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Consider a banking system with two inside tellers and two drive-in tellers. Arrivals to the system could go to either of the two sets of

Consider a banking system with two inside tellers and two drive-in tellers. Arrivals to the system could go to either of the two sets of tellers. The time between arrivals to the drive-in tellers is exponentially distributed with a mean of 1 minute. The drive-in tellers have a limited waiting space. Space is available for three cars waiting for the first drive-in teller and four cars waiting for the second drive-in teller. The service time for the first drive-in teller is normally distributed with a mean of 2 minutes and a standard deviation of 0.25. The service time for the second drive-in teller is uniformly distributed between 1 minute and 3 minutes. If a car arrives when both queues in the drive-in are full, the customer balks and seeks service from one of the inside tellers. However, the inside tellers open 1 hour later than the drive-in tellers and it takes between 0.5 and 1 minute to park and walk into the bank. Customers who arrive directly to inside tellers arrive through a different process, with the time exponentially distributed with a mean of 1.5 minutes. However, they join the same queue as the one with the balking customers from the drive-in. A single queue is used for both inside tellers. However, a maximum of seven customers can stand in the queue at any one time. The service times for the two inside tellers are triangularly distributed between 1 and 4 minutes with a mode of 3 minutes. Simulate this model for the bank system for a period of 8 hours (7 hours for the inside tellers). Assess the performance of the system.

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