, and 2) using contrastive learning to learn representations less susceptible to hidden stratification. In the second part of the dissertation, we study the problem of evaluating classification models under structured distribution shifts. Given a labeled sample from a "source" distribution and an unlabeled sample from the "target" distribution, importance weighting is the standard approach to perform such evaluations; however, importance weighting can struggle in high-dimensional settings, and fails when the support of the target distribution is not contained in that of the source. We show that one can sidestep these issues with some foreknowledge of the nature of the distribution shift; specifically, we present an algorithm that uses user-defined "slicing functions" -- binary functions intended to capture possible axes of distribution shift -- to estimate performance on the target distribution. We theoretically characterize the robustness of our approach to noise and incompleteness in the slicing functions, and empirically verify its effectiveness on a variety of classification tasks. In the third part of the dissertation, we develop an accelerated gradient method to efficiently minimize a class of smooth structured nonconvex functions which we term "quasar-convex" functions. Our algorithm is a generalization of the classic accelerated gradient descent method for convex functions, and is robust to possible nonconvexity between algorithm iterates. We provide upper and lower bounds on the number of first-order evaluations that our algorithm requires to find an approximate optimum, which show that our algorithm has optimal complexity up to logarithmic factors.

Download or read book Robust Control Design with MATLAB written by Da-Wei Gu and published by Springer Science & Business Media. This book was released on 2005-06-20 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shows readers how to exploit the capabilities of the MATLAB® Robust Control and Control Systems Toolboxes to the fullest using practical robust control examples.

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.

Download or read book Optimization in Practice with MATLAB written by Achille Messac and published by Cambridge University Press. This book was released on 2015-03-19 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is designed for students and industry practitioners for a first course in optimization integrating MATLAB® software.

Download or read book Design for Six Sigma in Technology and Product Development written by Clyde M. Creveling and published by Prentice Hall Professional. This book was released on 2002-10-25 with total page 1011 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses many new topical areas for the development of 6 Sigma performance. The text is structured to demonstrate how 6 Sigma methods can be used as a very powerful tool within System Engineering and integration evaluations to help enable the process of Critical Parameter Management. The case studies and examples used throughout the book come from recent successful applications of the material developed in the text.

Download or read book Pyomo Optimization Modeling in Python written by William E. Hart and published by Springer Science & Business Media. This book was released on 2012-02-15 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a complete and comprehensive reference/guide to Pyomo (Python Optimization Modeling Objects) for both beginning and advanced modelers, including students at the undergraduate and graduate levels, academic researchers, and practitioners. The text illustrates the breadth of the modeling and analysis capabilities that are supported by the software and support of complex real-world applications. Pyomo is an open source software package for formulating and solving large-scale optimization and operations research problems. The text begins with a tutorial on simple linear and integer programming models. A detailed reference of Pyomo's modeling components is illustrated with extensive examples, including a discussion of how to load data from data sources like spreadsheets and databases. Chapters describing advanced modeling capabilities for nonlinear and stochastic optimization are also included. The Pyomo software provides familiar modeling features within Python, a powerful dynamic programming language that has a very clear, readable syntax and intuitive object orientation. Pyomo includes Python classes for defining sparse sets, parameters, and variables, which can be used to formulate algebraic expressions that define objectives and constraints. Moreover, Pyomo can be used from a command-line interface and within Python's interactive command environment, which makes it easy to create Pyomo models, apply a variety of optimizers, and examine solutions. The software supports a different modeling approach than commercial AML (Algebraic Modeling Languages) tools, and is designed for flexibility, extensibility, portability, and maintainability but also maintains the central ideas in modern AMLs.

Download or read book Building Performance Analysis written by Pieter de Wilde and published by John Wiley & Sons. This book was released on 2018-07-23 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores and brings together the existent body of knowledge on building performance analysis Shortlisted in the CIBSE 2020 Building Performance Awards Building performance is an important yet surprisingly complex concept. This book presents a comprehensive and systematic overview of the subject. It provides a working definition of building performance, and an in-depth discussion of the role building performance plays throughout the building life cycle. The book also explores the perspectives of various stakeholders, the functions of buildings, performance requirements, performance quantification (both predicted and measured), criteria for success, and the challenges of using performance analysis in practice. Building Performance Analysis starts by introducing the subject of building performance: its key terms, definitions, history, and challenges. It then develops a theoretical foundation for the subject, explores the complexity of performance assessment, and the way that performance analysis impacts on actual buildings. In doing so, it attempts to answer the following questions: What is building performance? How can building performance be measured and analyzed? How does the analysis of building performance guide the improvement of buildings? And what can the building domain learn from the way performance is handled in other disciplines? Assembles the current body of knowledge on building performance analysis in one unique resource Offers deep insights into the complexity of using building performance analysis throughout the entire building life cycle, including design, operation and management Contributes an emergent theory of building performance and its analysis Building Performance Analysis will appeal to the building science community, both from industry and academia. It specifically targets advanced students in architectural engineering, building services design, building performance simulation and similar fields who hold an interest in ensuring that buildings meet the needs of their stakeholders.

Download or read book Practical Optimization written by Philip E. Gill and published by SIAM. This book was released on 2019-12-16 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the intervening years since this book was published in 1981, the field of optimization has been exceptionally lively. This fertility has involved not only progress in theory, but also faster numerical algorithms and extensions into unexpected or previously unknown areas such as semidefinite programming. Despite these changes, many of the important principles and much of the intuition can be found in this Classics version of Practical Optimization. This book provides model algorithms and pseudocode, useful tools for users who prefer to write their own code as well as for those who want to understand externally provided code. It presents algorithms in a step-by-step format, revealing the overall structure of the underlying procedures and thereby allowing a high-level perspective on the fundamental differences. And it contains a wealth of techniques and strategies that are well suited for optimization in the twenty-first century, and particularly in the now-flourishing fields of data science, “big data,” and machine learning. Practical Optimization is appropriate for advanced undergraduates, graduate students, and researchers interested in methods for solving optimization problems.

Download or read book Financial Risk Modelling and Portfolio Optimization with R written by Bernhard Pfaff and published by John Wiley & Sons. This book was released on 2016-08-16 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Financial Risk Modelling and Portfolio Optimization with R, 2nd Edition Bernhard Pfaff, Invesco Global Asset Allocation, Germany A must have text for risk modelling and portfolio optimization using R. This book introduces the latest techniques advocated for measuring financial market risk and portfolio optimization, and provides a plethora of R code examples that enable the reader to replicate the results featured throughout the book. This edition has been extensively revised to include new topics on risk surfaces and probabilistic utility optimization as well as an extended introduction to R language. Financial Risk Modelling and Portfolio Optimization with R: Demonstrates techniques in modelling financial risks and applying portfolio optimization techniques as well as recent advances in the field. Introduces stylized facts, loss function and risk measures, conditional and unconditional modelling of risk; extreme value theory, generalized hyperbolic distribution, volatility modelling and concepts for capturing dependencies. Explores portfolio risk concepts and optimization with risk constraints. Is accompanied by a supporting website featuring examples and case studies in R. Includes updated list of R packages for enabling the reader to replicate the results in the book. Graduate and postgraduate students in finance, economics, risk management as well as practitioners in finance and portfolio optimization will find this book beneficial. It also serves well as an accompanying text in computer-lab classes and is therefore suitable for self-study.