a. What is the utilization? Utilization b. What is the expected number of customers in the system (L)? Number of customers c. What is the expected waiting time (in hours) for the system (W)? Waiting time(in hours)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.4: Important Queueing Relationships
Problem 6P
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In an M/MA queueing system, the arrival rate is 3 customers per hour and the service rate is 5 customers per hour. If the service
process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance
measurements? (Round your answers to 3 decimal places.)
a. What is the utilization?
Utilization
b. What is the expected number of customers in the system (L)?
Number of customers
c. What is the expected waiting time (in hours) for the system (W)?
Waiting time(in hours)
Transcribed Image Text:In an M/MA queueing system, the arrival rate is 3 customers per hour and the service rate is 5 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? (Round your answers to 3 decimal places.) a. What is the utilization? Utilization b. What is the expected number of customers in the system (L)? Number of customers c. What is the expected waiting time (in hours) for the system (W)? Waiting time(in hours)
d. What is the expected number of customers in the queue (Lg)?
Number of customers(queue)
e. What is the expected waiting time (in hours) in the queue (Wq)?
Waiting time(queue)
Transcribed Image Text:d. What is the expected number of customers in the queue (Lg)? Number of customers(queue) e. What is the expected waiting time (in hours) in the queue (Wq)? Waiting time(queue)
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