This book is based on the lecture notes of the author delivered to the students at the Institute of Science, Banaras Hindu University, India.  It covers simplex, revised simplex, two-phase method, duality, dual simplex, complementary slackness, transportation and assignment problems with good number of examples, clear proofs, MATLAB codes and homework problems. The book will be useful for both students and practitioners.

chapter 1|4 pages


chapter 2|16 pages

Vector Spaces and Matrices

chapter 3|24 pages


chapter 4|24 pages

Introduction to Linear Programming

chapter 5|67 pages

The Simplex Method

chapter 6|37 pages

The Revised Simplex Method

chapter 7|37 pages


chapter 8|60 pages

The Transportation Problem

chapter 9|32 pages

The Assignment Problem