The origin of OR, the nature of OR, the impact of OR, defining the problem and gathering data, Formulating amathematical model, deriving solutions from the model, testing the model, preparing to apply the model,implementation .
Formulation of linear programming problem (LPP), examples, Graphical solution, the LP Model, Special cases of Graphical method, assumptions of Linear Programming (LP), additional example
The essence of the simplex method, setting up the simplex method, algebra of the simplex method, the simplexmethod in tabular form, special cases in the simplex method, tie breaking in the simplex method, adopting toother model forms (Two Phase method, Big-M method), post optimality analysis.
Foundation of the simplex method, the revised simplex method, a fundamental insight
The essence of duality theory, economic interpretation of duality, primal dual relationship, adapting to otherprimal forms, the role of duality in sensitive analysis, the dual simplex method
The transportation problem, a stream line simplex method for the transportation problem, the assignmentproblem, a special algorithm for the assignment problem
The nature of Metaheuristics, Tabu Search, Simulated Annealing, Generating Algorithms
The formulation of two persons, zero sum games, solving simple games- a prototype example, games withmixed strategies, graphical solution procedure, solving by linear programming, extensions