Re: [manet] Average Node Speed

Hasan K <shjprof@yahoo.com> Fri, 22 October 2004 13:29 UTC

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Date: Fri, 22 Oct 2004 06:21:48 -0700
From: Hasan K <shjprof@yahoo.com>
Subject: Re: [manet] Average Node Speed
To: Alessandro La Piana <lapiana@cefriel.it>, manet@ietf.org
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Thanks! That was fast!
 
I agree with you if nodes continue to move till the next time they change speed. But in the model I am describing a node may may stop well before the expiry of T seconds because it reached its random coordinate. I am not sure whether the average (total distance travelled / total time) then will be V/2?!
 
Thanks again!

Alessandro La Piana <lapiana@cefriel.it> wrote:
Hi,
the average speed should always be V/2.

Let's suppose we take N speed samples. The space traveled in N T seconds 
time will be

Sum[V_i T] = T Sum[V_i] for i going from 1 to N.
So the average speed will be

Sum[V_i T] Sum[V_i] V_max
---------------- = ----------------- = (in the limit N->\infinity) 
------------
N T N 2


Bye.
Alessandro La Piana

Hasan K wrote:

> Hello,
> 
> Consider this simple mobility model: A node chooses a random 
> coordinate (x, y) within a grid then move to it a speed uniformly 
> selected on (0,V]. Then every T seconds, this process is repeated.
> 
> The question is, what is the average nodal speed? It is not V/2 since 
> we have the T factor.
> 
> What do you think?
> 
> HK
>
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