13

b)

14

b)

a)

DC201 Pages: 3

What are the elements of a queuing system? What are the fundamental (6)

characteristics of a queueing system?

OR

At a one man barber shop, customers arrive according to poisson (6)

a)

distribution with a mean arrival rate of 5 per hour and his hair cutting time
was exponentially distributed with an average hair cut time being 10 minutes.
It is assumed that because of his excellent reputation customers were always
willing to wait. Calculate the following ,
(i) Average number of customers in the shop and the average number of
customers waiting for haircut.
(11) The average number of customers who have to wait prior to getting into
barber’s chair.
(111) The percentage of time, an arrival can walk right in, without having to wait.
Explain Monte-Carlo simulation. (6)
OR

Customers arrive at a milk booth for the required service. Assume that inter (6) arrival

and service times are constant and given by 1.8 and 4 time units, respectively. Simulate

the system by hand computations for 14 time units. What is the average waiting time per

customer? What is the percentage idle time of the facility? (Assume that the system starts

att=0)

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