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 five jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 1.3 hours and a standard deviation of 1 hour. Answer the following questions, assuming that Gubser uses one welder to complete all jobs: 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. fill in the blank 4 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. fill in the blank 5 hours What percentage of the time is Gubser's welder busy? fill in the blank 6% 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 five jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 1.3 hours and a standard deviation of 1 hour. Answer the following questions, assuming that Gubser uses one welder to complete all jobs: 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. fill in the blank 4 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. fill in the blank 5 hours What percentage of the time is Gubser's welder busy? fill in the blank 6% 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 26P
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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 five jobs per 8-hour day. The time required to complete the jobs follows a
- 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.
fill in the blank 4 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.
fill in the blank 5 hours - What percentage of the time is Gubser's welder busy?
fill in the blank 6% of the time the welder is busy.
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