Robust Optimization

Author : Aharon Ben-Tal,Laurent El Ghaoui,Arkadi Nemirovski
Publisher : Princeton University Press
Page : 576 pages
File Size : 47,7 Mb
Release : 2009-08-10
Category : Mathematics
ISBN : 9781400831050

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Robust Optimization by Aharon Ben-Tal,Laurent El Ghaoui,Arkadi Nemirovski Pdf

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.

Author : Xu Andy Sun,Antonio J. Conejo
Publisher : Springer Nature
Page : 337 pages
File Size : 49,9 Mb
Release : 2021-11-08
Category : Business & Economics
ISBN : 9783030851286

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Robust Optimization in Electric Energy Systems by Xu Andy Sun,Antonio J. Conejo Pdf

This book covers robust optimization theory and applications in the electricity sector. The advantage of robust optimization with respect to other methodologies for decision making under uncertainty are first discussed. Then, the robust optimization theory is covered in a friendly and tutorial manner. Finally, a number of insightful short- and long-term applications pertaining to the electricity sector are considered. Specifically, the book includes: robust set characterization, robust optimization, adaptive robust optimization, hybrid robust-stochastic optimization, applications to short- and medium-term operations problems in the electricity sector, and applications to long-term investment problems in the electricity sector. Each chapter contains end-of-chapter problems, making it suitable for use as a text. The purpose of the book is to provide a self-contained overview of robust optimization techniques for decision making under uncertainty in the electricity sector. The targeted audience includes industrial and power engineering students and practitioners in energy fields. The young field of robust optimization is reaching maturity in many respects. It is also useful for practitioners, as it provides a number of electricity industry applications described up to working algorithms (in JuliaOpt).

Author : Panos Kouvelis,Gang Yu
Publisher : Springer Science & Business Media
Page : 373 pages
File Size : 55,5 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475726206

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Robust Discrete Optimization and Its Applications by Panos Kouvelis,Gang Yu Pdf

This book deals with decision making in environments of significant data un certainty, with particular emphasis on operations and production management applications. For such environments, we suggest the use of the robustness ap proach to decision making, which assumes inadequate knowledge of the decision maker about the random state of nature and develops a decision that hedges against the worst contingency that may arise. The main motivating factors for a decision maker to use the robustness approach are: • It does not ignore uncertainty and takes a proactive step in response to the fact that forecasted values of uncertain parameters will not occur in most environments; • It applies to decisions of unique, non-repetitive nature, which are common in many fast and dynamically changing environments; • It accounts for the risk averse nature of decision makers; and • It recognizes that even though decision environments are fraught with data uncertainties, decisions are evaluated ex post with the realized data. For all of the above reasons, robust decisions are dear to the heart of opera tional decision makers. This book takes a giant first step in presenting decision support tools and solution methods for generating robust decisions in a variety of interesting application environments. Robust Discrete Optimization is a comprehensive mathematical programming framework for robust decision making.

Author : Ayşe Özmen
Publisher : Springer
Page : 139 pages
File Size : 43,8 Mb
Release : 2016-05-11
Category : Business & Economics
ISBN : 9783319308005

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Robust Optimization of Spline Models and Complex Regulatory Networks by Ayşe Özmen Pdf

This book introduces methods of robust optimization in multivariate adaptive regression splines (MARS) and Conic MARS in order to handle uncertainty and non-linearity. The proposed techniques are implemented and explained in two-model regulatory systems that can be found in the financial sector and in the contexts of banking, environmental protection, system biology and medicine. The book provides necessary background information on multi-model regulatory networks, optimization and regression. It presents the theory of and approaches to robust (conic) multivariate adaptive regression splines - R(C)MARS – and robust (conic) generalized partial linear models – R(C)GPLM – under polyhedral uncertainty. Further, it introduces spline regression models for multi-model regulatory networks and interprets (C)MARS results based on different datasets for the implementation. It explains robust optimization in these models in terms of both the theory and methodology. In this context it studies R(C)MARS results with different uncertainty scenarios for a numerical example. Lastly, the book demonstrates the implementation of the method in a number of applications from the financial, energy, and environmental sectors, and provides an outlook on future research.

Author : Antonio Gomez-Exposito,Antonio J. Conejo,Claudio Canizares
Publisher : CRC Press
Page : 716 pages
File Size : 47,7 Mb
Release : 2018-06-14
Category : Technology & Engineering
ISBN : 9781351754491

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Electric Energy Systems by Antonio Gomez-Exposito,Antonio J. Conejo,Claudio Canizares Pdf

Electric Energy Systems, Second Edition provides an analysis of electric generation and transmission systems that addresses diverse regulatory issues. It includes fundamental background topics, such as load flow, short circuit analysis, and economic dispatch, as well as advanced topics, such as harmonic load flow, state estimation, voltage and frequency control, electromagnetic transients, etc. The new edition features updated material throughout the text and new sections throughout the chapters. It covers current issues in the industry, including renewable generation with associated control and scheduling problems, HVDC transmission, and use of synchrophasors (PMUs). The text explores more sophisticated protections and the new roles of demand, side management, etc. Written by internationally recognized specialists, the text contains a wide range of worked out examples along with numerous exercises and solutions to enhance understanding of the material. Features Integrates technical and economic analyses of electric energy systems. Covers HVDC transmission. Addresses renewable generation and the associated control and scheduling problems. Analyzes electricity markets, electromagnetic transients, and harmonic load flow. Features new sections and updated material throughout the text. Includes examples and solved problems.

Author : Subir Chowdhury,Shin Taguchi
Publisher : John Wiley & Sons
Page : 480 pages
File Size : 46,8 Mb
Release : 2016-01-20
Category : Technology & Engineering
ISBN : 9781119212089

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Robust Optimization by Subir Chowdhury,Shin Taguchi Pdf

Robust Optimization is a method to improve robustness using low-cost variations of a single, conceptual design. The benefits of Robust Optimization include faster product development cycles; faster launch cycles; fewer manufacturing problems; fewer field problems; lower-cost, higher performing products and processes; and lower warranty costs. All these benefits can be realized if engineering and product development leadership of automotive and manufacturing organizations leverage the power of using Robust Optimization as a competitive weapon. Written by world renowned authors, Robust Optimization: World’s Best Practices for Developing Winning Vehicles, is a ground breaking book whichintroduces the technical management strategy of Robust Optimization. The authors discuss what the strategy entails, 8 steps for Robust Optimization and Robust Assessment, and how to lead it in a technical organization with an implementation strategy. Robust Optimization is defined and it is demonstrated how the techniques can be applied to manufacturing organizations, especially those with automotive industry applications, so that Robust Optimization creates the flexibility that minimizes product development cost, reduces product time-to-market, and increases overall productivity. Key features: Presents best practices from around the globe on Robust Optimization that can be applied in any manufacturing and automotive organization in the world Includes 19 successfully implemented best case studies from automotive original equipment manufacturers and suppliers Provides manufacturing industries with proven techniques to become more competitive in the global market Provides clarity concerning the common misinterpretations on Robust Optimization Robust Optimization: World’s Best Practices for Developing Winning Vehicles is a must-have book for engineers and managers who are working on design, product, manufacturing, mechanical, electrical, process, quality area; all levels of management especially in product development area, research and development personnel and consultants. It also serves as an excellent reference for students and teachers in engineering.

Author : Ruidi Chen,Ioannis Ch. Paschalidis
Publisher : Unknown
Page : 258 pages
File Size : 47,5 Mb
Release : 2020-12-23
Category : Mathematics
ISBN : 1680837729

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Distributionally Robust Learning by Ruidi Chen,Ioannis Ch. Paschalidis Pdf

Author : Omid Nejadseyfi
Publisher : Gildeprint
Page : 45 pages
File Size : 45,9 Mb
Release : 2019-08-01
Category : Technology & Engineering
ISBN : 9789036548304

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Robust Optimization and Tailoring of Scatter in Metal Forming Processes by Omid Nejadseyfi Pdf

Author : Shaul Salomon
Publisher : Springer
Page : 194 pages
File Size : 42,7 Mb
Release : 2019-07-06
Category : Technology & Engineering
ISBN : 9783030150501

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Active Robust Optimization: Optimizing for Robustness of Changeable Products by Shaul Salomon Pdf

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.

Author : Rui Xie
Publisher : Springer Nature
Page : 461 pages
File Size : 43,9 Mb
Release : 2024-06-15
Category : Electronic
ISBN : 9789819725663

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Distributionally Robust Optimization and its Applications in Power System Energy Storage Sizing by Rui Xie Pdf

Author : Natalia Selini Hadjidimitriou,Antonio Frangioni,Thorsten Koch,Andrea Lodi
Publisher : Springer Nature
Page : 131 pages
File Size : 53,5 Mb
Release : 2021-03-19
Category : Technology & Engineering
ISBN : 9783030574420

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Mathematical Optimization for Efficient and Robust Energy Networks by Natalia Selini Hadjidimitriou,Antonio Frangioni,Thorsten Koch,Andrea Lodi Pdf

This book presents a collection of energy production and distribution problems identified by the members of the COST Action TD1207 "Mathematical Optimization in the Decision Support Systems for Efficient and Robust Energy Networks". The aim of the COST Action was to coordinate the efforts of the experts in different fields, from academia and industry, in developing innovative tools for quantitative decision making, and apply them to the efficient and robust design and management of energy networks. The work covers three main goals:• to be a nimble while comprehensive resource of several real life business problems with a categorized set of pointers to many relevant prescriptive problems for energy systems;• to offer a balanced mix of scientific and industrial views;• to evolve over time in a flexible and dynamic way giving, from time to time, a more scientific or industrial - or even political in a broad sense - weighed perspective.It is addressed to researchers and professionals working in the field.

Author : Petros Xanthopoulos,Panos M. Pardalos,Theodore B. Trafalis
Publisher : Springer Science & Business Media
Page : 59 pages
File Size : 42,9 Mb
Release : 2012-11-28
Category : Mathematics
ISBN : 9781441998781

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Robust Data Mining by Petros Xanthopoulos,Panos M. Pardalos,Theodore B. Trafalis Pdf

Data uncertainty is a concept closely related with most real life applications that involve data collection and interpretation. Examples can be found in data acquired with biomedical instruments or other experimental techniques. Integration of robust optimization in the existing data mining techniques aim to create new algorithms resilient to error and noise. This work encapsulates all the latest applications of robust optimization in data mining. This brief contains an overview of the rapidly growing field of robust data mining research field and presents the most well known machine learning algorithms, their robust counterpart formulations and algorithms for attacking these problems. This brief will appeal to theoreticians and data miners working in this field.

Author : Michael Doumpos,Constantin Zopounidis,Evangelos Grigoroudis
Publisher : Springer
Page : 321 pages
File Size : 53,9 Mb
Release : 2016-07-12
Category : Business & Economics
ISBN : 9783319331218

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Robustness Analysis in Decision Aiding, Optimization, and Analytics by Michael Doumpos,Constantin Zopounidis,Evangelos Grigoroudis Pdf

This book provides a broad coverage of the recent advances in robustness analysis in decision aiding, optimization, and analytics. It offers a comprehensive illustration of the challenges that robustness raises in different operations research and management science (OR/MS) contexts and the methodologies proposed from multiple perspectives. Aside from covering recent methodological developments, this volume also features applications of robust techniques in engineering and management, thus illustrating the robustness issues raised in real-world problems and their resolution within advances in OR/MS methodologies. Robustness analysis seeks to address issues by promoting solutions, which are acceptable under a wide set of hypotheses, assumptions and estimates. In OR/MS, robustness has been mostly viewed in the context of optimization under uncertainty. Several scholars, however, have emphasized the multiple facets of robustness analysis in a broader OR/MS perspective that goes beyond the traditional framework, seeking to cover the decision support nature of OR/MS methodologies as well. As new challenges emerge in a “big-data'” era, where the information volume, speed of flow, and complexity increase rapidly, and analytics play a fundamental role for strategic and operational decision-making at a global level, robustness issues such as the ones covered in this book become more relevant than ever for providing sound decision support through more powerful analytic tools.

Author : Javier Del Ser Lorente,Eneko Osaba
Publisher : BoD – Books on Demand
Page : 71 pages
File Size : 43,7 Mb
Release : 2018-07-18
Category : Mathematics
ISBN : 9781789233285

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Nature-inspired Methods for Stochastic, Robust and Dynamic Optimization by Javier Del Ser Lorente,Eneko Osaba Pdf

Nature-inspired algorithms have a great popularity in the current scientific community, being the focused scope of many research contributions in the literature year by year. The rationale behind the acquired momentum by this broad family of methods lies on their outstanding performance evinced in hundreds of research fields and problem instances. This book gravitates on the development of nature-inspired methods and their application to stochastic, dynamic and robust optimization. Topics covered by this book include the design and development of evolutionary algorithms, bio-inspired metaheuristics, or memetic methods, with empirical, innovative findings when used in different subfields of mathematical optimization, such as stochastic, dynamic, multimodal and robust optimization, as well as noisy optimization and dynamic and constraint satisfaction problems.

Author : Dessislava A. Pachamanova,Frank J. Fabozzi
Publisher : John Wiley & Sons
Page : 786 pages
File Size : 51,9 Mb
Release : 2010-09-23
Category : Business & Economics
ISBN : 9780470882122

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Simulation and Optimization in Finance by Dessislava A. Pachamanova,Frank J. Fabozzi Pdf

An introduction to the theory and practice of financial simulation and optimization In recent years, there has been a notable increase in the use of simulation and optimization methods in the financial industry. Applications include portfolio allocation, risk management, pricing, and capital budgeting under uncertainty. This accessible guide provides an introduction to the simulation and optimization techniques most widely used in finance, while at the same time offering background on the financial concepts in these applications. In addition, it clarifies difficult concepts in traditional models of uncertainty in finance, and teaches you how to build models with software. It does this by reviewing current simulation and optimization methodology-along with available software-and proceeds with portfolio risk management, modeling of random processes, pricing of financial derivatives, and real options applications. Contains a unique combination of finance theory and rigorous mathematical modeling emphasizing a hands-on approach through implementation with software Highlights not only classical applications, but also more recent developments, such as pricing of mortgage-backed securities Includes models and code in both spreadsheet-based software (@RISK, Solver, Evolver, VBA) and mathematical modeling software (MATLAB) Filled with in-depth insights and practical advice, Simulation and Optimization Modeling in Finance offers essential guidance on some of the most important topics in financial management.