SIMULATION PROBLEM FOR EXTRA CREDIT
First American Bank is trying to determine whether it should install one or two drive through teller window. The following probability distributions for arrival interval and service times have been developed from historical data:
Time between Arrival (min) Probability
1 0.2
2 0.6
3 0.1
4 0.1
Service Time (min) Probability
2 0.1
3 0.4
4 0.2
5 0.2
6 0.1
Assume that in the two-server system, an arriving car will join the shorter queue. When the queues are of equal length, there is 50 - 50 chance that the driver will enter the queue for either window.
a) Simulate both the one and two-teller system for 16 arrivals. Compute the average queue length (use graph), waiting time and percentage utilization for each system.
b) Discuss your results in a) and suggest the degree to which they could be used to make a decision about which system to employ.