Question

**Problem 15-27 (Algorithmic)**

Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company's office can be described by a Poisson probability distribution with an arrival rate of one job per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 5.5 hours and a standard deviation of 2 hours. Answer the following questions, assuming that Gubser uses one welder to complete all jobs:

- What is the mean arrival rate in jobs per hour? If required,
round your answer to two decimal places.

________ per hour - What is the mean service rate in jobs per hour? If required,
round your answer to four decimal places.

_______ per hour - What is the average number of jobs waiting for service? If
required, round your answer to three decimal places.

_________ - What is the average time a job waits before the welder can
begin working on it? If required, round your answer to one decimal
place.

_____ hours - What is the average number of hours between when a job is
received and when it is completed? If required, round your answer
to one decimal place.

________ hours - What percentage of the time is Gubser's welder busy?

________% of the time the welder is busy.

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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 15-31 (Algorithmic)
Mid-West Publishing Company publishes college textbooks. The
company operates an 800 telephone number whereby potential adopters
can ask questions about forthcoming texts, request examination
copies of texts, and place orders. Currently, two extension lines
are used, with two representatives handling the telephone
inquiries. Calls occurring when both extension lines are being used
receive a busy signal; no waiting is allowed. Each representative
can accommodate an average of 9 calls per hour. The arrival rate is
17 calls...

The Robotics Manufacturing Company operates an equipment repair
business where emergency jobs arrive randomly at the rate of three
jobs per 8-hour day. The company's repair facility is a
single-server system operated by a repair technician. The service
time varies, with a mean repair time of 2 hours and a standard
deviation of 1.5 hours. The company's cost of the repair operation
is $28 per hour. In the economic analysis of the waiting line
system, Robotics uses $35 per hour...

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...

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...

Problem 11-31 (Algorithmic)
Mid-West Publishing Company publishes college textbooks. The
company operates an 800 telephone number whereby potential adopters
can ask questions about forthcoming texts, request examination
copies of texts, and place orders. Currently, two extension lines
are used, with two representatives handling the telephone
inquiries. Calls occurring when both extension lines are being used
receive a busy signal; no waiting is allowed. Each representative
can accommodate an average of 9 calls per hour. The arrival rate is
17 calls...

Speedy Oil provides a single-server automobile oil change and
lubrication service. Customers provide an arrival rate of 4 cars
per hour. The service rate is 5 cars per hour. Assume that arrivals
follow a Poisson probability distribution and that service times
follow an exponential probability distribution.
A) What is the average number of cars in the system? If
required, round your answer to two decimal places
L =
B) What is the average time that a car waits for the...

Problem 11-15
(Algorithmic)
Ocala Software Systems
operates a technical support center for its software customers. If
customers have installation or use problems with Ocala software
products, they may telephone the technical support center and
obtain free consultation. Currently, Ocala operates its support
center with one consultant. If the consultant is busy when a new
customer call arrives, the customer hears a recorded message
stating that all consultants are currently busy with other
customers. The customer is then asked to hold...

Problem 11-04 (Algorithmic)
Willow Brook National Bank operates a drive-up teller window
that allows customers to complete bank transactions without getting
out of their cars. On weekday mornings, arrivals to the drive-up
teller window occur at random, with an arrival rate of 24 customers
per hour or 0.4 customers per minute. Also assume that the service
times for the drive-up teller follow an exponential probability
distribution with a service rate of 36 customers per hour, or 0.6
customers per minute....

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