In a single server waiting line system with Poisson arrival and exponential service, the average number in the system will always be greater than the average number in the queue.

Question

Quizplus · Accepted Answer

In such a system, the average number in the system includes both the customer being served and those waiting in the queue. Since the customer being served is not counted in the average number in the queue, the average number in the system is always greater.

In a Single Server Waiting Line System with Poisson Arrival