Linear Programming - Formulation - Graphical method and Simplex Method - Formation of Primal and Dual.
Transportation Problems: NWC - LCM - VAM - Starting Solution - MODI method - Optimal solution – balanced and unbalanced Transportation problems (non degeneracy case only) - Assignment problems: Solving balanced and unbalanced assignment problems using Hungarian method.
Queuing Theory - definitions of Waiting Line Model - Queue Discipline - traffic intensity -Poisson Arrival - Birth Death Process - Problems from Single Server - Finite and infinite Population Model
CPM - Principles - Construction of Network for projects - Types of Floats PERT - Time scale analysis - critical path - probability of completion of project.
Simulation: Examples, advantages- limitations - Monte - Carlo simulation - Generation of random numbers - steps in simulation - uses of simulation - Simulation applied to queuing problems - simulation applied to some other types of problems.
Reference Book:
1. Operations Research by Kanti Swarup, Gupta R.K, Manmohan, S .Chand & Sons Education Publications, New Delhi, 16th Edition. 2012, Reprint 2013. 2. Tracts in Operations Research by Kanti Swarup, P.K. Gupta, Manmohan, S. Chand & Sons Education Publications, New Delhi, 11th Edition. 2003, Reprint 2003.
Text Book:
Recourse Management Techniques” by Prof.V.Sundaresan, K.S.Ganapathy Subramanian and K.Ganesan, .A.R. Publications, March 2011.