2006/08/29 by Michael Hohensee, Hohensee, Michael
Computer Science · Engineering · #C.2.1 #FOS: Computer and information sciences #Mobile Ad Hoc Networks #Networking and Internet Architecture (cs.NI) #Opportunistic and Delay-Tolerant Networks #Vehicular Ad Hoc Networks (VANETs) #cs.NI
paper · pdf · doi:10.48550/arxiv.cs/0608109
12 pages
arxiv created 2006/08/29 · openalex publication_date 2006/08/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we examine the cause of the border effect observed in many mobility models used to construct simulations of ad hoc networking protocol performance. We specify conditions under which a node mobility model must produce spatial mobile node distribution functions that obey the diffusion equation. In particular demonstrate that these conditions are satisfied by the random direction (RD) model. We show that it is possible to construct mobility models that attain uniform steady-state distributions without resorting to reflection or ``wrapping'' of nodes at the border of a test region. Finally, we show that the random waypoint (RWP) model may be reproduced by the application of a ``volume rule'' to an RD model. This volume rule violates the assumptions that lead to the diffusion equation. We suggest a generalization of the RWP model that can provide more uniform mobile node distributions.