Quantitative Techniques for Business Decisions

Linear Programming: Formulation of L.P. Problems, Graphical Solution and Simplex Method, Big-M method and Two-phase method; Duality
Introduction to Integer programming, Zero-one
Programming and Goal Programming

Elementary Transportation: Formulation of Transport Problem, Solution by N.W. Corner Rule, Least Cost method, Vogel’s Approximation Method (VAM), Modified Distribution Method. (Special cases: Multiple Solutions, Maximization case, Unbalanced case, prohibited routes)
Elementary Assignment: Hungarian Method, (Special cases: Multiple Solutions, Maximization case, Unbalanced case, Restrictions on assignment.)

Network Analysis: Construction of the Network diagram, Critical Path- float and slack analysis (Total float, free float, independent float), PERT, Project Time, Crashing

Decision Theory: Pay off Table, Opportunity Loss Table, Expected Monetary Value, Expected opportunity Loss, Expected Value of Perfect Information and Expected profit for Perfect Information

Introduction to Game Theory: Pay off Matrix- Two person Zero-Sum game, Pure strategy, Saddle point; Dominance Rule, Mixed strategy, Reduction of m x n game and solution of 2x2, 2 x s, and r x 2 cases by Graphical and Algebraic methods;
Introduction to Simulation: Monte Carlo Simulation