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When agents cross paths?
From: |
Paul W. Box |
Subject: |
When agents cross paths? |
Date: |
Sun, 15 Jun 1997 19:14:31 -0400 |
Hello group
Here is a question that I got thinking about today.
Imagine that you have a 2D (or anything-D) surface with things (agents)
running around on it in a random fashion, such as the simpleSwarmBugs in
the tutorial. Does anyone know of a way to find the expectation that
a) a particular point (cell) on a discretized surface would be trodden
upon more than once,
b) a particular point (cell) on a discretized surface would be trodden
upon by one or more individuals, and
c) any two paths cross each other (discrete or continuous surface).
These would each obviously be a function of the density of individuals
in the space and the amount of time that the simulation runs. I am not
sure of what other factors would be relevant yet.
Has anyone on this list had to deal with a formal description of this?
Could anyone point me to an article or textbook that discusses anything
similar?
Any ideas would be appreciated.
--
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/* Paul Box | Cogito ergo */
/* Dept. of Geography | Oculum Dioscoreum */
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- When agents cross paths?,
Paul W. Box <=