Module I : Introduction O R, application of OR techniques in modern managerial making,linear programming- formulation of L P solving L P graphicial –simplex method, special cases in LP degeneracy, alternate optima unbounted infeasible solution. Concept of duality and sensitivity analysis.
Module II: Transportation and assignment models
Transportation model- finding initial basic feasible solution , least cost method, Vogel approximation method , optimum solution method, special cases, unbalanced TP, degeneracy in TP, alternative TP, transshipment model.
Assignment Model- Hungarian method .
Module III:
Network models, PERT/CPM, application and importance, networks determination of critical paths slacks and floats.
Determination of PERT times crashing resource allocation and leveling
Module IV:
Decision theory- types decision making environment, decision making certainty, risk and uncertainty, decision tree approach.
Game theory- use of dominance- linear programming approach.
Module V:
Simulation, basic concepts, monte -carlo simulation
Queuing theory, basic elements of queuing model, operating characteristics system(M/M/I) Model.