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 4

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

n	Phase-type distribution			Two-phase Coxian distribution
	, , , , , ,			, , , ,
	3	0.296296			0.361705
	4	0.197531			0.225840
5	0.131687			0.138872
6	0.091043			0.087950
7	0.065031	0.058528		0.057338	0.093217
8	0.047689	0.091043		0.038294	0.135805
9	0.035718	0.101159	0.026012	0.026084	0.140038	0.047322
10	0.027214	0.098911	0.052025	0.018057	0.126330	0.088640
20	0.003003	0.022933	0.041731	0.000749	0.011701	0.029999
50	0.000022	0.000226	0.000565	0.000000	0.000006	0.000022
	6.000	14.000	18.000	4.9660	11.586	14.897
	54.000	238.00	378.00	31.925	151.20	243.71
	18.000	42.000	54.000	7.2680	16.959	21.805