Given the following Operating Characteristics from a queuing model with time units specified in hours, answer the five questions: Po          = 0.4000 Lq          = 0.9000 L             = 1.5000 Wq        = 0.2000 W           = 0.3000 Pw         = 0.6000 What is the average time, in minutes, a customer waits in line before being served? What is the average time, in minutes, a customer spends waiting and being served? What is the average number of customers in the system? What is the probability that there are no customers in the system? If the system serves a customer every 4 minutes, what is the service rate?

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 27P
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Given the following Operating Characteristics from a queuing model with time units specified in hours, answer the five questions:

Po          = 0.4000

Lq          = 0.9000

L             = 1.5000

Wq        = 0.2000

W           = 0.3000

Pw         = 0.6000

  1. What is the average time, in minutes, a customer waits in line before being served?
  2. What is the average time, in minutes, a customer spends waiting and being served?
  3. What is the average number of customers in the system?
  4. What is the probability that there are no customers in the system?
  5. If the system serves a customer every 4 minutes, what is the service rate?
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ISBN:
9781337406659
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