Analytically Explicit Results for the Distribution of the Number of Customers Served during a Busy Period for Special Cases of the M/G/1 Queue

Table 2

Distribution of the number of customers served during a busy period.

n	Generalized Erlang distribution			Hyperexponential distribution
	, , ,			, , , , ,
	3	0.151704			0.373248
	4	0.129454			0.220963
5	0.101837			0.133358
6	0.080573			0.084303
7	0.064895	0.012274		0.055373	0.100306
8	0.053219	0.024439		0.037470	0.138556
9	0.044348	0.033129	0.003491	0.025955	0.138307	0.051999
10	0.037468	0.038404	0.008938	0.018318	0.122466	0.092350
20	0.010875	0.029860	0.030692	0.000971	0.012428	0.029950
50	0.001310	0.005343	0.008297	0.000001	0.000014	0.000044
100	0.000129	0.000588	0.001014	0.000000	0.000000	0.000000
200	0.000003	0.000017	0.000030	0.000000	0.000000	0.000000
	12.000	28.000	36.000	5.000	11.667	15.000
	348.00	1260.00	1908.00	33.194	155.231	249.583
	204.00	476.000	612.00	8.1944	19.1204	24.5833