A Unified Method of Analysis for Queues with Markovian Arrivals

Table 1

The mean queue size and the standard deviation in the M/D/1/20 system at different moments in time.

	Mean queue size	Standard deviation
𝑡=1	19.08	0.29
𝑡=2	18.78	0.63
𝑡=5	18.23	1.23
𝑡=10	16.60	1.88
𝑡=20	14.98	2.92
𝑡=50	11.30	4.95
𝑡=100	7.19	5.33
𝑡=200	4.97	4.40
𝑡=500	4.62	4.13
𝑡=∞	4.62	4.13