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. .