Research Article
A Comparative Numerical Study of the Spectral Theory Approach of Nishimura and the Roots Method Based on the Analysis of BDMMAP/G/1 Queue
Table 2
Distribution of stationary probability at service completion epoch using CGG method.
| | | | | | | | | |
| 0 | 0.01330220 | 0.08227482 | 0.30875159 | 0.18155513 | 0.03429153 | 0.05131165 | 0.01018140 | 0.68166832 |
| 1 | 0.00441302 | 0.02643001 | 0.07316726 | 0.04919645 | 0.01444583 | 0.02989969 | 0.00656687 | 0.20411913 |
| 2 | 0.00130584 | 0.00758268 | 0.01981490 | 0.01444597 | 0.00574059 | 0.01501491 | 0.00364341 | 0.06754829 |
| 3 | 0.00037519 | 0.00223206 | 0.00636291 | 0.00500380 | 0.00244431 | 0.00753719 | 0.00188202 | 0.02583747 |
| 4 | 0.00011005 | 0.00069211 | 0.00238099 | 0.00201229 | 0.00111998 | 0.00376296 | 0.00095227 | 0.01103065 |
| 5 | 0.00003394 | 0.00023240 | 0.00100176 | 0.00089575 | 0.00053597 | 0.00187759 | 0.00047777 | 0.00505518 |
| 6 | 0.00001130 | 0.00008587 | 0.00045501 | 0.00042229 | 0.00026223 | 0.00093662 | 0.00023891 | 0.00241224 |
| 7 | 0.00000413 | 0.00003485 | 0.00021606 | 0.00020499 | 0.00012964 | 0.00046721 | 0.00011930 | 0.00117619 |
| 8 | 0.00000166 | 0.00001527 | 0.00010507 | 0.00010093 | 0.00006440 | 0.00023305 | 0.00005954 | 0.00057993 |
| 9 | 0.00000072 | 0.00000706 | 0.00005174 | 0.00005003 | 0.00003206 | 0.00011625 | 0.00002971 | 0.00028757 |
| 10 | 0.00000033 | 0.00000337 | 0.00002564 | 0.00002488 | 0.00001598 | 0.00005798 | 0.00001482 | 0.00014301 |
| 15 | 0.00000001 | 0.00000010 | 0.00000079 | 0.00000077 | 0.00000049 | 0.00000179 | 0.00000046 | 0.00000440 |
| 20 | 0.00000000 | 0.00000000 | 0.00000002 | 0.00000002 | 0.00000002 | 0.00000006 | 0.00000001 | 0.00000014 |
| ≥25 | 0.00000000 | 0.00000000 | 0.00000000 | 0.00000000 | 0.00000000 | 0.00000000 | 0.00000000 | 0.00000000 |
| | 0.01955872 | 0.11959374 | 0.41235832 | 0.25393723 | 0.05909841 | 0.11127281 | 0.02418077 | 1.00000000 |
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