Optimal Mixture Experiments

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Optimal Mixture Experiments

Author : B.K. Sinha
Publisher : Springer
ISBN 13 : 8132217861
Total Pages : 213 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Optimal Mixture Experiments by : B.K. Sinha

Download or read book Optimal Mixture Experiments written by B.K. Sinha and published by Springer. This book was released on 2014-05-24 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book dwells mainly on the optimality aspects of mixture designs. As mixture models are a special case of regression models, a general discussion on regression designs has been presented, which includes topics like continuous designs, de la Garza phenomenon, Loewner order domination, Equivalence theorems for different optimality criteria and standard optimality results for single variable polynomial regression and multivariate linear and quadratic regression models. This is followed by a review of the available literature on estimation of parameters in mixture models. Based on recent research findings, the volume also introduces optimal mixture designs for estimation of optimum mixing proportions in different mixture models, which include Scheffé’s quadratic model, Darroch-Waller model, log- contrast model, mixture-amount models, random coefficient models and multi-response model. Robust mixture designs and mixture designs in blocks have been also reviewed. Moreover, some applications of mixture designs in areas like agriculture, pharmaceutics and food and beverages have been presented. Familiarity with the basic concepts of design and analysis of experiments, along with the concept of optimality criteria are desirable prerequisites for a clear understanding of the book. It is likely to be helpful to both theoreticians and practitioners working in the area of mixture experiments.

Optimal Design of Experiments

Author : Peter Goos
Publisher : John Wiley & Sons
ISBN 13 : 1119976162
Total Pages : 249 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Optimal Design of Experiments by : Peter Goos

Download or read book Optimal Design of Experiments written by Peter Goos and published by John Wiley & Sons. This book was released on 2011-06-28 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Optimal Design of Experiments

Author : Friedrich Pukelsheim
Publisher : SIAM
ISBN 13 : 0898716047
Total Pages : 527 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Optimal Design of Experiments by : Friedrich Pukelsheim

Download or read book Optimal Design of Experiments written by Friedrich Pukelsheim and published by SIAM. This book was released on 2006-04-01 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Experiments with Mixtures

Author : John A. Cornell
Publisher : John Wiley & Sons
ISBN 13 : 111815049X
Total Pages : 682 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis Experiments with Mixtures by : John A. Cornell

Download or read book Experiments with Mixtures written by John A. Cornell and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most comprehensive, single-volume guide to conductingexperiments with mixtures "If one is involved, or heavily interested, in experiments onmixtures of ingredients, one must obtain this book. It is, as wasthe first edition, the definitive work." -Short Book Reviews (Publication of the International StatisticalInstitute) "The text contains many examples with worked solutions and with itsextensive coverage of the subject matter will prove invaluable tothose in the industrial and educational sectors whose work involvesthe design and analysis of mixture experiments." -Journal of the Royal Statistical Society "The author has done a great job in presenting the vitalinformation on experiments with mixtures in a lucid and readablestyle. . . . A very informative, interesting, and useful book on animportant statistical topic." -Zentralblatt fur Mathematik und Ihre Grenzgebiete Experiments with Mixtures shows researchers and students how todesign and set up mixture experiments, then analyze the data anddraw inferences from the results. Virtually every technique thathas appeared in the literature of mixtures can be found here, andcomputing formulas for each method are provided with completelyworked examples. Almost all of the numerical examples are takenfrom real experiments. Coverage begins with Scheffe latticedesigns, introducing the use of independent variables, and endswith the most current methods. New material includes: * Multiple response cases * Residuals and least-squares estimates * Categories of components: Mixtures of mixtures * Fixed as well as variable values for the major componentproportions * Leverage and the Hat Matrix * Fitting a slack-variable model * Estimating components of variances in a mixed model using ANOVAtable entries * Clarification of blocking mates and choice of mates * Optimizing several responses simultaneously * Biplots for multiple responses

Mathematical and Statistical Applications in Food Engineering

Author : Surajbhan Sevda
Publisher : CRC Press
ISBN 13 : 0429792522
Total Pages : 464 pages
Book Rating : 4.4/5 (297 download)

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Book Synopsis Mathematical and Statistical Applications in Food Engineering by : Surajbhan Sevda

Download or read book Mathematical and Statistical Applications in Food Engineering written by Surajbhan Sevda and published by CRC Press. This book was released on 2020-01-30 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by experts from all over the world, the book comprises the latest applications of mathematical and models in food engineering and fermentation. It provides the fundamentals on statistical methods to solve standard problems associated with food engineering and fermentation technology. Combining theory with a practical, hands-on approach, this book covers key aspects of food engineering. Presenting cuttingedge information, the book is an essential reference on the fundamental concepts associated with food engineering.

Response Surface Methodology

Author : Raymond H. Myers
Publisher : John Wiley & Sons
ISBN 13 : 1118916034
Total Pages : 854 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Response Surface Methodology by : Raymond H. Myers

Download or read book Response Surface Methodology written by Raymond H. Myers and published by John Wiley & Sons. This book was released on 2016-01-04 with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Third Edition: “This new third edition has been substantially rewritten and updated with new topics and material, new examples and exercises, and to more fully illustrate modern applications of RSM.” - Zentralblatt Math Featuring a substantial revision, the Fourth Edition of Response Surface Methodology: Process and Product Optimization Using Designed Experiments presents updated coverage on the underlying theory and applications of response surface methodology (RSM). Providing the assumptions and conditions necessary to successfully apply RSM in modern applications, the new edition covers classical and modern response surface designs in order to present a clear connection between the designs and analyses in RSM. With multiple revised sections with new topics and expanded coverage, Response Surface Methodology: Process and Product Optimization Using Designed Experiments, Fourth Edition includes: Many updates on topics such as optimal designs, optimization techniques, robust parameter design, methods for design evaluation, computer-generated designs, multiple response optimization, and non-normal responses Additional coverage on topics such as experiments with computer models, definitive screening designs, and data measured with error Expanded integration of examples and experiments, which present up-to-date software applications, such as JMP®, SAS, and Design-Expert®, throughout An extensive references section to help readers stay up-to-date with leading research in the field of RSM An ideal textbook for upper-undergraduate and graduate-level courses in statistics, engineering, and chemical/physical sciences, Response Surface Methodology: Process and Product Optimization Using Designed Experiments, Fourth Edition is also a useful reference for applied statisticians and engineers in disciplines such as quality, process, and chemistry.

Response Surfaces, Mixtures, and Ridge Analyses

Author : George E. P. Box
Publisher : John Wiley & Sons
ISBN 13 : 047007275X
Total Pages : 880 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Response Surfaces, Mixtures, and Ridge Analyses by : George E. P. Box

Download or read book Response Surfaces, Mixtures, and Ridge Analyses written by George E. P. Box and published by John Wiley & Sons. This book was released on 2007-01-22 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authority on building empirical models and the fitting of such surfaces to data—completely updated and revised Revising and updating a volume that represents the essential source on building empirical models, George Box and Norman Draper—renowned authorities in this field—continue to set the standard with the Second Edition of Response Surfaces, Mixtures, and Ridge Analyses, providing timely new techniques, new exercises, and expanded material. A comprehensive introduction to building empirical models, this book presents the general philosophy and computational details of a number of important topics, including factorial designs at two levels; fitting first and second-order models; adequacy of estimation and the use of transformation; and occurrence and elucidation of ridge systems. Substantially rewritten, the Second Edition reflects the emergence of ridge analysis of second-order response surfaces as a very practical tool that can be easily applied in a variety of circumstances. This unique, fully developed coverage of ridge analysis—a technique for exploring quadratic response surfaces including surfaces in the space of mixture ingredients and/or subject to linear restrictions—includes MINITAB® routines for performing the calculations for any number of dimensions. Many additional figures are included in the new edition, and new exercises (many based on data from published papers) offer insight into the methods used. The exercises and their solutions provide a variety of supplementary examples of response surface use, forming an extremely important component of the text. Response Surfaces, Mixtures, and Ridge Analyses, Second Edition presents material in a logical and understandable arrangement and includes six new chapters covering an up-to-date presentation of standard ridge analysis (without restrictions); design and analysis of mixtures experiments; ridge analysis methods when there are linear restrictions in the experimental space including the mixtures experiments case, with or without further linear restrictions; and canonical reduction of second-order response surfaces in the foregoing general case. Additional features in the new edition include: New exercises with worked answers added throughout An extensive revision of Chapter 5: Blocking and Fractionating 2k Designs Additional discussion on the projection of two-level designs into lower dimensional spaces This is an ideal reference for researchers as well as a primary text for Response Surface Methodology graduate-level courses and a supplementary text for Design of Experiments courses at the upper-undergraduate and beginning-graduate levels.

Theory Of Optimal Experiments

Author : V.V. Fedorov
Publisher : Elsevier
ISBN 13 : 0323162460
Total Pages : 307 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Theory Of Optimal Experiments by : V.V. Fedorov

Download or read book Theory Of Optimal Experiments written by V.V. Fedorov and published by Elsevier. This book was released on 2013-04-20 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory Of Optimal Experiments

Quality by Experimental Design

Author : Thomas B. Barker
Publisher : CRC Press
ISBN 13 : 1482249677
Total Pages : 740 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Quality by Experimental Design by : Thomas B. Barker

Download or read book Quality by Experimental Design written by Thomas B. Barker and published by CRC Press. This book was released on 2016-01-27 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: Achieve Technological Advancements in Applied Science and Engineering Using Efficient Experiments That Consume the Least Amount of ResourcesWritten by longtime experimental design guru Thomas B. Barker and experimental development/Six Sigma expert Andrew Milivojevich, Quality by Experimental Design, Fourth Edition shows how to design and analyze ex

Design of Experiments in Chemical Engineering

Author : Zivorad R. Lazic
Publisher : John Wiley & Sons
ISBN 13 : 3527604596
Total Pages : 620 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Design of Experiments in Chemical Engineering by : Zivorad R. Lazic

Download or read book Design of Experiments in Chemical Engineering written by Zivorad R. Lazic and published by John Wiley & Sons. This book was released on 2006-03-06 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: While existing books related to DOE are focused either on process or mixture factors or analyze specific tools from DOE science, this text is structured both horizontally and vertically, covering the three most common objectives of any experimental research: * screening designs * mathematical modeling, and * optimization. Written in a simple and lively manner and backed by current chemical product studies from all around the world, the book elucidates basic concepts of statistical methods, experiment design and optimization techniques as applied to chemistry and chemical engineering. Throughout, the focus is on unifying the theory and methodology of optimization with well-known statistical and experimental methods. The author draws on his own experience in research and development, resulting in a work that will assist students, scientists and engineers in using the concepts covered here in seeking optimum conditions for a chemical system or process. With 441 tables, 250 diagrams, as well as 200 examples drawn from current chemical product studies, this is an invaluable and convenient source of information for all those involved in process optimization.

Best Practices in Quantitative Methods

Author : Jason W. Osborne
Publisher : SAGE
ISBN 13 : 1412940656
Total Pages : 609 pages
Book Rating : 4.4/5 (129 download)

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Book Synopsis Best Practices in Quantitative Methods by : Jason W. Osborne

Download or read book Best Practices in Quantitative Methods written by Jason W. Osborne and published by SAGE. This book was released on 2008 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributors to Best Practices in Quantitative Methods envision quantitative methods in the 21st century, identify the best practices, and, where possible, demonstrate the superiority of their recommendations empirically. Editor Jason W. Osborne designed this book with the goal of providing readers with the most effective, evidence-based, modern quantitative methods and quantitative data analysis across the social and behavioral sciences. The text is divided into five main sections covering select best practices in Measurement, Research Design, Basics of Data Analysis, Quantitative Methods, and Advanced Quantitative Methods. Each chapter contains a current and expansive review of the literature, a case for best practices in terms of method, outcomes, inferences, etc., and broad-ranging examples along with any empirical evidence to show why certain techniques are better. Key Features: Describes important implicit knowledge to readers: The chapters in this volume explain the important details of seemingly mundane aspects of quantitative research, making them accessible to readers and demonstrating why it is important to pay attention to these details. Compares and contrasts analytic techniques: The book examines instances where there are multiple options for doing things, and make recommendations as to what is the "best" choice—or choices, as what is best often depends on the circumstances. Offers new procedures to update and explicate traditional techniques: The featured scholars present and explain new options for data analysis, discussing the advantages and disadvantages of the new procedures in depth, describing how to perform them, and demonstrating their use. Intended Audience: Representing the vanguard of research methods for the 21st century, this book is an invaluable resource for graduate students and researchers who want a comprehensive, authoritative resource for practical and sound advice from leading experts in quantitative methods.

Optimization of Complex Systems: Theory, Models, Algorithms and Applications

Author : Hoai An Le Thi
Publisher : Springer
ISBN 13 : 3030218031
Total Pages : 1164 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Optimization of Complex Systems: Theory, Models, Algorithms and Applications by : Hoai An Le Thi

Download or read book Optimization of Complex Systems: Theory, Models, Algorithms and Applications written by Hoai An Le Thi and published by Springer. This book was released on 2019-06-15 with total page 1164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 112 papers selected from about 250 submissions to the 6th World Congress on Global Optimization (WCGO 2019) which takes place on July 8–10, 2019 at University of Lorraine, Metz, France. The book covers both theoretical and algorithmic aspects of Nonconvex Optimization, as well as its applications to modeling and solving decision problems in various domains. It is composed of 10 parts, each of them deals with either the theory and/or methods in a branch of optimization such as Continuous optimization, DC Programming and DCA, Discrete optimization & Network optimization, Multiobjective programming, Optimization under uncertainty, or models and optimization methods in a specific application area including Data science, Economics & Finance, Energy & Water management, Engineering systems, Transportation, Logistics, Resource allocation & Production management. The researchers and practitioners working in Nonconvex Optimization and several application areas can find here many inspiring ideas and useful tools & techniques for their works.

Experimental Design for Formulation

Author : Wendell F. Smith
Publisher : SIAM
ISBN 13 : 9780898718393
Total Pages : 386 pages
Book Rating : 4.7/5 (183 download)

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Book Synopsis Experimental Design for Formulation by : Wendell F. Smith

Download or read book Experimental Design for Formulation written by Wendell F. Smith and published by SIAM. This book was released on 2005-01-01 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many products, such as foods, personal-care products, beverages, and cleaning agents, are made by mixing ingredients together. This book describes a systematic methodology for formulating such products so that they perform according to one's goals, providing scientists and engineers with a fast track to the implementation of the methodology. Experimental Design for Formulation contains examples from a wide variety of fields and includes a discussion of how to design experiments for a mixture setting and how to fit and interpret models in a mixture setting. It also introduces process variables, the combining of mixture and nonmixture variables in a designed experiment, and the concept of collinearity and the possible problems that can result from its presence. Experimental Design for Formulation is a useful manual for the formulator and can also be used by a resident statistician to teach an in-house short course. Statistical proofs are largely absent, and the formulas that are presented are included to explain how the various software packages carry out the analysis. Many examples are given of output from statistical software packages, and the proper interpretation of computer output is emphasized. Other topics presented include a discussion of an effect in a mixture setting, the presentation of elementary optimization methods, and multiple-response optimization wherein one seeks to optimize more than one response.

The Book of Ingeniously Daring Chemistry

Author : Sean Connolly
Publisher : Workman Publishing
ISBN 13 : 0761180109
Total Pages : 257 pages
Book Rating : 4.7/5 (611 download)

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Book Synopsis The Book of Ingeniously Daring Chemistry by : Sean Connolly

Download or read book The Book of Ingeniously Daring Chemistry written by Sean Connolly and published by Workman Publishing. This book was released on 2018-10-30 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Sean Connolly, the master of messy and dangerous (and therefore extra-fun) science, a collection of more than 20 hands-on experiments that are like an interactive journey through the periodic table of elements. In this introduction to chemistry for STEM-curious kids ages 9 and up, each chapter of The Book of Ingeniously Daring Chemistry focuses on a single element—its properties, how it was discovered, and even its potential danger level. Easy-to-follow experiments help readers put their newfound knowledge into action. All that’s needed is a sense of adventure and some items from around the house. Make your own fossil with silicon. Use a pinhead and measure 166 feet of string for a mind-boggling insight into how a hydrogen atom is built. Discover oxygen and oxygenation by slicing an apple and seeing what happens an hour later. Harness the power of zinc with a potato clock. And enjoy a special hands-off feature about the “Dirty Dozen”—those nasty elements, from arsenic to plutonium, that can wreak havoc wherever they appear (there are no experiments using these chemicals). Matter really matters, and now you’ll really understand why.

A Primer on Experiments with Mixtures

Author : John A. Cornell
Publisher : John Wiley & Sons
ISBN 13 : 0470907428
Total Pages : 376 pages
Book Rating : 4.4/5 (79 download)

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Book Synopsis A Primer on Experiments with Mixtures by : John A. Cornell

Download or read book A Primer on Experiments with Mixtures written by John A. Cornell and published by John Wiley & Sons. This book was released on 2011-09-26 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concise yet authoritative presentation of key techniques for basic mixtures experiments Inspired by the author's bestselling advanced book on the topic, A Primer on Experiments with Mixtures provides an introductory presentation of the key principles behind experimenting with mixtures. Outlining useful techniques through an applied approach with examples from real research situations, the book supplies a comprehensive discussion of how to design and set up basic mixture experiments, then analyze the data and draw inferences from results. Drawing from his extensive experience teaching the topic at various levels, the author presents the mixture experiments in an easy-to-follow manner that is void of unnecessary formulas and theory. Succinct presentations explore key methods and techniques for carrying out basic mixture experiments, including: Designs and models for exploring the entire simplex factor space, with coverage of simplex-lattice and simplex-centroid designs, canonical polynomials, the plotting of individual residuals, and axial designs Multiple constraints on the component proportions in the form of lower and/or upper bounds, introducing L-Pseudocomponents, multicomponent constraints, and multiple lattice designs for major and minor component classifications Techniques for analyzing mixture data such as model reduction and screening components, as well as additional topics such as measuring the leverage of certain design points Models containing ratios of the components, Cox's mixture polynomials, and the fitting of a slack variable model A review of least squares and the analysis of variance for fitting data Each chapter concludes with a summary and appendices with details on the technical aspects of the material. Throughout the book, exercise sets with selected answers allow readers to test their comprehension of the material, and References and Recommended Reading sections outline further resources for study of the presented topics. A Primer on Experiments with Mixtures is an excellent book for one-semester courses on mixture designs and can also serve as a supplement for design of experiments courses at the upper-undergraduate and graduate levels. It is also a suitable reference for practitioners and researchers who have an interest in experiments with mixtures and would like to learn more about the related mixture designs and models.

101 Ways to Gross Out Your Friends

Author : Julie Huffman
Publisher : Walter Foster Jr.
ISBN 13 : 1633221687
Total Pages : 147 pages
Book Rating : 4.6/5 (332 download)

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Book Synopsis 101 Ways to Gross Out Your Friends by : Julie Huffman

Download or read book 101 Ways to Gross Out Your Friends written by Julie Huffman and published by Walter Foster Jr.. This book was released on 2016-10-10 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: 101 Ways to Gross Out Your Friends shows kids how to use science and activities to make slimy snot, gorilla poop, and more to, well, gross out their friends!

Numerical and Evolutionary Optimization 2018

Author : Adriana Lara
Publisher : MDPI
ISBN 13 : 3039218166
Total Pages : 230 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Numerical and Evolutionary Optimization 2018 by : Adriana Lara

Download or read book Numerical and Evolutionary Optimization 2018 written by Adriana Lara and published by MDPI. This book was released on 2019-11-19 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was established after the 6th International Workshop on Numerical and Evolutionary Optimization (NEO), representing a collection of papers on the intersection of the two research areas covered at this workshop: numerical optimization and evolutionary search techniques. While focusing on the design of fast and reliable methods lying across these two paradigms, the resulting techniques are strongly applicable to a broad class of real-world problems, such as pattern recognition, routing, energy, lines of production, prediction, and modeling, among others. This volume is intended to serve as a useful reference for mathematicians, engineers, and computer scientists to explore current issues and solutions emerging from these mathematical and computational methods and their applications.