Study on the Queue-Length Distribution in Queue with Working Vacations

Table 2

System queue length distribution at various epochs when service time is arbitrary with , , and , , , and .

0	0.0811		0.0790		0.0706
1	0.1008	0.0334	0.0982	0.0340	0.0982	0.0289
2	0.0819	0.0558	0.0798	0.0569	0.0844	0.0528
3	0.0567	0.0652	0.0553	0.0665	0.0600	0.0639
4	0.0377	0.0659	0.0367	0.0672	0.0402	0.0658
5	0.0250	0.0618	0.0244	0.0630	0.0267	0.0624
6	0.0166	0.0554	0.0162	0.0565	0.0177	0.0563
7	0.0110	0.0483	0.0107	0.0492	0.0117	0.0493
8	0.0073	0.0412	0.0071	0.0420	0.0078	0.0422
9	0.0049	0.0347	0.0048	0.0354	0.0052	0.0356
10	0.0033	0.0289	0.0032	0.0295	0.0035	0.0297
11	0.0022	0.0238	0.0021	0.0243	0.0023	0.0245
12	0.0015	0.0195	0.0015	0.0199	0.0016	0.0201
13	0.0011	0.0159	0.0011	0.0162	0.0012	0.0164
14	0.0008	0.0129	0.0008	0.0132	0.0008	0.0133
15	0.0003	0.0051	0.0003	0.0052	0.0004	0.0069
, , , , .