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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? What is the utilization?   What is the expected number of customers in the system (L)?   What is the expected waiting time (in hours) for the system (W)?

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? What is the utilization?   What is the expected number of customers in the system (L)?   What is the expected waiting time (in hours) for the system (W)?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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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?

  1. What is the utilization?

     

  2. What is the expected number of customers in the system (L)?

     

  3. What is the expected waiting time (in hours) for the system (W)?

     

  4. What is the expected number of customers in the queue (Lq)?

     

  5. What is the expected waiting time (in hours) in the queue (Wq)?

     
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