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

Question

Quizplus · Accepted Answer

In a single server queue with Poisson arrivals and exponential service times (M/M/1 queue), the average waiting time in the system includes both the time spent waiting in the queue and the time spent being served. Therefore, the average waiting time in the system is always greater than or equal to the average waiting time in the queue.

In a Single Server Waiting Line System with Poisson Arrival