I have been trying to wrap my head around an M/M/s queue problem but I can't seem to understand what's going on.
The problem is queuing at a gas station and I have done some research about the M/M/s queue model but can't seem to figure out how it works.
Here is what I know:
Expected vehicles in 1 hour is 70
Average service rate of 13.6 vehicles per hour per fueling position
10 fueling positions
So this tells me:
$\lambda$ = 70
$\mu$ = 13.6
$c$ = 10
I know how to get $P_0$ and $P_n$ but how do I solve for average customers in system, average customers in queue, average time spent in system, average time waiting in line?