AOR (M-TECH production engineering 2nd)

Linear Programming: The Theory of simplex solution, alternative optimal solution, unbounded

solutions, infeasible solutions, formulation of LP models for Production scheduling, network

planning, inventory Maintenance and capital budgeting and similar industrial problems. Two phase

method, revised simpler method and dual simplex method sensitivity analysis. The dual problem and

its role for post optimality analysis. The transportation and assignment models. Travelling salesman

model, and their industrial applications. (9 Hours)

Dynamic Optimisation Models: Formulation of dynamic optimisation models for common

Industrial problems. Optimisation of non-linear objective function by dynamic programming.

 (6 Hours)

Non-linear Optimisation Models: Non-linear objective queuing function o f unconstrained

variables, quadratic programming. (5 Hours)

Queues Models: Queing with single and parallel channels with limited and unlimited service. Bulk

input, bulk service, priority queue discipline. (5 hours)

Simulation Models: Generation of Random number. Use of Coeff. random numbers for system

simulation. Use of computers for system simulation. (5Hours)

Heuristic Models: Need for heuristic programming, examples of heuristic models for travelling

salesman problems, facilities design and assembly line balancing. (5 Hours)

Optimisation techniques :Introduction, theory and algorithms; classical method; non-linear

optimisation, unconstrained optimisation, constrained optimisation; langrangian multiplier

method. .