Two teller, two queue bank
Consider a 2 teller, 2 queue bank simulation with 10 customers. Assume that even-numbered customers (i.e., customers 0, 2, 4, 6, and 8) go to teller 1 and the odd-numbered customers (i.e., customers 1, 3, 5, 7, and 9) go to teller 2.
Customer 0 arrives at time 0 to make a withdrawal.
Customer 1 arrives at time 1 to open an account.
Customer 2 arrives at time 1.5 to make a deposit with cash back.
Customer 3 arrives at time 2 to make a deposit. Customer 4 arrives at time 3.5 to make a withdrawal.
Customer 5 arrives at time 6 to make a deposit with cash back.
Customer 6 arrives at time 8 to open an account.
Customer 7 arrives at time 8.5 to make a withdrawal.
Customer 8 arrives at time 9.5 to make a deposit with cash back.
Customer 9 arrives at time 10 to make a deposit with cash back.
Assume the following transaction times.
Making a deposit takes 2 minutes.
Making a deposit with cash back takes 5 minutes.
Making a withdrawal takes 4 minutes.
Opening an account takes 10 minutes.
1. Show a timeline of the simulation showing when each customer arrives, gets a teller, and leaves. Use a separate sheet of graph paper.
2. What is the maximum queue length for each of the teller queues?
3. Assuming the simulation ends when the last customer leaves, what is the mean customer wait time for each queue?