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Syllabus

UNIT
1
Sequencing problem

Processing n jobs through two machines- processing n jobs through k machines- processing 2 jobs through k machines.

UNIT
2
Dynamic programming

The recursive equation approach-characteristics of dynamic programming- dynamic programming algorithm- solution of LPP by dynamic programming

UNIT
3
Simulation

Process of simulation- simulation models-event-type simulation-generation of random number-monte-carlo simulation- simulation of inventory problems-simulation of a queuing system.

UNIT
4
Markov Analysis

Markov process-state transition matrix-transition diagram-construction of a state transition matrix-n-step transition probability-steady state (equilibrium) conditions- markov analysis algorithm

UNIT
5
Non linear programming problem.

Formulating a non linear programming problem-general non linear programming problem- constrained optimization with equality constraints.

Reference Book:

Operations Research an Introduction by Hamdy A Taha–Eighth Edition 2008 PHI Publication

Text Book:

Operations research by Kantiswarup, P.K.Gupta and Man Mohan.Published by Sultan Chand & Sons 13th edition, reprint2008 Unit I: Chapter -12, 12.1, 12.2, 12.3, 12.4, 12.5, 12.6. Unit II: Chapter- 13, 13.1, 13.2, 13.3, 13.4, 13.7. Unit III: Chapter-22, 22.1, 22.2, 22.3, 22.4, 22.5, 22.6, 22.7, 22.8, 22.9. Unit IV: Chapter-15, 15.1, 15.2, 15.5, 15.6, 15.7, 15.8, 15.9, 15.10. Unit V: Chapter- 27 27.1, 27.2, 27.3, 27.4.

 

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