Strong stochastic stability for MANET mobility models

R. Timo*, K. Blackmore, L. Hanlen

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    8 Citations (Scopus)

    Abstract

    At the core of any MANET simulation is a mobility model. To help ensure reliable simulation results, it is of interest to know if the mobility model is stable: Will time-averaged measurements of "mobility model events" converge? For example, does the time-averaged distance between a pair of nodes converge as simulation time increases? In this paper, we study the stability of a class of discrete Random Waypolnt Mobility Models (RWMMs). This class includes the classic Random Waypolnt Mobility Model. We show that each mobility model in this class satisfies a pointwise ergodic theorem (a generalized strong law of large numbers); thus, all bounded time-averaged measurements of mobility model events converge with probability one. A corollary of this ergodic theorem shows that each mobility model in this class also possesses a time-stationary regime.

    Original languageEnglish
    Title of host publicationICON 2007 - Proceedings of the 2007 15th IEEE International Conference on Networks
    Pages13-18
    Number of pages6
    DOIs
    Publication statusPublished - 2007
    Event15th IEEE International Conference on Networks, ICON 2007 - Adelaide, SA, Australia
    Duration: 19 Nov 200721 Nov 2007

    Publication series

    NameICON 2007 - Proceedings of the 2007 15th IEEE International Conference on Networks

    Conference

    Conference15th IEEE International Conference on Networks, ICON 2007
    Country/TerritoryAustralia
    CityAdelaide, SA
    Period19/11/0721/11/07

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