If we base on the Steady-state Behavior of Infinite-Population Markovian Models.

Based on calling population,the infinite population model stayes that if arrival rate is not affected by the number of customers being served and waiting, e.g., systems with large population of potential customers.Based on the arrival process at least one customer is assumed to always be present, so the server is never idle, e.g., sufficient raw material for a machine. For planning purposes it is pretended that the simultaneous logged in users is infinite.

NOQ- The results assume a stable system with infinite calling population and no limit on system capacity, provided that no customers are created or destroyed in the queue, then the departure rate out of a queue is the same as the arrival rate into the queue, over the long run. However, if customers arrive to queue i at rate λi, and a fraction 0 ≤ pij ≤ 1 of them are routed to queue j upon departure, then the arrival rate from queue i to queue j is λj = λi pij over the long run.