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A

Section A: Long Answer Questions

Attempt any TWO questions.

3 questions·10 marks each
1long10 marks

Define system, model and simulation. Explain the different types of models and discuss the advantages and disadvantages of simulation.

simulation-concepts
2long10 marks

Explain the characteristics and structure of a basic queuing system. Discuss the various performance measures of a single-server (M/M/1) queuing system.

queuing
3long10 marks

Explain the Monte Carlo simulation method with a suitable example. Use Monte Carlo simulation to estimate the value of pi.

monte-carlo
B

Section B: Short Answer Questions

Attempt any EIGHT questions.

9 questions·5 marks each
4short5 marks

Explain the classification of models: static vs dynamic, deterministic vs stochastic, continuous vs discrete.

model-types
5short5 marks

Explain the tests for randomness. Describe the frequency (Kolmogorov-Smirnov) test and the runs test.

random-tests
6short5 marks

Explain the basic properties of random numbers: uniformity and independence.

random-properties
7short5 marks

Explain the inverse transform technique for generating random variates from the exponential distribution.

random-variate
8short5 marks

Explain Kendall's notation for queuing systems with examples.

queuing-kendall
9short5 marks

What is a simulation clock? Differentiate between fixed-increment and next-event time-advance mechanisms.

simulation-clock
10short5 marks

Explain Markov chains and their application in simulation with an example.

markov
11short5 marks

Differentiate between physical models and mathematical models with examples.

system-modeling
12short5 marks

Explain the mid-square method and the additive congruential method of generating random numbers.

midsquare