## Abstract

Random-access algorithms such as the CSMA protocol provide a popular mechanism for distributed medium access control in large-scale wireless networks. Mean-field analysis has emerged as a convenient approach to obtain tractable performance estimates in such networks, but a critical limitation of the classical set-up is that all nodes are assumed to belong to a finite number of classes. We consider spatial mean-field limits which do not involve such a requirement, characterized in terms of a set of partial-differential equations, and in particular examine the fixed points of these equations for some specific network configurations. We discuss how the fixed points can be used to obtain estimates for key performance metrics, and present simulation experiments to demonstrate the accuracy of these estimates.

Original language | English |
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Title of host publication | 55th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2017 |

Publisher | Institute of Electrical and Electronics Engineers |

Pages | 502-509 |

Number of pages | 8 |

Volume | 2018-January |

ISBN (Electronic) | 9781538632666 |

DOIs | |

Publication status | Published - 17 Jan 2018 |

Event | 55th Annual Allerton Conference on Communication, Control, and Computing - Monticello, United States Duration: 3 Oct 2017 → 6 Oct 2017 |

### Conference

Conference | 55th Annual Allerton Conference on Communication, Control, and Computing |
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Country | United States |

City | Monticello |

Period | 3/10/17 → 6/10/17 |

## Keywords

- CSMA
- Mean-field analysis
- Measure-valued Markov processes
- Random-access networks