Gregoire,
In order to answer your question, you should first define a criterion (when is
a network 'optimal'?).
If the criterion is to minimise the spatially averaged kriging variance (or
something similar) then you might conisder the work done by Jan Willem van
Groenigen in the 90s. He used a numerical optimisation approach (i.e.,
simulated annealing), which takes computer time but is very flexible and can
handle irregulary shaped areas as well as situations in which there are given,
fixed, prior locations.
If the criterion is to minimise the maximum distance from any point in the area
to the nearest sampling point, then you can use a technique described by Dick J
Brus, which is very fast. Dick adapted the k-means cluster algorithm for this
purpose.
Gerard
-----Original Message-----
From: Gregoire Dubois [mailto:[EMAIL PROTECTED]
Sent: Thu 12/01/2006 18:17
To: 'Michel BOBBIA'
Cc: [email protected]
Subject: RE: [ai-geostats] Optimization of monitoring networks
Dear Michel,
Good idea !
I remember some of Werner Müller's papers and presentations but, as far
as I remember, he was not considering the impact of complex border effects
coming from the shape of the borders of the monitored area and was mainly
talking about optimizing sensor locations considering the spatial correlation
of the monitored phenomenon. Does his book discuss optimization regardless of
the monitored phenomenon?
I guess answers to my question can be found in the field of
mathematical morphology but had no chance so far to find anything useful to me.
I guess people installing emitters/antennas for mobile phones have answers to
my question..
Thanks,
Gregoire
__________________________________________
Gregoire Dubois (Ph.D.)
European Commission (EC)
Joint Research Centre (JRC)
WWW: http://www.ai-geostats.org <http://www.ai-geostats.org/>
"The views expressed are purely those of the writer and may not in any
circumstances be regarded as stating an official position of the European
Commission."
-----Original Message-----
From: Michel BOBBIA [mailto:[EMAIL PROTECTED]
Sent: 12 January 2006 17:23
To: [email protected]
Subject: Re: [ai-geostats] Optimization of monitoring networks
Hello
I have buy a book that seems to deal with this subject :
Werner G. Müller
Collecting Spatial Date
Optimum Design of Experiments for Random Fields
second edition
Physica-Verlag (Springer)
Unfortunatly, my knowledge in design of experiments is not
enough to understand the book, but I am reading it carefully...
However, I am interested in any solution/information to this
problem !
Regards
Michel BOBBIA
Air Normand
----- Original Message -----
From: Gregoire Dubois <mailto:[EMAIL PROTECTED]>
To: [email protected]
Sent: Thursday, January 12, 2006 3:00 PM
Subject: [ai-geostats] Optimization of monitoring
networks
Dear list,
I am looking for references (and possibly software) on
network optimization. The variable monitored has no importance and I am looking
for references and topological algorithms.
A question I have is the following: given an area A
with a particular shape (e.g. defined by country borders) and a number of
stations N (e.g. for mobile phone emitters), how do I define the optimal
locations for these stations?
Thanks for any hints.
Gregoire
__________________________________________
Gregoire Dubois (Ph.D.)
European Commission (EC)
Joint Research Centre (JRC)
Institute for Environment and Sustainability (IES)
TP 441, Via Fermi 1
21020 Ispra (VA)
ITALY
Tel. +39 (0)332 78 6360
Fax. +39 (0)332 78 5466
Email: [EMAIL PROTECTED]
WWW: http://www.ai-geostats.org
<http://www.ai-geostats.org>
WWW: http://rem.jrc.cec.eu.int
<http://rem.jrc.cec.eu.int>
"The views expressed are purely those of the writer and
may not in any circumstances be regarded as stating an official position of the
European Commission."
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