Optimization Linear Programming

DESCRIPTION Optimization is a comprehensive textbook which has grown out of the collective experience of the authors in teaching the course over the years. The introductory text provides undergraduate and graduate students with a concise and practical introduction to the primary concepts and techniques of optimization. With a strong emphasis on basic concepts and techniques throughout the book explains the theory behind each technique as simply as possible along with illustrations and worked examples. SALIENT FEATURES ? A rigorous discussion on linear programming and its duality including model formulation. Additional solved examples and multi choice objective questions included at the last. ? Theory of convex sets discussed. ? Formulation of Transportation problem and methods of solution discussed including optimality test. ? Assignment problem formulated and discussed. ? Emphasis on Degeneracy and game theory. PEDAGOGICAL FEATURES ? Simple lucid and easily retainable language. ? Illustrative examples ? Unsolved problems. ? More real life applications ? Detailed index. CONTENTS Preface 1. Linear Programming 2. Simplex Method 3. Convex Sets 4. Transportation 5. Assignment Problems 6. Theory of games 7. Duality Theory 8. Degeneracy. ABOUT THE AUTHORS Dr. B.N.Mishra has retired as a University Professor and Head Department of Mathematics Vinoba Bhave University Hazaribag Jharkhand.His research areas are in the field of Fluid Mechanics Bio-Mathematics and Vedic Mathematics. He has published several research papers in the journals of national as well as international repute. He has produced 20 Ph.D.s and one D.Sc. He has a vast experience in teaching undergraduate and postgraduate students. He has taught the course Operations Research for more than 25 years. He has also published several books. Dr. Bimal Kumar Mishra is an Assistant Professor in the Mathematics Group Birla Institute of Technology and Science