All infinite-source queuing models require the system utilization to be less than 1.0.

Question

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In infinite-source queuing models, the system utilization (ρ) must be less than 1.0 to ensure that the queue does not grow indefinitely and the system can reach a steady state. If ρ ≥ 1, it implies that the arrival rate is equal to or greater than the service rate, leading to an unsustainable situation where the queue length tends to infinity over time.

All Infinite-Source Queuing Models Require the System Utilization to Be