Operations Research

Operations Research: An Introduction , Characteristics, Nature, Scope and Role of Operations Research and Quantitative Techniques, Scientific approach in decision-making, Techniques of OR, Limitations of these Techniques.

Linear Programming: Mathematical formulation of Linear Programming problems and their solution using Graphic approach and Simplex method, Primal and its dual.

Transportation: Solving the problem. Testing the optimality MODI method. Cases of unbalanced problems, Degeneracy, Maximization objective, Multiple solutions and Prohibited Routes.

Assignment: Solving the problem. Cases of unbalanced problems, multiple optimum solutions, maximization objective and unacceptable assignments

Decision Theory-Decision-Making under certainty, uncertainty and risk, Decision tree analysis , Queuing theory-introduction, elementary queuing system, single channel queuing model  ( with Poisson arrivals and exponential service times.)

Theory of Games-Two persons Zero Sum games. Markov’s analysis-Introduction, application, state transition matrix, n steps transition probabilities,  Markov Chain Algorithm.