Operations Research (OR). The origins of OR. The Nature of OR. Mathematic modeling and its role in.
Introduction to Linear Programming (LP). The LP Model. Assumptions of LP. Two-Variable LP Model. Graphical LP Solution. Computer Solution (LINDO). Linear Programming Applications.
Solving LP Problems: The Simplex Method. The Essence of the Simplex Method. The Algebra of the Simplex Method. The Simplex Method in Tabular Form. The Big M Method. The Two-Phase Method. Sensitivity Analysis. The Theory of Simplex Method.
Duality Theory. Primal-Dual Relationships. Sensitivity and Post-Optimal Analysis.
Integer Linear Programming. Integer Programming Applications. Using Binary Variables. The Branch-and-Bound Technique. The Branch-and-Cut Approach.