What is being implied is that you start with a finite queue size and there is a random poisson process at the rate of t adding items to the queue. Intuitively,

What is being implied is that you start with a finite queue size and there is a random poisson process at the rate of t adding items to the queue. Intuitively, you would expect the queue size to be finite and stable. When you simulate this, more often than not, the queue tends to grow to infinity. In practice, it means that your team will burn out much faster.