v.net.flow(1grass)


NAME

   v.net.flow   -  Computes  the maximum flow between two sets of nodes in
   the network.

KEYWORDS

   vector, network, flow

SYNOPSIS

   v.net.flow
   v.net.flow --help
   v.net.flow   input=name     [arc_layer=string]      [node_layer=string]
   output=name  cut=name   [arc_column=name]    [arc_backward_column=name]
   [node_column=name]     [source_cats=range]     [source_where=sql_query]
   [sink_cats=range]    [sink_where=sql_query]    [--overwrite]   [--help]
   [--verbose]  [--quiet]  [--ui]

   Flags:
   --overwrite
       Allow output files to overwrite existing files

   --help
       Print usage summary

   --verbose
       Verbose module output

   --quiet
       Quiet module output

   --ui
       Force launching GUI dialog

   Parameters:
   input=name [required]
       Name of input vector map
       Or data source for direct OGR access

   arc_layer=string
       Arc layer
       Vector features can have category values in different layers.  This
       number  determines  which  layer  to use. When used with direct OGR
       access this is the layer name.
       Default: 1

   node_layer=string
       Node layer
       Vector features can have category values in different layers.  This
       number  determines  which  layer  to use. When used with direct OGR
       access this is the layer name.
       Default: 2

   output=name [required]
       Name for output vector map

   cut=name [required]
       Name for output vector map containing a minimum cut

   arc_column=name
       Arc forward/both direction(s) cost column (number)

   arc_backward_column=name
       Arc backward direction cost column (number)

   node_column=name
       Node cost column (number)

   source_cats=range
       Source category values
       Example: 1,3,7-9,13

   source_where=sql_query
       Source WHERE conditions of SQL statement without 'where' keyword
       Example: income < 1000 and inhab >= 10000

   sink_cats=range
       Sink category values
       Example: 1,3,7-9,13

   sink_where=sql_query
       Sink WHERE conditions of SQL statement without 'where' keyword
       Example: income < 1000 and inhab >= 10000

DESCRIPTION

   v.net.flow computes the maximum flow and minimum cut between  two  sets
   of nodes.

NOTES

   The  two sets of nodes are called sources and sink and v.net.flow finds
   the maximum flow from the former to the latter  ones.  Edge  capacities
   can   be   specified   by   arc_column   for   forward   direction  and
   arc_backward_column for backward direction. If the latter parameter  is
   omitted  then  the  same capacity is used in either direction. The sets
   are given by the respective cats, layer and where  parameters.  Maximum
   flow  corresponds  to  the  maximum  amount  of  water possibly flowing
   through the network preserving the capacity constraints and minimum cut
   to  the  set  of  edges of minimum total capacity completely separating
   sources from sinks.  The cut produced by this module corresponds to the
   first  fully  saturated edges from sources to sinks. An attribute table
   containing the flow information is linked to the output map. The  table
   consists  of  two  columns: cat and flow and stores the flow along each
   line. Negative flow means that  "water"  is  flowing  in  the  backward
   direction. Cut map contains the edges in the minimum cut.
   A famous result says that the total amount of water flowing is equal to
   the minimum cut.

EXAMPLES

   Find maximum  flow  from  factories  to  stores  using  SPEED  for  the
   capacities.
   v.net.flow input=roads output=roads_flow cut=roads_cut arc_column=SPEED \
              source_where="type=factory" sink_where="type=store"

   If  all  the  capacties are one then the minimum cut corresponds to the
   minimum number of edges separating sources from sinks.
   v.net.flow input=network output=flow cut=cut arc_column=ones \
              source_cats=1-10 sink_cats=100-100

SEE ALSO

    v.net, v.net.connectivity

AUTHORS

   Daniel Bundala, Google Summer of Code 2009, Student
   Wolf Bergenheim, Mentor

   Last changed: $Date: 2016-08-30 15:30:14 +0200 (Tue, 30 Aug 2016) $

SOURCE CODE

   Available at: v.net.flow source code (history)

   Main index | Vector index | Topics index | Keywords index  |  Graphical
   index | Full index

    2003-2016 GRASS Development Team, GRASS GIS 7.2.0 Reference Manual





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