The queue G/M/m/N: Busy period and cycle,waiting time under reverse and random order service |
| |
Authors: | Stig I Rosenlund |
| |
Abstract: | The busy period, busy cycle, and the numbers of customers served and lost therein, of the G/M/m queue with balking is studied via the embedded Markov chain approach. It is shown that the expectations of the two discrete variables give the loss probability. For the special case G/M/1/N a closed expression in terms of contour integrals is obtained for the Laplace transform of these four variables. This yields as a byproduct the LIFO waiting time distribution for the G/M/m/N queue. The waiting time under random order service for this queue is also studied. |
| |
Keywords: | |
|
|