Operations Research

Meaning, Nature, Scope and Role of Operations Research, Scientific approach in decision-making, Techniques of OR, Limitations of OR
Linear Programming-Mathematical formulation of Linear Programming problems and their solution using Graphic approach. Simplex method,.

Unbounded solution, Multiple Solutions, Non-Feasible solutions, Degenerate solutions, Primal and its dual. Introduction to Sensitivity Analysis
Transportation-General structure of transportation problem, methods of finding initial basic feasible solution (NWCM, LCM & VAM), test for optimality (MODI Method), Cases of unbalanced problems, Degeneracy, Multiple solutions and Prohibited Routes.

Solving the problem. Cases of unbalanced problems, multiple optimum solutions, maximization objective and unacceptable assignments
Sequencing Problems- General Assumptions, Basic Terminology, Processing n-jobs through two machines, Processing n-jobs through three machines, Processing n-jobs through m- machines

Decision-Making under certainty, uncertainty and risk, Decision tree analysis , Queuing theory-introduction, elementary queuing system, single channel queuing model ( with Poisson arrivals and exponential service times.)

Two persons Zero Sum games. Markov’s analysis-Introduction, application, state transition matrix, n steps transition probabilities, Markov Chain Algorithm.