Simple and Yet Efficient Estimators for Markovian Multiserver Queues

Table 2

Averages (means) and standard deviations (SDs) of estimates for , , and .

λ=10				Sampling distribution
ℓ	ρ	s	μ	ρ estimated		μ estimated		λ estimated
				Mean	SD	Mean	SD	Mean	SD
50	0.1	3	33.3333	0.1006	0.0253	36.0326	4.7752	10.4347	1.4326
		9	11.1111	0.0998	0.0150	11.9889	1.6397	10.3399	1.4758
		27	3.7037	0.0996	0.0090	4.0059	0.5537	10.3394	1.4949
	0.5	3	6.6667	0.4979	0.0452	7.1426	1.0592	10.2850	1.5888
		9	2.2222	0.4992	0.0320	2.4031	0.3244	10.3540	1.4599
		27	0.7407	0.4990	0.0186	0.8015	0.1112	10.3596	1.5006
	0.9	3	3.7037	0.8744	0.0138	3.3016	0.5743	9.1311	1.5507
		9	1.2346	0.8643	0.0137	1.0493	0.1328	8.7706	1.0757
		27	0.4115	0.8661	0.0126	0.4256	0.0630	9.7771	1.5296
200	0.1	3	33.3333	0.1002	0.0130	35.9311	2.3430	10.3781	0.7029
		9	11.1111	0.0998	0.0073	11.9786	0.8625	10.3374	0.7762
		27	3.7037	0.1001	0.0042	3.9896	0.2456	10.3651	0.6631
	0.5	3	6.6667	0.4990	0.0228	7.1038	0.4836	10.2856	0.7254
		9	2.2222	0.4992	0.0167	2.3884	0.1575	10.3282	0.7088
		27	0.7407	0.4994	0.0093	0.7973	0.0516	10.3430	0.6965
	0.9	3	3.7037	0.8755	0.0067	3.2548	0.2719	9.0676	0.7341
		9	1.2346	0.8649	0.0068	1.0335	0.0616	8.6964	0.4987
		27	0.4115	0.8668	0.0064	0.4234	0.0310	9.7694	0.7543
400	0.1	3	33.3333	0.1001	0.0090	35.9298	1.6050	10.3695	0.4815
		9	11.1111	0.1001	0.0051	11.9613	0.5730	10.3618	0.5157
		27	3.7037	0.1002	0.0029	3.9871	0.1878	10.3697	0.5071
	0.5	3	6.6667	0.4986	0.0158	7.0955	0.3618	10.2760	0.5427
		9	2.2222	0.5001	0.0120	2.3877	0.1108	10.3486	0.4985
		27	0.7407	0.4991	0.0064	0.7985	0.0377	10.3397	0.5085
	0.9	3	3.7037	0.8758	0.0047	3.2426	0.1902	9.0476	0.5136
		9	1.2346	0.8652	0.0045	1.0294	0.0423	8.6808	0.3424
		27	0.4115	0.8671	0.0042	0.4229	0.0209	9.7613	0.5083