Question

A single-channel queuing system has an average service time of eight minutes and an average time between arrivals of 10 minutes. The arrival rate is: Group of answer choices 10 per hour. 12.5 per hour. 6 per hour. 7.5 per hour. 8 per hour.

Answer 1

The correct answer is B. 6 per hour

Step-by-step explanation:

The term "arrival rate" refers to the number of customers that arrive at a business during a specific time such as an hour or a day. This is determined by how often customers arrive or the time between arrivals. This concept complements the service rate, which refers to the customers that receive a service during a period of time.

In the case presented, it is known the time between arrivals is 10 minutes, this means it is expected every 10 minutes a new customer arrives. Based on this, each hour the business can expect a total of 6 customers as 60 minutes divided by 10 (time between arrivals) = 6 customers. Thus, the rate of arrival is 6 per hour.