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Autor: Nikolaos Ploskas
ISBN-13: 9783319659176
Einband: Book w. online files/update
Seiten: 637
Gewicht: 1145 g
Format: 241x167x45 mm
Sprache: Englisch

Linear Programming using MATLAB®

127, Springer Optimization and Its Applications
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Contains 11 presolve techniques, 11 scaling techniques, 6 pivoting rules, and 4 basis inverse and update methods
1. Introduction.- 2. Linear Programming Algorithms.- 3. Linear Programming Benchmark and Random Problems.- 4. Presolve Methods.- 5. Scaling Techniques.- 6. Pivoting Rules.- 7. Basis Inverse and Update Methods.- 8. Revised Primal Simplex Algorithm.- 9. Exterior Point Simplex Algorithms.- 10. Interior Point Method.- 11. Sensitivity Analysis.- Appendix: MATLAB's Optimization Toolbox Algorithms.- Appendix: State-of-the-art Linear Programming Solvers;CLP and CPLEX.
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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Autor: Nikolaos Ploskas
ISBN-13 :: 9783319659176
ISBN: 3319659170
Erscheinungsjahr: 01.11.2017
Verlag: Springer-Verlag GmbH
Gewicht: 1145g
Seiten: 637
Sprache: Englisch
Auflage 2017
Sonstiges: Buch, 241x167x45 mm, 200 schwarz-weiße und 150 farbige Abbildungen, Bibliographie