In a single-channel system, the utilization is equal to the arrival rate divided by the service rate.

Question

Quizplus · Accepted Answer

This statement is true. Utilization represents the percentage of time that the server (or system) is busy. In a single-channel system, there is only one server and one queue, which means that customers must wait in line to receive service. The utilization (U) of the server is equal to the arrival rate (λ) divided by the service rate (μ): U = λ/μ. This equation shows the relationship between the rate at which customers arrive at the system and the rate at which they are served, which determines the load on the system. If U is greater than 1, then the system is overloaded, which means that the server cannot keep up with the demand and the queue will grow without bound. If U is less than 1, then the system is underloaded, which means that the server is idle for some of the time and there is no waiting in the queue.

In a Single-Channel System, the Utilization Is Equal to the Arrival