: Step-by-step mathematical derivations of the Simplex multipliers and duality theorems.
Optimizing the cost of shipping goods from multiple sources to multiple destinations using methods like the North-West Corner Rule, Vogel’s Approximation Method (VAM), and the MODI method. Assignment Problems: Allocating Linear Programming And Game Theory Ghosh Chakraborty Pdf
The algebraic framework used for solving complex, multi-variable problems. The book provides clear, tabular examples of iterations, slack/surplus variables, and artificial variable techniques (like the Big-M and Two-Phase methods). Duality and Sensitivity Analysis The book provides clear, tabular examples of iterations,
| Topic | Ghosh & Chakraborty Focus | Free Alternative Resource | | :--- | :--- | :--- | | | Detailed tableau iteration | MIT OCW 6.251J (Introduction to Mathematical Programming) | | Duality | Mathematical proofs | "Duality in LP" by Prof. G. Srinivasan (NPTEL Video) | | Game to LP Conversion | Numerical examples | Chapter 15 of "Operations Research" by Kanti Swarup (Similar Indian text) | | Mixed Strategies | Probabilistic play | "Strategy: An Introduction to Game Theory" by Joel Watson (Ch. 7-8) | Srinivasan (NPTEL Video) | | Game to LP
Evaluates how changes in coefficients or constraint limits affect the final optimal solution. Foundations of Game Theory