Introduction
Definition, scope of Operations Research, characteristics, advantages and limitations. Quantitative approach to decision making models (Theory Only)
Linear programming
Structure of linear program model, Assumption, Advantages, Limitations, General mathematical model, Guidelines for formulation of linear programming model, Formulation of problems, graphical method.
Transportation problem
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.
Decision theory
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).
Theory of games
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.
Project management
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).
Course outcomes:
1. Get an insight into the fundamentals of Operations Research and its definition, characteristics and phases
2. Use appropriate quantitative techniques to get feasible and optimal solutions
3. Understand the usage of game theory , Queuing Theory and Simulation for Solving Business Problems
4. Understand and apply the network diagram for project completion
Practical component:
Question paper pattern:
The SEE question paper will be set for 100 marks and the marks scored will be proportionately reduced to 60.
Textbook/ Textbooks
1 Operation Research: An Introduction H.A. Taha Pearson Publication 2012
2 Operation Research J K Sharma McMillan Publications 2014
Reference Books
1 Quantitative Techniques in management N D Vohra McGraw Hill 2015
2 Operation Research J K Sharma McMillan Publications 2016