Linear Programming Using MATLAB®
Autor: | Ploskas, Nikolaos Samaras, Nikolaos |
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EAN: | 9783319659176 |
Sachgruppe: | Mathematik |
Sprache: | Englisch |
Seitenzahl: | 664 |
Produktart: | Gebunden |
Veröffentlichungsdatum: | 10.11.2017 |
Schlagworte: | Algorithmus Datenverarbeitung / Anwendungen / Mathematik, Statistik Mathematik Mathematik / Informatik, Computer Menge - Mengenlehre Optimierung |
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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.