In this graph, I show the relationship between the implied utilization and

the probability that all servers are utilized.

Let me emphasize why I plot the implied utilization here

compared to the utilization, which is what we drew in the graph

where we looked at how TQ was increasing with utilization.

Remember that in the TQ model, the assumption was that u was less than 100%.

For an implied utilization over 100%, if I have the situation where

demand exceeds capacity, the line here would just go through the roof.

This is not a matter of variability, this is a matter of insufficient capacity.

Things are different in this type of model we're discussing right now.

Here, if I have demand exceeding capacity, the system simply clears up itself.

It just drops customers from the system, these customers get lost.

Even in a situation where I have 50% more demand than I have capacity,

I actually will observe an occasional idle time at the resource.