Unit 1 : Introduction : Operation Research (Chapters - 1,2,3)
Introduction : Definition, Evolution and classification of quantitative methods and operations research techniques, Methodology, Advantages and limitations.
Linear programming : Introduction, Formulation, Simplex method (Big - M and two phase methods),
Dual simplex method (Conversion of primal to dual).
Introduction to sensitivity analysis.
Decision theory : Meaning and steps in decision making, Types of management decisions, Decision under certainty, Under risk, Under uncertainty, Decision trees.
Unit 2 : Transportation Model (Chapters - 4,5)
Introduction, Formulation, Basic method of solving transportation problem, Optimization methods like UV and stepping stone method, Concept of trans-shipment methods as an extension of transportation.
Assignment problem - Hungarian method to solve assignment problem, Travelling salesman as anextension of assignment problem
Unit 3 : Theory of Games and Investment Analysis (Chapters - 6,7)
Theory of games : Introduction, Minimax and maximin principle, Solution of game with saddle point,
Solution by dominance, Solution by graphical method, m n size game problem, Iterative method,Introduction to formulation of games using linear programming.
Investment analysis : Break-even analysis, Payback period method, A (A) R method, DCF method,IRR method, Introduction to probabilistic models.
Unit 4 : Inventory Control and Replacement Analysis (Chapters - 8,9)
Inventory control - Deterministic models - Shortage, Without shortage; Probabilistic inventory models,Introduction to concept of service level.
Replacement analysis - Replacement of items that deteriorate, Replacement of items that fail suddenly.
Unit 5 : Queuing Theory and Sequencing Models (Chapters - 10,11)
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.
Unit 6 : Network Models (Chapters - 12,13,14)
Network models : Fulkerson‘s rule, Concept and types of floats, CPM and PERT, Introduction to
Simulation : Introduction, Monte-Carlo simulation method, Simulation of inventory and queuing
Introduction to multi object decision making : Goal programming formulation.