pgrouting
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Optimal Meeting Point (OMP)
OMP algorithm looks interesting and work has been done in: https://github.com/ldesousa/pgrouting/tree/develop-omp
See also discussion on mailing list: http://lists.osgeo.org/pipermail/pgrouting-dev/2014-December/001462.html
Went to see the code, basically there is nothing except the skeleton for the connection to postgresql