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 5

Distribution of the number of customers served during a busy period.

nMarkov-modulated Poisson processInterrupted Poisson process
, , , ,
, , , ,

30.5806900.416275
40.2253740.230894
50.0979920.130911
60.0463570.077951
70.0231640.2813220.0483280.129386
80.0120200.2547650.0309160.167454
90.0064130.1766900.1958090.0202680.1568630.072134
100.0034940.1125680.2279890.0135490.1305650.120031
200.0000150.0007240.0036110.0004260.0075410.021595
500.0000000.0000000.0000000.0000000.0000020.000007
3.818188.909111.45454.615410.769213.8462
16.425483.681136.74726.7911128.785208.184
1.84694.30955.54075.489312.808416.4679