There is only one copying machine in the student lounge of the business school. Students arrive at the rate of λ=40 per hour (according to a Poisson distribution). Copying takes an average of 45 seconds, or μ=80 per hour (according to a negative exponential distribution). a) The percentage of time the machine is used = 0.5 percent (round your response to the nearest whole number). b) The average length of the queue = 0.50 students (round your response to two decimal places). c) The average number of students in the system = 1 students (round your response to two decimal places). d) The average time spent waiting in the queue = ??? enter your response here minutes (round your response to two decimal places).
There is only one copying machine in the student lounge of the business school. Students arrive at the rate of λ=40 per hour (according to a Poisson distribution). Copying takes an average of 45 seconds, or μ=80 per hour (according to a negative exponential distribution). a) The percentage of time the machine is used = 0.5 percent (round your response to the nearest whole number). b) The average length of the queue = 0.50 students (round your response to two decimal places). c) The average number of students in the system = 1 students (round your response to two decimal places). d) The average time spent waiting in the queue = ??? enter your response here minutes (round your response to two decimal places).
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 9P
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There is only one copying machine in the student lounge of the business school. Students arrive at the rate of λ=40 per hour (according to a Poisson distribution). Copying takes an average of 45 seconds, or μ=80 per hour (according to a negative exponential distribution).
a) The percentage of time the machine is used = 0.5
percent (round your response to the nearest whole number).
percent (round your response to the nearest whole number).
b) The average length of the queue = 0.50
students (round your response to two decimal places).
students (round your response to two decimal places).
c) The average number of students in the system = 1
students (round your response to two decimal places).
d) The average time spent waiting in the queue = ???
enter your response here
minutes (round your response to two decimal places).
minutes (round your response to two decimal places).
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