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Introduction to Linear Optimization and Extensions with MATLAB

Introduction to Linear Optimization and Extensions with MATLAB
Author: Roy H. Kwon
Publisher: CRC Press
Total Pages: 356
Release: 2013-09-05
Genre: Business & Economics
ISBN: 1482204347

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Filling the need for an introductory book on linear programming that discusses the important ways to mitigate parameter uncertainty, Introduction to Linear Optimization and Extensions with MATLAB provides a concrete and intuitive yet rigorous introduction to modern linear optimization. In addition to fundamental topics, the book discusses current l


Introduction to Linear Optimization and Extensions with MATLAB®

Introduction to Linear Optimization and Extensions with MATLAB®
Author: Roy Kwon
Publisher:
Total Pages: 362
Release: 2013
Genre:
ISBN:

Download Introduction to Linear Optimization and Extensions with MATLAB® Book in PDF, ePub and Kindle

Filling the need for an introductory book on linear programming that discusses the important ways to mitigate parameter uncertainty, Introduction to Linear Optimization and Extensions with MATLAB® provides a concrete and intuitive yet rigorous introduction to modern linear optimization. In addition to fundamental topics, the book discusses current linear optimization technologies such as predictor-path following interior point methods for both linear and quadratic optimization as well as the inclusion of linear optimization of uncertainty i.e. stochastic programming with recourse and robust optimization. The author introduces both stochastic programming and robust optimization as frameworks to deal with parameter uncertainty. The author's unusual approach-developing these topics in an introductory book-highlights their importance. Since most applications require decisions to be made in the face of uncertainty, the early introduction of these topics facilitates decision making in real world environments. The author also includes applications and case studies from finance and supply chain management that involve the use of MATLAB. Even though there are several LP texts in the marketplace, most do not cover data uncertainty using stochastic programming and robust optimization techniques. Most emphasize the use of MS Excel, while this book uses MATLAB which is the primary tool of many engineers, including financial engineers. The book focuses on state-of-the-art methods for dealing with parameter uncertainty in linear programming, rigorously developing theory and methods. But more importantly, the author's meticulous attention to developing intuition before presenting theory makes the material come alive.


Linear Programming with MATLAB

Linear Programming with MATLAB
Author: Michael C. Ferris
Publisher: SIAM
Total Pages: 277
Release: 2007-01-01
Genre: Mathematics
ISBN: 9780898718775

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This textbook provides a self-contained introduction to linear programming using MATLAB software to elucidate the development of algorithms and theory. Early chapters cover linear algebra basics, the simplex method, duality, the solving of large linear problems, sensitivity analysis, and parametric linear programming. In later chapters, the authors discuss quadratic programming, linear complementarity, interior-point methods, and selected applications of linear programming to approximation and classification problems. Exercises are interwoven with the theory presented in each chapter, and two appendices provide additional information on linear algebra, convexity, nonlinear functions, and on available MATLAB commands, respectively. Readers can access MATLAB codes and associated mex files at a Web site maintained by the authors. Only a basic knowledge of linear algebra and calculus is required to understand this textbook, which is geared toward junior and senior-level undergraduate students, first-year graduate students, and researchers unfamiliar with linear programming.


Introduction to Linear Programming with MATLAB

Introduction to Linear Programming with MATLAB
Author: Shashi Kant Mishra
Publisher: Taylor & Francis CRC Press
Total Pages: 313
Release: 2017-08
Genre: Linear programming
ISBN: 9781138092266

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This book is based on the lecture notes of the author delivered to the students at the Institute of Science, Banaras Hindu University, India. It covers simplex, revised simplex, two-phase method, duality, dual simplex, complementary slackness, transportation and assignment problems with good number of examples, clear proofs, MATLAB codes and homework problems. The book will be useful for both students and practitioners.


Linear Programming Using MATLAB®

Linear Programming Using MATLAB®
Author: Nikolaos Ploskas
Publisher: Springer
Total Pages: 646
Release: 2017-10-28
Genre: Mathematics
ISBN: 3319659197

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This book offers a theoretical and computational presentation of a variety of linear programming algorithms and methods with an emphasis on the revised simplex method and its components. A theoretical background and mathematical formulation is included for each algorithm as well as comprehensive numerical examples and corresponding MATLAB® code. The MATLAB® implementations presented in this book are sophisticated and allow users to find solutions to large-scale benchmark linear programs. Each algorithm is followed by a computational study on benchmark problems that analyze the computational behavior of the presented algorithms. As a solid companion to existing algorithmic-specific literature, this book will be useful to researchers, scientists, mathematical programmers, and students with a basic knowledge of linear algebra and calculus. The clear presentation enables the reader to understand and utilize all components of simplex-type methods, such as presolve techniques, scaling techniques, pivoting rules, basis update methods, and sensitivity analysis.


Linear Optimization and Extensions

Linear Optimization and Extensions
Author: Manfred Padberg
Publisher: Springer Science & Business Media
Total Pages: 521
Release: 2013-04-17
Genre: Mathematics
ISBN: 3662122731

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From the reviews: "Do you know M.Padberg's Linear Optimization and Extensions? [...] Now here is the continuation of it, discussing the solutions of all its exercises and with detailed analysis of the applications mentioned. Tell your students about it. [...] For those who strive for good exercises and case studies for LP this is an excellent volume." Acta Scientiarum Mathematicarum


Introduction to Linear Programming with MATLAB

Introduction to Linear Programming with MATLAB
Author: Shashi Kant Mishra
Publisher: CRC Press
Total Pages: 313
Release: 2017-09-07
Genre: Mathematics
ISBN: 1351596802

Download Introduction to Linear Programming with MATLAB Book in PDF, ePub and Kindle

This book is based on the lecture notes of the author delivered to the students at the Institute of Science, Banaras Hindu University, India. It covers simplex, revised simplex, two-phase method, duality, dual simplex, complementary slackness, transportation and assignment problems with good number of examples, clear proofs, MATLAB codes and homework problems. The book will be useful for both students and practitioners.


Elementary Linear Programming with Applications

Elementary Linear Programming with Applications
Author: Bernard Kolman
Publisher: Elsevier
Total Pages: 417
Release: 2014-05-10
Genre: Mathematics
ISBN: 148326968X

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Elementary Linear Programming with Applications presents a survey of the basic ideas in linear programming and related areas. It also provides students with some of the tools used in solving difficult problems which will prove useful in their professional career. The text is comprised of six chapters. The Prologue gives a brief survey of operations research and discusses the different steps in solving an operations research problem. Chapter 0 gives a quick review of the necessary linear algebra. Chapter 1 deals with the basic necessary geometric ideas in Rn. Chapter 2 introduces linear programming with examples of the problems to be considered, and presents the simplex method as an algorithm for solving linear programming problems. Chapter 3 covers further topics in linear programming, including duality theory and sensitivity analysis. Chapter 4 presents an introduction to integer programming. Chapter 5 covers a few of the more important topics in network flows. Students of business, engineering, computer science, and mathematics will find the book very useful.


Introduction to Linear Optimization

Introduction to Linear Optimization
Author: Dimitris Bertsimas
Publisher:
Total Pages: 587
Release: 1997-01-01
Genre: Mathematics
ISBN: 9781886529199

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Solving Optimization Problems with MATLAB®

Solving Optimization Problems with MATLAB®
Author: Dingyü Xue
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 342
Release: 2020-04-06
Genre: Computers
ISBN: 3110667010

Download Solving Optimization Problems with MATLAB® Book in PDF, ePub and Kindle

This book focuses on solving optimization problems with MATLAB. Descriptions and solutions of nonlinear equations of any form are studied first. Focuses are made on the solutions of various types of optimization problems, including unconstrained and constrained optimizations, mixed integer, multiobjective and dynamic programming problems. Comparative studies and conclusions on intelligent global solvers are also provided.