| Chapter No. | Chapter Name | Key Topics Covered | | :--- | :--- | :--- | | 1 | Linear Programming Problems | Introduction to LPP, problem formulation, and mathematical modeling | | 2 | Features of Optimal Solutions | Understanding the nature and characteristics of optimal solutions | | 3 | Mathematical Preliminaries | Review of necessary mathematical concepts, including convexity theory | | 4 | Simplex Method | The core algorithm for solving linear programming problems | | 5 | Degeneracy | A special case in LP where the simplex method may cycle | | 6 | Duality | The concept of primal and dual problems and their relationship | | 7 | Dual Simplex Method | A variant of the simplex method used for certain types of LP problems | | 8 | Transportation Problems | A special class of LP for efficiently moving goods from sources to destinations | | 9 | Assignment Problems | A specialized LP problem for optimally assigning tasks to agents | | 10 | Geometrical Aspects of Optimal Solutions | Visualizing LP solutions in geometric space | | 11 | Sensitivity Analysis | Studying how changes in model parameters affect the optimal solution | | 12 | Integral Linear Programming | Also known as Integer Programming, where solutions must be whole numbers | | 13 | Game Theory | The formal study of strategic decision-making among conflicting parties | | Appendix A | General Mathematical Programming Problems | Additional problems for practice | | Appendix B | Some Advanced Linear Programming Topics | A look at more sophisticated concepts in the field |
Linear Programming is a method to achieve the best outcome in a mathematical model whose requirements are represented by linear relationships. The main goal (e.g., maximize Linear Programming And Game Theory Ghosh Chakraborty Pdf
Once the theory is clear, practice implementing these models using computational tools such as Python ( scipy.optimize ), MATLAB, or Excel Solver to solve larger datasets. Conclusion | Chapter No
by J.G. Chakraborty and P.R. Ghosh is a definitive academic textbook widely used by undergraduate and postgraduate students in India, particularly those under the West Bengal Education Board and other Indian universities. Published by Moulik Library , the book spans over 500 pages and provides a rigorous foundation in mathematical optimization and strategic decision-making. Core Overview of the Book Conclusion by J