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 2ND TRIMESTER 2012 (EVENING) EXAMINATIONS
FACULTY : COMPUTING & INFORMATICS
DEPARTMENT : COMPUTER SCIENCE & BUSINESS INFORMATION
UNIT CODE : BBIT 417/CISY 403
UNIT TITLE : SIMULATION AND MODELLING
TIME : 2 HOURS
SECTION A: (30 MARKS)
Briefly describe techniques used to generate random numbers.
(6 Marks)
Explain the different kinds of models in use.
(6 Marks)
A Supermarket has a single cashier, during the rush hours, customers arrive at the rate of 10 per hour. The average number of customers that can be processed by the cashier is 12 per hour. On the basis of the information, find;
Probability that the cashier is idle.
(2 Marks)
Average time a customer spends in the system.
(2 Marks)
Average time a customer in the queuing system
(2 Marks)
Average number of customers in the queue.
(2 Marks)
Average time a customer spends in queue.
(2 Marks)
Consider a multiplicative congovential generator defined by Zo = 27, a= 8, C= 47 and m=100. Generate a sequence of FIVE random number.
(5 Marks)
SECITON B (Answer Any TWO Questions)
Question Two (20 marks)
A call center receives calls with inter-call and service times as follows.
(10 Marks)
Client 1 2 3 4 5 6 7
Inter-call time (Min) 2.0 1.1 1.4 0.7 1.0 1.3 2.1
Service time (Min) 1.2 1.5 0.8 1.1 0.8 1.7 0.7
Assuming a single-server generate a simulation table.
Calculate average waiting time for each caller
Find the proportion of role time of receptionist
Average time spent in the system
Explain the main steps followed in a simulation study.
(10 Marks)
Question Three (20 Marks)
Highlight the methods used to test the suitability of random numbers generated.
(4 Marks)
State some of the important distributions of arrival interval and service time.
(3 Marks)
Give the essential characteristics of the queuing process.
(3 Marks)
Given the function:
f(fx) = 4x3, explain how random numbers can be generated using the inverse transform method (4 ). (4 Marks)
Highlight the steps involved in carrying out a simulation exercise.
(6 Marks)
Question Four (20 Marks)
State the key factors considered when selecting a simulation language.
Differentiate between logical & physical models.
(4 Marks)
State some important distribution of the service times and arrival process in a queuing system.
(2 Marks)
Using the flow balance equation, show that the proportion of time spent by a system at any stat e depends on the proportion of time the system spends at state zero and hence the system is stable.
(10 Marks)
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