Customers arrive at a single-server station with Poisson rate $\lambda$. A customer enters the bank if the server is available; otherwise, the customer leaves. The service times of successive customers are independent and have a common distribution $G$ and mean $\mu$. What is the rate at which the customer enters the system?
I am unable to figure out the answer. I assume that renewal reward process is to be applied here with regeneration happening at every service completion. Could anyone please help. Thanks in advance!