In an M/MA queueing system, the arrival rate is 3 customers per hour and the service rate is 6 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? Note: Round your answers to 3 decimal places. a. What is the utilization? Utilization Answer is complete and correct. 0.500 b. What is the expected number of customers in the system (L)? Answer is complete but not entirely correct. Number of customers 1.000X c. What is the expected waiting time (in hours) for the system (W)? Answer is complete but not entirely correct. Waiting time (in hours) 0.333 X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 51E
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Wk Qu. 13-04 In an M/M/1 queueing system...
In an M/MA queueing system, the arrival rate is 3 customers per hour and the service rate is 6 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?
Note: Round your answers to 3 decimal places.
a. What is the utilization?
Utilization
Answer is complete and correct.
0.500
b. What is the expected number of customers in the system (L)?
> Answer is complete but not entirely correct.
Number of customers
1.000
c. What is the expected waiting time (in hours) for the system (W)?
Answer is complete but not entirely correct.
Waiting time(in hours)
0.333 x
Transcribed Image Text:Wk Qu. 13-04 In an M/M/1 queueing system... In an M/MA queueing system, the arrival rate is 3 customers per hour and the service rate is 6 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? Note: Round your answers to 3 decimal places. a. What is the utilization? Utilization Answer is complete and correct. 0.500 b. What is the expected number of customers in the system (L)? > Answer is complete but not entirely correct. Number of customers 1.000 c. What is the expected waiting time (in hours) for the system (W)? Answer is complete but not entirely correct. Waiting time(in hours) 0.333 x
Waiting time (in hours)
0.333
d. What is the expected number of customers in the queue (La)?
Answer is complete but not entirely correct.
Number of customers(queue)
0.500
e. What is the expected waiting time (in hours) in the queue (Wq)?
Answer is complete but not entirely correct.
Waiting time(queue)
0.167 X
Transcribed Image Text:Waiting time (in hours) 0.333 d. What is the expected number of customers in the queue (La)? Answer is complete but not entirely correct. Number of customers(queue) 0.500 e. What is the expected waiting time (in hours) in the queue (Wq)? Answer is complete but not entirely correct. Waiting time(queue) 0.167 X
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