On average, 100 customers arrive per hour at GothamCity Bank. It takes a teller an average of two minutesto serve a customer. Interarrival and service times areexponentially distributed. The bank currently has fourtellers working. The bank manager wants to compare thefollowing two systems with regard to the average numberof customers present in the bank and the probability that acustomer will spend more than eight minutes in line.■ System 1: Each teller has his or her own line (andno moving between lines is permitted). Arrivingcustomers are equally likely to choose any teller.■ System 2: All customers wait in a single line forthe first available teller.If you were the bank manager, which system wouldyou prefer?
On average, 100 customers arrive per hour at Gotham
City Bank. It takes a teller an average of two minutes
to serve a customer. Interarrival and service times are
exponentially distributed. The bank currently has four
tellers working. The bank manager wants to compare the
following two systems with regard to the average number
of customers present in the bank and the probability that a
customer will spend more than eight minutes in line.
■ System 1: Each teller has his or her own line (and
no moving between lines is permitted). Arriving
customers are equally likely to choose any teller.
■ System 2: All customers wait in a single line for
the first available teller.
If you were the bank manager, which system would
you prefer?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 4 images