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Asymptotics of the Packet Speed and Cost in a Mobile Wireless Network Model

Accepted version
Peer-reviewed

Type

Conference Object

Change log

Authors

Kontoyiannis, Ioannis  ORCID logo  https://orcid.org/0000-0001-7242-6375
Toumpis, S 
Cavallari, R 
Verdone, R 

Abstract

An infinite number of nodes move on 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. Analytical 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.

Description

Keywords

Delay-tolerant network, geographic routing, mobile wireless network, packet speed, cost

Journal Title

IEEE International Symposium on Information Theory - Proceedings

Conference Name

2018 IEEE International Symposium on Information Theory (ISIT)

Journal ISSN

2157-8095

Volume Title

2018-June

Publisher

IEEE
Sponsorship
European Union’s Horizon 2020 Research and Innovation programme under grant agreement No. 645220 (Road-, Air- and Water-based Future Internet Experimentation - RAWFIE).