ive typed explanation not a single word hand written otherwise leave it  Students arrive at the Administrative Services Office at an average of one every 14 minutes, and their requests take, on average, 8 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times.   a. What is the utilization rate?   b. The average number of students in line.   c. The average time of waiting in line.

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
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Give typed explanation not a single word hand written otherwise leave it 

Students arrive at the Administrative Services Office at an average of one every 14 minutes, and their requests take, on average, 8 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times.

 

a. What is the utilization rate?

 

b. The average number of students in line.

 

c. The average time of waiting in line.

 

Show work please

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