. A manager must determine requirements for waiting space for customers. A priority system isused to process customers, who are assigned to one of two classes when they enter the processingcenter. The highest-priority class has an arrival rate of four per hour; the other class has an arrivalrate of two per hour. Both can be described as Poisson-distributed. There are two servers, andeach can process customers in an average of 15 minutes.a. What is the system utilization?b. Determine the number of customers of each class that are waiting for service.c. Determine the average waiting time for each class.d. If the manager could alter the assignment rules so that arrival rates of the two classes wereboth 3/hour, what would be the revised average waiting time for each priority class?

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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. A manager must determine requirements for waiting space for customers. A priority system is
used to process customers, who are assigned to one of two classes when they enter the processing
center. The highest-priority class has an arrival rate of four per hour; the other class has an arrival
rate of two per hour. Both can be described as Poisson-distributed. There are two servers, and
each can process customers in an average of 15 minutes.
a. What is the system utilization?
b. Determine the number of customers of each class that are waiting for service.
c. Determine the average waiting time for each class.
d. If the manager could alter the assignment rules so that arrival rates of the two classes were
both 3/hour, what would be the revised average waiting time for each priority class?

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