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Transit Network Model

Three parts, running in real time:

  1. particle filter for vehicle location and speed
  2. Kalman filter for transit road network state (speed)
  3. travel- and arrival-time predictions for each vehicle/stop combination in the network

1. Particle Filter

IN: GTFS realtime protobuf feed

OUT: (updated) vehicle objects with updated particle states

2. Kalman filter

IN: particle filter state estimates, road state at time now - delta

OUT: road state at time now

3. Predictions

IN: particle filter state estimates, road state estimates

OUT: ETA to remaining stops along route


Dependencies

To-do

  • Application to run indefinitely
  • Use a Vehicle object concept with
    • vector<Particle> (N)
    • void update (gtfs::VehiclePosition, gtfs::TripUpdate): adjust the position, arrival/departure times etc, trigger particle transitions
    • void resample (N): perform particle filter weighted resample
    • properties vehicle_id, timestamp, trip_id, route_id, position, stop_sequence, arrival_time, departure_time
  • And the particles work in memory only
    • Particle
      • void initialize ()
      • void transition ()
      • void calc_likelihood (): uses parent Vehicle
      • void calc_weight ()
      • properties distance, velocity, stop_index, arrival_time, departure_time, segment_index, queue_time, begin_time, likelihood, weight
  • Similar concept for network route segments
    • Segment
      • vector<Path> shape: the GPS coordinates and cumulative distance of segment shape
      • double speed
      • void update (): perform Kalman filter update, using particle summaries (?)
  • The GTFS information can either be
    • loaded into an SQLite database, or
    • loaded into a MEMORY table via MySQL
  • Vehicle state summaries can be written to a file (?)
  • Making information available (via server) - road segment speeds + arrival time predictions
    • database (with no foreign key checks, and no transaction?)

(?) best way of collecting vehicle/segment data

  • sequentially append speed estimates to Segment, then periodically update and clear?
  • write to file? (makes keeping history easier?)

Project Structure

  • docs: documentation (HTML and LaTeX)
  • gps: a library containing methods for dealing with GPS coordinates
  • gtfs: a library with GTFS object classes, and methods for modeling them
    • Vehicle: Class representing a physical vehicle
    • Particle: Class representing a single vehicle state estimate
    • Segment: Class representing a road segment
  • include: header files for programs
  • protobuf: GTFS Realtime protobuf description and classes
  • src
    • transit_network_model.cpp: mostly just a wrapper for while (TRUE) { ... }
    • load_gtfs.cpp: a program that imports the latest GTFS data and segments it