Min. weighted average distance from multiple points

1944
1
02-28-2014 08:56 PM
MarcioCordero
New Contributor
Dear list members

I am a complete beginner in mapping-related topics. Still, I´ve been wondering if anyone know this problem. It might be well known, I just don´t know its name. And most importantly: is it possible to solve such a problem with an ArcGIS tool?

Initial situation:
nx : x geographical locations
Wx: weight per location
Dx: distance between the location nx and the optimal location O

Problem:
Where is the geographical position O, where the Σ (Dx*Wx) is at a minimum?

Numerical example:
n1: Rheinfelden; Wx: 20%
n2: Zurich; Wx: 40%
n3: Berne; Wx: 30%
n4: Lucerne; Wx: 10%

Result: somewhere around Aarau in Switzerland

Does anyone know the common name for this spatial problem?

I have found a tool that can do this on a straight line ("as the bird flies", http://www.geomidpoint.com/) but I would like to be able to calculate this on a street routing level. Is there a ArcGIS tool for that?

Thanks a lot for your kind feedback.

BR
Marcio
0 Kudos
1 Reply
MarcioCordero
New Contributor
Nobody has a clue about this? Any help would be greatly appreciated!

BR
Marcio
0 Kudos