Algorithm to find point of minimum total distance from locations

Question

I\'m building an application based around finding a \"convenient meeting point\" given a set of locations.

Currently I\'m defining \"convenient\" as \"minimising the

Answer 1

Here is a solution that finds the geographical midpoint and then iteratively explores nearby positions to adjust that towards the minimum total distance point.

http://www.geomidpoint.com/calculation.html

This question is also quite similar to

Minimum Sum of All Travel Times

Here is a wikipedia article on the general problem you're trying to solve:

http://en.wikipedia.org/wiki/Geometric_median