Linear Programming Using MATLAB
Nikolaos Ploskas, University of Macedonia;
Nikolaos Samaras, University of Macedonia
Springer International Publishing, 2017
ISBN: 978-3-319-65917-6;
Language: English
Linear Programming Using MATLAB 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 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.
The book includes many examples using MATLAB and an appendix on Optimization Toolbox.
