Question

people arrive to a service center at the rate of 516 per day. the service center is opened 12 hours per day. the average service time for a person averages 3.75 minutes. assume that all m/m/s assumptions apply and 4 servers are used. what is the value of mu (average service rate) if the units are in minutes?

Answer 1

Therefore, the value of mu is 12.24.

Explanation:

The average service rate, mu, is the number of people that can be served per minute. In this case, the service center is open for 12 hours per day, and the average service time is 3.75 minutes. This means that the service center can serve 12 * 60 / 3.75 = 184 people per hour, or 3.06 people per minute.

Since there are 4 servers, the total service rate is 4 * 3.06 = 12.24 people per minute.