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In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 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 all answers to three decimals. a. What is the utilization? Utilization 0.714 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 (Ig)? Number of Customers(queue) e. What is the expected waiting time (in hours) in the queue (wg)? Waiting Time(queue)

In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 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 all answers to three decimals. a. What is the utilization? Utilization 0.714 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 (Ig)? Number of Customers(queue) e. What is the expected waiting time (in hours) in the queue (wg)? Waiting Time(queue)

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 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 all answers to three decimals. a. What is the utilization? Utilization 0.714 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 (¹g)? Number of Customers(queue) e. What is the expected waiting time (in hours) in the queue (wa)? Waiting Time(queue)
Transcribed Image Text:In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 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 all answers to three decimals. a. What is the utilization? Utilization 0.714 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 (¹g)? Number of Customers(queue) e. What is the expected waiting time (in hours) in the queue (wa)? Waiting Time(queue)
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