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Connection Scan Algorithm in PHP

Simple library to compute public transport routes directly based on timetable data.

Overview

This library provides a basic implementation of the CSA (Connection Scan Algorithm) introduced 2013. To use this algorithm with data from public transport agencies, there's no need to build a graph out of them like this would be using the Dijkstra or the A* algorithm.

Sadly there're only a few little projects using this algorithm in practice. The intent to develop this library is not to re-invent the wheel but learn about the issues when using 'real data' and how to fix them as well as keeping a simple and extendable PHP implementation of CSA which can be used in other projects.

Installation

To use this library, add it to your composer dependencies by typing

composer require gtfs/csa-routing

or when beginning from the scratch, simply clone this repo and type

composer install

in your command line environment.

Usage

For usage there're two main classes called Scanner (for computing the connections) and Journey for back-routing and computing your route.

<?php 

$connectionsList = []; // read the connections from database or file - must not be empty!

try {
    $scanner = new \CSA\Scanner($connectionsList);
    $connectionsIndex = $scanner->computeConnections('8000299', '8002549', '06:15:00');
    
    $journey = new \CSA\Journey($connectionsIndex);
    print_r($journey->computeLegs('8002549'));
} catch (\CSA\Exception\RoutingException $e) {
    print_r($e);
}

This snipped for e.g. calculates a route from Pforzheim Hbf (8000299) to Hamburg Hbf (8002549). The output is shown in the following section. You can see there're two legs: The first one from Pforzheim Hbf (8000299) to Karlsruhe Hbf (8000191) and the second one from Karlsruhe Hbf (8000191) to Hamburg Hbf (8002549) with a start time of 06:15:00.

Array
(
    [0] => CSA\Data\TimetableLeg Object
        (
            [tripId:protected] => 7282
            [sourceId:protected] => 8000299
            [destinationId:protected] => 8000191
            [departureTime:protected] => 06:22:00
            [arrivalTime:protected] => 06:45:00
        )

    [1] => CSA\Data\TimetableLeg Object
        (
            [tripId:protected] => 13778
            [sourceId:protected] => 8000191
            [destinationId:protected] => 8002549
            [departureTime:protected] => 06:51:00
            [arrivalTime:protected] => 11:35:00
        )

)

Input Data Structure

The input connections must be an array of type \CSA\Data\Connection or a subclass of them. You can obtain these connections directly from the stop_times.txt file in GTFS. Of course you can use any other arbitrary timetable data format.

Each connection consists of an departure stop id and a matching departure time as well as a arrival stop id and a matching arrival time. Additionally connections of type \CSA\Data\TimetableConnection contain a field named tripID, which is used to determine whether an interchange between two connections is required or not. This is especially important for the back-routing to ensure that a consistent trip is returned correctly.

Important Note: The connections in the input list must be sorted by their arrival time to ensure the algorithm is working properly! To avoid issues with consistent trips, they also should be sorted by their trip ID afterwards.

Performance

As we know, PHP is not the first choice when we speak about performance for large upcoming data streams and possible long-running algorithms. There're also limitations like the memory limit and the max. execution time.

For experimental purposes, we took two different datasets, called dataset A & B. Dataset A consists of one operational day of all long-distance trains in Germany with about ~8,500 connections. Dataset B consists of also one operational day of a German local transport authority with about ~180,000 connections.

Memory

Due to the object-oriented implementation of this library it is very memory-friendly. (See this gist: https://gist.github.com/nikic/5015323) The maxmimum memory consumption ran about 4 MB by using dataset A, and about 55 MB by using dataset B.

Runtime

The runtime of this implementation is lower than expected: A average route computation for dataset A took around 60ms in maxiumum, for dataset B we talk about 200ms in maximum. Compared to the runtime mentioned in the original paper this is very slow, but still enough for a practical use in web environments.

Improvements & Notes

There're some possibility which you can apply to improve the performance a little bit.

  • process only connections which are running on your desired date
  • prune connections arriving before your start time: those can never be reached

Contributing

Feel free to contribute this project! Please format your code similar to the code written by the origin author and document what you're doing in. This is not only an improvement for you, but for all other contributors, too :-)

If you found any issue or want to inform about some enhancements, please create an issue in this repository. You'll also find known issues and planned extensions there. If you fixed a bug or created a new feature, feel free to create a pull request.

License

This project is licensed under the MIT License. See LICENSE for more information.

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PHP based CSA routing on GTFS data

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