COIN-OR::LEMON - Graph Library

Changes between Initial Version and Version 1 of MinCostFlowData


Ignore:
Timestamp:
10/25/13 16:23:25 (11 years ago)
Author:
Peter Kovacs
Comment:

First version

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  • MinCostFlowData

    v1 v1  
     1= Benchmark data for the minimum-cost flow problem =
     2
     3This page provides a benchmark data suite for the minimum-cost network flow problem.
     4
     5Most networks were generated with standard random generators:
     6[ftp://dimacs.rutgers.edu/pub/netflow/generators/network/netgen/ NETGEN],
     7[ftp://dimacs.rutgers.edu/pub/netflow/generators/network/gridgen/ GRIDGEN],
     8[ftp://dimacs.rutgers.edu/pub/netflow/generators/network/grid-on-torus/ GOTO], and
     9[ftp://dimacs.rutgers.edu/pub/netflow/generators/network/gridgraph/ GRIDGRAPH],
     10which are available at the [ftp://dimacs.rutgers.edu/pub/netflow/ FTP site]
     11of the [http://dimacs.rutgers.edu/Challenges/ 1st DIMACS Implementation Challenge] (1990-1991).
     12Other instances were generated based on either real-life
     13road networks or maximum flow problems arising in computer vision applications.
     14
     15All instances are given in [http://lpsolve.sourceforge.net/5.5/DIMACS_mcf.htm DIMACS format]
     16and contain only integer data.
     17
     18
     19== NETGEN instances ==
     20These networks were generated with [ftp://dimacs.rutgers.edu/pub/netflow/generators/network/netgen/ NETGEN].
     21
     22'''Parameters:'''
     23
     24'''Download:''' [http://lime.cs.elte.hu/~kpeter/data/mcf/netgen/]
     25
     26
     27== GRIDGEN instances ==
     28These networks were generated with [ftp://dimacs.rutgers.edu/pub/netflow/generators/network/gridgen/ GRIDGEN].
     29
     30'''Parameters:'''
     31
     32'''Download:''' [http://lime.cs.elte.hu/~kpeter/data/mcf/gridgen/]
     33
     34
     35== GOTO instances ==
     36These networks were generated with [ftp://dimacs.rutgers.edu/pub/netflow/generators/network/grid-on-torus/ GOTO] (Grid On Torus).
     37
     38'''Parameters:'''
     39
     40'''Download:''' [http://lime.cs.elte.hu/~kpeter/data/mcf/goto/]
     41
     42== GRIDGRAPH instances ==
     43These networks were generated with [ftp://dimacs.rutgers.edu/pub/netflow/generators/network/gridgraph/ GRIDGRAPH].
     44
     45'''Parameters:'''
     46
     47'''Download:''' [http://lime.cs.elte.hu/~kpeter/data/mcf/gridgraph/]
     48
     49
     50== ROAD instances ==
     51These instances were generated based on real-life road networks.
     52We used the TIGER/Line data files of several states of the USA,
     53which are available at the [http://www.dis.uniroma1.it/~challenge9/ web site]
     54of the [http://dimacs.rutgers.edu/Challenges/ 9th DIMACS Implementation Challenge] (2005-2006):
     55[http://www.dis.uniroma1.it/challenge9/data/tiger/].
     56
     57The cost of an arc is set to the travel time on the corresponding road section.
     58The number of supply and demand nodes are both set to ''sqrt''(''n'')/10
     59(where ''sqrt''(''n'') denotes the square root of the number of nodes in the network).
     60These nodes are selected randomly, and the supply-demand values are determined
     61by a maximum flow computation.
     62
     63  * ''ROAD-PATHS family.''
     64    The arc capacities are uniformly set to one.
     65  * ''ROAD-FLOW family.''
     66    The capacity of an arc is set 40, 60, 80, or 100 according to the road category.
     67
     68'''Download:''' [http://lime.cs.elte.hu/~kpeter/data/mcf/road/]
     69
     70
     71== VISION instances ==
     72These instances were generated based on large-scale
     73maximum flow problems arising in computer vision applications.
     74The original maximum flow problem instances were made available by the
     75[http://vision.csd.uwo.ca/ Computer Vision Research Group] at the
     76[http://www.csd.uwo.ca/ University of Western Ontario].
     77They can be accessed at [http://vision.csd.uwo.ca/data/maxflow/].
     78
     79We used some of the segmentation instances related to medical image analysis,
     80which are defined on 3D grids (the `bone_sub*_n6c100` files).
     81These networks were converted to minimum-cost maximum flow problem instances
     82applying different arc cost functions.
     83 
     84  * ''VISION-RND family.''
     85    The arc costs are selected uniformly at random.
     86  * ''VISION-PROP family.''
     87    The cost of an arc is approximately proportional to its capacity.
     88  * ''VISION-INV family.''
     89    The cost of an arc is approximately inversely proportional to its capacity.
     90
     91'''Download:''' [http://lime.cs.elte.hu/~kpeter/data/mcf/vision/]