### Exam Year

Tribhuvan University

Institute of Science and Technology

2080

Bachelor Level / fifth-semester / Science

Computer Science and Information Technology( CSC317 )

Simulation and Modeling

Full Marks: 60 + 20 + 20

Pass Marks: 24 + 8 + 8

Time: 3 Hours

Candidates are required to give their answers in their own words as far as practicable.

The figures in the margin indicate full marks.

Section A

Attempt any two questions.

1

Why model of a system is built? What is static model? Differentiate between static and dynamic mathematical models in simulation.

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.

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

Section B

Attempt any eight questions.

4

Explain Markov chain with suitable example.

5

What are steps involved in simulation study? Explain.

6

Generate 10 random integers using Linear congruential method where m=1000, a =19, c=6 and X0=13

7

Explain different estimation methods which are used in simulation output analysis.

8

Define verification and validation. Explain the process of model verification in brief.

9

What is feedback system? Explain with example.

10

What is calling population? Explain arrival and service process in a queue.

11

Explain Monte Carlo simulation method with example.

12

Write short notes on:

a. Non-stationary poisson process

b. Poker test