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). a) The percentage of time the machine is used = 4444 percent (round your response to the nearest whole number). The average length of the queue = 35.35 students (round your response to two decimal places).The average number of students in the system = 0.80 students (round your response to two decimal places).The average time spent waiting in the queue = 0.53minutes (round your response to two decimal places). The average time in the system = 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 40 seconds, or μ=90 per hour (according to a negative exponential distribution). a) The percentage of time the machine is used = 4444 percent (round your response to the nearest whole number). The average length of the queue = 35.35 students (round your response to two decimal places).The average number of students in the system = 0.80 students (round your response to two decimal places).The average time spent waiting in the queue = 0.53minutes (round your response to two decimal places). The average time in the system = 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 26P

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