Fundamentals Of Optimization

Fundamentals Of Optimization 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 Fundamentals Of Optimization book. This book definitely worth reading, it is an incredibly well-written.

Fundamentals of Optimization

Author : Mark French
Publisher : Springer
Page : 249 pages
File Size : 54,7 Mb
Release : 2018-05-02
Category : Technology & Engineering
ISBN : 9783319761923

Get Book

Fundamentals of Optimization by Mark French Pdf

This textbook is for readers new or returning to the practice of optimization whose interest in the subject may relate to a wide range of products and processes. Rooted in the idea of “minimum principles,” the book introduces the reader to the analytical tools needed to apply optimization practices to an array of single- and multi-variable problems. While comprehensive and rigorous, the treatment requires no more than a basic understanding of technical math and how to display mathematical results visually. It presents a group of simple, robust methods and illustrates their use in clearly-defined examples. Distinct from the majority of optimization books on the market intended for a mathematically sophisticated audience who might want to develop their own new methods of optimization or do research in the field, this volume fills the void in instructional material for those who need to understand the basic ideas. The text emerged from a set of applications-driven lecture notes used in optimization courses the author has taught for over 25 years. The book is class-tested and refined based on student feedback, devoid of unnecessary abstraction, and ideal for students and practitioners from across the spectrum of engineering disciplines. It provides context through practical examples and sections describing commercial application of optimization ideas, such as how containerized freight and changing sea routes have been used to continually reduce the cost of moving freight across oceans. It also features 2D and 3D plots and an appendix illustrating the most widely used MATLAB optimization functions.

Fundamentals of Optimization Techniques with Algorithms

Author : Sukanta Nayak
Publisher : Academic Press
Page : 323 pages
File Size : 47,6 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

Foundations of Optimization

Author : Osman Güler
Publisher : Springer Science & Business Media
Page : 445 pages
File Size : 54,9 Mb
Release : 2010-08-03
Category : Business & Economics
ISBN : 9780387684079

Get Book

Foundations of Optimization by Osman Güler Pdf

This book covers the fundamental principles of optimization in finite dimensions. It develops the necessary material in multivariable calculus both with coordinates and coordinate-free, so recent developments such as semidefinite programming can be dealt with.

Extremal Optimization

Author : Yong-Zai Lu,Yu-Wang Chen,Min-Rong Chen,Peng Chen,Guo-Qiang Zeng
Publisher : CRC Press
Page : 228 pages
File Size : 53,9 Mb
Release : 2018-09-03
Category : Computers
ISBN : 9781315360072

Get Book

Extremal Optimization by Yong-Zai Lu,Yu-Wang Chen,Min-Rong Chen,Peng Chen,Guo-Qiang Zeng Pdf

Extremal Optimization: Fundamentals, Algorithms, and Applications introduces state-of-the-art extremal optimization (EO) and modified EO (MEO) solutions from fundamentals, methodologies, and algorithms to applications based on numerous classic publications and the authors’ recent original research results. It promotes the movement of EO from academic study to practical applications. The book covers four aspects, beginning with a general review of real-world optimization problems and popular solutions with a focus on computational complexity, such as "NP-hard" and the "phase transitions" occurring on the search landscape. Next, it introduces computational extremal dynamics and its applications in EO from principles, mechanisms, and algorithms to the experiments on some benchmark problems such as TSP, spin glass, Max-SAT (maximum satisfiability), and graph partition. It then presents studies on the fundamental features of search dynamics and mechanisms in EO with a focus on self-organized optimization, evolutionary probability distribution, and structure features (e.g., backbones), which are based on the authors’ recent research results. Finally, it discusses applications of EO and MEO in multiobjective optimization, systems modeling, intelligent control, and production scheduling. The authors present the advanced features of EO in solving NP-hard problems through problem formulation, algorithms, and simulation studies on popular benchmarks and industrial applications. They also focus on the development of MEO and its applications. This book can be used as a reference for graduate students, research developers, and practical engineers who work on developing optimization solutions for those complex systems with hardness that cannot be solved with mathematical optimization or other computational intelligence, such as evolutionary computations.

Nonlinear and Mixed-Integer Optimization

Author : Christodoulos A. Floudas
Publisher : Oxford University Press on Demand
Page : 475 pages
File Size : 50,6 Mb
Release : 1995-10-05
Category : Science
ISBN : 9780195100563

Get Book

Nonlinear and Mixed-Integer Optimization by Christodoulos A. Floudas Pdf

1. Introduction. PART 1. FUNDAMENTALS OF CONVEX ANALYSIS AND NONLINEAR OPTIMIZATION. 2. Convex Analysis. 3. Fundamentals of Nonlinear Optimization. 4. Duality Theory. PART 2. FUNDAMENTALS OF MIXED-INTEGER OPTIMIZATION. 5. Mixed-Integer Linear Optimization. 6. Mixed-Integer Nonlinear Optimization. PART 3. APPLICATIONS IN PROCESS SYNTHESIS. 7. Process Synthesis. 8. Heat Exchanger Network Synthesis. 9. Distillation-based Separation Systems Synthesis. 10. Synthesis of Reactor Networks and Reactor-Separator-Recycle Systems. Bibliography. Index.

Optimization in Engineering

Author : Ramteen Sioshansi,Antonio J. Conejo
Publisher : Springer
Page : 412 pages
File Size : 53,6 Mb
Release : 2017-06-24
Category : Mathematics
ISBN : 9783319567693

Get Book

Optimization in Engineering by Ramteen Sioshansi,Antonio J. Conejo Pdf

This textbook covers the fundamentals of optimization, including linear, mixed-integer linear, nonlinear, and dynamic optimization techniques, with a clear engineering focus. It carefully describes classical optimization models and algorithms using an engineering problem-solving perspective, and emphasizes modeling issues using many real-world examples related to a variety of application areas. Providing an appropriate blend of practical applications and optimization theory makes the text useful to both practitioners and students, and gives the reader a good sense of the power of optimization and the potential difficulties in applying optimization to modeling real-world systems. The book is intended for undergraduate and graduate-level teaching in industrial engineering and other engineering specialties. It is also of use to industry practitioners, due to the inclusion of real-world applications, opening the door to advanced courses on both modeling and algorithm development within the industrial engineering and operations research fields.

Numerical Optimization

Author : Jorge Nocedal,Stephen Wright
Publisher : Springer Science & Business Media
Page : 664 pages
File Size : 45,9 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.

Structural Optimization

Author : Uri Kirsch
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 50,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642848452

Get Book

Structural Optimization by Uri Kirsch Pdf

This book was developed while teaching a graduate course at several universities in the United States. Europe and Israel. during the last two decades. The purpose of the book is to introduce the fundamentals and applications of optimum structural design. Much work has been done in this area recently and many studies have been published. The book is an attempt to collect together selected topics of this literature and to present them in a unified approach. It meets the need for an introductory text covering the basic concepts of modem structural optimization. A previous book by the author on this subject ("Optimum Structural Design". published by McGraw-Hill New York in 1981 and by Maruzen Tokyo in 1983). has been used extensively as a text in many universities throughout the world. The present book reflects the rapid progress and recent developments in this area. A major difficulty in studying structural optimization is that integration of concepts used in several areas. such as structural analysis. numerical optimization and engineering design. is necessary in order to solve a specific problem. To facilitate the study of these topics. the book discusses in detail alternative problem formulations. the fundamentals of different optimization methods and various considerations related to structural design. The advantages and the limitations of the presented approaches are illustrated by numerous examples.

Optimization Theory with Applications

Author : Donald A. Pierre
Publisher : Courier Corporation
Page : 640 pages
File Size : 50,7 Mb
Release : 2012-07-12
Category : Mathematics
ISBN : 9780486136950

Get Book

Optimization Theory with Applications by Donald A. Pierre Pdf

Broad-spectrum approach to important topic. Explores the classic theory of minima and maxima, classical calculus of variations, simplex technique and linear programming, optimality and dynamic programming, more. 1969 edition.

Convex Optimization for Signal Processing and Communications

Author : Chong-Yung Chi,Wei-Chiang Li,Chia-Hsiang Lin
Publisher : CRC Press
Page : 294 pages
File Size : 46,9 Mb
Release : 2017-01-24
Category : Technology & Engineering
ISBN : 9781315349800

Get Book

Convex Optimization for Signal Processing and Communications by Chong-Yung Chi,Wei-Chiang Li,Chia-Hsiang Lin Pdf

Convex Optimization for Signal Processing and Communications: From Fundamentals to Applications provides fundamental background knowledge of convex optimization, while striking a balance between mathematical theory and applications in signal processing and communications. In addition to comprehensive proofs and perspective interpretations for core convex optimization theory, this book also provides many insightful figures, remarks, illustrative examples, and guided journeys from theory to cutting-edge research explorations, for efficient and in-depth learning, especially for engineering students and professionals. With the powerful convex optimization theory and tools, this book provides you with a new degree of freedom and the capability of solving challenging real-world scientific and engineering problems.

Linear Algebra And Optimization With Applications To Machine Learning - Volume Ii: Fundamentals Of Optimization Theory With Applications To Machine Learning

Author : Quaintance Jocelyn,Gallier Jean H
Publisher : World Scientific
Page : 896 pages
File Size : 48,7 Mb
Release : 2020-03-16
Category : Mathematics
ISBN : 9789811216589

Get Book

Linear Algebra And Optimization With Applications To Machine Learning - Volume Ii: Fundamentals Of Optimization Theory With Applications To Machine Learning by Quaintance Jocelyn,Gallier Jean H Pdf

Volume 2 applies the linear algebra concepts presented in Volume 1 to optimization problems which frequently occur throughout machine learning. This book blends theory with practice by not only carefully discussing the mathematical under pinnings of each optimization technique but by applying these techniques to linear programming, support vector machines (SVM), principal component analysis (PCA), and ridge regression. Volume 2 begins by discussing preliminary concepts of optimization theory such as metric spaces, derivatives, and the Lagrange multiplier technique for finding extrema of real valued functions. The focus then shifts to the special case of optimizing a linear function over a region determined by affine constraints, namely linear programming. Highlights include careful derivations and applications of the simplex algorithm, the dual-simplex algorithm, and the primal-dual algorithm. The theoretical heart of this book is the mathematically rigorous presentation of various nonlinear optimization methods, including but not limited to gradient decent, the Karush-Kuhn-Tucker (KKT) conditions, Lagrangian duality, alternating direction method of multipliers (ADMM), and the kernel method. These methods are carefully applied to hard margin SVM, soft margin SVM, kernel PCA, ridge regression, lasso regression, and elastic-net regression. Matlab programs implementing these methods are included.

Optimization Models

Author : Giuseppe C. Calafiore,Laurent El Ghaoui
Publisher : Cambridge University Press
Page : 651 pages
File Size : 44,7 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.

Linear Programming

Author : Robert J Vanderbei
Publisher : Springer Science & Business Media
Page : 414 pages
File Size : 48,5 Mb
Release : 2013-07-16
Category : Business & Economics
ISBN : 9781461476306

Get Book

Linear Programming by Robert J Vanderbei Pdf

This Fourth Edition introduces the latest theory and applications in optimization. It emphasizes constrained optimization, beginning with a substantial treatment of linear programming and then proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Readers will discover a host of practical business applications as well as non-business applications. Topics are clearly developed with many numerical examples worked out in detail. Specific examples and concrete algorithms precede more abstract topics. With its focus on solving practical problems, the book features free C programs to implement the major algorithms covered, including the two-phase simplex method, primal-dual simplex method, path-following interior-point method, and homogeneous self-dual methods. In addition, the author provides online JAVA applets that illustrate various pivot rules and variants of the simplex method, both for linear programming and for network flows. These C programs and JAVA tools can be found on the book's website. The website also includes new online instructional tools and exercises.

Optimization for Data Analysis

Author : Stephen J. Wright,Benjamin Recht
Publisher : Cambridge University Press
Page : 239 pages
File Size : 53,9 Mb
Release : 2022-04-21
Category : Computers
ISBN : 9781316518984

Get Book

Optimization for Data Analysis by Stephen J. Wright,Benjamin Recht Pdf

A concise text that presents and analyzes the fundamental techniques and methods in optimization that are useful in data science.

Foundations of Optimization

Author : Douglass J. Wilde,Charles S. Beightler
Publisher : Unknown
Page : 504 pages
File Size : 50,5 Mb
Release : 1967
Category : Mathematical optimization
ISBN : UCAL:B3961759

Get Book

Foundations of Optimization by Douglass J. Wilde,Charles S. Beightler Pdf