Queueing Systems

, Volume 12, Issue 3, pp 231-242

First online:

Monitoring the packet gap of real-time packet traffic

  • Josep M. FerrandizAffiliated withHewlett-Packard Laboratories
  • , Aurel A. LazarAffiliated withDepartment of Electrical Engineering and Center for Telecommunications Research, Columbia University

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


Real-time packet traffic is characterized by a strict deadline on the end-to-end time delay and an upper bound on the information loss. Due to the high correlation among consecutive packets, the individual packet loss does not well characterize the performance of real-time packet sessions. An additional measure of packet loss is necessary to adequately assess the quality of each real-time connection. The additional measure considered here is the average number of consecutively lost packets, also called the average packet gap. We derive a closed form for the average packet gap for the multiclassG/G/m/B queueing system in equilibrium and show that it only depends on the loss behavior of two consecutive packets. This result considerably simplifies the monitoring process of real-time packet traffic sessions. If the packet loss process is markovian, the consecutive packet loss has a geometric distribution.


Palm probability consecutive packet loss packet traffic monitoring