A system has one service facility that can service 10 customers per hour. The customers arrive at an average rate of 6 per hour. In this case, no waiting line will form.

Question

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Given the service rate is higher than the arrival rate (10 customers per hour service rate vs. 6 customers per hour arrival rate), it might seem no queue will form. However, the formation of a waiting line also depends on the variability of the arrival and service processes. Even if the average service rate is higher, queues can still form during periods when arrivals are temporarily higher than average or service times are longer than average.

A System Has One Service Facility That Can Service 10