Linear Programming and its Applications

Review of the book
The purpose of this book is linear programming and the main focus of this book is on modeling. Based on this goal, we examine a large number of applications of linear programming in reality and describe its modeling in detail. In this book, an attempt is made to rewrite the existing models to create a better model. In this book, a part of the solution method related to linear programming, including the simplex method and the interior point method, is discussed.

Table of Contents
The contents of this book are as follows:
1- Linear algebra
2- Complexity of algorithm calculations
3- An introduction to linear programming
4- Applications of linear programming
5- Simplex method
6- Dual theory
7- Developments of the simplex method
8- Analyzes after finding the optimal solution
9- Other solution methods
10- Rewriting linear programming models
11- multi-objective planning