The method in claim 12 further comprising mathematical optimization of estimated travel times, wherein the travel times in the current area are based on current time range within a first predetermined estimated travel time from the current position and are computed with data from a predetermined intermediate time range of travel and estimates consisting of travel times within a longer predetermined time range based on statistical travel times collected for that given period. view more

The method of claim 15 comprising determining the intermediate time range statistical predictions.

The method of claim 18, comprising obtaining the different time ranges used for searching for optimal route solutions at each different stage from predicted current travel times, statistical travel times and standard travel times.