ADVANCED OPERATION RESEARCH (Optional Paper)

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

General Inventory models, role of demand in the development of inventory. Static Economic-Order-Quantity (EOQ) models with and without shortage, Dynamic EOQ models, Buffer stock , Inventory control system .
 

Elements of Queuing models, role of exponential, pure birth and death models, Kendall’s notations, Steady state measures of performance, single server model and multi server models with finite and infinite capacity .
 

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, Optimum duration and minimum duration cost. Sequencing Problems: notions, terminology, and assumptions, processing n jobs through 2 machines, 2 jobs through m machines with graphical method,  processing n jobs through m machines .