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Shortest Path Search
   with pgRouting




                  Daniel Kastl
What is pgRouting?
An Extension for
PostgreSQL / PostGIS, ...
An Open Source
    project, ...
A Library providing, ...
Shortest Path
DD and TSP
DARP
@justjkk
@jay_mahadeokar
APSP and TDSP
Multi-Modal
https://github.com/pgRouting/pgrouting
SQL Function
SELECT * FROM shortest_path('
      SELECT gid as id,
             source::integer,
             target::integer,
             length::float8 as cost
        FROM ways',
    605, 359, false, false);
Query Result
 vertex_id | edge_id |         cost
-----------+---------+--------------------
       605 |     599 |    0.19925085940845
       604 |     598 |   0.100258103875674
       603 |     597 |   0.201123583387407
       602 |     596 |   0.204847680679676
       601 |     595 |   0.158334540345002
      4293 |    9602 | 0.0183273901669081
       ... |     ... |   ...
Most users need pgRouting for

    Road Networks

    How do they look like?
Like this ...
… or like this ...
… or sometimes like this.
What makes them real?




Traffic lights   Signs   Road marking
How can pgRouting help here?
gid,
                  source,
source            target,
                  cost,
                  reverse_cost,
                  x1, y1,
                  x2, y2,
                  rule,
                  to_cost



         target
Traffic lights slow down




  … so costs must increase.
B
                      C
        1min
A
                  D
               cost(A)=cost(A)+30sec
               cost(B)=cost(B)+30sec
               cost(C)=cost(C)+30sec
               cost(D)=cost(D)+30sec
Signs inform about
restrictions and rules
cost(A) = length(A)
    reverse_cost(A) = ∞




A
Sometimes
  the costs
have different
  meaning.
cost(A)=length(A)/2
        reverse_cost(A)=length(A)*2

            cost(B)=length(B)*3
        reverse_cost(B)=length(B)/3




    B




A
Turn restrictions
   obviously
 restrict turns.
B
                      C
        1min
A
                  D
               cost(A)=cost(A)+1min
               cost(B)=cost(B)+1min
                       rule(A) = "D"
               cost(C)=cost(C)+1min
               cost(D)=cost(D)+1min∞
                     to_cost(A, D) =
Road type
can be used
 for cost
calculation.
Not only road types
but also conditions
Jughandle intersection




http://upload.wikimedia.org/wikipedia/commons/e/e4/Jughandle_signage.jpg
@ckrahe
And you know
what is great about pgRouting?
All costs are dynamic!
… which is the opposite to pre-calculated
If the road is closed ...
… or there is an accident, ...
… there is a sign with
 restrictions limited
 to a certain time, ...
… bad weather conditions ...
… or any other obstacle, ...
You don't need to
rebuild and reload
  your network
… and wait forever.
You only need to adjust the cost
     for this particular road,

and the next search will go another way.
Cost can be virtually anything
OpenStreetMap data
pgRouting can be used for
different kinds of networks
Canals and
  Rivers
Hiking trails
… or any other
kind of networks.
pgRouting Demo

      http://websi.openvrp.com

       http://map.veloland.ch

     http://www.ridethecity.com

http://www.pgrouting.org/gallery.html
Plans until FOSS4G 2012
●
    Integrate new functions
    ●
        All-Pair-Shortest-Path
    ●
        Time-Dependent-Shortest-Path
    ●
        Multi-Modal
    ●
        Two-way A-Star, ...
●
    Drop CGAL dependency
●
    PostgreSQL 9.x & PostGIS 2.0 support
●
    Source cleanup
www.pgrouting.org
workshop.pgrouting.org

daniel@georepublic.de
Photos from sxc.hu and
flickr under Creative Commons Licence.

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