Simulation And Modeling (Bbit 417) (Cisy 403) 3Rd Trimester 2014 Question Paper
Simulation And Modeling (Bbit 417) (Cisy 403) 3Rd Trimester 2014
Course:Bachelor Of Business Information Technology
Institution: Kenya Methodist University question papers
Exam Year:2014
SIMULATION AND MODELING (BBIT 417) (CISY 403) 3rd trimester 2014
KENYA METHODIST UNIVERSITY
END OF 3'rd 'TRIMESTER 2014 (PT) EXAMINATION
FACULTY : COMPUTING & INFORMATICS
DEPARTMENT : COMPUTER SCIENCE AND BUSINESS
INFORMATION
UNIT CODE : BBIT 417/CISY 403
UNIT TITLE : SIMULATION AND MODELLING
TIME : 2 HOURS
INSTRUCTIONS
Answer question one and any other two questions
Question One
Customers arrive at a watch repair shop according to a Poisson process at a rate of one per every 10 mins and the service time is an exponential random variable with mean 8 minutes
(8 Marks)
Find the average number of customers
Average time a customer spends in shop
Average time a customer spend in waiting for service
Idle time for server
Differentiate between the following;
Physical and mathematical model
(2 marks)
Static and dynamic model
(2 Marks)
A random variable X has the following distribution
X 1 2 4 6 8 10
P(x) 0.10 0.20 0.25 0.20 0.15 0.10
Plot the cumulative distribution function of x. Find the value of x corresponding to the following numbers 05, 45, 62, 91. (5 marks)
Explain the techniques used to generate random numbers.
(6 marks)
Why are random numbers used in simulation?
(2 marks)
Use linear congruential method to generate random numbers given that Xo=1, a=3, c=7 and m=15.
(5 Marks)
Question Two
Discuss the random number generators.
(10 marks)
Highlight the advantages of using simulation.
(5 Marks)
Discuss areas where simulation as applicable.
(5 Marks)
Question Three
Highlight the merits and demerits of simulation languages.
(8 marks)
Differentiate between simulation languages and simulators
(4 marks)
State the properties of a good random number generator.
(8 Marks)
Question Four
Use multiplicative congruential generator defined by xo=27, a=8, c=47 and m=100 to generate five random numbers.
(8 marks)
Explain the main steps involved in a simulation study.
(8 marks)
Describe the Kendal’s notation of queuing networks.
(4 Marks)
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