Masters of Business Administration:OPERATIONS RESEARCH

Course Objectives: To help student understand the concepts of Operations Research, various tools and models used for problems faced by managers.

Course Content

Unit-1: Operations Research:Introduction, Meaning, Scope and Applications, Advantages and Limitations.

Unit-2: Linear Programming: Introduction, Applications, Advantages and limitations. Formulation of a LPP, Standard and Canonical forms, Solution of LPP by Graphical method, Simplex Method and Big-M method. Duality , Dual of a LPP.

Unit-3 (A): Transportation Model: Formulation, Initial basic feasible solution by N-W corner method, Least Cost method, Vogel’s Approximation method. Optimization using Modified Distribution method and Steping Stone method. Duality in a Transportation Model

Unit3(B): Assignment Model: Formulation, Solution by Hungarian method, Travelling salesman problem.

Unit-4: Game Theory: Introduction, Minimax and Maximin Principles, Pure and Mixed strategies, Saddle point, Solution using Algebraic and Graphical methods. Game Theory and linear Programming.

Unit-5: Queuing Models: Introduction, Scope in Management decisions, Kandall’s notation, M/M/1 ( finite and infinite populations), Probability calculations, Applications of M/M/C ( infinite population).

Unit-6: Replacement Models: Introduction and scope in managerial decision making, Single Equipment Replacement, with and without considering time value of money, Replacement of items that fails suddenly, Group Replacement policy, Mortality and Staffing problem.

Unit-7 (A): Markov Chain Analysis: Computation of sequential probabilities of states for different periods, Steady state probability, Applications.

Unit-7 (B): Simulation: Introduction, Monte-Carlo technique and its applications.

Unit-8: Special topics ( Concepts Only): Goal Programming, Integer Programming, Quadratic Programming, Dynamic Programming, Kuhn-Tucker conditions.