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MODELING AND SIMULATION (TCS-506)

UNIT-I
Introduction: Systems, models, discrete event simulation and continuous simulation.
Discrete Event Simulation: Time-advance mechanisms, event modeling of discrete dynamic
systems, single-server single queue model, event graphs, Monte Carlo simulation.

UNIT-II
GPSS: Model structure, entities and transactions, blocks in GPSS, process oriented programming, user defined functions, SNA, logic switches, save locations, user chains,tabulation of result, programming examples.

Random Number Generation: Congruence generators, long period generators, uniformity and independence testing,

UNIT-III
Random Variate Generation: Location, scale and shape parameters, discrete and continuous probability distributions; Inverse transform method, composition and acceptance rejection methods.

UNIT-IV
Queuing Models: Little’s theorem, analytical results for M/M/1, M/M/1/N, M/M/c, M/G/1 and other queuing models.

Books:
1. Karian, Z.A. and Dudewicz, E.J., “Modern Statistical Systems and GPSS Simulation”,
2nd Ed., CRC Press. 1999
2. Banks, J., Carson, L.S., Nelson, B.L. and Nicol, D.M., “Discrete Event System
Simulation”, 3rd Ed., Pearson Education. 2002
3. Law, A.M. and Kelton, W.D., “Simulation, Modeling and Analysis”, 3rd Ed., Tata
McGraw-Hill. 2003