In an M/MA queueing system, the arrival rate is 7 customers per hour and the service rate is 12 customers per hour. O. What is the utilization? (Round your answer to 3 decimal places.) Ultilzation 0583 b. What is the expected number of customers in the system (4)? (Round your answer to 3 decimal places.) Expected number of customers 14 c. What is the expected waiting time in the system (W? (Express the woiting time in hours, round your answer to 3 decimal places.) Expected waitng time 02 d. What is the expected number of customers in the queue(ta)? (Round your answer to 3 decimal places.) Expected number of customers

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 an M/MA queueing system, the arrival rate is 7 customers per hour and the service rate is 12 customers per hour.
O. What is the utilization? (Round your answer to 3 decimal places.)
Ultilzation
0583
b. What is the expected number of customers in the system (4)? (Round your answer to 3 decimal places.)
Expected number of customers
14
c. What is the expected waiting time in the system (W? (Express the woiting time in hours, round your answer to 3 decimal places.)
Expected waitng time
02
d. What is the expected number of customers in the queue(ta)? (Round your answer to 3 decimal places.)
Expected number of customers
e. What is the expected waiting time in the queue(a)? (Express the waiting time in hours, round your answer to 3 decimal places.)
Expected watng time
Transcribed Image Text:In an M/MA queueing system, the arrival rate is 7 customers per hour and the service rate is 12 customers per hour. O. What is the utilization? (Round your answer to 3 decimal places.) Ultilzation 0583 b. What is the expected number of customers in the system (4)? (Round your answer to 3 decimal places.) Expected number of customers 14 c. What is the expected waiting time in the system (W? (Express the woiting time in hours, round your answer to 3 decimal places.) Expected waitng time 02 d. What is the expected number of customers in the queue(ta)? (Round your answer to 3 decimal places.) Expected number of customers e. What is the expected waiting time in the queue(a)? (Express the waiting time in hours, round your answer to 3 decimal places.) Expected watng time
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