Linear Programming Using MATLAB®
| Autor: | Nikolaos Ploskas, Nikolaos Samaras |
|---|---|
| EAN: | 9783319659190 |
| eBook Format: | |
| Sprache: | Englisch |
| Produktart: | eBook |
| Veröffentlichungsdatum: | 28.10.2017 |
| Kategorie: | |
| Schlagworte: | Convert MAT2MPS Convert MPS2MAT Geometry of Linear Programming Problems Linear Programming Problem MATLAB linear programming Pres linear programming algorithms parametric programming scaling techniques sensitivity analysis simplex algorithm |
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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.
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