Each Entering Customer Must Be Served First By Server 1 Then By Server 2 And Finally 2286205

Each entering customer must be served first by server 1, then by server 2, and finally by server 3. The amount of time it takes to be served by server i in an exponential random variable with rate ui (mu of i), i=1,2,3. Suppose you enter the system when it contains a single customer who is being served by server 3.
1) Find the expected amount of time you spend in the system. (Whenever you encounter a busy server, you wait for the service in progress to end before you can enter service)2) Suppose that you enter the system when it contains a single customer who is being served by server 2. Find the expected amount of time that you spend in the system.

Prof. Angela

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