Question

**Problem 11-17 (Algorithmic)**

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 P_{0} values from Table 11.4 to
answer the questions below.

- What is the probability that the boat dock will be idle? Round
your answer to four decimal places.

*P*=_{0} - What is the average number of boats that will be waiting for
service? Round your answer to four decimal places.

*L*=_{q} - What is the average time a boat will spend waiting for service?
Round your answer to four decimal places.

*W*= hours_{q} - What is the average time a boat will spend at the dock? Round
your answer to four decimal places.

*W*= hours - If you were the manager of Fore and Aft Marina, would you be
satisfied with the service level your system will be
providing?

Why or why not? Round your answers to whole numbers.

Because the average wait time is seconds. Each channel is idle % of the time.

Answer #1

Problem 11-17 (Algorithmic)
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 8 boats per hour, and that
service times follow an exponential probability distribution, with
a service rate of 10 boats per hour. The manager...

Problem 11-17 (Algorithmic)
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 4 boats per hour, and that
service times follow an exponential probability distribution, with
a service rate of 5 boats per hour. The manager...

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...

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 12 boats per hour, and that
service times follow an exponential probability distribution, with
a service rate of 16 boats per hour. The manager of the Fore...

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 4 boats per hour, and that
service times follow an exponential probability distribution, with
a service rate of 8 boats per hour. The manager of the Fore...

Problem 15-9 (Algorithmic)
Marty's Barber Shop has one barber. Customers have an arrival
rate of 2.3 customers per hour, and haircuts are given with a
service rate of 4 per hour. Use the Poisson arrivals and
exponential service times model to answer the following
questions:
What is the probability that no units are in the system? If
required, round your answer to four decimal places.
P0 =
What is the probability that one customer is receiving a
haircut and no...

Problem 11-18 (Algorithmic)
All airplane passengers at the Lake City Regional Airport must
pass through a security screening area before proceeding to the
boarding area. The airport has three screening stations available,
and the facility manager must decide how many to have open at any
particular time. The service rate for processing passengers at each
screening station is 4.5 passengers per minute. On Monday morning
the arrival rate is 7.2 passengers per minute. Assume that
processing times at each screening...

Marty's Barber Shop has one barber. Customers have an arrival
rate of 2.3 customers per hour, and haircuts are given with a
service rate of 4 per hour. Use the Poisson arrivals and
exponential service times model to answer the following
questions:
What is the probability that no units are in the system? If
required, round your answer to four decimal places.
P0 = _____
What is the probability that one customer is receiving a haircut
and no one is...

Students arrive at the Administrative Services Office at an
average of one every 15 minutes, and their requests take on average
10 minutes to be processed. The service counter is staffed by only
one clerk, Judy Gumshoes, who works eight hours per day. Assume
Poisson arrivals and exponential service times.
a. What percentage of time is Judy idle?
(Round your answer to 1 decimal place.)
Percentage of time
%
b. How much time, on average, does a student spend
waiting...

Problem 11-19 (Algorithmic)
All airplane passengers at the Lake City Regional Airport must
pass through a security screening area before proceeding to the
boarding area. The airport has three screening stations available,
and the facility manager must decide how many to have open at any
particular time. The service rate for processing passengers at each
screening station is 3 passengers per minute. On Monday morning the
arrival rate is 5.6 passengers per minute. Assume that processing
times at each screening...

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