There is only one copying machine in the student lounge of the business school. Students arrive at the rate of λ=50 per hour (according to a Poisson distribution). Copying takes an average of 50 seconds, or μ=72 per hour (according to a negative exponential distribution). a) The percentage of time the machine is used = percent (round your response to the nearest whole number). b) The average length of the queue = students (round your response to two decimal places). c) The average number of students in the system =
There is only one copying machine in the student lounge of the business school. Students arrive at the rate of λ=50 per hour (according to a Poisson distribution). Copying takes an average of 50 seconds, or μ=72 per hour (according to a negative exponential distribution). a) The percentage of time the machine is used = percent (round your response to the nearest whole number). b) The average length of the queue = students (round your response to two decimal places). c) The average number of students in the system =
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 27P
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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=50
per hour (according to a Poisson distribution). Copying takes an average of
50
seconds, or
μ=72
per hour (according to a negative exponential distribution).a) The percentage of time the machine is used =
percent (round your response to the nearest whole number).
b) The average length of the queue =
students (round your response to two decimal places).
c) The average number of students in the system =
students (round your response to two decimal places).
d) The average time spent waiting in the queue =
minutes (round your response to two decimal places).
e) The average time in the system =
minutes (round your response to two decimal places)
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