Optimization Using Linear Programming

Designed for engineers, mathematicians, computer scientists, financial analysts, and anyone interested in using numerical linear algebra, matrix theory, and game theory concepts to maximize efficiency in solving applied problems. The book emphasizes the solution of various types of linear programming problems by using different types of software, but includes the necessary definitions and theorems to master theoretical aspects of the topics presented.

Features:



Emphasizes the solution of various types of linear programming problems by using different kinds of software, e.g., MS-Excel, solutions of LPPs by Mathematica, MATLAB, WinQSB, and LINDO 
Provides definitions, theorems, and procedures for solving problems and all cases related to various linear programming topics
Includes numerous application examples and exercises, e.g., transportation, assignment, and maximization
Presents numerous topics that can be used to solve problems involving systems of linear equations, matrices, vectors, game theory, simplex method, and more.




1: Basics of Linear Algebra Using MS-Excel

2: Introduction to LPPs and the Graphical Method

3: Simplex Method-I

4: Simplex Method-II

5: Duality

6: Sensitivity Analysis

7: Transportation and Transshipment Problems

8: Assignment Problems

9: Game Theory

Appendix: Use of Mathematica, MATLAB, Lindo

References

Index