Question

Asked Feb 26, 2019

Many of a bank’s customers use its automatic teller machine to transact business after normal

banking hours. During the early evening hours in the summer months, customers arrive at a

certain location at the rate of one every other minute. This can be modeled using a Poisson

distribution. Each customer spends an average of 90 seconds completing his or her

transaction. Transaction time is exponentially distributed.

A) Identify the Queuing Model and sketch the system.

B) What is the arrival rate?

C) What is the service rate?

Step 1

The arrival rate is 1 per minute and a Poisson distribution is assumed. The service time is 90 seconds or 1.5 min. So the service rate is 1/1.5 (number of customers per min) and the distribution is exponential. Since the number of service boot...

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