Hello,
I have worked for a company that developed a vehicle tracking solution.
I have experience with GIS data (formats as SHP, GeoJSON, KML), libraries (mainly for Python - shapely, rtree), applications (QGIS, Google Earth) and platforms (Google Maps API, Here API, OSM data, OpenLayers).
I also have many years of experience with Python, Linux PostgreSQL (including PostGIS), multiple tracking devices (such as Teltonika, Intellitrac).
Do you plan to integrate the solution with a road network as well? If not it would be difficult to guess which direction a vehicle would take. Another option is to include historical data into the prediction (for example data for similar days of a week or hours of a day).
If you can give me more details about the project we can discuss various methods.
EDIT: changed bid
Best wishes,
iticus