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If the service rate is 108 and the arrival rate is 68, what is the average wait time in minutes?

User Leverin
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1 Answer

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Final answer:

To calculate the average wait time, we typically need the arrival rate to be less than the service rate. As the question provides a service rate of 108 and an arrival rate of 68, which does not follow this condition, we cannot accurately compute the average wait time without further information.

Step-by-step explanation:

To find the average wait time in minutes when the service rate is 108 and the arrival rate is 68, we can use the formulas from queuing theory. The average wait time is directly related to both the service rate (λ, lambda) and the arrival rate (μ, mu) following the formula W = λ / (μ(μ - λ)) when λ < μ. However, the values given in the question 108 and 68 do not match the typical situation because the service rate should be higher than the arrival rate for a stable system. Therefore, this situation either involves a queue that is growing over time, or the rates might have been mistakenly reversed. Without the correct context or additional information, calculating a meaningful average wait time is not feasible. We need to clarify whether the provided rates are correct or if additional information is available.

User AmBear
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