Service Analysis Quiz 1
Sales at the local ice cream shop are handled by one server. Customer arrivals are random (following a Poisson distribution) and the average arrival rate is 21 customers per hour. A study of the service process shows that the average service time is 2 minutes per customer, with a standard deviation of 1.2 minutes.
- What type of queuing system best describes this problem?
- What are the mean interarrival and service times? What are the standard deviations for the interarrival and service times? What are the coefficients of variation for these processes?
- Calculate the average waiting time in the ice cream shop.
- Suppose the average waiting costs for customers (both in line and while they are being served) is $5.00 per hour, and the wage rate for the clerk is $7.50 per hour. Should the owner hire another server? Explain your answer.