Article ID: | iaor20013069 |
Country: | Netherlands |
Volume: | 35 |
Issue: | 1/4 |
Start Page Number: | 141 |
End Page Number: | 166 |
Publication Date: | Jan 2000 |
Journal: | Queueing Systems |
Authors: | Boxma O.J., Zwart A.P. |
Keywords: | M/G/1 queues |
We show for the M/G/1 processor sharing queue that the service time distribution is regularly varying of index, if the sojourn time distribution is regularly varying of that index. This result is derived from a new expression for the Laplace–Stieltjes transform of the sojourn time distribution. That expression also leads to other new properties for the sojourn time distribution. We show how the moments of the sojourn time can be calculated recursively and prove that the