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Re: [Help-glpk] [Fwd: A query and a request for help


From: Heinrich Schuchardt
Subject: Re: [Help-glpk] [Fwd: A query and a request for help
Date: Fri, 10 Apr 2015 03:02:22 +0200

@Michael
Andrew had to forward Sanaullah's mail manually because he was not subscribed to the GLPK list. Hence your mail most probably will not have reached him.

@Sanaullah
Please, see https://lists.gnu.org/mailman/listinfo/help-glpk

Best regards

Heinrich Schuchardt



Michael Hennebry <address@hidden>schrieb:
From: sanaullah swati <address@hidden>

> sir i have this objective function for creating districts by clustering
> of census data (gis data)
> Inline image 1

Not seeing it.

> The above objective function of the optimal redistricting model is to
> minimize the totalpopulation weighted distance to each district center
> summed across all the districts.

What you seem to want would be difficult to impossible with a finite MILP.
Replacing distance with L1 distance or some other suitable
approximation to distance would render it just diffucult.

What you seem to be trying to do is called clustering.
http://en.wikipedia.org/wiki/Cluster_analysis#Centroid-based_clustering
One large MILP is not usually how they are solved.

--
Michael address@hidden
"SCSI is NOT magic. There are *fundamental technical
reasons* why it is necessary to sacrifice a young
goat to your SCSI chain now and then." -- John Woods

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