Mathematical Optimization Terminology

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Mathematical Optimization Terminology

Andre A. Keller
Mathematical Optimization Terminology Book PDF

Author : Andre A. Keller
Publisher : Academic Press
Page : 338 pages
File Size : 47,5 Mb
Release : 2017-11-10
Category : Mathematics
ISBN : 9780128052952

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Mathematical Optimization Terminology by Andre A. Keller Pdf

Mathematical Optimization Terminology: A Comprehensive Glossary of Terms is a practical book with the essential formulations, illustrative examples, real-world applications and main references on the topic. This book helps readers gain a more practical understanding of optimization, enabling them to apply it to their algorithms. This book also addresses the need for a practical publication that introduces these concepts and techniques. Discusses real-world applications of optimization and how it can be used in algorithms Explains the essential formulations of optimization in mathematics Covers a more practical approach to optimization

Mathematical Optimization Terminology

Olga Moreira
Mathematical Optimization Terminology Book PDF

Author : Olga Moreira
Publisher : Arcler Press
Page : 0 pages
File Size : 42,9 Mb
Release : 2019-11
Category : Mathematics
ISBN : 1774071452

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Mathematical Optimization Terminology by Olga Moreira Pdf

Mathematical Optimization Terminology takes into account multi-objective method considering the problems related to optimization in case of power distribution systems. It includes a short survey on model-based evolutionary algorithms and study on parameter optimization for support vector regression. This book also discusses about gradient-based cuckoo search for global optimization, a hybrid cuckoo search algorithm, extraction methods for uncertain inference rules by ant colony optimization, a benchmark test suite for evolutionary many-objective optimization, a hybrid SA-MFO algorithm for function optimization and engineering design problems and social group optimization (SGO).

Trends in Mathematical Optimization

K.H. Hoffmann
Trends in Mathematical Optimization Book PDF

Author : K.H. Hoffmann
Publisher : Birkhäuser
Page : 376 pages
File Size : 54,8 Mb
Release : 2013-03-07
Category : Science
ISBN : 9783034892971

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Trends in Mathematical Optimization by K.H. Hoffmann Pdf

This volume contains a collection of 23 papers presented at the 4th French-German Conference on Optimization, hold at Irsee, April 21 - 26, 1986. The conference was aUended by ninety scientists: about one third from France, from Germany and from third countries each. They all contributed to a highly interesting and stimulating meeting. The scientifique program consisted of four survey lectures of a more tutorical character and of 61 contributed papers covering almost all areas of optimization. In addition two informal evening sessions and a plenary discussion on further developments of optimization theory were organized. One of the main aims of the organizers was to indicate and to stress the increasing importance of optimization methods for almost all areas of science and for a fast growing number of industry branches. We hope that the conference approached this goal in a certain degree and managed to continue fruitful discussions between -theory and -applications-. Equally important to the official contributions and lectures is the -nonmeasurable part of activities inherent in such a scientific meeting. Here the charming and inspiring atmosphere of a place like Irsee helped to establish numerous new contacts between the participants and to deepen already existing ones. The conference was sponsored by the Bayerische Kultusministerium, the Deutsche Forschungsgemeinschaft and the Universities of Augsburg and Bayreuth. Their interest in the meeting and their assistance is gratefully acknowledged. We would like to thank the authors for their contributions and the referees for their helpful comments.

Practical Mathematical Optimization

Jan Snyman
Practical Mathematical Optimization Book PDF

Author : Jan Snyman
Publisher : Springer Science & Business Media
Page : 282 pages
File Size : 44,6 Mb
Release : 2005-03-03
Category : Business & Economics
ISBN : 0387243488

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Practical Mathematical Optimization by Jan Snyman Pdf

This book presents basic optimization principles and gradient-based algorithms to a general audience, in a brief and easy-to-read form. It enables professionals to apply optimization theory to engineering, physics, chemistry, or business economics.

Introduction to Optimization Methods

P. Adby
Introduction to Optimization Methods Book PDF

Author : P. Adby
Publisher : Springer Science & Business Media
Page : 214 pages
File Size : 46,7 Mb
Release : 2013-03-09
Category : Science
ISBN : 9789400957053

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Introduction to Optimization Methods by P. Adby Pdf

During the last decade the techniques of non-linear optim ization have emerged as an important subject for study and research. The increasingly widespread application of optim ization has been stimulated by the availability of digital computers, and the necessity of using them in the investigation of large systems. This book is an introduction to non-linear methods of optimization and is suitable for undergraduate and post graduate courses in mathematics, the physical and social sciences, and engineering. The first half of the book covers the basic optimization techniques including linear search methods, steepest descent, least squares, and the Newton-Raphson method. These are described in detail, with worked numerical examples, since they form the basis from which advanced methods are derived. Since 1965 advanced methods of unconstrained and constrained optimization have been developed to utilise the computational power of the digital computer. The second half of the book describes fully important algorithms in current use such as variable metric methods for unconstrained problems and penalty function methods for constrained problems. Recent work, much of which has not yet been widely applied, is reviewed and compared with currently popular techniques under a few generic main headings. vi PREFACE Chapter I describes the optimization problem in mathemat ical form and defines the terminology used in the remainder of the book. Chapter 2 is concerned with single variable optimization. The main algorithms of both search and approximation methods are developed in detail since they are an essential part of many multi-variable methods.

Mathematics of Optimization: Smooth and Nonsmooth Case

Giorgio Giorgi,A. Guerraggio,J. Thierfelder
Mathematics of Optimization Smooth and Nonsmooth Case Book PDF

Author : Giorgio Giorgi,A. Guerraggio,J. Thierfelder
Publisher : Elsevier
Page : 614 pages
File Size : 49,8 Mb
Release : 2004-03-10
Category : Mathematics
ISBN : 9780080535951

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Mathematics of Optimization: Smooth and Nonsmooth Case by Giorgio Giorgi,A. Guerraggio,J. Thierfelder Pdf

The book is intended for people (graduates, researchers, but also undergraduates with a good mathematical background) involved in the study of (static) optimization problems (in finite-dimensional spaces). It contains a lot of material, from basic tools of convex analysis to optimality conditions for smooth optimization problems, for non smooth optimization problems and for vector optimization problems. The development of the subjects are self-contained and the bibliographical references are usually treated in different books (only a few books on optimization theory deal also with vector problems), so the book can be a starting point for further readings in a more specialized literature. Assuming only a good (even if not advanced) knowledge of mathematical analysis and linear algebra, this book presents various aspects of the mathematical theory in optimization problems. The treatment is performed in finite-dimensional spaces and with no regard to algorithmic questions. After two chapters concerning, respectively, introductory subjects and basic tools and concepts of convex analysis, the book treats extensively mathematical programming problems in the smmoth case, in the nonsmooth case and finally vector optimization problems. · Self-contained · Clear style and results are either proved or stated precisely with adequate references · The authors have several years experience in this field · Several subjects (some of them non usual in books of this kind) in one single book, including nonsmooth optimization and vector optimization problems · Useful long references list at the end of each chapter

Classical And Modern Optimization

Guillaume Carlier
Classical And Modern Optimization Book PDF

Author : Guillaume Carlier
Publisher : World Scientific
Page : 388 pages
File Size : 47,7 Mb
Release : 2022-03-16
Category : Mathematics
ISBN : 9781800610675

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Classical And Modern Optimization by Guillaume Carlier Pdf

The quest for the optimal is ubiquitous in nature and human behavior. The field of mathematical optimization has a long history and remains active today, particularly in the development of machine learning.Classical and Modern Optimization presents a self-contained overview of classical and modern ideas and methods in approaching optimization problems. The approach is rich and flexible enough to address smooth and non-smooth, convex and non-convex, finite or infinite-dimensional, static or dynamic situations. The first chapters of the book are devoted to the classical toolbox: topology and functional analysis, differential calculus, convex analysis and necessary conditions for differentiable constrained optimization. The remaining chapters are dedicated to more specialized topics and applications.Valuable to a wide audience, including students in mathematics, engineers, data scientists or economists, Classical and Modern Optimization contains more than 200 exercises to assist with self-study or for anyone teaching a third- or fourth-year optimization class.

Modern Mathematical Methods of Optimization

Karl-Heinz Elster
Modern Mathematical Methods of Optimization Book PDF

Author : Karl-Heinz Elster
Publisher : Wiley-VCH
Page : 424 pages
File Size : 46,9 Mb
Release : 1993-11
Category : Mathematics
ISBN : UOM:39015032568084

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Modern Mathematical Methods of Optimization by Karl-Heinz Elster Pdf

Light will be thrown on a variety of problems concerned with the construction and analysis of optimization models: equilibrium models of mathematical economy, modern numerical optimization methods and software, methods of convex programming optimal with respect to complexity, polynomial algorithms of linear programming, decomposition of optimization systems, modern apparatus of nonsmooth optimization, models and methods of discrete programming.

Mathematical Optimization Techniques

Richard Bellman
Mathematical Optimization Techniques Book PDF

Author : Richard Bellman
Publisher : Univ of California Press
Page : 362 pages
File Size : 45,9 Mb
Release : 2022-05-27
Category : Mathematics
ISBN : 9780520319868

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Mathematical Optimization Techniques by Richard Bellman Pdf

This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1963.

Practical Mathematical Optimization

Jan A Snyman,Daniel N Wilke
Practical Mathematical Optimization Book PDF

Author : Jan A Snyman,Daniel N Wilke
Publisher : Springer
Page : 372 pages
File Size : 40,9 Mb
Release : 2018-05-02
Category : Mathematics
ISBN : 9783319775869

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Practical Mathematical Optimization by Jan A Snyman,Daniel N Wilke Pdf

This book presents basic optimization principles and gradient-based algorithms to a general audience, in a brief and easy-to-read form. It enables professionals to apply optimization theory to engineering, physics, chemistry, or business economics.

Numerical Methods of Mathematical Optimization

Hans P. Künzi,H. G. Tzschach,C. A. Zehnder
Numerical Methods of Mathematical Optimization Book PDF

Author : Hans P. Künzi,H. G. Tzschach,C. A. Zehnder
Publisher : Academic Press
Page : 229 pages
File Size : 42,6 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483264714

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Numerical Methods of Mathematical Optimization by Hans P. Künzi,H. G. Tzschach,C. A. Zehnder Pdf

Numerical Methods of Mathematical Optimization: With ALGOL and FORTRAN Programs reviews the theory and the practical application of the numerical methods of mathematical optimization. An ALGOL and a FORTRAN program was developed for each one of the algorithms described in the theoretical section. This should result in easy access to the application of the different optimization methods. Comprised of four chapters, this volume begins with a discussion on the theory of linear and nonlinear optimization, with the main stress on an easily understood, mathematically precise presentation. In addition to the theoretical considerations, several algorithms of importance to the numerical application of optimization theory are described. The next chapter explains the computer programs used in actual optimization, which have the form of procedures or subroutines. The book concludes with an analysis of ALGOL and FORTRAN, paying particular attention to their use in global optimization procedures as well as for the simplex and duoplex methods and the decomposition, Gomory, Beale, and Wolfe algorithms. This monograph will be helpful to students and practitioners of computer science and applied mathematics.

Recent Advances in Optimization and its Applications in Engineering

Moritz Diehl,Francois Glineur,Elias Jarlebring,Wim Michiels
Recent Advances in Optimization and its Applications in Engineering Book PDF

Author : Moritz Diehl,Francois Glineur,Elias Jarlebring,Wim Michiels
Publisher : Springer Science & Business Media
Page : 535 pages
File Size : 50,8 Mb
Release : 2010-09-21
Category : Technology & Engineering
ISBN : 9783642125980

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Recent Advances in Optimization and its Applications in Engineering by Moritz Diehl,Francois Glineur,Elias Jarlebring,Wim Michiels Pdf

Mathematical optimization encompasses both a rich and rapidly evolving body of fundamental theory, and a variety of exciting applications in science and engineering. The present book contains a careful selection of articles on recent advances in optimization theory, numerical methods, and their applications in engineering. It features in particular new methods and applications in the fields of optimal control, PDE-constrained optimization, nonlinear optimization, and convex optimization. The authors of this volume took part in the 14th Belgian-French-German Conference on Optimization (BFG09) organized in Leuven, Belgium, on September 14-18, 2009. The volume contains a selection of reviewed articles contributed by the conference speakers as well as three survey articles by plenary speakers and two papers authored by the winners of the best talk and best poster prizes awarded at BFG09. Researchers and graduate students in applied mathematics, computer science, and many branches of engineering will find in this book an interesting and useful collection of recent ideas on the methods and applications of optimization.

Nonsmooth Approach to Optimization Problems with Equilibrium Constraints

Jiri Outrata,M. Kocvara,J. Zowe
Nonsmooth Approach to Optimization Problems with Equilibrium Constraints Book PDF

Author : Jiri Outrata,M. Kocvara,J. Zowe
Publisher : Springer Science & Business Media
Page : 281 pages
File Size : 43,5 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781475728255

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Nonsmooth Approach to Optimization Problems with Equilibrium Constraints by Jiri Outrata,M. Kocvara,J. Zowe Pdf

In the early fifties, applied mathematicians, engineers and economists started to pay c10se attention to the optimization problems in which another (lower-Ievel) optimization problem arises as a side constraint. One of the motivating factors was the concept of the Stackelberg solution in game theory, together with its economic applications. Other problems have been encountered in the seventies in natural sciences and engineering. Many of them are of practical importance and have been extensively studied, mainly from the theoretical point of view. Later, applications to mechanics and network design have lead to an extension of the problem formulation: Constraints in form of variation al inequalities and complementarity problems were also admitted. The term "generalized bi level programming problems" was used at first but later, probably in Harker and Pang, 1988, a different terminology was introduced: Mathematical programs with equilibrium constraints, or simply, MPECs. In this book we adhere to MPEC terminology. A large number of papers deals with MPECs but, to our knowledge, there is only one monograph (Luo et al. , 1997). This monograph concentrates on optimality conditions and numerical methods. Our book is oriented similarly, but we focus on those MPECs which can be treated by the implicit programming approach: the equilibrium constraint locally defines a certain implicit function and allows to convert the problem into a mathematical program with a nonsmooth objective.

Continuous Optimization

V. Jeyakumar,Alexander M. Rubinov
Continuous Optimization Book PDF

Author : V. Jeyakumar,Alexander M. Rubinov
Publisher : Springer Science & Business Media
Page : 454 pages
File Size : 48,5 Mb
Release : 2006-03-09
Category : Mathematics
ISBN : 9780387267715

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Continuous Optimization by V. Jeyakumar,Alexander M. Rubinov Pdf

Continuous optimization is the study of problems in which we wish to opti mize (either maximize or minimize) a continuous function (usually of several variables) often subject to a collection of restrictions on these variables. It has its foundation in the development of calculus by Newton and Leibniz in the 17*^ century. Nowadys, continuous optimization problems are widespread in the mathematical modelling of real world systems for a very broad range of applications. Solution methods for large multivariable constrained continuous optimiza tion problems using computers began with the work of Dantzig in the late 1940s on the simplex method for linear programming problems. Recent re search in continuous optimization has produced a variety of theoretical devel opments, solution methods and new areas of applications. It is impossible to give a full account of the current trends and modern applications of contin uous optimization. It is our intention to present a number of topics in order to show the spectrum of current research activities and the development of numerical methods and applications.

Mathematical Programming

Melvyn Jeter
Mathematical Programming Book PDF

Author : Melvyn Jeter
Publisher : Routledge
Page : 360 pages
File Size : 53,5 Mb
Release : 2018-05-03
Category : Business & Economics
ISBN : 9781351433136

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Mathematical Programming by Melvyn Jeter Pdf

This book serves as an introductory text in mathematical programming and optimization for students having a mathematical background that includes one semester of linear algebra and a complete calculus sequence. It includes computational examples to aid students develop computational skills.