In an M/M/1 queueing system, the arrival rate is 8 customers per hour and the service rate is 11 customers per hour. (Round your answers to 3 decimal places.) What is the probability that the server will be idle? What is the probability of having exactly 4 customers in the system? What is the probability of having 3 or fewer customers in the system?

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/M/1 queueing system, the arrival rate is 8 customers per hour and the service rate is 11 customers per hour. (Round your answers to 3 decimal places.)

  1. What is the probability that the server will be idle?
  2. What is the probability of having exactly 4 customers in the system?
  3. What is the probability of having 3 or fewer customers in the system?
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
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Cengage,