Question: A queuing process is modeled as a birth-and-death process with mean arrival rates Ao = 2, A) = 4, ~ = 3, .1..3 = 1,

A queuing process is modeled as a birth-and-death process with mean arrival rates Ao = 2, A) = 4, ~ = 3, .1..3 = 1, and Ii" = 0 for n > 3 and mean service rates ILl = 2, J.L2 = 4, IL3 = 1, IL4 = 1 and ILn = 0 otherwise.

a. Construct a rate diagram.

b. Develop the balance equations and solve them to obtain Pn , n ~ O.

c. Determine L, Lq, W, and Wq assuming the queuing process has two parallel servers.

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