In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. What is the expected number of customers in the system (L)? (Round your answer to 3 decimal places.)  What is the expected waiting time in the system (W)? (Express the waiting time in hours, round your answer to 3 decimal places.) What is the expected number of customers in the queue(Lq)? (Round your answer to 3 decimal places.) What is the expected waiting time in the queue(Wq)? (Express the waiting time in hours, round your answer to 3 decimal places.)

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/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour.

  1. What is the expected number of customers in the system (L)? (Round your answer to 3 decimal places.) 
  2. What is the expected waiting time in the system (W)? (Express the waiting time in hours, round your answer to 3 decimal places.)
  3. What is the expected number of customers in the queue(Lq)? (Round your answer to 3 decimal places.)
  4. What is the expected waiting time in the queue(Wq)? (Express the waiting time in hours, round your answer to 3 decimal places.)

 
 
 
 
 
 
 
 
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