In the queuing systems with Poisson arrival and exponential service (single or multi-channel), the average time in the system is equal to sum of the average time in waiting line and average service time.

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Quizplus · Accepted Answer

In queuing theory, specifically for systems with Poisson arrivals and exponential service times (M/M/1 or M/M/c), the average time a customer spends in the system (T) is indeed the sum of the average time a customer spends waiting in line (W) and the average service time (S). This is because T accounts for the entire duration a customer is in the system, which includes both waiting for service and the actual service time.

In the Queuing Systems with Poisson Arrival and Exponential Service