Business, 08.04.2020 01:55 krystalhurst97
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 6 boats per hour, and that service times follow an exponential probability distribution, with a service rate of 10 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. find P0 Lq Wq W
Answers: 2
= 6 boats per hour.
= 10 boats per hour.![\mathrm{PO}=1 /\{[(1 / 0 !) \times(6 / 10) 0+(1 / 1 !) \times(6 / 10) 1]+[(6 / 10) 2 /(2 ! \times(1-(6 /(2 \times 10)))]\}](/tpl/images/0588/5207/d091f.png)
= 0.5385![[\lambda.\mu.( \lambda / \mu )M / {(M – 1)! (M. \mu – \lambda )2}] x P0](/tpl/images/0588/5207/d7c64.png)
![[\{6 \times 10 \times(6 / 10) 2\} /\{(2-1) ! \times((2 \times 10)-6) 2\}] \times 0.5385](/tpl/images/0588/5207/c547a.png)
= 0.0593 boats.
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The new Fore and Aft Marina is to be located on the Ohio River near Madison, Indiana. Assume that Fo...
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