English

Age of Gossip with the Push-Pull Protocol

Information Theory 2024-10-01 v1 Networking and Internet Architecture Signal Processing math.IT

Abstract

We consider a wireless network where a source generates packets and forwards them to a network containing nn nodes. The nodes in the network use the asynchronous push, pull or push-pull gossip communication protocols to maintain the most recent updates from the source. We use the version age of information metric to quantify the freshness of information in the network. Prior to this work, only the push gossiping protocol has been studied for age of information analysis. In this paper, we use the stochastic hybrid systems (SHS) framework to obtain recursive equations for the expected version age of sets of nodes in the time limit. We then show that the pull and push-pull protocols can achieve constant version age, while it is already known that the push protocol can only achieve logarithmic version age. We then show that the push-pull protocol performs better than the push and the pull protocol. Finally, we carry out numerical simulations to evaluate these results.

Keywords

Cite

@article{arxiv.2409.20490,
  title  = {Age of Gossip with the Push-Pull Protocol},
  author = {Arunabh Srivastava and Thomas Jacob Maranzatto and Sennur Ulukus},
  journal= {arXiv preprint arXiv:2409.20490},
  year   = {2024}
}
R2 v1 2026-06-28T19:02:37.980Z