pgRouting Manual (2.2)

pgr_ksp

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pgr_ksp

Name

pgr_ksp — Returns the “K” shortest paths.

../../../_images/boost-inside4.jpeg

Boost Graph Inside

Synopsis

The K shortest path routing algorithm based on Yen’s algorithm. “K” is the number of shortest paths desired.

The minimal signature:

pgr_ksp(TEXT sql_q, BIGINT start_vid, BIGINT end_vid, INTEGER k);
  RETURNS SET OF (seq, path_id, path_seq, node, edge, cost, agg_cost) or EMPTY SET

The full signature:

pgr_ksp(TEXT edges_sql, BIGINT start_vid, BIGINT end_vid, INTEGER k,
      BOOLEAN directed:=true, BOOLEAN heap_paths:=false);
  RETURNS SET OF (seq, path_id, path_seq, node, edge, cost, agg_cost) or EMPTY SET

Description of the SQL query

General description of the edges_sql

SELECT id, source, target, cost [,reverse_cost] FROM ...
sql_q:

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

id:ANY-INTEGER identifier of the edge.
source:ANY-INTEGER identifier of the source vertex of the edge.
target:ANY-INTEGER identifier of the target vertex of the edge.
cost:ANY-NUMERICAL value of the edge traversal cost. A negative cost will prevent the edge (source, target) from being inserted in the graph.
reverse_cost:ANY-NUMERICAL (optional) the value for the reverse traversal of the edge. A negative cost will prevent the edge (target, source) from being inserted in the graph.

Where:

ANY-INTEGER:smallint, int, bigint
ANY-NUMERICAL:smallint, int, bigint, real, float

Description of the parameters of the signatures

sql_q:TEXT SQL query as decribed above.
start_vid:BIGINT id of the starting vertex.
end_vid:BIGINT id of the ending vertex.
k:INTEGER The desiered number of paths.
directed:BOOLEAN (optional). When false the graph is considered as Undirected. Default is true which considers the graph as Directed.
heap_paths:BOOLEAN (optional). When true returns all the paths stored in the process heap. Default is false which only returns k pahts.

Roughly, if the shortest path has N edges, the heap will contain about than N * k paths for small value of k and k > 1.

Description of the return values

Returns set of (seq, path_seq, path_id, node, edge, cost, agg_cost)

seq:INT sequential number starting from 1.
path_seq:INT relative position in the pathi of node and edge. Has value 1 for the begining of a path.
path_id:BIGINT path identifier. The ordering of the paths For two paths i, j if i < j then agg_cost(i) <= agg_cost(j).
node:BIGINT id of the node in the path.
edge:BIGINT id of the edge used to go from node to the next node in the path sequence. -1 for the last node of the route.
cost:FLOAT cost to traverse from node using edge to the next node in the path sequence.
agg_cost:FLOAT total cost from start_vid to node.

Warning

During the transition to 3.0, because pgr_ksp version 2.0 doesn’t have defined a directed flag nor a heap_path flag, when pgr_ksp is used with only one flag version 2.0 will be used.

Examples to handle the one flag to choose signatures

The examples in this section use the following Graph 1: Directed, with cost and reverse cost

SELECT * FROM pgr_ksp(
     'SELECT id, source, target, cost, reverse_cost FROM edge_table',
      2, 12, 2, 
      true   
   );
NOTICE:  Deprecated function
 seq | id1 | id2 | id3 | cost 
-----+-----+-----+-----+------
   0 |   0 |   2 |   4 |    1
   1 |   0 |   5 |   8 |    1
   2 |   0 |   6 |   9 |    1
   3 |   0 |   9 |  15 |    1
   4 |   0 |  12 |  -1 |    0
   5 |   1 |   2 |   4 |    1
   6 |   1 |   5 |   8 |    1
   7 |   1 |   6 |  11 |    1
   8 |   1 |  11 |  13 |    1
   9 |   1 |  12 |  -1 |    0
(10 rows)

SELECT * FROM pgr_ksp(
     'SELECT id, source, target, cost, reverse_cost FROM edge_table',
      2, 12, 2,
      directed:=true   
   );
 seq | path_id | path_seq | node | edge | cost | agg_cost 
-----+---------+----------+------+------+------+----------
   1 |       1 |        1 |    2 |    4 |    1 |        0
   2 |       1 |        2 |    5 |    8 |    1 |        1
   3 |       1 |        3 |    6 |    9 |    1 |        2
   4 |       1 |        4 |    9 |   15 |    1 |        3
   5 |       1 |        5 |   12 |   -1 |    0 |        4
   6 |       2 |        1 |    2 |    4 |    1 |        0
   7 |       2 |        2 |    5 |    8 |    1 |        1
   8 |       2 |        3 |    6 |   11 |    1 |        2
   9 |       2 |        4 |   11 |   13 |    1 |        3
  10 |       2 |        5 |   12 |   -1 |    0 |        4
(10 rows)

SELECT * FROM pgr_ksp(
     'SELECT id, source, target, cost, reverse_cost FROM edge_table',
      2, 12, 2
   );
 seq | path_id | path_seq | node | edge | cost | agg_cost 
-----+---------+----------+------+------+------+----------
   1 |       1 |        1 |    2 |    4 |    1 |        0
   2 |       1 |        2 |    5 |    8 |    1 |        1
   3 |       1 |        3 |    6 |    9 |    1 |        2
   4 |       1 |        4 |    9 |   15 |    1 |        3
   5 |       1 |        5 |   12 |   -1 |    0 |        4
   6 |       2 |        1 |    2 |    4 |    1 |        0
   7 |       2 |        2 |    5 |    8 |    1 |        1
   8 |       2 |        3 |    6 |   11 |    1 |        2
   9 |       2 |        4 |   11 |   13 |    1 |        3
  10 |       2 |        5 |   12 |   -1 |    0 |        4
(10 rows)

Examples for queries marked as directed with cost and reverse_cost columns

The examples in this section use the following Graph 1: Directed, with cost and reverse cost

SELECT * FROM pgr_ksp(
     'SELECT id, source, target, cost, reverse_cost FROM edge_table',
      2, 12, 2
   );
 seq | path_id | path_seq | node | edge | cost | agg_cost 
-----+---------+----------+------+------+------+----------
   1 |       1 |        1 |    2 |    4 |    1 |        0
   2 |       1 |        2 |    5 |    8 |    1 |        1
   3 |       1 |        3 |    6 |    9 |    1 |        2
   4 |       1 |        4 |    9 |   15 |    1 |        3
   5 |       1 |        5 |   12 |   -1 |    0 |        4
   6 |       2 |        1 |    2 |    4 |    1 |        0
   7 |       2 |        2 |    5 |    8 |    1 |        1
   8 |       2 |        3 |    6 |   11 |    1 |        2
   9 |       2 |        4 |   11 |   13 |    1 |        3
  10 |       2 |        5 |   12 |   -1 |    0 |        4
(10 rows)

SELECT * FROM pgr_ksp(
     'SELECT id, source, target, cost, reverse_cost FROM edge_table',
      2, 12, 2, heap_paths:=true
   );
 seq | path_id | path_seq | node | edge | cost | agg_cost 
-----+---------+----------+------+------+------+----------
   1 |       1 |        1 |    2 |    4 |    1 |        0
   2 |       1 |        2 |    5 |    8 |    1 |        1
   3 |       1 |        3 |    6 |    9 |    1 |        2
   4 |       1 |        4 |    9 |   15 |    1 |        3
   5 |       1 |        5 |   12 |   -1 |    0 |        4
   6 |       2 |        1 |    2 |    4 |    1 |        0
   7 |       2 |        2 |    5 |    8 |    1 |        1
   8 |       2 |        3 |    6 |   11 |    1 |        2
   9 |       2 |        4 |   11 |   13 |    1 |        3
  10 |       2 |        5 |   12 |   -1 |    0 |        4
  11 |       3 |        1 |    2 |    4 |    1 |        0
  12 |       3 |        2 |    5 |   10 |    1 |        1
  13 |       3 |        3 |   10 |   12 |    1 |        2
  14 |       3 |        4 |   11 |   13 |    1 |        3
  15 |       3 |        5 |   12 |   -1 |    0 |        4
(15 rows)

SELECT * FROM pgr_ksp(
     'SELECT id, source, target, cost, reverse_cost FROM edge_table',
      2, 12, 2, true, true
   );
 seq | path_id | path_seq | node | edge | cost | agg_cost 
-----+---------+----------+------+------+------+----------
   1 |       1 |        1 |    2 |    4 |    1 |        0
   2 |       1 |        2 |    5 |    8 |    1 |        1
   3 |       1 |        3 |    6 |    9 |    1 |        2
   4 |       1 |        4 |    9 |   15 |    1 |        3
   5 |       1 |        5 |   12 |   -1 |    0 |        4
   6 |       2 |        1 |    2 |    4 |    1 |        0
   7 |       2 |        2 |    5 |    8 |    1 |        1
   8 |       2 |        3 |    6 |   11 |    1 |        2
   9 |       2 |        4 |   11 |   13 |    1 |        3
  10 |       2 |        5 |   12 |   -1 |    0 |        4
  11 |       3 |        1 |    2 |    4 |    1 |        0
  12 |       3 |        2 |    5 |   10 |    1 |        1
  13 |       3 |        3 |   10 |   12 |    1 |        2
  14 |       3 |        4 |   11 |   13 |    1 |        3
  15 |       3 |        5 |   12 |   -1 |    0 |        4
(15 rows)

Examples for queries marked as undirected with cost and reverse_cost columns

The examples in this section use the following Graph 2: Undirected, with cost and reverse cost

SELECT * FROM pgr_ksp(
     'SELECT id, source, target, cost, reverse_cost FROM edge_table',
      2, 12, 2, directed:=false
   );
 seq | path_id | path_seq | node | edge | cost | agg_cost 
-----+---------+----------+------+------+------+----------
   1 |       1 |        1 |    2 |    2 |    1 |        0
   2 |       1 |        2 |    3 |    3 |    1 |        1
   3 |       1 |        3 |    4 |   16 |    1 |        2
   4 |       1 |        4 |    9 |   15 |    1 |        3
   5 |       1 |        5 |   12 |   -1 |    0 |        4
   6 |       2 |        1 |    2 |    4 |    1 |        0
   7 |       2 |        2 |    5 |    8 |    1 |        1
   8 |       2 |        3 |    6 |   11 |    1 |        2
   9 |       2 |        4 |   11 |   13 |    1 |        3
  10 |       2 |        5 |   12 |   -1 |    0 |        4
(10 rows)

SELECT * FROM pgr_ksp(
     'SELECT id, source, target, cost, reverse_cost FROM edge_table',
      2, 12, 2, false, true
   );
 seq | path_id | path_seq | node | edge | cost | agg_cost 
-----+---------+----------+------+------+------+----------
   1 |       1 |        1 |    2 |    2 |    1 |        0
   2 |       1 |        2 |    3 |    3 |    1 |        1
   3 |       1 |        3 |    4 |   16 |    1 |        2
   4 |       1 |        4 |    9 |   15 |    1 |        3
   5 |       1 |        5 |   12 |   -1 |    0 |        4
   6 |       2 |        1 |    2 |    4 |    1 |        0
   7 |       2 |        2 |    5 |    8 |    1 |        1
   8 |       2 |        3 |    6 |   11 |    1 |        2
   9 |       2 |        4 |   11 |   13 |    1 |        3
  10 |       2 |        5 |   12 |   -1 |    0 |        4
  11 |       3 |        1 |    2 |    4 |    1 |        0
  12 |       3 |        2 |    5 |   10 |    1 |        1
  13 |       3 |        3 |   10 |   12 |    1 |        2
  14 |       3 |        4 |   11 |   13 |    1 |        3
  15 |       3 |        5 |   12 |   -1 |    0 |        4
  16 |       4 |        1 |    2 |    4 |    1 |        0
  17 |       4 |        2 |    5 |   10 |    1 |        1
  18 |       4 |        3 |   10 |   12 |    1 |        2
  19 |       4 |        4 |   11 |   11 |    1 |        3
  20 |       4 |        5 |    6 |    9 |    1 |        4
  21 |       4 |        6 |    9 |   15 |    1 |        5
  22 |       4 |        7 |   12 |   -1 |    0 |        6
(22 rows)

Examples for queries marked as directed with cost column

The examples in this section use the following Graph 3: Directed, with cost

SELECT  * FROM pgr_ksp(
     'SELECT id, source, target, cost FROM edge_table',
      2, 3, 2
   );
 seq | path_id | path_seq | node | edge | cost | agg_cost 
-----+---------+----------+------+------+------+----------
(0 rows)

SELECT  * FROM pgr_ksp(
     'SELECT id, source, target, cost FROM edge_table',
      2, 12, 2
   );
 seq | path_id | path_seq | node | edge | cost | agg_cost 
-----+---------+----------+------+------+------+----------
   1 |       1 |        1 |    2 |    4 |    1 |        0
   2 |       1 |        2 |    5 |    8 |    1 |        1
   3 |       1 |        3 |    6 |    9 |    1 |        2
   4 |       1 |        4 |    9 |   15 |    1 |        3
   5 |       1 |        5 |   12 |   -1 |    0 |        4
   6 |       2 |        1 |    2 |    4 |    1 |        0
   7 |       2 |        2 |    5 |    8 |    1 |        1
   8 |       2 |        3 |    6 |   11 |    1 |        2
   9 |       2 |        4 |   11 |   13 |    1 |        3
  10 |       2 |        5 |   12 |   -1 |    0 |        4
(10 rows)

SELECT   * FROM pgr_ksp(
     'SELECT id, source, target, cost FROM edge_table',
      2, 12, 2, heap_paths:=true
   );
 seq | path_id | path_seq | node | edge | cost | agg_cost 
-----+---------+----------+------+------+------+----------
   1 |       1 |        1 |    2 |    4 |    1 |        0
   2 |       1 |        2 |    5 |    8 |    1 |        1
   3 |       1 |        3 |    6 |    9 |    1 |        2
   4 |       1 |        4 |    9 |   15 |    1 |        3
   5 |       1 |        5 |   12 |   -1 |    0 |        4
   6 |       2 |        1 |    2 |    4 |    1 |        0
   7 |       2 |        2 |    5 |    8 |    1 |        1
   8 |       2 |        3 |    6 |   11 |    1 |        2
   9 |       2 |        4 |   11 |   13 |    1 |        3
  10 |       2 |        5 |   12 |   -1 |    0 |        4
  11 |       3 |        1 |    2 |    4 |    1 |        0
  12 |       3 |        2 |    5 |   10 |    1 |        1
  13 |       3 |        3 |   10 |   12 |    1 |        2
  14 |       3 |        4 |   11 |   13 |    1 |        3
  15 |       3 |        5 |   12 |   -1 |    0 |        4
(15 rows)

SELECT  * FROM pgr_ksp(
     'SELECT id, source, target, cost FROM edge_table',
      2, 12, 2, true, true
   );
 seq | path_id | path_seq | node | edge | cost | agg_cost 
-----+---------+----------+------+------+------+----------
   1 |       1 |        1 |    2 |    4 |    1 |        0
   2 |       1 |        2 |    5 |    8 |    1 |        1
   3 |       1 |        3 |    6 |    9 |    1 |        2
   4 |       1 |        4 |    9 |   15 |    1 |        3
   5 |       1 |        5 |   12 |   -1 |    0 |        4
   6 |       2 |        1 |    2 |    4 |    1 |        0
   7 |       2 |        2 |    5 |    8 |    1 |        1
   8 |       2 |        3 |    6 |   11 |    1 |        2
   9 |       2 |        4 |   11 |   13 |    1 |        3
  10 |       2 |        5 |   12 |   -1 |    0 |        4
  11 |       3 |        1 |    2 |    4 |    1 |        0
  12 |       3 |        2 |    5 |   10 |    1 |        1
  13 |       3 |        3 |   10 |   12 |    1 |        2
  14 |       3 |        4 |   11 |   13 |    1 |        3
  15 |       3 |        5 |   12 |   -1 |    0 |        4
(15 rows)

Examples for queries marked as undirected with cost column

The examples in this section use the following Graph 4: Undirected, with cost

SELECT  * FROM pgr_ksp(
     'SELECT id, source, target, cost FROM edge_table',
      2, 12, 2, directed:=false
   );
 seq | path_id | path_seq | node | edge | cost | agg_cost 
-----+---------+----------+------+------+------+----------
   1 |       1 |        1 |    2 |    4 |    1 |        0
   2 |       1 |        2 |    5 |    8 |    1 |        1
   3 |       1 |        3 |    6 |    9 |    1 |        2
   4 |       1 |        4 |    9 |   15 |    1 |        3
   5 |       1 |        5 |   12 |   -1 |    0 |        4
   6 |       2 |        1 |    2 |    4 |    1 |        0
   7 |       2 |        2 |    5 |    8 |    1 |        1
   8 |       2 |        3 |    6 |   11 |    1 |        2
   9 |       2 |        4 |   11 |   13 |    1 |        3
  10 |       2 |        5 |   12 |   -1 |    0 |        4
(10 rows)

SELECT  * FROM pgr_ksp(
     'SELECT id, source, target, cost FROM edge_table',
      2, 12, 2, directed:=false, heap_paths:=true
   );
 seq | path_id | path_seq | node | edge | cost | agg_cost 
-----+---------+----------+------+------+------+----------
   1 |       1 |        1 |    2 |    4 |    1 |        0
   2 |       1 |        2 |    5 |    8 |    1 |        1
   3 |       1 |        3 |    6 |    9 |    1 |        2
   4 |       1 |        4 |    9 |   15 |    1 |        3
   5 |       1 |        5 |   12 |   -1 |    0 |        4
   6 |       2 |        1 |    2 |    4 |    1 |        0
   7 |       2 |        2 |    5 |    8 |    1 |        1
   8 |       2 |        3 |    6 |   11 |    1 |        2
   9 |       2 |        4 |   11 |   13 |    1 |        3
  10 |       2 |        5 |   12 |   -1 |    0 |        4
  11 |       3 |        1 |    2 |    4 |    1 |        0
  12 |       3 |        2 |    5 |   10 |    1 |        1
  13 |       3 |        3 |   10 |   12 |    1 |        2
  14 |       3 |        4 |   11 |   13 |    1 |        3
  15 |       3 |        5 |   12 |   -1 |    0 |        4
(15 rows)

The queries use the Sample Data network.

History

  • New in version 2.0.0
  • Added functionality version 2.1

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