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 1

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

nExponential distributionDeterministic distribution
, , , ,

30.5120000.301194
40.2457600.242276
50.1179650.162402
60.0587200.104507
70.0301990.2097150.0667450.060810
80.0159450.2348810.0427420.114134
90.0085990.1879050.1342180.0275360.1377120.027324
100.0047170.1322850.1932740.0178620.1367570.065936
200.0000190.0011480.0058040.0003190.0103660.032485
300.0000000.0000090.0000520.0000080.0003670.001660
4.0009.333312.0005.00011.666715.000
18.22292.296150.6730.556149.074241.667
2.22225.18526.66675.555612.96316.6667