Skip to content
DraconiticResearch
Search Sources API
197,768 studies31 sourcesUpdated 1 h ago
PreprintarXiv licencearXiv

AFRA: Age-Threshold Frame-Based Random Access for Timely Communication in Multi-Agent Systems

Abstract

Timely state updates are essential for coordination and monitoring in multi-agent systems, such as teams of mobile robots exchanging state information. When agents share a wireless channel, collisions and slow convergence of distributed access schemes can degrade information freshness over finite operating periods. This paper proposes age-threshold frame-based random access (AFRA), a distributed medium access control protocol for minimizing age of information (AoI). Once its age reaches a threshold, an agent starts a local frame with a mandatory transmission and, if unsuccessful, makes one further attempt at a uniformly selected remaining slot. Each attempt carries a freshly generated update. AFRA requires only local state and acknowledgment feedback, with shared slot boundaries but independently timed local frames. We prove almost-sure convergence from any legal initial state to collision-free periodic operation when the frame length L and age threshold T satisfy L≥ T>N≥2, where N is the number of agents. We also derive closed-form expressions for steady-state throughput, average AoI, and average peak AoI. Simulations demonstrate that AFRA combines rapid convergence at small age thresholds with lower window-averaged AoI than the existing age-aware random access schemes evaluated in this study.

Related

  1. Threshold existence for random NAE-k-SAT and random hypergraph $2$-colourability
    Pavel Zakharov
    arXivPreprintCC BY 4.0Full textCombinatorics & discrete mathematicsarXiv
  2. Analysis of Polynomial Threshold Functions on Random Regular Graphs: Computational Complexity of Detecting Noisy Random Lifts
    Xifan Yu
    arXivPreprintarXiv licenceFull textCombinatorics & discrete mathematicsarXiv
  3. Infinite-mean Galton-Watson trees have zero random-interchange threshold
    Andreas Klippel, Benjamin Lees, Christian Mönch
    arXivPreprintCC BY 4.0Full textMathematical physicsProbabilityarXiv
  4. Independence Threshold for Collision Times of Many Planar Random Walks
    Ziyang Liu
    arXivPreprintCC BY 4.0Full textMathematical physicsProbabilityarXiv
  5. The threshold for fractional clique decompositions of random hypergraphs, via matrix scaling
    Tuan Tran
    arXivPreprintarXiv licenceFull textCombinatorics & discrete mathematicsProbabilityarXiv
BibTeX
@misc{tan2026afra,
  title = {{AFRA: Age-Threshold Frame-Based Random Access for Timely Communication in Multi-Agent Systems}},
  author = {Jiedan Tan and Fang Liu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.32785},
  eprint = {2610.32785},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.32785},
}
RIS
TY  - UNPB
TI  - AFRA: Age-Threshold Frame-Based Random Access for Timely Communication in Multi-Agent Systems
AU  - Jiedan Tan
AU  - Fang Liu
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.32785
UR  - https://arxiv.org/abs/2610.32785
AB  - Timely state updates are essential for coordination and monitoring in multi-agent systems, such as teams of mobile robots exchanging state information. When agents share a wireless channel, collisions and slow convergence of distributed access schemes can degrade information freshness over finite operating periods. This paper proposes age-threshold frame-based random access (AFRA), a distributed medium access control protocol for minimizing age of information (AoI). Once its age reaches a threshold, an agent starts a local frame with a mandatory transmission and, if unsuccessful, makes one further attempt at a uniformly selected remaining slot. Each attempt carries a freshly generated update. AFRA requires only local state and acknowledgment feedback, with shared slot boundaries but independently timed local frames. We prove almost-sure convergence from any legal initial state to collision-free periodic operation when the frame length L and age threshold T satisfy L≥ T>N≥2, where N is the number of agents. We also derive closed-form expressions for steady-state throughput, average AoI, and average peak AoI. Simulations demonstrate that AFRA combines rapid convergence at small age thresholds with lower window-averaged AoI than the existing age-aware random access schemes evaluated in this study.
ER  -