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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)

Simulation And Modeling (Bbit 417) (Cisy 403) 3Rd Trimester 2014 Question Paper

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