Operations Research

Syllabus

                                 20MBA24: Operations Research

Module -1 Introduction                                                                                                                 7 hours

Definition, Scope of Operations Research, Characteristics, Advantages and Limitations. Quantitative Approach to Decision Making Models (Theory Only)

Module -2 Linear Programming                                                                                                  9 hours

Structure of Linear Program Model, Assumption, Advantages, Limitations, General Mathematical Model, Guidelines for Formulation of Linear Programming Model, Formulation of Problems, Graphical Method.

Module -3 Transportation Problem                                                                                             7 hours

General Structure of Transportation Problem, Methods of Finding Initial Basic Feasible Solution (NWCM, LCM & VAM), Degeneracy, Optimality Test Using Stepping Stone and MODI Methods (Theory Only). Assignment Problems - Introduction, General Structure. Problems on Minimization & Maximization.

Module -4 Decision Theory                                                                                                          9 hours

Decision Under Uncertainty- Maxmin & Minmax, Decision Under Risk- Expected Value, Simple Decision Tree Problems. (Only Theory). Job Sequencing- N Jobs-Two Machines and N Jobs-Three Machines, 2 Jobs-M Machines Cases. (Only Theory).

Module -5 Theory of Games                                                                                                        9 hours

Formulation of Game Models, Two Person Zero Sum Games & Their Solution, 2 x N and M x 2 Games, Pure Strategy Games with Saddle Point, Mixed Strategies (Graphical and Algebraic Methods), Limitations of Game Theory.

Simulation: Process of Simulation, Types of Simulation, Steps in Simulation Process, Monte Carlo Simulation, Simple Problems on Simulation Applications in Inventory, Queuing, Finance Problems, Advantages & Disadvantages.

Module-6 Project Management                                                                                                    9 hours

Structure of Projects, Phases of Project Management-Planning, Scheduling, Controlling Phase, Work Breakdown Structure, Project Control Charts, Network Planning, PERT & CPM, Network Components & Precedence Relationships, Critical Path Analysis, Probability in PERT Analysis, Theory of Crashing (Theory Only), Theory of Constraints (Theory Only).