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Cisy 403:Simulation And Modelling Question Paper

Cisy 403:Simulation And Modelling

Course:Computer Science

Institution: Kenya Methodist University question papers

Exam Year:2012

KENYA METHODIST UNIVERSITY

END OF 2''ND ''TRIMESTER 2012 (DAY) EXAMINATIONS
FACULTY : COMPUTING AND INFORMATICS
DEPARTMENT : COMPUTER INFORMATION SYSTEM
UNIT CODE : BBIT 417/CISY 403
UNIT TITLE : SIMULATION AND MODELLING
TIME :

SECTION A( 30 MARKS)

Question One

i) Use the linear congruential method to generate random numbers given that Xo = 1, a=3, C=7 and M=15.

(5mks)
ii) What is the pasted of this sequence? (2mks)

iii) Obtain uniformly distributed random numbers from (i) above. (2mks)

Using random numbers generated from (a) (i) above, demonstrate how you can generate random variants with a pdf f(x) = 2x.

(4mks)

What are the advantages of using simulation other than experimenting with real life systems?

(5mks)

A railway station has a single ticket counter. During rush hours, customers arrive at the rate of 15 per hour. The average number of customers that can be served is 20 per hour. Find out the following:

The probability that the ticket counter is free.

(3mks)

Average number of customers in the queue.

(3mks)

Describe the Kendall’s notation of queuing networks.

(5mks)

SECTION B: (Answer any two questions)

Question Two

Discuss the random numbers generators commonly in use.

(6mks)

Briefly discuss the different kinds of simulation.

(6mks)

Explain how Monte Carlo techniques can be used to simulate the output when a fair coin is tossed 100 times.

(5mks)

Why do we use random numbers in simulation?

(3mks)

Question Three.

What are the desired properties of a good random number generator?

(5mks)

There are many simulation languages, what are their standard capabilities and differences?

(6mks)

Briefly explain the properties of the following distributions

Binomial distribution

(2mks)

Poisson distribution

(2mks)

Normal distribution

(3mks)

Question Four

Consider a bank where arrivals follows a poisson process with mean arrival rate of 5.1 customers per hour, service time are exponential with mean time of 10 minutes

Compute the measures of performance.

(16mks)

What is the probability that the number of customers in the shop exceeds three?

(2mks)

What percentage of customers goes directly to service?

(2mks)

Cisy 403:Simulation And Modelling Question Paper

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