Customers arrive at a suburban ticket outlet in a Poisson fashion at the rate of 14 per hour on average. The time to serve each customer varies exponentially but takes an average of three minutes per customer. There is only a single ticket agent on duty.
A) What is the probability that an arriving customer has to wait for service?
B) What is the probability that there are no customers in the system?
C) What is the average number of customers in the queue?
D) What is the average number of customers in the system?
E) What is the average time (in hours) that a customer spends in the queue?
F) What is the average time a customer spends in the system?
G) What is the probability of having 4 customers in the system?
H) TRUE OR FALSE: In the EOQ model, the average inventory is Q/2, where Q is the order quantity.
I) TRUE OR FALSE: In the EOQ model, the time between placing orders is the lead time.
J) TRUE OR FALSE: One of the assumptions of the EPQ model is that shortages are not permitted.