One of the two teller machines handles withdrawals only while the other handles deposits only in a bank. The service time of both the machines follows exponential distribution with mean service time 3 minutes. The depositors arrive in the bank at the rate of 16 per hour and withdrawers arrive at the rate of 14 per hour in Poisson fashion. Find the average waiting withdrawers in the queue. If each machine can handle both the jobs of deposits and withdrawals, then what will be the average waiting time in queue for a customer ? times of depositors and

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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4.
(a)
One of the two teller machines handles
withdrawals only while the other handles
deposits only in a bank. The service time
of both the machines follows exponential
distribution with
mean
service time
3 minutes. The depositors arrive in the
bank at the rate of 16 per hour and
withdrawers arrive at the rate of 14 per
hour in Poisson fashion. Find the average
waiting
withdrawers in the queue. If each machine
can handle both the jobs of deposits and
withdrawals, then what will be the average
waiting time in queue for a customer ?
times
of
depositors
and
Transcribed Image Text:4. (a) One of the two teller machines handles withdrawals only while the other handles deposits only in a bank. The service time of both the machines follows exponential distribution with mean service time 3 minutes. The depositors arrive in the bank at the rate of 16 per hour and withdrawers arrive at the rate of 14 per hour in Poisson fashion. Find the average waiting withdrawers in the queue. If each machine can handle both the jobs of deposits and withdrawals, then what will be the average waiting time in queue for a customer ? times of depositors and
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