# Generalized Fermat-Weber problem

The generalized Fermat-Weber problem searches for an optimal point $(x,y)$ which solves the following problem: Given n fixed destination points in the plane with coordinates $(x_i, y_i)$ , determine the optimum location $(x, y)$ of a single source point, that is $minimize_{x,y} f(x,y) = \sum_{i=1..n} \sqrt{(x-x_i)^2+(y-y_i)^2}$

Resource Type
Activity
Tags
fermat  optimal  weber
Target Group (Age)
19+
Language
English (United States)

GeoGebra version
5.0
Views
2694

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