I think by saying "based on database" you are referring to offline routing. In that case a good starting point for your research would be following resource:

http://wiki.openstreetmap.org/wiki/Routing/OfflineRouters

thank you very much.

sorry for bothering, I am wondering, since i am using a GPS module to get the geographical location (Longitude and Latitude), how can I inject this position on the OSM map, so I cen find the maximum allowed speed limit attribute assigned to that map segment?

thank you in advance

If you want to do it on your infrastructure, you can use pgouting (http://pgrouting.org/ for routing) which works with OSM data (http://pgrouting.org/docs/tools/osm2pgrouting.html)