The new Fore and Aft Marina are to be located on the Ohio River
near Madison, Indiana. Assume that Fore and Aft decide to build a
docking facility where one boat at a time can stop for gas and
servicing. Assume that arrivals follow a Poisson probability
distribution, with an arrival rate of 5 boats per hour, and that
service times follow an exponential probability distribution, with
a service rate of 10 boats per hour. Answer the following
questions:
What is the probability that no boats are in the system?
What is the average number of boats that will be waiting for
service?
What is the average time a boat will spend waiting for
service?
What is the average time a boat will spend at the dock?