21MAT431 OPERATIONS RESEARCH ELECTIVES – MATHEMATICS-

Unit I-

Linear Programming Problems: Introduction to Operations Research, necessity of Operations Research in modern management- models in Operations Research, Introduction to Linear Programming Problems, Formulation of Linear Programming Problems, solutions to Linear Programming Problems based on graphical method, solutions based on simplex algorithm.

Unit II-

Transportation Models: Introduction to transportation – mathematical formulation of transportation problem, methods for initial basic feasible solution methods, MODI method for optimal.

Unit III-

Assignment Models: Introduction to assignment problem, mathematical formulation of assignment problem.

Unit IV-

Queuing Theory: Introduction to queuing theory, characteristics of queuing theory, single channel queuing models with finite and infinite size, solution to single channel queuing models.

Unit V-

CPM and PERT: Network logic, concepts and definition, network scheduling by critical path method, program evaluation and review technique.

TEXTBOOKS AND REFERENCES:

1) Hamadi A. Taha, “Operations Research – An Introduction”, Seventh Edition, Pearson Education, 2014.
2) KantiSwarup, P.K. Gupta and Man Mohan, “Operations Research”, NinthEdition,Sultan Chand and Sons, 2001.