Question

Hello! I would like to understand better the Question: Customers arrive at a service station, manned by a single server who serves at an exponential rate µ1 , at a Poisson rate ? . After completion of service the customer then joins a second system where the server serves at an exponential rate µ2 . Such a system is called a tandem or sequential queueing system. Assuming that ? < µi , i = 1,2 , determine the limiting probabilities. Hint:Try a solution of the form P =C(a^n)(ß^m) , and determine C,a, ß.

I understood until the line: "solving the above equations, we get".....I didnt get how he found P(having n at server 1) or the similar one to server 2, If you help me with this little part, I will be able to go on. Thank you!

Answer 1