What is the utilization of the help desk?

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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In the library, students arrive randomly at the help desk, which is staffed by 4 employees (all of them answer inquiries from students). The time required for inquiry varies from student to student. Arrivals have been found to follow a Poisson process (i.e., exponentially distributed inter-arrival times), and the service times follow an exponential distribution. The average arrival rate is 12 students per hour, and the average service rate is 13 students per hour. What is the utilization of the help desk?

Note: 1. Provide your answer as a percentage, but do not include the % mark.

2. Keep two decimal places. For example, if your result is 35.126%, enter 35.13.

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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,