pgr_trsp - Turn Restriction Shortest Path (TRSP) - pgRouting Manual (3.2)
pgr_trsp - Turn Restriction Shortest Path (TRSP)
pgr_trsp
- Returns the shortest path with support for turn restrictions.
Availability
-
Version 2.1.0
-
New Via prototypes
-
pgr_trspViaVertices
-
pgr_trspViaEdges
-
-
-
Version 2.0.0
-
Official function
-
Description
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 world 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 (seq, id1, id2, cost) or (seq, id1, id2, id3, cost) rows, that make up a path.
pgr_trsp(sql text, source integer, target integer,
directed boolean, has_rcost boolean [,restrict_sql text]);
RETURNS SETOF (seq, id1, id2, cost)
pgr_trsp(sql text, source_edge integer, source_pos float8,
target_edge integer, target_pos float8,
directed boolean, has_rcost boolean [,restrict_sql text]);
RETURNS SETOF (seq, id1, id2, cost)
pgr_trspViaVertices(sql text, vids integer[],
directed boolean, has_rcost boolean
[, turn_restrict_sql text]);
RETURNS SETOF (seq, id1, id2, id3, cost)
pgr_trspViaEdges(sql text, eids integer[], pcts float8[],
directed boolean, has_rcost boolean
[, turn_restrict_sql text]);
RETURNS SETOF (seq, id1, id2, id3, cost)
The main characteristics are:
The Turn Restricted Shortest Path algorithm (TRSP) is similar to the shooting star 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 provides an easy way of adding turn restrictions to a road network by placing them in a separate table.
- 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
andhas_rcost
parameters aretrue
(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
, thereverse_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
comma separated list of edges in the reverse order ofrule
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:
- seq :
-
row sequence
- id1 :
-
node ID
- id2 :
-
edge ID (
-1
for the last row) - cost :
-
cost to traverse from
id1
usingid2
Support for Vias
Warning
The Support for Vias functions are prototypes. Not all corner cases are being considered.
We also have support for vias where you can say generate a from A to B to C, etc. We support both methods above only you pass an array of vertices or and array of edges and percentage position along the edge in two arrays.
- 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
andhas_rcost
parameters aretrue
(see the above remark about negative costs).
- vids :
-
int4[]
An ordered array of NODE id the path will go through from start to end. - directed :
-
true
if the graph is directed - has_rcost :
-
if
true
, thereverse_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 separated list of edges in the reverse order ofrule
Another variant of TRSP allows to specify EDGE id together with a fraction to interpolate the position:
- eids :
-
int4
An ordered array of EDGE id that the path has to traverse - pcts :
-
float8
An array of fractional positions along the respective edges ineids
, where 0.0 is the start of the edge and 1.0 is the end of the eadge.
Returns set of:
- seq :
-
row sequence
- id1 :
-
route ID
- id2 :
-
node ID
- id3 :
-
edge ID (
-1
for the last row) - cost :
-
cost to traverse from
id2
usingid3
Additional Examples
- Example :
-
Without turn restrictions
SELECT * FROM pgr_trsp(
'SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost FROM edge_table',
7, 12, false, false
);
seq id1 id2 cost
-----+-----+-----+------
0 7 6 1
1 8 7 1
2 5 8 1
3 6 9 1
4 9 15 1
5 12 -1 0
(6 rows)
- Example :
-
With turn restrictions
Then a query with turn restrictions is created as:
SELECT * FROM pgr_trsp(
'SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost FROM edge_table',
2, 7, false, false,
'SELECT to_cost, target_id::int4,
from_edge coalesce('','' via_path, '''') AS via_path
FROM restrictions'
);
seq id1 id2 cost
-----+-----+-----+------
0 2 4 1
1 5 10 1
2 10 12 1
3 11 11 1
4 6 8 1
5 5 7 1
6 8 6 1
7 7 -1 0
(8 rows)
SELECT * FROM pgr_trsp(
'SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost FROM edge_table',
7, 11, false, false,
'SELECT to_cost, target_id::int4,
from_edge coalesce('','' via_path, '''') AS via_path
FROM restrictions'
);
seq id1 id2 cost
-----+-----+-----+------
0 7 6 1
1 8 7 1
2 5 8 1
3 6 9 1
4 9 15 1
5 12 13 1
6 11 -1 0
(7 rows)
An example query using vertex ids and via points:
SELECT * FROM pgr_trspViaVertices(
'SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost FROM edge_table',
ARRAY[2,7,11]::INTEGER[],
false, false,
'SELECT to_cost, target_id::int4, from_edge
coalesce('',''via_path,'''') AS via_path FROM restrictions');
seq id1 id2 id3 cost
-----+-----+-----+-----+------
1 1 2 4 1
2 1 5 10 1
3 1 10 12 1
4 1 11 11 1
5 1 6 8 1
6 1 5 7 1
7 1 8 6 1
8 2 7 6 1
9 2 8 7 1
10 2 5 8 1
11 2 6 9 1
12 2 9 15 1
13 2 12 13 1
14 2 11 -1 0
(14 rows)
An example query using edge ids and vias:
SELECT * FROM pgr_trspViaEdges(
'SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost,
reverse_cost FROM edge_table',
ARRAY[2,7,11]::INTEGER[],
ARRAY[0.5, 0.5, 0.5]::FLOAT[],
true,
true,
'SELECT to_cost, target_id::int4, FROM_edge
coalesce('',''via_path,'''') AS via_path FROM restrictions');
seq id1 id2 id3 cost
-----+-----+-----+-----+------
1 1 -1 2 0.5
2 1 2 4 1
3 1 5 8 1
4 1 6 9 1
5 1 9 16 1
6 1 4 3 1
7 1 3 5 1
8 1 6 8 1
9 1 5 7 1
10 2 5 8 1
11 2 6 9 1
12 2 9 16 1
13 2 4 3 1
14 2 3 5 1
15 2 6 11 0.5
(15 rows)
The queries use the Sample Data network.
Known Issues
Introduction
pgr_trsp code has issues that are not being fixed yet, but as time passes and new functionality is added to pgRouting with wrappers to hide the issues, not to fix them.
For clarity on the queries:
-
_pgr_trsp (internal_function) is the original code
-
pgr_trsp (lower case) represents the wrapper calling the original code
-
pgr_TRSP (upper case) represents the wrapper calling the replacement function, depending on the function, it can be:
-
pgr_dijkstra
-
pgr_dijkstraVia
-
pgr_withPoints
-
_pgr_withPointsVia (internal function)
-
The restrictions
The restriction used in the examples does not have to do anything with the graph:
-
No vertex has id: 25, 32 or 33
-
No edge has id: 25, 32 or 33
A restriction is assigned as:
SELECT 100::float AS to_cost, 25::INTEGER AS target_id, '32, 33'::TEXT AS via_path;
to_cost target_id via_path
---------+-----------+----------
100 25 32, 33
(1 row)
The back end code has that same restriction as follows
SELECT 1 AS id, 100::float AS cost, 25::INTEGER AS target_id, ARRAY[33, 32, 25] AS path;
id cost target_id path
----+------+-----------+------------
1 100 25 {33,32,25}
(1 row)
therefore the shortest path expected are as if there was no restriction involved
The "Vertices" signature version
pgr_trsp(sql text, source integer, target integer,
directed boolean, has_rcost boolean [,restrict_sql text]);
Different ways to represent ‘no path found`
-
Sometimes represents with EMPTY SET a no path found
-
Sometimes represents with Error a no path found
Returning EMPTY SET to represent no path found
SELECT * FROM pgr_trsp(
$$SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost, reverse_cost FROM edge_table$$,
1, 15, true, true
);
seq id1 id2 cost
-----+-----+-----+------
(0 rows)
pgr_trsp calls pgr_dijkstra when there are no restrictions which returns EMPTY SET when a path is not found
SELECT * FROM pgr_dijkstra(
$$SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost, reverse_cost FROM edge_table$$,
1, 15
);
seq path_seq node edge cost agg_cost
-----+----------+------+------+------+----------
(0 rows)
Throwing EXCEPTION to represent no path found
SELECT * FROM pgr_trsp(
$$SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost, reverse_cost FROM edge_table$$,
1, 15, true, true,
$$SELECT 100::float AS to_cost, 25::INTEGER AS target_id, '32, 33'::TEXT AS via_path$$
);
ERROR: Error computing path: Path Not Found
pgr_trsp use the original code when there are restrictions, even if they have nothing to do with the graph, which will throw an EXCEPTION to represent no path found.
Routing from/to same location
When routing from location \(1\) to the same location \(1\) , no path is needed to reach the destination, its already there. Therefore is expected to return an EMPTY SET or an EXCEPTION depending on the parameters
-
Sometimes represents with EMPTY SET no path found (expected)
-
Sometimes represents with EXCEPTION no path found (expected)
-
Sometimes finds a path (not expected)
Returning expected EMPTY SET to represent no path found
SELECT * FROM pgr_trsp(
$$SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost, reverse_cost FROM edge_table$$,
1, 1, true, true
);
seq id1 id2 cost
-----+-----+-----+------
(0 rows)
pgr_trsp
calls
pgr_dijkstra
when there are no restrictions which returns
the expected to return
EMPTY SET
to represent no path found.
Returning expected EXCEPTION to represent no path found
SELECT * FROM pgr_trsp(
$$SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost, reverse_cost FROM edge_table$$,
14, 14, true, true,
$$SELECT 100::float AS to_cost, 25::INTEGER AS target_id, '32, 33'::TEXT AS via_path$$
);
ERROR: Error computing path: Path Not Found
In this case
pgr_trsp
calls the original code when there are restrictions, even if they have nothing to do with the graph,
in this case that code throws the expected EXCEPTION
Returning unexpected path
SELECT * FROM pgr_trsp(
$$SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost, reverse_cost FROM edge_table$$,
1, 1, true, true,
$$SELECT 100::float AS to_cost, 25::INTEGER AS target_id, '32, 33'::TEXT AS via_path$$
);
seq id1 id2 cost
-----+-----+-----+------
0 1 1 1
1 2 4 1
2 5 8 1
3 6 9 1
4 9 16 1
5 4 3 1
6 3 2 1
7 2 1 1
8 1 -1 0
(9 rows)
In this case
pgr_trsp
calls the original code when there are restrictions, even if they have nothing to do with the graph,
in this case that code finds an unexpected path.
User contradictions
pgr_trsp
unlike other pgRouting functions does not autodectect the existence of
reverse_cost
column. Therefor it has
has_rcost
parameter to check the existence
of
reverse_cost
column. Contradictions happen:
-
When the reverse_cost is missing, and the flag has_rcost is set to true
-
When the reverse_cost exists, and the flag has_rcost is set to false
When the reverse_cost is missing, and the flag has_rcost is set to true.
SELECT * FROM pgr_trsp(
$$SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost FROM edge_table$$,
2, 3, false, true,
$$SELECT 100::float AS to_cost, 25::INTEGER AS target_id, '32, 33'::TEXT AS via_path$$
);
ERROR: Error, reverse_cost is used, but query did't return 'reverse_cost' column
An EXCEPTION is thrown.
When the reverse_cost exists, and the flag has_rcost is set to false
SELECT * FROM pgr_trsp(
$$SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost, reverse_cost FROM edge_table$$,
2, 3, false, false,
$$SELECT 100::float AS to_cost, 25::INTEGER AS target_id, '32, 33'::TEXT AS via_path$$
);
seq id1 id2 cost
-----+-----+-----+------
0 2 4 1
1 5 8 1
2 6 5 1
3 3 -1 0
(4 rows)
The
reverse_cost
column will be effectively removed and will cost execution time
The "Edges" signature version
pgr_trsp(sql text, source_edge integer, source_pos float8,
target_edge integer, target_pos float8,
directed boolean, has_rcost boolean [,restrict_sql text]);
Different ways to represent ‘no path found`
-
Sometimes represents with EMPTY SET a no path found
-
Sometimes represents with EXCEPTION a no path found
Returning EMPTY SET to represent no path found
SELECT * FROM pgr_trsp(
$$SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost, reverse_cost FROM edge_table$$,
1, 0.5, 17, 0.5, true, true
);
seq id1 id2 cost
-----+-----+-----+------
(0 rows)
pgr_trsp calls pgr_withPoints - Proposed when there are no restrictions which returns EMPTY SET when a path is not found
Throwing EXCEPTION to represent no path found
SELECT * FROM _pgr_trsp(
$$SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost, reverse_cost FROM edge_table$$,
1, 0.5, 17, 0.5, true, true,
$$SELECT 100::float AS to_cost, 25::INTEGER AS target_id, '32, 33'::TEXT AS via_path$$
);
ERROR: Error computing path: Path Not Found
pgr_trsp use the original code when there are restrictions, even if they have nothing to do with the graph, which will throw an EXCEPTION to represent no path found.
Paths with equal number of vertices and edges
A path is made of N vertices and N - 1 edges.
-
Sometimes returns N vertices and N - 1 edges.
-
Sometimes returns N - 1 vertices and N - 1 edges.
Returning N vertices and N - 1 edges.
SELECT * FROM pgr_TRSP(
$$SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost, reverse_cost FROM edge_table$$,
1, 0.5, 1, 0.8, true, true
);
seq id1 id2 cost
-----+-----+-----+------
0 -1 1 0.3
1 -2 -1 0
(2 rows)
pgr_trsp calls
pgr_withPoints - Proposed
when there are no restrictions which returns
the correct number of rows that will include all the vertices. The last row will have a
-1
on the edge column to indicate the edge number is invalidu for that row.
Returning N - 1 vertices and N - 1 edges.
SELECT * FROM pgr_TRSP(
$$SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost, reverse_cost FROM edge_table$$,
1, 0.5, 1, 0.8, true, true,
$$SELECT 100::float AS to_cost, 25::INTEGER AS target_id, '32, 33'::TEXT AS via_path$$
);
seq id1 id2 cost
-----+-----+-----+------
0 -1 1 0.3
(1 row)
pgr_trsp use the original code when there are restrictions, even if they have nothing to do with the graph, and will not return the last vertex of the path.
Routing from/to same location
When routing from the same edge and position to the same edge and position, no path is needed to reach the destination, its already there. Therefore is expected to return an EMPTY SET or an EXCEPTION depending on the parameters, non of which is happening.
A path with 2 vertices and edge cost 0
SELECT * FROM pgr_TRSP(
$$SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost, reverse_cost FROM edge_table$$,
1, 0.5, 1, 0.5, true, true
);
seq id1 id2 cost
-----+-----+-----+------
0 -1 1 0
1 -2 -1 0
(2 rows)
pgr_trsp calls pgr_withPoints - Proposed setting the first \((edge, position)\) with a differenct point id from the second \((edge, position)\) making them different points. But the cost using the edge, is \(0\) .
A path with 1 vertices and edge cost 0
SELECT * FROM pgr_TRSP(
$$SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost, reverse_cost FROM edge_table$$,
1, 0.5, 1, 0.5, true, true,
$$SELECT 100::float AS to_cost, 25::INTEGER AS target_id, '32, 33'::TEXT AS via_path$$
);
seq id1 id2 cost
-----+-----+-----+------
0 -1 1 0
(1 row)
pgr_trsp use the original code when there are restrictions, even if they have nothing to do with the graph, and will not have the row for the vertex \(-2\) .
User contradictions
pgr_trsp
unlike other pgRouting functions does not autodectect the existence of
reverse_cost
column. Therefor it has
has_rcost
parameter to check the existence
of
reverse_cost
column. Contradictions happen:
-
When the reverse_cost is missing, and the flag has_rcost is set to true
-
When the reverse_cost exists, and the flag has_rcost is set to false
When the reverse_cost is missing, and the flag has_rcost is set to true.
SELECT * FROM pgr_trsp(
$$SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost FROM edge_table$$,
1, 0.5, 1, 0.8, false, true,
$$SELECT 100::float AS to_cost, 25::INTEGER AS target_id, '32, 33'::TEXT AS via_path$$
);
ERROR: Error, reverse_cost is used, but query did't return 'reverse_cost' column
An EXCEPTION is thrown.
When the reverse_cost exists, and the flag has_rcost is set to false
SELECT * FROM pgr_trsp(
$$SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost, reverse_cost FROM edge_table$$,
1, 0.5, 1, 0.8, false, false,
$$SELECT 100::float AS to_cost, 25::INTEGER AS target_id, '32, 33'::TEXT AS via_path$$
);
seq id1 id2 cost
-----+-----+-----+------
0 -1 1 0.3
(1 row)
The
reverse_cost
column will be effectively removed and will cost execution time
Using a points of interest table
Given a set of points of interest:
SELECT * FROM pointsOfInterest;
pid x y edge_id side fraction the_geom newpoint
-----+-----+-----+---------+------+----------+--------------------------------------------+--------------------------------------------
1 1.8 0.4 1 l 0.4 0101000000CDCCCCCCCCCCFC3F9A9999999999D93F 010100000000000000000000409A9999999999D93F
2 4.2 2.4 15 r 0.4 0101000000CDCCCCCCCCCC10403333333333330340 010100000000000000000010403333333333330340
3 2.6 3.2 12 l 0.6 0101000000CDCCCCCCCCCC04409A99999999990940 0101000000CDCCCCCCCCCC04400000000000000840
4 0.3 1.8 6 r 0.3 0101000000333333333333D33FCDCCCCCCCCCCFC3F 0101000000333333333333D33F0000000000000040
5 2.9 1.8 5 l 0.8 01010000003333333333330740CDCCCCCCCCCCFC3F 01010000000000000000000840CDCCCCCCCCCCFC3F
6 2.2 1.7 4 b 0.7 01010000009A99999999990140333333333333FB3F 01010000000000000000000040333333333333FB3F
(6 rows)
Using pgr_trsp
SELECT * FROM pgr_TRSP(
$$SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost, reverse_cost FROM edge_table$$,
(SELECT edge_id::INTEGER FROM pointsOfInterest WHERE pid = 1),
(SELECT fraction FROM pointsOfInterest WHERE pid = 1),
(SELECT edge_id::INTEGER FROM pointsOfInterest WHERE pid = 6),
(SELECT fraction FROM pointsOfInterest WHERE pid = 6),
true, true,
$$SELECT 100::float AS to_cost, 25::INTEGER AS target_id, '32, 33'::TEXT AS via_path$$
);
seq id1 id2 cost
-----+-----+-----+------
0 -1 1 0.6
1 2 4 0.7
(2 rows)
On pgr_trsp , to be able to use the table information:
-
Each parameter has to be extracted explicitly from the table
-
Regardles of the point pid original value
-
will always be -1 for the first point
-
will always be -2 for the second point
-
the row reaching point -2 will not be shown
-
-
Using pgr_withPoints - Proposed
SELECT * FROM pgr_withPoints(
$$SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost, reverse_cost FROM edge_table$$,
$$SELECT pid, edge_id, fraction FROM pointsOfInterest$$,
-1, -6
);
seq path_seq node edge cost agg_cost
-----+----------+------+------+------+----------
1 1 -1 1 0.6 0
2 2 2 4 0.7 0.6
3 3 -6 -1 0 1.3
(3 rows)
Suggestion: use pgr_withPoints - Proposed when there are no turn restrictions:
-
Results are more complete
-
Column names are meaningful
Routing from a vertex to a point
Solving a shortest path from vertex \(6\) to pid 1 using a points of interest table
Using pgr_trsp
SELECT * FROM pgr_trsp(
$$SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost, reverse_cost FROM edge_table$$,
8, 1,
(SELECT edge_id::INTEGER FROM pointsOfInterest WHERE pid = 1),
(SELECT fraction FROM pointsOfInterest WHERE pid = 1),
true, true,
$$SELECT 100::float AS to_cost, 25::INTEGER AS target_id, '32, 33'::TEXT AS via_path$$
);
seq id1 id2 cost
-----+-----+-----+------
0 6 8 1
1 5 4 1
2 2 1 0.6
(3 rows)
-
Vertex 6 is on edge 8 at 1 fraction
SELECT * FROM pgr_trsp(
$$SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost, reverse_cost FROM edge_table$$,
11, 0,
(SELECT edge_id::INTEGER FROM pointsOfInterest WHERE pid = 1),
(SELECT fraction FROM pointsOfInterest WHERE pid = 1),
true, true,
$$SELECT 100::float AS to_cost, 25::INTEGER AS target_id, '32, 33'::TEXT AS via_path$$
);
seq id1 id2 cost
-----+-----+-----+------
0 6 8 1
1 5 4 1
2 2 1 0.6
(3 rows)
-
Vertex 6 is also edge 11 at 0 fraction
Using pgr_withPoints - Proposed
SELECT * FROM pgr_withPoints(
$$SELECT id::INTEGER, source::INTEGER, target::INTEGER, cost, reverse_cost FROM edge_table$$,
$$SELECT pid, edge_id, fraction FROM pointsOfInterest$$,
6, -1
);
seq path_seq node edge cost agg_cost
-----+----------+------+------+------+----------
1 1 6 8 1 0
2 2 5 4 1 1
3 3 2 1 0.6 2
4 4 -1 -1 0 2.6
(4 rows)
Suggestion: use pgr_withPoints - Proposed when there are no turn restrictions:
-
No need to choose where the vertex is located.
-
Results are more complete
-
Column names are meaningful
prototypes
pgr_trspViaVertices
and
pgr_trspViaEdges
were added to pgRouting as prototypes
These functions use the pgr_trsp functions inheriting all the problems mentioned above. When there are no restrictions and have a routing "via" problem with vertices:
See Also
Indices and tables