Question

For Practice Only:

The new Fore and Aft Marina is to be located on the Ohio River near Madison, Indiana. Assume that fore and Aft decides 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 15 boats per hour, and that service times follow an exponential probability distribution, with a service rate of 25 boats per hour. The manager of the Fore and Aft Marina wants to investigate the possibility of enlarging the docking facility so that two boats can stop for gas and servicing simultaneously. Note: Use Po values from Table 11.4 to answer the questions below. a. What is the probability that the boat dock will be idle? Round your answer to four decimal places. Po = 0.5385 b. What is the average number of boats that will be waiting for service? Round your answer to four decimal places. La = 0.0593 c. What is the average time a boat will spend waiting for service? Round your answer to four decimal places. Wa = hours d. What is the average time a boat will spend at the dock? Round your answer to four decimal places. W = 0.0440 hours e. If you were the manager of Fore and Aft Marina, would you be satisfied with the service level your system will be providing? Yes Why or why not? Round your answers to whole numbers. Because the average wait time is 14 seconds. Each channel is idle 54 % of the time.

Answer 1

solution Given x=15 boats/how u=25 boats / hou. .K=2 © wq = hq 30.0593 15 = 0.0039533 = 0.00395 -0.0040 hours (round to four decimals.