Fundamentals of Optimization Techniques with Algorithms

Fundamentals of Optimization Techniques with Algorithms
Author: Sukanta Nayak
Publsiher: Academic Press
Total Pages: 323
Release: 2020-08-25
Genre: Technology & Engineering
ISBN: 9780128224922

Download Fundamentals of Optimization Techniques with Algorithms Book in PDF, Epub and Kindle

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

Optimization in Engineering

Optimization in Engineering
Author: Ramteen Sioshansi,Antonio J. Conejo
Publsiher: Springer
Total Pages: 412
Release: 2017-06-24
Genre: Mathematics
ISBN: 9783319567693

Download Optimization in Engineering Book in PDF, Epub and Kindle

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.

Introduction to Optimization Techniques

Introduction to Optimization Techniques
Author: Masanao Aoki
Publsiher: Unknown
Total Pages: 364
Release: 1971
Genre: Nonlinear programming
ISBN: UOM:39015004515766

Download Introduction to Optimization Techniques Book in PDF, Epub and Kindle

Some mathematical preliminaries; Criterion function representation; Location problems; Minimization of unconstrained functions; Minimization of constrained functions; Duality in optimization problems; Comparisons of optimization methods and test problems.

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

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
Publsiher: World Scientific
Total Pages: 896
Release: 2020-03-16
Genre: Mathematics
ISBN: 9789811216589

Download Linear Algebra And Optimization With Applications To Machine Learning Volume Ii Fundamentals Of Optimization Theory With Applications To Machine Learning Book in PDF, Epub and Kindle

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.

Optimal Reliability Design

Optimal Reliability Design
Author: Way Kuo,V. Rajendra Prasad,Frank A. Tillman,Ching-Lai Hwang
Publsiher: Cambridge University Press
Total Pages: 426
Release: 2001
Genre: Mathematics
ISBN: 0521781272

Download Optimal Reliability Design Book in PDF, Epub and Kindle

Optimal Reliability Design provides a detailed introduction to systems reliability and reliability optimization. State-of-the-art techniques for maximizing system reliability are described, focusing on component reliability enhancement and redundancy arrangement. The authors present several case studies and show how optimization techniques are applied in practice. They also pay particular attention to finding methods that give the optimal trade-off between reliability and cost. The book is suitable for use on graduate-level courses in reliability engineering and operations research. It will also be a valuable reference for practising engineers.

Optimization Techniques and Applications with Examples

Optimization Techniques and Applications with Examples
Author: Xin-She Yang
Publsiher: John Wiley & Sons
Total Pages: 384
Release: 2018-09-19
Genre: Mathematics
ISBN: 9781119490548

Download Optimization Techniques and Applications with Examples Book in PDF, Epub and Kindle

A guide to modern optimization applications and techniques in newly emerging areas spanning optimization, data science, machine intelligence, engineering, and computer sciences Optimization Techniques and Applications with Examples introduces the fundamentals of all the commonly used techniques in optimization that encompass the broadness and diversity of the methods (traditional and new) and algorithms. The author—a noted expert in the field—covers a wide range of topics including mathematical foundations, optimization formulation, optimality conditions, algorithmic complexity, linear programming, convex optimization, and integer programming. In addition, the book discusses artificial neural network, clustering and classifications, constraint-handling, queueing theory, support vector machine and multi-objective optimization, evolutionary computation, nature-inspired algorithms and many other topics. Designed as a practical resource, all topics are explained in detail with step-by-step examples to show how each method works. The book’s exercises test the acquired knowledge that can be potentially applied to real problem solving. By taking an informal approach to the subject, the author helps readers to rapidly acquire the basic knowledge in optimization, operational research, and applied data mining. This important resource: Offers an accessible and state-of-the-art introduction to the main optimization techniques Contains both traditional optimization techniques and the most current algorithms and swarm intelligence-based techniques Presents a balance of theory, algorithms, and implementation Includes more than 100 worked examples with step-by-step explanations Written for upper undergraduates and graduates in a standard course on optimization, operations research and data mining, Optimization Techniques and Applications with Examples is a highly accessible guide to understanding the fundamentals of all the commonly used techniques in optimization.

An Introduction to Optimization

An Introduction to Optimization
Author: Edwin K. P. Chong,Stanislaw H. Zak
Publsiher: John Wiley & Sons
Total Pages: 646
Release: 2013-01-14
Genre: Mathematics
ISBN: 9781118279014

Download An Introduction to Optimization Book in PDF, Epub and Kindle

Praise for the Third Edition ". . . guides and leads the reader through the learning path . . . [e]xamples are stated very clearly and the results are presented with attention to detail." —MAA Reviews Fully updated to reflect new developments in the field, the Fourth Edition of Introduction to Optimization fills the need for accessible treatment of optimization theory and methods with an emphasis on engineering design. Basic definitions and notations are provided in addition to the related fundamental background for linear algebra, geometry, and calculus. This new edition explores the essential topics of unconstrained optimization problems, linear programming problems, and nonlinear constrained optimization. The authors also present an optimization perspective on global search methods and include discussions on genetic algorithms, particle swarm optimization, and the simulated annealing algorithm. Featuring an elementary introduction to artificial neural networks, convex optimization, and multi-objective optimization, the Fourth Edition also offers: A new chapter on integer programming Expanded coverage of one-dimensional methods Updated and expanded sections on linear matrix inequalities Numerous new exercises at the end of each chapter MATLAB exercises and drill problems to reinforce the discussed theory and algorithms Numerous diagrams and figures that complement the written presentation of key concepts MATLAB M-files for implementation of the discussed theory and algorithms (available via the book's website) Introduction to Optimization, Fourth Edition is an ideal textbook for courses on optimization theory and methods. In addition, the book is a useful reference for professionals in mathematics, operations research, electrical engineering, economics, statistics, and business.

Extremal Optimization

Extremal Optimization
Author: Yongzai Lü,Yu-Wang Chen,Min-Rong Chen,Peng Chen (Optimization specialist),Guo-Qiang Zeng
Publsiher: Auerbach Publications
Total Pages: 0
Release: 2016
Genre: Computers
ISBN: 1498705650

Download Extremal Optimization Book in PDF, Epub and Kindle

The high demand in science and engineering communities requires more efficient and intelligent solutions to complex optimization problems dealing with a wide variety of real-world problems. This book introduces an effective method of optimization known as extremal optimization (EO). In research monograph and tutorial fashion, the book brings together the fundamentals, techniques, and algorithms of EO. It covers modified EO and multi-objective EO along with many numerical and benchmark examples based on original contributions and the authors' recent research results.