1st International ICST Workshop on Spatial Stochastic Models for Wireless Networks

Research Article

A Random Multiple Access Protocol with Spatial Interactions

  • @INPROCEEDINGS{10.1109/WIOPT.2007.4480081,
        author={Charles Bordenave and Serguei Foss and Vsevolod Shneer},
        title={A Random Multiple Access Protocol with Spatial Interactions},
        proceedings={1st International ICST Workshop on Spatial Stochastic Models for Wireless Networks},
        publisher={IEEE},
        proceedings_a={SPASWIN},
        year={2008},
        month={3},
        keywords={ALOHA protocol  Fluid limits  Spatial interactions  Stability of processes},
        doi={10.1109/WIOPT.2007.4480081}
    }
    
  • Charles Bordenave
    Serguei Foss
    Vsevolod Shneer
    Year: 2008
    A Random Multiple Access Protocol with Spatial Interactions
    SPASWIN
    IEEE
    DOI: 10.1109/WIOPT.2007.4480081
Charles Bordenave1, Serguei Foss2, Vsevolod Shneer3
  • 1: University of California at Berkeley, USA
  • 2: Heriot-Watt University, Edinburgh, UK
  • 3: EURANDOM, Eindhoven, The Netherlands

Abstract

We analyze an ALOHA type access protocol where users have local interactions. We establish that the fluid model of the system workload satisfies a differential equation. We exhibit a sufficient condition on the stability of this differential equation and deduce a sufficient condition for the stability of the protocol. We discuss the necessary condition.