MBA, Second Semester,AnnaUniversityChennai SyllabusBA7206: APPLIED OPERATIONS RESEARCHUnit-I: Introduction to Linear Programming (LP) (12)Introduction to Applications of Operations Research in Functional Areas of Management. Linear Programming-Formulation, Solution by Graphical and Simplex Methods (Primal - Penalty, Two Phase), Special Cases. Dual Simplex Method. Principles of Duality. Sensitivity Analysis. Unit-II: Linear Programming Extensions (12)Transportation Models (Minimising and Maximising Problems) – Balanced and Unbalanced Problems – Initial Basic Feasible Solution by N-W Corner Rule, Least Cost and Vogel’s Approximation Methods. Check for Optimality. Solution by MODI/Stepping Stone Method. Case of Degeneracy. Transhipment Models. Assignment Models (Minimising and Maximising Problems) – Balanced and Unbalanced Problems. Solution by Hungarian and Branch and Bound Algorithms. Travelling Salesman Problem. Crew Assignment Models. Unit-III: Integer Programming and Game Theory (12)Solution to Pure and Mixed Integer Programming Problem by Branch and Bound and Cutting Plane Algorithms. Game Theory-Two Person Zero Sum Games-Saddle Point, Dominance Rule, Convex Linear Combination (Averages), Methods of Matrices, Graphical and LP Solutions. UNIT-IV: Inventory Models, Simulation and Decision Theory (12)Inventory Models – EOQ and EBQ Models (With and Without Shortages), Quantity Discount Models. Decision Making Under Risk – Decision Trees – Decision Making under Uncertainty. Monte-Carlo Simulation. Unit-V: Queuing Theory and Replacement Models (12)Queuing Theory - Single and Multi-Channel Models – Infinite Number of Customers and Infinite Calling Source. Replacement Models-Individuals Replacement Models (With and without Time Value of Money) – Group Replacement Models.