Nikolaos Ploskas Nikolaos Samaras Ploskas Linear Programming Using MATLAB®

Linear Programming Using MATLAB®

von Nikolaos Ploskas Nikolaos Samaras

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Beschreibung

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.


Methodically presents all components of the simplex-type methods

Enables readers to experiment with MATLAB® codes that are able to solve large-scale benchmark linear programs 

Contains 11 presolve techniques, 11 scaling techniques, 6 pivoting rules, and 4 basis inverse and update methods


Methodically presents all components of the simplex-type methods? Enables readers to experiment with MATLAB® codes that are able to solve large-scale benchmark linear programs? Contains 11 presolve techniques, 11 scaling techniques, 6 pivoting rules, and 4 basis inverse and update methods Includes supplementary material: sn.pub/extras

Autor*in

Nikolaos Ploskas

Themen in »Linear Programming Using MATLAB®«

MATLAB linear programming linear programming algorithms parametric programming scaling techniques sensitivity analysis simplex algorithm Linear Programming Problem Convert MAT2MPS Geometry of Linear Programming Problems Convert MPS2MAT Presolve Methods Gauss-Jordan Elimination matlab Optimization toolbox Pivoting Rules matlab toolbox

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Details

ISBN: 9783319659176
Verlag: Springer International Publishing
Erscheinung: 10.11.2017

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