34. 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?
34. 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 four
tellers 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). Arriving
customers 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?
Here appearance rate is,
Furthermore, administration rate is,
There are 4 tellers working.
The model is M/M
System 1:
The model is M/M/1
A solitary worker issue where all the 4 teller machines are working freely.
S
As there are 4 teller machines working 30 clients for every moment each. Subsequently all out clients it can deal with will be 120 clients for every moment.
Layout utilized is MM1_Template.xls.
In the above dominate simply enter the qualities in the cells B4 to B6 and the information itself figures the worth. From above table it tends to be seen the clients will spend above than the 8 minutes in line is 0.06.
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