Linear Programming And Extensions

Review of the book
The first book published in the field of operations research is the present book. Although more than 50 years have passed since the publication of this book, it is still one of the main references for linear programming research and teaching in the world’s leading universities. This book was written by George Dantzig, the father of operations research.

Table of Contents
The content presented in this book is as follows:
1- The idea of linear programming
2- History of linear programming
3- Formulation of linear programming models
4- Linear equations and systems of inequalities
5- Simplex method
6- Proof of simplex method and duality theory
7- Linear programming geometry
8- The simplex method using duality theory
9- Types of simplex algorithms
10- Dual values for linear programming
11- Game theory and linear programming
12- Transportation problem
13- The problem of allocation and distribution of goods
14- The problem of maximum flow in the network
15- The primary-dual method in the transportation problem
16- Principles of decomposition in linear programming
17- Convex planning
18- Uncertainty in linear programming
19- Integer programming solution methods
20- Some case examples in linear programming