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 1
Distribution of stationary probability at arbitrary epoch using CGG method.
| , | |
| | | |
| , |
| | | | | | | | | |
| 0 | 0.0053095 | 0.1225359 | 0.3838302 | 0.1915388 | 0.0147667 | 0.0381945 | 0.0019090 | 0.7580846 | | | | | | | | |
| 1 | 0.0036946 | 0.0199942 | 0.0760095 | 0.0448316 | 0.0092265 | 0.0125441 | 0.0029294 | 0.1692299 |
| 2 | 0.0010356 | 0.0060397 | 0.0165498 | 0.0111656 | 0.0033780 | 0.0070010 | 0.0015859 | 0.0467555 |
| 3 | 0.0002948 | 0.0017013 | 0.0044458 | 0.0032516 | 0.0013115 | 0.0034591 | 0.0008467 | 0.0153108 |
| 4 | 0.0000839 | 0.0004993 | 0.0014338 | 0.0011316 | 0.0005576 | 0.0017286 | 0.0004328 | 0.0058676 |
| 5 | 0.0000246 | 0.0001551 | 0.0005396 | 0.0004575 | 0.0002558 | 0.0008620 | 0.0002183 | 0.0025129 |
| 6 | 0.0000076 | 0.0000523 | 0.0002280 | 0.0002043 | 0.0001226 | 0.0004299 | 0.0001094 | 0.0011542 |
| 7 | 0.0000025 | 0.0000194 | 0.0001038 | 0.0000965 | 0.0000600 | 0.0002145 | 0.0000547 | 0.0005515 |
| 8 | 0.0000009 | 0.0000079 | 0.0000494 | 0.0000469 | 0.0000297 | 0.0001070 | 0.0000273 | 0.0002691 |
| 9 | 0.0000004 | 0.0000035 | 0.0000240 | 0.0000231 | 0.0000147 | 0.0000534 | 0.0000136 | 0.0001327 |
| 10 | 0.0000002 | 0.0000016 | 0.0000118 | 0.0000115 | 0.0000073 | 0.0000266 | 0.0000068 | 0.0000658 |
| 15 | 0.0000000 | 0.0000000 | 0.0000004 | 0.0000004 | 0.0000002 | 0.0000008 | 0.0000002 | 0.0000020 |
| ≥21 | 0.0000000 | 0.0000000 | 0.0000000 | 0.0000000 | 0.0000000 | 0.0000000 | 0.0000000 | 0.0000000 |
| | 0.0104547 | 0.1510117 | 0.4832376 | 0.2527704 | 0.0297377 | 0.0646472 | 0.0081408 | 1.0000000 |
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