Introduction, definition, OR models characteristics and phases of OR. Modeling with linear programming: Two variable LP model, Graphical LP solution, model in equation form graphical to algebraic solution, simplex method artificial starting solution, Special cases in simplex method, sensitivity analysis.
Definition of the dual problem primal to dual relationships, economic interpretation of duality, additional implex algorithms.
definition of transportation model basic feasible solution by different methods, finding optimal solutions, stepping stone method, MODI method, the assignment model, traveling salesman problem.
revised simplex method, dual simplex method, Bounded variable algorithm, parametric linear programming.
Formulation of two - person, zero sum games, solving simple games, the Max-min min-max principles, graphical solution procedure, solving by linear programming
Network representation, critical path computation, construction of the time schedule, variation under probabilistic models, crassing of simple networks, PERT calculations.