Operation Research (Optional Paper)
Paper Code:
MAT 428
Credits:
5
Contact Hours:
75.00
Max. Marks:
100.00
Unit I:
I
15.00
Nonlinear Programming: Unconstrained algorithms; direct search method, gradient method . Constrained methods; Separable programming, quadratic programming.
Unit II:
II
15.00
General Inventory models, role of demand in the development of inventory. Static Economic-Order-Quantity (EOQ) models; Dynamic EOQ models. Continuous review model, single period models, multi period models.
Unit III:
III
15.00
Elements of Queuing models, role of exponential, pure birth and death models. Generalized Poisson Queuing models, Specialized Poisson Queues: Steady state measures of performance, single server model multi server models.
Unit IV:
IV
15.00
Machine servicing models-(M/M/R): (GD/K/K), R< K. Replacement and maintenance models; gradual failure, sudden failure, replacement due to efficiency deteriorate with time, staffing problems, equipment renewal problems.
Unit V:
V
15.00
Project Scheduling by PERT-CPM. Methods of gathering statistical observations: subinterval method, replication method, regeneration method. Sequencing Problems: notions, terminology, and assumptions, processing n jobs through m machines.
Essential Readings:
- Operations Research an Introduction –Hamady A. Taha, Prentice Hall.
- Operations Research Theory and Applications-J.K.Sharma, Macmillan Publishers.
- Non linear Programming –S.D. Sharma, Kedar Nath Ram Nath & Co.
- Mathematical Programming Theory and Methods-S.M.Sinha.
- Operations Research, - Kanti Swarup, P. K. Gupta and Man Mohan, Sultan Chand & Sons
Academic Year:
