Question: The mean service and arrival rates for a birth-and-death process describing a queuing system with two parallel servers are given in Table.
a. Construct the corresponding rate diagram.
b. Develop the balance equations and solve them to determine the stationary probabilities for finding n customers in the system Pn, n = 0, 1, 2, 3, 4, ....
c. Determine the expected number of customers in the system, L, and in the queue, Lq, as well as the expected time spent in the system, W, and in the queue, Wq.
d. Identify the type of queuing model that corresponds to this birth-and-death process. Use the formulas derived for this queuing model to calculate Pn, n = 0, 1, 2, 3, 4, ..., L, Lq, W, Wq.
