Simulation and Modeling
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Simulation and Modeling
2080 Boards
Section A
Answer any two questions.
1
Why model of a system is built? What is static model? Differentiate between static and dynamic mathematical models in simulation.
10
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2
What is storage in GPSS? Describe the blocks associated to storage in GPSS. A machine tool in a manufacturing shop is turning out parts at the rate off one every 5 minutes. As they are finished the parts go on an inspector who takes 10 ± 3 minutes to examine each one and rejects 10% of the parts. Represent the system in GPSS using the concept of facility and run the simulation for 500 parts.
10
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3
What are the two main properties of random numbers? Test whether the 3rd, 7th, 11th, and so on numbers in the sequence in the following random number sample are auto-correlated. (Zα =0.05 and Z0.025 =1.96)
| 0.12 | 0.01 | 0.23 | 0.28 | 0.89 |
| 0.31 | 0.64 | 0.28 | 0.83 | 0.93 |
| 0.99 | 0.15 | 0.33 | 0.35 | 0.91 |
| 0.41 | 0.60 | 0.27 | 0.75 | 0.88 |
| 0.68 | 0.49 | 0.05 | 0.43 | 0.95 |
| 0.58 | 0.19 | 0.36 | 0.69 | 0.87 |
10
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Section B
Answer any eight questions.
4
Explain Markov chain with suitable example.
5
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5
What are steps involved in simulation study? Explain.
5
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6
Generate 10 random integers using Linear congruential method where m=1000, a =19, c=6 and X0=13
5
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7
Explain different estimation methods which are used in simulation output analysis.
5
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8
Define verification and validation. Explain the process of model verification in brief.
5
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9
What is feedback system? Explain with example.
5
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10
What is calling population? Explain arrival and service process in a queue.
5
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11
Explain Monte Carlo simulation method with example.
5
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12
Write short notes on:
a. Non-stationary poisson process
b. Poker test
5
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