OPERATION RESEARCH(optional paper)

Nonlinear Programming: Unconstrained algorithms; direct search method, gradient method . Constrained methods; Separable programming, quadratic programming.

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.

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.

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.

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.