UNIT 1 : Introduction : Operation Research Introduction : Definition, Evolution and Classification of Quantitative Methods and Operations Research Techniques, Methodology, Advantages and Limitations. Linear Programming Problem : Introduction, Formulation of LPP, Solution of LPP by Two Phase Method only. Decision Theory : Meaning and Steps in Decision Making, Types of Management Decisions, Decision under Certainty, under Risk, under Uncertainty, Decision Trees. (Chapters - 1, 2, 3) UNIT 2 : Transportation and Assignment Model Introduction, Formulation, Basic Method of Solving Transportation Problem, Optimization Methods like UV and Stepping Stone Method, Assignment Problem-Hungarian Method to solve Assignment Problem. (Chapters - 4, 5) UNIT 3 : Theory of Games and Linear Programming Theory of Games : Introduction, Minimax and Maximin Principle, Solution of Game with Saddle Point, Solution by Dominance, Solution by Graphical Method, m x n size Game Problem, Iterative method, Introduction to formulation of games using Linear Programming. Replacement Analysis : Replacement of Items that Deteriorate, Replacement of Items that Fail suddenly. (Chapters - 6,7) UNIT 4 : Project Management Network Models : Fulkerson's rule, concept and types of floats, CPM and PERT, Crashing Analysis and Resource Scheduling. Simulation : Introduction, Monte-Carlo Simulation method, Simulation of Inventory and Queuing Problems. (Chapter - 8) UNIT 5 : Queuing Theory and Sequencing Models Queuing Theory : Introduction, Basic Structure, Terminology (Kendal's Notations) and Applications. Queuing Model M/M/1 : /FIFO, M/M/c. Sequencing models : Solution of sequencing Problem-Processing of n jobs through two machines, Processing of n jobs through three machines, Processing of two jobs through m Machines, Processing of n jobs through m Machines. (Chapters - 9, 10) UNIT 6 : Integer and Dynamic Programming Integer Programming Introduction to Integer Programming, Cutting plane method and Branch and Bound Method, Dynamic Programming : Introduction, DP Model, Applications of DP Model to shortest route problems. Solution of LPP by Dynamic Programming. (Chapters - 11, 12)
