PROBLEM : WAITING LINE MODELS
The Grand Movie Theater has one box office clerk. For the theater's normal offerings, customers arrive at the average rate of 3 per minute. On the average, each customer who comes to see a movie can be sold a ticket at the rate of 6 per minute. Assume arrivals follow the Poisson probability distribution (see page 683) and service times follow exponential probability distribution (see page 684).
REQUIRED:
1. What is the probability that no customers are in the system?
2. What is the average number of customers waiting in line?
3. What is the average time a customer spends in the waiting line?
4. Do the operating characteristics indicate that the one-clerk system provides an acceptable level of service? Explain.