Operations Research (Linear Programming) is a useful textbook for B.Sc Semester VI Mathematics students. The book is written by Manju Sharma and published by Ram Prasad Publication, Agra.

This book is prepared according to the National Education Policy (NEP-2020) syllabus and covers the fundamental concepts of linear programming and operations research in a clear and exam-oriented manner.

The book explains mathematical models, simplex methods, transportation problems and assignment problems with solved examples and exercises. It also includes multiple choice questions which are helpful for university examinations.

   Contents of the Book

1. Preliminaries (Convex Set and Basic Solution)

• Vectors and linear combination of vectors

• Convex sets and convex combinations

• Extreme points and convex hull

• Matrix notation and basic solutions

2. Linear Programming Problems

• Definition and formulation of LPP

• Graphical method and applications

• Characteristics and limitations of linear programming

3. Simplex Method – Theory and Applications

• Slack and surplus variables

• Standard form and canonical form

• Simplex algorithm and simplex tableau

4. Big-M Method and Two Phase Method

• Artificial variables

• Penalty method and dual approach

5. Resolution of Degeneracy in LPP

• Degeneracy problems and solutions

• Charnes perturbation method

6. Simultaneous Linear Equations using Simplex Method

7. Revised Simplex Method

8. Sensitivity Analysis

• Meaning and concept

• Changes in objective function and constraints

9. Duality in Linear Programming

10. Dual Simplex Method

11. Integer Linear Programming

12. Transportation Problems

• Mathematical formulation

• Corner rule and MODI method

13. Assignment Problems

• Hungarian method

• Travelling salesman problem

This book is very helpful for B.Sc Mathematics students preparing for Semester VI examinations and for understanding operations research concepts clearly.