Research Article
Analytically Explicit Results for the Distribution of the Number of Customers Served during a Busy Period for Special Cases of the M/G/1 Queue
Table 4
Distribution of the number of customers served during a busy period.
| n | Phase-type distribution | Two-phase Coxian distribution | , , , , , , | , , , , | | | | | | | | | | | | |
| 3 | 0.296296 | | | 0.361705 | | | 4 | 0.197531 | | | 0.225840 | | | 5 | 0.131687 | | | 0.138872 | | | 6 | 0.091043 | | | 0.087950 | | | 7 | 0.065031 | 0.058528 | | 0.057338 | 0.093217 | | 8 | 0.047689 | 0.091043 | | 0.038294 | 0.135805 | | 9 | 0.035718 | 0.101159 | 0.026012 | 0.026084 | 0.140038 | 0.047322 | 10 | 0.027214 | 0.098911 | 0.052025 | 0.018057 | 0.126330 | 0.088640 | 20 | 0.003003 | 0.022933 | 0.041731 | 0.000749 | 0.011701 | 0.029999 | 50 | 0.000022 | 0.000226 | 0.000565 | 0.000000 | 0.000006 | 0.000022 | | | | | | | | | 6.000 | 14.000 | 18.000 | 4.9660 | 11.586 | 14.897 | | 54.000 | 238.00 | 378.00 | 31.925 | 151.20 | 243.71 | | 18.000 | 42.000 | 54.000 | 7.2680 | 16.959 | 21.805 |
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