Raptor Algorithm: Differences between trip and route
Trip represents a sequence of stops plus associated arrival and departure times on each stop.

Group all trips by their sequence of stops, ignoring the time information, then each group of trips sharing the same sequence of stops forms a route.

eg. for air traveling, each flight is a trip, while each airline is a route, grouping all flights flying on the same airline.

What I saw in the paper is 


  Typically, there are many more trips than routes.


Which is obvious since there is an one-to-many mapping between route and trips.