Optimal Design

Optimal Design Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Optimal Design book. This book definitely worth reading, it is an incredibly well-written.

Optimal Design

S. Silvey
Optimal Design Book PDF

Author : S. Silvey
Publisher : Springer Science & Business Media
Page : 94 pages
File Size : 54,6 Mb
Release : 2013-03-09
Category : Science
ISBN : 9789400959125

Get Book

Optimal Design by S. Silvey Pdf

Prior to the 1970's a substantial literature had accumulated on the theory of optimal design, particularly of optimal linear regression design. To a certain extent the study of the subject had been piecemeal, different criteria of optimality having been studied separately. Also to a certain extent the topic was regarded as being largely of theoretical interest and as having little value for the practising statistician. However during this decade two significant developments occurred. It was observed that the various different optimality criteria had several mathematical properties in common; and general algorithms for constructing optimal design measures were developed. From the first of these there emerged a general theory of remarkable simplicity and the second at least raised the possibility that the theory would have more practical value. With respect to the second point there does remain a limiting factor as far as designs that are optimal for parameter estimation are concerned, and this is that the theory assumes that the model be collected is known a priori. This of course underlying data to is seldom the case in practice and it often happens that designs which are optimal for parameter estimation allow no possibility of model validation. For this reason the theory of design for parameter estimation may well have to be combined with a theory of model validation before its practical potential is fully realized. Nevertheless discussion in this monograph is limited to the theory of design optimal for parameter estimation.

Optimal Design of Experiments

Friedrich Pukelsheim
Optimal Design of Experiments Book PDF

Author : Friedrich Pukelsheim
Publisher : SIAM
Page : 527 pages
File Size : 45,6 Mb
Release : 2006-04-01
Category : Mathematics
ISBN : 9780898716047

Get Book

Optimal Design of Experiments by Friedrich Pukelsheim Pdf

Optimal Design of Experiments offers a rare blend of linear algebra, convex analysis, and statistics. The optimal design for statistical experiments is first formulated as a concave matrix optimization problem. Using tools from convex analysis, the problem is solved generally for a wide class of optimality criteria such as D-, A-, or E-optimality. The book then offers a complementary approach that calls for the study of the symmetry properties of the design problem, exploiting such notions as matrix majorization and the Kiefer matrix ordering. The results are illustrated with optimal designs for polynomial fit models, Bayes designs, balanced incomplete block designs, exchangeable designs on the cube, rotatable designs on the sphere, and many other examples.

Theory of Optimal Designs

Kirti R. Shah,BIKAS Sinha
Theory of Optimal Designs Book PDF

Author : Kirti R. Shah,BIKAS Sinha
Publisher : Springer Science & Business Media
Page : 179 pages
File Size : 45,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461236627

Get Book

Theory of Optimal Designs by Kirti R. Shah,BIKAS Sinha Pdf

There has been an enormous growth in recent years in the literature on discrete optimal designs. The optimality problems have been formulated in various models arising in the experimental designs and substantial progress has been made towards solving some of these. The subject has now reached a stage of completeness which calls for a self-contained monograph on this topic. The aim of this monograph is to present the state of the art and to focus on more recent advances in this rapidly developing area. We start with a discussion of statistical optimality criteria in Chapter One. Chapters Two and Three deal with optimal block designs. Row-column designs are dealt with in Chapter Four. In Chapter Five we deal with optimal designs with mixed effects models. Repeated measurement designs are considered in Chapter Six. Chapter Seven deals with some special situations and Weighing designs are dis cussed in Chapter Eight. We have endeavoured to include all the major developments that have taken place in the last three decades. The book should be of use to research workers in several areas including combinatorics as well as to the experimenters in diverse fields of applications. Since the details of the construction of the designs are available in excellent books, we have only pointed out the designs which have optimality proper ties. We believe, this will be adequate for the experimenters.

Principles of Optimal Design

Panos Y. Papalambros,Douglass J. Wilde
Principles of Optimal Design Book PDF

Author : Panos Y. Papalambros,Douglass J. Wilde
Publisher : Cambridge University Press
Page : 416 pages
File Size : 43,9 Mb
Release : 2000-07-10
Category : Mathematics
ISBN : 0521627273

Get Book

Principles of Optimal Design by Panos Y. Papalambros,Douglass J. Wilde Pdf

Principles of Optimal Design puts the concept of optimal design on a rigorous foundation and demonstrates the intimate relationship between the mathematical model that describes a design and the solution methods that optimize it. Since the first edition was published, computers have become ever more powerful, design engineers are tackling more complex systems, and the term optimization is now routinely used to denote a design process with increased speed and quality. This second edition takes account of these developments and brings the original text thoroughly up to date. The book now includes a discussion of trust region and convex approximation algorithms. A new chapter focuses on how to construct optimal design models. Three new case studies illustrate the creation of optimization models. The final chapter on optimization practice has been expanded to include computation of derivatives, interpretation of algorithmic results, and selection of algorithms and software. Both students and practising engineers will find this book a valuable resource for design project work.

Optimal Design of Experiments

Peter Goos,Bradley Jones
Optimal Design of Experiments Book PDF

Author : Peter Goos,Bradley Jones
Publisher : Wiley
Page : 304 pages
File Size : 43,5 Mb
Release : 2011-08-15
Category : Science
ISBN : 0470744618

Get Book

Optimal Design of Experiments by Peter Goos,Bradley Jones Pdf

"This is an engaging and informative book on the modern practice of experimental design. The authors' writing style is entertaining, the consulting dialogs are extremely enjoyable, and the technical material is presented brilliantly but not overwhelmingly. The book is a joy to read. Everyone who practices or teaches DOE should read this book." - Douglas C. Montgomery, Regents Professor, Department of Industrial Engineering, Arizona State University "It's been said: 'Design for the experiment, don't experiment for the design.' This book ably demonstrates this notion by showing how tailor-made, optimal designs can be effectively employed to meet a client's actual needs. It should be required reading for anyone interested in using the design of experiments in industrial settings." —Christopher J. Nachtsheim, Frank A Donaldson Chair in Operations Management, Carlson School of Management, University of Minnesota This book demonstrates the utility of the computer-aided optimal design approach using real industrial examples. These examples address questions such as the following: How can I do screening inexpensively if I have dozens of factors to investigate? What can I do if I have day-to-day variability and I can only perform 3 runs a day? How can I do RSM cost effectively if I have categorical factors? How can I design and analyze experiments when there is a factor that can only be changed a few times over the study? How can I include both ingredients in a mixture and processing factors in the same study? How can I design an experiment if there are many factor combinations that are impossible to run? How can I make sure that a time trend due to warming up of equipment does not affect the conclusions from a study? How can I take into account batch information in when designing experiments involving multiple batches? How can I add runs to a botched experiment to resolve ambiguities? While answering these questions the book also shows how to evaluate and compare designs. This allows researchers to make sensible trade-offs between the cost of experimentation and the amount of information they obtain.

Introduction to Optimum Design

Jasbir Singh Arora
Introduction to Optimum Design Book PDF

Author : Jasbir Singh Arora
Publisher : Academic Press
Page : 897 pages
File Size : 53,5 Mb
Release : 2011-08-12
Category : Technology & Engineering
ISBN : 9780123813763

Get Book

Introduction to Optimum Design by Jasbir Singh Arora Pdf

Introduction to Optimum Design, Third Edition describes an organized approach to engineering design optimization in a rigorous yet simplified manner. It illustrates various concepts and procedures with simple examples and demonstrates their applicability to engineering design problems. Formulation of a design problem as an optimization problem is emphasized and illustrated throughout the text. Excel and MATLAB® are featured as learning and teaching aids. Basic concepts of optimality conditions and numerical methods are described with simple and practical examples, making the material highly teachable and learnable Includes applications of optimization methods for structural, mechanical, aerospace, and industrial engineering problems Introduction to MATLAB Optimization Toolbox Practical design examples introduce students to the use of optimization methods early in the book New example problems throughout the text are enhanced with detailed illustrations Optimum design with Excel Solver has been expanded into a full chapter New chapter on several advanced optimum design topics serves the needs of instructors who teach more advanced courses

Topics in Optimal Design

Erkki Liski
Topics in Optimal Design Book PDF

Author : Erkki Liski
Publisher : Springer Science & Business Media
Page : 190 pages
File Size : 41,5 Mb
Release : 2002-02-08
Category : Mathematics
ISBN : 0387953485

Get Book

Topics in Optimal Design by Erkki Liski Pdf

This book covers a wide range of topics in both discrete and continuous optimal designs. The topics discussed include designs for regression models, covariates models, models with trend effects, and models with competition effects. The prerequisites are a basic course in the design and analysis of experiments and some familiarity with the concepts of optimality criteria.

The Optimal Design of Chemical Reactors

Rutherford Aris
The Optimal Design of Chemical Reactors Book PDF

Author : Rutherford Aris
Publisher : Elsevier
Page : 204 pages
File Size : 54,5 Mb
Release : 2016-06-03
Category : Technology & Engineering
ISBN : 9781483221434

Get Book

The Optimal Design of Chemical Reactors by Rutherford Aris Pdf

Mathematics in Science and Engineering, Volume 3: The Optimal Design of Chemical Reactors: A Study in Dynamic Programming covers some of the significant problems of chemical reactor engineering from a unified point of view. This book discusses the principle of optimality in its general baring on chemical processes. Organized into nine chapters, this volume begins with an overview of the whole range of optimal problems in chemical reactor design. This text then provides the fundamental equations for reactions and reactors. Other chapters consider the objective function needed to define a realistic optimal problem and explain separately the main types of chemical reactors and their associated problems. This book discusses as well the three problems with a stochastic element. The final chapter deals with the optimal operation of existing reactors that may be regarded as partial designs in which only some of the variables can be optimally chosen. This book is a valuable resource for chemical engineers.

Optimal Design

Valer Vasiliev
Optimal Design Book PDF

Author : Valer Vasiliev
Publisher : CRC Press
Page : 626 pages
File Size : 41,8 Mb
Release : 1999-03-22
Category : Technology & Engineering
ISBN : 1566766869

Get Book

Optimal Design by Valer Vasiliev Pdf

Optimal Structural Design can be referred to as one of the most important and promising branches of applied mathematics and mechanics. This book reflects the culmination of Russian activity in the field of optimal structural design.

Introduction to Optimum Design

Jasbir Singh Arora
Introduction to Optimum Design Book PDF

Author : Jasbir Singh Arora
Publisher : Elsevier
Page : 751 pages
File Size : 48,5 Mb
Release : 2004-06-02
Category : Technology & Engineering
ISBN : 9780080470252

Get Book

Introduction to Optimum Design by Jasbir Singh Arora Pdf

Optimization is a mathematical tool developed in the early 1960's used to find the most efficient and feasible solutions to an engineering problem. It can be used to find ideal shapes and physical configurations, ideal structural designs, maximum energy efficiency, and many other desired goals of engineering. This book is intended for use in a first course on engineering design and optimization. Material for the text has evolved over a period of several years and is based on classroom presentations for an undergraduate core course on the principles of design. Virtually any problem for which certain parameters need to be determined to satisfy constraints can be formulated as a design optimization problem. The concepts and methods described in the text are quite general and applicable to all such formulations. Inasmuch, the range of application of the optimum design methodology is almost limitless, constrained only by the imagination and ingenuity of the user. The book describes the basic concepts and techniques with only a few simple applications. Once they are clearly understood, they can be applied to many other advanced applications that are discussed in the text. Allows engineers involved in the design process to adapt optimum design concepts in their work using the material in the text Basic concepts of optimality conditions and numerical methods are described with simple examples, making the material high teachable and learnable Classroom-tested for many years to attain optimum pedagogical effectiveness

Optimal Design of Complex Mechanical Systems

Giampiero Mastinu,Massimiliano Gobbi,Carlo Miano
Optimal Design of Complex Mechanical Systems Book PDF

Author : Giampiero Mastinu,Massimiliano Gobbi,Carlo Miano
Publisher : Springer Science & Business Media
Page : 359 pages
File Size : 54,8 Mb
Release : 2007-07-20
Category : Technology & Engineering
ISBN : 9783540343554

Get Book

Optimal Design of Complex Mechanical Systems by Giampiero Mastinu,Massimiliano Gobbi,Carlo Miano Pdf

This book presents foundations and practical application of multi-objective optimization methods to Vehicle Design Problems, bolstered with an extensive collection of examples. Opening with a broad theoretical introduction to the optimization of complex mechanical systems and multi-objective optimization methods, the book presents several applications which are extensively exposed here for the first time. The book includes examples of proposed methods to the solution of real vehicle design problems.

Computer Aided Optimal Design: Structural and Mechanical Systems

Carlos A. Mota Soares
Computer Aided Optimal Design Structural and Mechanical Systems Book PDF

Author : Carlos A. Mota Soares
Publisher : Springer Science & Business Media
Page : 1018 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642830518

Get Book

Computer Aided Optimal Design: Structural and Mechanical Systems by Carlos A. Mota Soares Pdf

This book contains the edited version of lectures and selected papers presented at the NATO ADVANCED STUDY INSTITUTE ON COMPUTER AIDED OPTIMAL DESIGN: Structural and Mechanical Systems, held in Tr6ia, Portugal, 29th June to 11th July 1986, and organized by CEMUL -Center of Mechanics and Materials of the Technical University of Lisbon. The Institute was attended by 120 participants from 21 countries, including leading scientists and engineers from universities, research institutions and industry, and Ph.D. students. Some participants presented invited and contributed papers during the Institute and almost all participated actively in discussions on scientific aspects during the Institute. The Advanced Study Institute provided a forum for interaction among eminent scientists and engineers from different schools of thought and young reseachers. The Institute addressed the foundations and current state of the art of essential techniques related to computer aided optimal design of structural and mechanical systems, namely: Vari ational and Finite Element Methods in Optimal Design, Numerical Optimization Techniques, Design Sensitivity Analysis, Shape Optimal Design, Adaptive Finite Element Methods in Shape Optimization, CAD Technology, Software Development Techniques, Integrated Computer Aided Design and Knowledge Based Systems. Special topics of growing importance were also pre sented.

Optimal Design with Advanced Materials

P. Pedersen
Optimal Design with Advanced Materials Book PDF

Author : P. Pedersen
Publisher : Elsevier
Page : 528 pages
File Size : 47,8 Mb
Release : 2012-12-02
Category : Technology & Engineering
ISBN : 9780444600301

Get Book

Optimal Design with Advanced Materials by P. Pedersen Pdf

Optimal design with advanced materials is becoming a very progressive and challenging domain within applied mechanics. The increasing use of advanced materials, such as anisotropic fiber composites and ceramics, is instigating new developments to be made within constitutive modelling and the computational methods of analysis, sensitivity analysis and optimization. A new dimension of optimal design is being realised by the direct tailoring and building of new materials. Research in this area is accelerating rapidly with the results already being applied to high technology industries. Two vital high technology research areas covered in this volume include homogenization and smart materials/structures. The 31 papers will prove an indispensable reference source for all those involved in the interdisciplinary research and development aspects of mechanics, materials and mathematics in the design of advanced materials.

Optimal Design through the Sub-Relaxation Method

Pablo Pedregal
Optimal Design through the Sub Relaxation Method Book PDF

Author : Pablo Pedregal
Publisher : Springer
Page : 130 pages
File Size : 47,8 Mb
Release : 2016-09-01
Category : Mathematics
ISBN : 9783319411590

Get Book

Optimal Design through the Sub-Relaxation Method by Pablo Pedregal Pdf

This book provides a comprehensive guide to analyzing and solving optimal design problems in continuous media by means of the so-called sub-relaxation method. Though the underlying ideas are borrowed from other, more classical approaches, here they are used and organized in a novel way, yielding a distinct perspective on how to approach this kind of optimization problems. Starting with a discussion of the background motivation, the book broadly explains the sub-relaxation method in general terms, helping readers to grasp, from the very beginning, the driving idea and where the text is heading. In addition to the analytical content of the method, it examines practical issues like optimality and numerical approximation. Though the primary focus is on the development of the method for the conductivity context, the book’s final two chapters explore several extensions of the method to other problems, as well as formal proofs. The text can be used for a graduate course in optimal design, even if the method would require some familiarity with the main analytical issues associated with this type of problems. This can be addressed with the help of the provided bibliography.

Optimal Design for Nonlinear Response Models

Valerii V. Fedorov,Sergei L. Leonov
Optimal Design for Nonlinear Response Models Book PDF

Author : Valerii V. Fedorov,Sergei L. Leonov
Publisher : CRC Press
Page : 404 pages
File Size : 40,9 Mb
Release : 2013-07-15
Category : Mathematics
ISBN : 9781439821510

Get Book

Optimal Design for Nonlinear Response Models by Valerii V. Fedorov,Sergei L. Leonov Pdf

Optimal Design for Nonlinear Response Models discusses the theory and applications of model-based experimental design with a strong emphasis on biopharmaceutical studies. The book draws on the authors’ many years of experience in academia and the pharmaceutical industry. While the focus is on nonlinear models, the book begins with an explanation of the key ideas, using linear models as examples. Applying the linearization in the parameter space, it then covers nonlinear models and locally optimal designs as well as minimax, optimal on average, and Bayesian designs. The authors also discuss adaptive designs, focusing on procedures with non-informative stopping. The common goals of experimental design—such as reducing costs, supporting efficient decision making, and gaining maximum information under various constraints—are often the same across diverse applied areas. Ethical and regulatory aspects play a much more prominent role in biological, medical, and pharmaceutical research. The authors address all of these issues through many examples in the book.