Deterministic Models: Introduction and formulation of models, Linear Programming, Graphical Solution, Simplex method, Two-phase method, Big-M method, Duality in LP, transportation problems and Assignment problems. Probabilistic Models: Overview of Probability, Random Processes, Classification, Markov Chains, C-K equations, Ergodic chains, Poisson Processes, Birth and Death Processes, Queuing Theory, Basic concepts, M/M/1 and M/M/S queues, Reliability Theory, Concept of Hazard rate function, Bath-tub curve, MTTF and MTBF, System reliability for Series, Parallel and Mixed configurations.