I have this very complicated problem. Can you help me, please!
In the bank you can be served by server 1 or servwer 2.
The service time from the server i is exponent with rate Mu_i
When you arrive at the bank you wait for the server 1 even if he is busy.
After you finish with server 1 you are going to server 2 if that server is free.
If server 2 is not free you are waiting at server 1 until server 2 is free/
Suppose when you arrive there is 1 customer in the bank and he is served by server 1.
What is the expected total time you spend in the system?
Thank you for your help!