While performing a simulation of a single-server queueing system, the number of customers in the system is 0 for the first 10 minutes, 1 for the next 17 minutes, 2 for the next 24 minutes, 1 for the next 15 minutes, 2 for the next 16 minutes, and 1 for the next 18 minutes. After this total of 100 minutes, the number becomes 0 again. Based on these results for the first 100 minutes, perform the following analysis (using the notation for queueing models introduced in Sec. 17.2).
(a) Plot a graph showing the evolution of the number of customers in the system over these 100 minutes.
(b) Develop estimates of P0, P1, P2, P3.
(c) Develop estimates of L and Lq.
(d) Develop estimates of W and Wq.