A queuing process is modeled as a birth-and-death process with mean arrival rates 0 = 2, 1 = 4, 2 = 3, 3 = 1,

A queuing process is modeled as a birth-and-death process with mean arrival rates

λ0 = 2, λ1 = 4, λ2 = 3, λ3 = 1, λn = 0 for n > 3 and mean service rates μ1 = 2, μ2 = 4, μ3 = 1,

μ4 = 1, and μn = 0 otherwise.

a. Construct a rate diagram.

b. Develop the balance equations and solve them to obtain Pn, n ≥ 0.

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