Changes for customers to get in and out of garage quickly

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An automobile service center offers quick oil changes for customers to get in and out of the garage quickly. The oil change service operates one service bay that can serve one car at a time and is open 8 hours per day. The owner of the service center would like to know how well the garage is operating. After collecting some data, it appears customers arrive at a rate of 10 per hour, and the distribution is approximately Poisson. Oil change service times are 5 minutes per car, distributed exponentially. Assume all customers are served on a first come, first served basis. Before a holiday weekend, the arrival of automobiles increases to 11 per hour on the average.

How many cars are expected in line, on average, with this new arrival rate?

Reference no: EM132176180

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