3. Five administrative assistants use an office copier. The average time between arrivals for each assistant is 40 minutes, which is equivalent to an arrival rate of 1/40 = 0.025 arrival per minute. The mean time each assistant spends at the copier is 5 minutes, which is equivalent to a service rate of ½ = 0.20 per minute. Use the M/M/1 model with a finite calling population to determine the following: a. The probability that the copier is idle b. The average number of administrative assistants in the waiting line c. The average number of administrative assistants at the copier d. The average time an assistant spends waiting for the copier e. The average time an assistant spends at the copier

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Please answer the attached Queuing Model problem solving. Thanks

3. Five administrative assistants use an office copier. The average time between arrivals for
each assistant is 40 minutes, which is equivalent to an arrival rate of 1/40 = 0.025 arrival
per minute. The mean time each assistant spends at the copier is 5 minutes, which is equivalent to a
service rate of ½ = 0.20 per minute. Use the M/M/1 model with a finite calling
population to determine the following:
a. The probability that the copier is idle
b. The average number of administrative assistants in the waiting line
c. The average number of administrative assistants at the copier
d. The average time an assistant spends waiting for the copier
e. The average time an assistant spends at the copier
Transcribed Image Text:3. Five administrative assistants use an office copier. The average time between arrivals for each assistant is 40 minutes, which is equivalent to an arrival rate of 1/40 = 0.025 arrival per minute. The mean time each assistant spends at the copier is 5 minutes, which is equivalent to a service rate of ½ = 0.20 per minute. Use the M/M/1 model with a finite calling population to determine the following: a. The probability that the copier is idle b. The average number of administrative assistants in the waiting line c. The average number of administrative assistants at the copier d. The average time an assistant spends waiting for the copier e. The average time an assistant spends at the copier
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