Assignment:
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.
Provide complete and step by step solution for the question and show calculations and use formulas.