Stationary distribution of an M-M-1 queue
= Stationary distribution of an M-M-1 queue
When $\rho<1$, the equilibrium queue length has distribution $\pi_n=(1-\rho)\rho^n$ and mean $\rho/(1-\rho)$.
= Stationary distribution of an M-M-1 queue
When $\rho<1$, the equilibrium queue length has distribution $\pi_n=(1-\rho)\rho^n$ and mean $\rho/(1-\rho)$.