Introduction:
Statistics and managerial decisions, statistical data and Operations Research techniques.
Fundamentals of Statistics, probability and probability distributions:
Measures of central tendency and location, Measure of dispersion, skewness and kurtosis, Probability and rules of probability, Random variables and probability distributions – Binomial, Poisson, Hyper geometric and Normal.
Module 2:
Decision Making under Uncertainty:
Alternative criteria for decision under uncertainty, Bayesian approach and Incremental analysis.
Linear Programming Problem:
Formulation of L.P.P., Solution of L.P.P. by graphical method, Solution of L.P.P. by simplex method, Concept of duality and solution of dual problems, Solution of L.P.P. by dual simplex method and Sensitivity analysis.
Module 3: Transportation and Assignment Problems:
Structure of transportation problem and various methods to find LB.F.S, Optimality test of transportation problems by MODI method, Solution of degeneracy and unbalanced transportation problems, Assignment problems and solution by Hungarian method and Traveling Salesman problem.
Module 4: Theory of Games:
Two person zero sum game, Minimax & maximin strategies, Solution of game by dominance rules, arithmetic and algebraic methods, Solution of game by graphical method and method of matrices,
Module 5: Network Analysis:
PERT and CPM, Network construction and determination of critical path, Calculation of ES, EF, LS, LF, TF, FF and IF, Crashing of a project, Scheduling of a project and resource leveling.
Waiting Line:
Basic structure of queuing systems and characteristics, Expressions for M/M/l queuing model.
Simulation of Management systems:
Simulation and Monte Carlo method, Waiting line and inventory simulation models