Please do not give solution in image format thanku There is only one copying machine in the student lounge of the business school. Students arrive at the rate of λ = 50per hour (according to a Poisson distribution). Copying takes an average of 50 seconds, or u=72 per hour (according to a negative exponential distribution).a) The percentage of time the machine is used 69 percent (round your response to the nearest whole number).Mb) The average length of the queue 1.58 students (round your response to two decimal places).c) The average number of students in the system = 2.27 students (round your response to two decimal places).d) The average time spent waiting in the queue 1.9 minutes (round your response to two decimal places).e) The average time in the system minutes (round your response to two decimal places).M

Arrival rate = 50 per hourService rate = 72 per hour

Answered: copying machine in the student lounge…

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 40 seconds, or μ=90 per hour (according to a negative exponential distribution). If the percentage of time used is 44% and the average length of the queue is 35 students and the average number is 80 then what is the average time spent waiting in the queue and the average time in the system (round your response to two decimal points).
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 = 0.5percent (round your response to the nearest whole number). b) The average length of the queue = 0.50students (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 hereminutes (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=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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