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.

,     


,


00.00530950.12253590.38383020.19153880.01476670.03819450.00190900.7580846

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