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 four jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 1.4 hours and a standard deviation of 1 hour. Answer the following questions, assuming that Gubser uses one welder to complete all jobs: a. W d. What is the average time a job waits before the welder can begin working on it? If required, round your answer to one deamal place. ces hours e. 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 f. What percentage of the time is Gubser's welder busy? %% of the time the welder is busy.
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 four jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 1.4 hours and a standard deviation of 1 hour. Answer the following questions, assuming that Gubser uses one welder to complete all jobs: a. W d. What is the average time a job waits before the welder can begin working on it? If required, round your answer to one deamal place. ces hours e. 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 f. What percentage of the time is Gubser's welder busy? %% of the time the welder is busy.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 11P
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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 four jobs per 8-hour day. The time required to
complete the jobs follows a normal probability distribution, with a mean time of 1.4 hours and a standard deviation of 1 hour. Answer the following questions, assuming that Gubser uses one welder to complete all jobs:
a. W
d. 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
places.
e. 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
f. What percentage of the time is Gubser's welder busy?
of the time the welder is busy.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdfd56cfb-7bfc-4b10-8703-50c36abb0228%2F111e5260-db80-4ed6-a2cf-7304aafdb821%2Fqvwwxx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:eBook
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 four jobs per 8-hour day. The time required to
complete the jobs follows a normal probability distribution, with a mean time of 1.4 hours and a standard deviation of 1 hour. Answer the following questions, assuming that Gubser uses one welder to complete all jobs:
a. W
d. 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
places.
e. 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
f. What percentage of the time is Gubser's welder busy?
of the time the welder is busy.
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