Suppose that you observe a sequence of inter-arrival times, such as 1.2, 3.7, 4.2, 0.5, 8.2, 3.1, 1.7, 4.2, 0.7, 0.3, and 2.0. For example, 4.2 is the time between the arrivals of customers 2 and 3. If you average these, what parameter of the M/M/s model are you estimating? Use these numbers to estimate the arrival rate ?. If instead these numbers were observed service times, what would their average be an estimate of, and what would the corresponding estimate of µ be?
When we average the inter-arrival times, we are calculating t