Cost Matrix  Category¶
proposed
Warning
Proposed functions for next mayor release.
They are not officially in the current release.
They will likely officially be part of the next mayor release:
The functions make use of ANYINTEGER and ANYNUMERICAL
Name might not change. (But still can)
Signature might not change. (But still can)
Functionality might not change. (But still can)
pgTap tests have being done. But might need more.
Documentation might need refinement.
General Information¶
Synopsis¶
Traveling Sales Person  Family of functions needs as input a symmetric cost matrix and no edge (u, v) must value \(\infty\).
This collection of functions will return a cost matrix in form of a table.
Characteristics¶
The main Characteristics are:
Can be used as input to pgr_TSP.
Use directly when the resulting matrix is symmetric and there is no \(\infty\) value.
It will be the users responsibility to make the matrix symmetric.
By using geometric or harmonic average of the non symmetric values.
By using max or min the non symmetric values.
By setting the upper triangle to be the mirror image of the lower triangle.
By setting the lower triangle to be the mirror image of the upper triangle.
It is also the users responsibility to fix an \(\infty\) value.
Each function works as part of the family it belongs to.
It does not return a path.
Returns the sum of the costs of the shortest path for pair combination of nodes in the graph.
Process is done only on edges with positive costs.
Values are returned when there is a path.
When the starting vertex and ending vertex are the same, there is no path.
The aggregate cost in the non included values (v, v) is 0.
When the starting vertex and ending vertex are the different and there is no path.
The aggregate cost in the non included values (u, v) is \(\infty\).
Let be the case the values returned are stored in a table:
The unique index would be the pair:
(start_vid, end_vid)
.
Depending on the function and its parameters, the results can be symmetric.
The aggregate cost of (u, v) is the same as for (v, u).
Any duplicated value in the start vids are ignored.
The returned values are ordered:
start_vid
ascendingend_vid
ascending
Parameters¶
Used in:
Column 
Type 
Description 


Edges SQL as described below 

start vids 

Array of identifiers of starting vertices. 
Used in:
Column 
Type 
Description 


Edges SQL as described below 


Points SQL as described below 

start vids 

Array of identifiers of starting vertices. 
Optional parameters¶
Column 
Type 
default 
Description 





Inner query¶
Edges SQL¶
Used in:
Column 
Type 
Default 
Description 


ANYINTEGER 
Identifier of the edge. 


ANYINTEGER 
Identifier of the first end point vertex of the edge. 


ANYINTEGER 
Identifier of the second end point vertex of the edge. 


ANYNUMERICAL 
Weight of the edge ( 


ANYNUMERICAL 
1 
Weight of the edge (

Where:
 ANYINTEGER
SMALLINT
,INTEGER
,BIGINT
 ANYNUMERICAL
SMALLINT
,INTEGER
,BIGINT
,REAL
,FLOAT
Points SQL¶
Parameter 
Type 
Default 
Description 


ANYINTEGER 
value 
Identifier of the point.


ANYINTEGER 
Identifier of the “closest” edge to the point. 


ANYNUMERICAL 
Value in <0,1> that indicates the relative postition from the first end point of the edge. 




Value in [

Where:
 ANYINTEGER
SMALLINT
,INTEGER
,BIGINT
 ANYNUMERICAL
SMALLINT
,INTEGER
,BIGINT
,REAL
,FLOAT
Return Columns¶
Set of (start_vid, end_vid, agg_cost)
Column 
Type 
Description 



Identifier of the starting vertex. 


Identifier of the ending vertex. 


Aggregate cost from 
See Also¶
Indices and tables