Consider the M/M/s model. For each of the following two cases, generate a data table that gives the values of L, Lq, W, Wq, and P{W > 5} for the following mean arrival rates: 0.5, 0.9, and 0.99 customers per minute.

a. Suppose there is one server and the expected service time is one minute. Compare L for the cases where the mean arrival rate is 0.5, 0.9, and 0.99 customers per minute, respectively. Do the same for Lq, W, Wq, and P{w > 5}. What conclusions do you draw about the impact of increasing the utilization factor r from small values (e.g., r = 0.5) to fairly large values (e.g., r = 0.9) and then to even larger values very close to 1 (e.g., r = 0.99)?

b. Now suppose there are two servers and the expected service time is two minutes. Follow the instructions for part a.