So I'm having a hard time understanding intuitively why the bottom queuing model behaves the way it does
The arrival rate of both systems is exponentially distributed with a rate of 3 customers per minute
$\text{Model 1:}$ $$M/M/1 \text{ , serving time} \sim Ex(4)$$ 4 as in 4 customers per minute.
$\text{Model 2:}$ $$M/M/2 \text{ , serving times for both are }\sim Ex(2)$$
In other words, the 2 servers in Model 2 are as efficient as the 1 server in Model 1.
So the wait time for the arriving customer is $1$ minute in Model 1 vs $1.22$ minutes in Model 2.
The wait time in the queue is $.75$ minutes in Model 1 vs $.72$ minutes for Model 2.
I can do the math behind it, but I have no idea why logically it works this way