Question

A company is concerned about the number of customers who have to wait for service in its customer service department. Assume the rate at which customers are serviced is 10 customers per hour. A customer arrives on average every 2-1/2 minutes. The Department has 3 Customer Service Specialists. What is the average time waiting (in minutes) in line?

Answer 1

Answer:

6,472 minutes / 0.107866 hours

Explanation:

Arrival rate per hour = 60 / 2.5

Arrival rate per hour = 24 per hour

Service rate per hour = 10

Utilization rho = 24/10

Utilization rho = 2.4

Number of waiting customers for rho =2.4 and 3 servers is Lq = 2.5888

Waiting time in line = Lq / lambda = 2.5888 / 24

Waiting time in line = 0.107866 hours

Waiting time in line (minute) = 0.107866 * 60

Waiting time in line = 6,472 minutes