pgRouting Manual (2.0.0)

pgr_trsp - Turn Restriction Shortest Path (TRSP)

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pgr_trsp - Turn Restriction Shortest Path (TRSP)

Name

pgr_trsp — Returns the shortest path with support for turn restrictions.

Synopsis

The turn restricted shorthest path (TRSP) is a shortest path algorithm that can optionally take into account complicated turn restrictions like those found in real work navigable road networks. Performamnce wise it is nearly as fast as the A* search but has many additional features like it works with edges rather than the nodes of the network. Returns a set of pgr_costResult (seq, id1, id2, cost) rows, that make up a path.

pgr_costResult[] pgr_trsp(sql text, source integer, target integer,
             directed boolean, has_rcost boolean [,restrict_sql text]);
pgr_costResult[] pgr_trsp(sql text, source_edge integer, source_pos double precision,
                          target_edge integer, target_pos double precision, directed boolean,
                      has_rcost boolean [,restrict_sql text]);

Description

The Turn Restricted Shortest Path algorithm (TRSP) is similar to the Shooting Star algorithm in that you can specify turn restrictions.

The TRSP setup is mostly the same as Dijkstra shortest path with the addition of an optional turn restriction table. This makes adding turn restrictions to a road network much easier than trying to add them to Shooting Star where you had to ad the same edges multiple times if it was involved in a restriction.

sql:

a SQL query, which should return a set of rows with the following columns:

SELECT id, source, target, cost, [,reverse_cost] FROM edge_table
id:int4 identifier of the edge
source:int4 identifier of the source vertex
target:int4 identifier of the target vertex
cost:float8 value, of the edge traversal cost. A negative cost will prevent the edge from being inserted in the graph.
reverse_cost:(optional) the cost for the reverse traversal of the edge. This is only used when the directed and has_rcost parameters are true (see the above remark about negative costs).
source:

int4 NODE id of the start point

target:

int4 NODE id of the end point

directed:

true if the graph is directed

has_rcost:

if true, the reverse_cost column of the SQL generated set of rows will be used for the cost of the traversal of the edge in the opposite direction.

restrict_sql:

(optional) a SQL query, which should return a set of rows with the following columns:

SELECT to_cost, target_id, via_path FROM restrictions
to_cost:float8 turn restriction cost
target_id:int4 target id
via_path:text commar seperated list of edges in the reverse order of rule

Another variant of TRSP allows to specify EDGE id of source and target together with a fraction to interpolate the position:

source_edge:int4 EDGE id of the start edge
source_pos:float8 fraction of 1 defines the position on the start edge
target_edge:int4 EDGE id of the end edge
target_pos:float8 fraction of 1 defines the position on the end edge

Returns set of pgr_costResult[]:

seq:row sequence
id1:node ID
id2:edge ID (-1 for the last row)
cost:cost to traverse from id1 using id2

History

  • New in version 2.0.0

Examples

  • Without turn restrictions
SELECT seq, id1 AS node, id2 AS edge, cost
        FROM pgr_trsp(
                'SELECT id, source, target, cost FROM edge_table',
                7, 12, false, false
        );

seq | node | edge | cost
----+------+------+------
  0 |    7 |    6 |    1
  1 |    8 |    7 |    1
  2 |    5 |    8 |    1
  3 |    6 |   11 |    1
  4 |   11 |   13 |    1
  5 |   12 |   -1 |    0
(6 rows)
  • With turn restrictions

Turn restrictions require additional information, which can be stored in a separate table:

CREATE TABLE restrictions (
    rid serial,
    to_cost double precision,
    to_edge integer,
    from_edge integer,
    via text
);

INSERT INTO restrictions VALUES (1,100,7,4,null);
INSERT INTO restrictions VALUES (2,4,8,3,5);
INSERT INTO restrictions VALUES (3,100,9,16,null);

Then a query with turn restrictions is created as:

SELECT seq, id1 AS node, id2 AS edge, cost
        FROM pgr_trsp(
                'SELECT id, source, target, cost FROM edge_table',
                7, 12, false, false,
                'SELECT to_cost, to_edge AS target_id,
           from_edge || coalesce('','' || via, '''') AS via_path
       FROM restrictions'
        );

 seq | node | edge | cost
-----+------+------+------
   0 |    7 |    6 |    1
   1 |    8 |    7 |    1
   2 |    5 |    8 |    1
   3 |    6 |   11 |    1
   4 |   11 |   13 |    1
   5 |   12 |   -1 |    0
(6 rows)

The queries use the Sample Data network.

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