In queuing systems with variable arrival and service rate model with $\lambda / \mu

Name: In queuing systems with variable arrival and service rate model with $\lambda / \mu<1.0$, the average waiting time in the system increases rapidly as $\lambda / \mu$ approaches 1.0.
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Question

In queuing systems with variable arrival and service rate model with $\lambda / \mu<1.0$, the average waiting time in the system increases rapidly as $\lambda / \mu$ approaches 1.0.

Quizplus · Accepted Answer

As $\lambda / \mu$ approaches 1.0, the system approaches its capacity to handle arrivals, leading to longer queues and thus, the average waiting time in the system increases rapidly.

In Queuing Systems with Variable Arrival and Service Rate Model λ/μ<1.0\lambda / \mu<1.0λ/μ<1.0

In Queuing Systems with Variable Arrival and Service Rate Model $\lambda / \mu<1.0$