Kontoyiannis, I and Toumpis, S and Cavallari, R and Verdone, R (2018) *Asymptotics of the Packet Speed and Cost in a Mobile Wireless Network Model.* In: 2018 IEEE International Symposium on Information Theory, 2018-6-17 to 2018-5-22 pp. 2466-2470..

## Abstract

© 2018 IEEE. An infinite number of nodes move in \mathbb{R}^{2} according to a random waypoint model; a single packet is traveling towards a destination (located at an infinite distance away) using combinations of wireless transmissions and physical transport on the buffers of nodes. In earlier work [1] we defined two performance metrics, namely, the long-term average speed with which the packet travels towards its destination, and the rate with which transmission cost accumulates with distance covered. Explicit expressions were derived for these metrics, under specific ergodicity assumptions. In this paper we give a precise description of the induced Markov process, we show that it is indeed (uniformly) geometrically ergodic, and that the law of large numbers holds for the random variables of interest. In particular, we show that the two performance metrics are well-defined and asymptotically constant with probability one.

Item Type: | Conference or Workshop Item (UNSPECIFIED) |
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Subjects: | UNSPECIFIED |

Divisions: | Div F > Signal Processing and Communications |

Depositing User: | Cron Job |

Date Deposited: | 05 May 2018 20:04 |

Last Modified: | 27 Oct 2020 05:21 |

DOI: | 10.1109/ISIT.2018.8437523 |