Western National Bank has just opened a self-service window for customer service. Management estimates that customers arrive at the rate of 15 per hour, following a Poisson distribution. They are served on a first-come, first-served basis and come from a very large (almost infinite) population of potential buyers. The only teller who attends the window serves customers at the rate of one every three minutes, according to an exponential distribution. Due to the limited availability of space and the desire to provide an acceptable level of service, find the following operational characteristics of the bank's self-service queue system:

(1) use of the ATM

(2) average number of cars in the total system

(3) average number of cars waiting in line

(4) average total time spent in the system, including service time and wait time (per car)

(5) average waiting time in line (per car)

(6) probability of more than 3 cars in the system

Answer rating: 100% (QA)

To solve for the operational characteristics of the selfservice queue system we can use queuing theo... View the full answer