Linear Programming Using MATLAB®
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 a…
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- Full title :Linear Programming Using MATLAB® / by Nikolaos Ploskas, Nikolaos Samaras.
Summary
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.
Read More ↓Edition Statements
- Publication Date:2017.
Publication Statements
- Publisher(s):Imprint, Springer, Springer International Publishing
- Place of Publication:Cham
- Language:eng
- Publication Date:2017.
The Physical Object
- Description:1 recurso en línea; 1 online resource (XVII, 637 p. 59 il., 47 il. in color)
Edition Identifiers
- ISBN:9783319659190, 3319659197, 9783319659176, 3319659170
- DOI:10.1007/978-3-319-65919-0
- oclc:on1013148797
- Dewey Decimal:519.6
Table of Contents
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.
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