Mathematical Optimization Techniques

Mathematical Optimization Techniques 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 Mathematical Optimization Techniques book. This book definitely worth reading, it is an incredibly well-written.

Mathematical Optimization Techniques

Author : Richard Bellman
Publisher : Univ of California Press
Page : 362 pages
File Size : 50,8 Mb
Release : 2024-03-29
Category : Mathematics
ISBN : 9780520319875

Get Book

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

Author : Jan A Snyman,Daniel N Wilke
Publisher : Springer
Page : 372 pages
File Size : 55,9 Mb
Release : 2018-05-02
Category : Mathematics
ISBN : 9783319775869

Get Book

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.

Facility Layout

Author : Miguel F. Anjos,Manuel V.C. Vieira
Publisher : Springer Nature
Page : 121 pages
File Size : 46,5 Mb
Release : 2021-04-24
Category : Business & Economics
ISBN : 9783030709907

Get Book

Facility Layout by Miguel F. Anjos,Manuel V.C. Vieira Pdf

This book presents a structured approach to develop mathematical optimization formulations for several variants of facility layout. The range of layout problems covered includes row layouts, floor layouts, multi-floor layouts, and dynamic layouts. The optimization techniques used to formulate the problems are primarily mixed-integer linear programming, second-order conic programming, and semidefinite programming. The book also covers important practical considerations for solving the formulations. The breadth of approaches presented help the reader to learn how to formulate a variety of problems using mathematical optimization techniques. The book also illustrates the use of layout formulations in selected engineering applications, including manufacturing, building design, automotive, and hospital layout.

Numerical Optimization

Author : Jorge Nocedal,Stephen Wright
Publisher : Springer Science & Business Media
Page : 686 pages
File Size : 41,5 Mb
Release : 2006-12-11
Category : Mathematics
ISBN : 9780387400655

Get Book

Numerical Optimization by Jorge Nocedal,Stephen Wright Pdf

Optimization is an important tool used in decision science and for the analysis of physical systems used in engineering. One can trace its roots to the Calculus of Variations and the work of Euler and Lagrange. This natural and reasonable approach to mathematical programming covers numerical methods for finite-dimensional optimization problems. It begins with very simple ideas progressing through more complicated concepts, concentrating on methods for both unconstrained and constrained optimization.

Modern Optimization Modelling Techniques

Author : Roberto Cominetti,Francisco Facchinei,Jean B. Lasserre
Publisher : Springer Science & Business Media
Page : 265 pages
File Size : 44,7 Mb
Release : 2012-08-28
Category : Business & Economics
ISBN : 9783034802918

Get Book

Modern Optimization Modelling Techniques by Roberto Cominetti,Francisco Facchinei,Jean B. Lasserre Pdf

The theory of optimization, understood in a broad sense, is the basis of modern applied mathematics, covering a large spectrum of topics from theoretical considerations (structure, stability) to applied operational research and engineering applications. The compiled material of this book puts on display this versatility, by exhibiting the three parallel and complementary components of optimization: theory, algorithms, and practical problems. The book contains an expanded version of three series of lectures delivered by the authors at the CRM in July 2009. The first part is a self-contained course on the general moment problem and its relations with semidefinite programming. The second part is dedicated to the problem of determination of Nash equilibria from an algorithmic viewpoint. The last part presents congestion models for traffic networks and develops modern optimization techniques for finding traffic equilibria based on stochastic optimization and game theory.

Optimization Models

Author : Giuseppe C. Calafiore,Laurent El Ghaoui
Publisher : Cambridge University Press
Page : 651 pages
File Size : 40,8 Mb
Release : 2014-10-31
Category : Business & Economics
ISBN : 9781107050877

Get Book

Optimization Models by Giuseppe C. Calafiore,Laurent El Ghaoui Pdf

This accessible textbook demonstrates how to recognize, simplify, model and solve optimization problems - and apply these principles to new projects.

Mathematical Optimization Techniques

Author : Richard Bellman
Publisher : Univ of California Press
Page : 362 pages
File Size : 45,5 Mb
Release : 2022-05-27
Category : Mathematics
ISBN : 9780520319868

Get Book

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

Author : Jan Snyman
Publisher : Springer Science & Business Media
Page : 271 pages
File Size : 51,7 Mb
Release : 2005-12-15
Category : Mathematics
ISBN : 9780387243498

Get Book

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.

Decomposition Techniques in Mathematical Programming

Author : Antonio J. Conejo,Enrique Castillo,Roberto Minguez,Raquel Garcia-Bertrand
Publisher : Springer Science & Business Media
Page : 542 pages
File Size : 45,6 Mb
Release : 2006-04-28
Category : Technology & Engineering
ISBN : 9783540276869

Get Book

Decomposition Techniques in Mathematical Programming by Antonio J. Conejo,Enrique Castillo,Roberto Minguez,Raquel Garcia-Bertrand Pdf

Optimization plainly dominates the design, planning, operation, and c- trol of engineering systems. This is a book on optimization that considers particular cases of optimization problems, those with a decomposable str- ture that can be advantageously exploited. Those decomposable optimization problems are ubiquitous in engineering and science applications. The book considers problems with both complicating constraints and complicating va- ables, and analyzes linear and nonlinear problems, with and without in- ger variables. The decomposition techniques analyzed include Dantzig-Wolfe, Benders, Lagrangian relaxation, Augmented Lagrangian decomposition, and others. Heuristic techniques are also considered. Additionally, a comprehensive sensitivity analysis for characterizing the solution of optimization problems is carried out. This material is particularly novel and of high practical interest. This book is built based on many clarifying, illustrative, and compu- tional examples, which facilitate the learning procedure. For the sake of cl- ity, theoretical concepts and computational algorithms are assembled based on these examples. The results are simplicity, clarity, and easy-learning. We feel that this book is needed by the engineering community that has to tackle complex optimization problems, particularly by practitioners and researchersinEngineering,OperationsResearch,andAppliedEconomics.The descriptions of most decomposition techniques are available only in complex and specialized mathematical journals, di?cult to understand by engineers. A book describing a wide range of decomposition techniques, emphasizing problem-solving, and appropriately blending theory and application, was not previously available.

Mathematical Optimization and Economic Analysis

Author : Mikulás Luptácik
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 53,9 Mb
Release : 2009-10-03
Category : Mathematics
ISBN : 9780387895529

Get Book

Mathematical Optimization and Economic Analysis by Mikulás Luptácik Pdf

"Mathematical Optimization and Economic Analysis" is a self-contained introduction to various optimization techniques used in economic modeling and analysis such as geometric, linear, and convex programming and data envelopment analysis. Through a systematic approach, this book demonstrates the usefulness of these mathematical tools in quantitative and qualitative economic analysis. The book presents specific examples to demonstrate each technique’s advantages and applicability as well as numerous applications of these techniques to industrial economics, regulatory economics, trade policy, economic sustainability, production planning, and environmental policy. Key Features include: - A detailed presentation of both single-objective and multiobjective optimization; - An in-depth exposition of various applied optimization problems; - Implementation of optimization tools to improve the accuracy of various economic models; - Extensive resources suggested for further reading. This book is intended for graduate and postgraduate students studying quantitative economics, as well as economics researchers and applied mathematicians. Requirements include a basic knowledge of calculus and linear algebra, and a familiarity with economic modeling.

Introduction to Optimization Methods

Author : P. Adby
Publisher : Springer Science & Business Media
Page : 214 pages
File Size : 43,9 Mb
Release : 2013-03-09
Category : Science
ISBN : 9789400957053

Get Book

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.

Fundamentals of Optimization Techniques with Algorithms

Author : Sukanta Nayak
Publisher : Academic Press
Page : 323 pages
File Size : 49,7 Mb
Release : 2020-08-25
Category : Technology & Engineering
ISBN : 9780128224922

Get Book

Fundamentals of Optimization Techniques with Algorithms by Sukanta Nayak Pdf

Optimization is a key concept in mathematics, computer science, and operations research, and is essential to the modeling of any system, playing an integral role in computer-aided design. Fundamentals of Optimization Techniques with Algorithms presents a complete package of various traditional and advanced optimization techniques along with a variety of example problems, algorithms and MATLAB© code optimization techniques, for linear and nonlinear single variable and multivariable models, as well as multi-objective and advanced optimization techniques. It presents both theoretical and numerical perspectives in a clear and approachable way. In order to help the reader apply optimization techniques in practice, the book details program codes and computer-aided designs in relation to real-world problems. Ten chapters cover, an introduction to optimization; linear programming; single variable nonlinear optimization; multivariable unconstrained nonlinear optimization; multivariable constrained nonlinear optimization; geometric programming; dynamic programming; integer programming; multi-objective optimization; and nature-inspired optimization. This book provides accessible coverage of optimization techniques, and helps the reader to apply them in practice. Presents optimization techniques clearly, including worked-out examples, from traditional to advanced Maps out the relations between optimization and other mathematical topics and disciplines Provides systematic coverage of algorithms to facilitate computer coding Gives MATLAB© codes in relation to optimization techniques and their use in computer-aided design Presents nature-inspired optimization techniques including genetic algorithms and artificial neural networks

Methods and Models in Mathematical Programming

Author : S. A. MirHassani,F. Hooshmand
Publisher : Springer Nature
Page : 389 pages
File Size : 42,5 Mb
Release : 2019-12-09
Category : Mathematics
ISBN : 9783030270452

Get Book

Methods and Models in Mathematical Programming by S. A. MirHassani,F. Hooshmand Pdf

This book focuses on mathematical modeling, describes the process of constructing and evaluating models, discusses the challenges and delicacies of the modeling process, and explicitly outlines the required rules and regulations so that the reader will be able to generalize and reuse concepts in other problems by relying on mathematical logic.Undergraduate and postgraduate students of different academic disciplines would find this book a suitable option preparing them for jobs and research fields requiring modeling techniques. Furthermore, this book can be used as a reference book for experts and practitioners requiring advanced skills of model building in their jobs.

Mathematical Optimization in Computer Graphics and Vision

Author : Luiz Velho,Paulo Carvalho,Jonas Gomes,Luiz de Figueiredo
Publisher : Morgan Kaufmann
Page : 304 pages
File Size : 51,5 Mb
Release : 2011-08-09
Category : Computers
ISBN : 008087858X

Get Book

Mathematical Optimization in Computer Graphics and Vision by Luiz Velho,Paulo Carvalho,Jonas Gomes,Luiz de Figueiredo Pdf

Mathematical optimization is used in nearly all computer graphics applications, from computer vision to animation. This book teaches readers the core set of techniques that every computer graphics professional should understand in order to envision and expand the boundaries of what is possible in their work. Study of this authoritative reference will help readers develop a very powerful tool- the ability to create and decipher mathematical models that can better realize solutions to even the toughest problems confronting computer graphics community today. *Distills down a vast and complex world of information on optimization into one short, self-contained volume especially for computer graphics *Helps CG professionals identify the best technique for solving particular problems quickly, by categorizing the most effective algorithms by application *Keeps readers current by supplementing the focus on key, classic methods with special end-of-chapter sections on cutting-edge developments

Mathematical Theory of Optimization

Author : Ding-Zhu Du,Panos M. Pardalos,Weili Wu
Publisher : Springer Science & Business Media
Page : 277 pages
File Size : 49,7 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475757958

Get Book

Mathematical Theory of Optimization by Ding-Zhu Du,Panos M. Pardalos,Weili Wu Pdf

This book provides an introduction to the mathematical theory of optimization. It emphasizes the convergence theory of nonlinear optimization algorithms and applications of nonlinear optimization to combinatorial optimization. Mathematical Theory of Optimization includes recent developments in global convergence, the Powell conjecture, semidefinite programming, and relaxation techniques for designs of approximation solutions of combinatorial optimization problems.