Cisy 403:Simulation And Modelling Question Paper
Cisy 403:Simulation And Modelling
Course:Computer Science
Institution: Kenya Methodist University question papers
Exam Year:2010
KENYA METHODIST UNIVERSITY
END OF SECOND TRIMESTER 2010 EXAMINATIONS
FACULTY : SCIENCE AND TECHNOLOY
DEPARTMENT : CIS AND BIT
COURSE CODE : CISY 403/BBIT 415
COURSE TITLE : SIMULATION AND MODELLING
TIME : 2 HOURS
INSTRUCTIONS
• Answer Question ONE and any Other TWO Questions
Question 1
a) Define the following
i) Simulation (2marks)
ii) Pseudo-random numbers (1mark)
iii) Seed (1mark)
b) Differentiate between the following
i) pseudo-random numbers and random numbers (1mark)
ii) endogenous and exogenous variables (2marks)
c) What are the advantages for using simulation other than experimenting with real life
systems? (5marks)
Question 2
a) What are the desired properties of a good random numbers generator (4marks)
b) Highlight the steps involved in carrying out a simulation exercise (5marks)
c) Briefly explain any three common techniques used to generate random numbers (4marks)
d) Consider simulating a single server queue; identify the exogenous and endogenous
variables (5marks)
Question 3
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.
a) Compute the measures of performance. (16marks)
b) What is the probability that the number of customers in the shop exceeds three? (2marks)
c) What percentage of customers goes directly to service? (2marks)
Question 4
a) Discuss the common random number generators commonly is use (6marks)
b) Briefly discuss the different kinds of simulations (6marks)
c) Write statements (algorithm) in MATLAB on how to simulate a fair coin 50 times and record the resulting number of heads and tails (4marks)
d) Discuss any two statistical techniques used to test for randomness when pseudo-random numbers are generated (4marks)
Question 5
a) Explain how a simple discrete event model can be constructed in MATLAB (15marks)
b) There are ten people in an office of which any one of them can talk on his/her phones any
minute with a probability of 0.25. Write statements to simulate this situation and identify the number of people who will be on phone between 9.00 am to 9.30 am (5marks)
Question 6
a) What does a M/M/1 model represent? (1mark)
b) Discuss the different types of systems and there corresponding reliabilities of
performance (9marks)
c) Highlight common steps used to all digital simulation (4marks)
d) i) What are the areas different in simulation languages (3marks)
ii) What are the standard capabilities (3marks)
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