Estimation of available bandwidth for an M / G / 1 queueing system

Seung Yeob Nam, Sunggon Kim, Dan Keun Sung

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


This paper is concerned with estimating the available bandwidth, the residual processing capacity, of a single-server queueing system whose service rate and the input traffic load are not known in advance. We analyze the minimal-backlogging method which has been proposed to estimate the available bandwidth by sending probing packets. We show that an M / G / 1 queueing system probed by the minimal-backlogging method is stable. A consistent estimator of the inverse of available bandwidth is proposed based on the sojourn times of the probing packets. We also estimate the available bandwidth of a local server which is connected to the probing node with non-zero delay as an application of the theory developed for a single-server queue. We evaluate the accuracy of the proposed available bandwidth estimation scheme by simulation.

Original languageEnglish
Pages (from-to)3299-3308
Number of pages10
JournalApplied Mathematical Modelling
Issue number8
StatePublished - Aug 2009


  • Available bandwidth
  • M / G / 1 queue
  • Minimal-backlogging
  • Probing


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