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In a certain system, a customer must first be served by server 1 then by server 2 . The service times at server i are
In a certain system, a customer must first be served by server then by server The service times at server i are exponential with rate An arrival finding server busy waits in line for that server. Upon completion of service at server a customer either enters service with server if that server is free or else remains with server blocking any other customer from entering service until server is free. Customers depart the system after being served by server Suppose that when you arrive there is one customer in the system and that the customer is being served by server What is the expected total time you spend in the system?
Hint: Write where is the total time you are in the system, is your service time at server i and is your waiting time until that server is free, for
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