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