Synchronized Lévy queues

Offer Kella, Onno Boxma

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We consider a multivariate Lévy process where the first coordinate is a Lévy process with no negative jumps which is not a subordinator and the others are non-decreasing. We determine the Laplace-Stieltjes transform of the steady-state buffer content vector of an associated system of parallel queues. The special structure of this transform allows us to rewrite it as a product of joint Laplace-Stieltjes transforms. We are thus able to interpret the buffer content vector as a sum of independent random vectors.

Original languageAmerican English
Pages (from-to)1222-1233
Number of pages12
JournalJournal of Applied Probability
Issue number4
StatePublished - Dec 2020

Bibliographical note

Publisher Copyright:
© Applied Probability Trust 2020.


  • Lévy driven queues
  • decomposition
  • synchronized Lévy queues


Dive into the research topics of 'Synchronized Lévy queues'. Together they form a unique fingerprint.

Cite this