An average of 2 customers per minutes arrive at Gotham City Bank.
An average of 2 customers per minutes arrive at Gotham City Bank. It takes a teller an average of 1.5 minutes to serve a customer. Interarrival and service times are exponential. The bank currently has 4 tellers working. The bank manager wants to compare the following two systems regarding average number of customers present in the bank and average time a customer will spend in the bank:
System 1 Each teller has her own line, and no jockeying between lines is permitted.
System 2 All customers wait in a single line for the first available teller.
- Compare both systems characteristics
- If you were the bank manager, which system would you prefer?
( Mathematical solution required )
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