V-uniform ergodicity for state-dependent single class queueing networks

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We consider single class queueing networks with state-dependent arrival and service rates. Under the uniform (in state) stability condition, it is shown that the queue length process is V-uniformly ergodic; that is, it has a transition probability kernel which converges to its limit geometrically quickly in the V-norm sense. Among several asymptotic properties of V-uniformly ergodic processes, we present a Strassen-type functional law of the iterated logarithm result.

Original languageEnglish
Pages (from-to)93-108
Number of pages16
JournalQueueing Systems
Volume65
Issue number1
DOIs
StatePublished - May 2010

Keywords

  • Functional law of the iterated logarithm
  • State-dependent networks
  • V-uniform ergodicity

Fingerprint

Dive into the research topics of 'V-uniform ergodicity for state-dependent single class queueing networks'. Together they form a unique fingerprint.

Cite this