| 1 | = Benchmark data for the minimum-cost flow problem = |
| 2 | |
| 3 | This page provides a benchmark data suite for the minimum-cost network flow problem. |
| 4 | |
| 5 | Most 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], |
| 10 | which are available at the [ftp://dimacs.rutgers.edu/pub/netflow/ FTP site] |
| 11 | of the [http://dimacs.rutgers.edu/Challenges/ 1st DIMACS Implementation Challenge] (1990-1991). |
| 12 | Other instances were generated based on either real-life |
| 13 | road networks or maximum flow problems arising in computer vision applications. |
| 14 | |
| 15 | All instances are given in [http://lpsolve.sourceforge.net/5.5/DIMACS_mcf.htm DIMACS format] |
| 16 | and contain only integer data. |
| 17 | |
| 18 | |
| 19 | == NETGEN instances == |
| 20 | These 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 == |
| 28 | These 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 == |
| 36 | These 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 == |
| 43 | These 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 == |
| 51 | These instances were generated based on real-life road networks. |
| 52 | We used the TIGER/Line data files of several states of the USA, |
| 53 | which are available at the [http://www.dis.uniroma1.it/~challenge9/ web site] |
| 54 | of the [http://dimacs.rutgers.edu/Challenges/ 9th DIMACS Implementation Challenge] (2005-2006): |
| 55 | [http://www.dis.uniroma1.it/challenge9/data/tiger/]. |
| 56 | |
| 57 | The cost of an arc is set to the travel time on the corresponding road section. |
| 58 | The 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). |
| 60 | These nodes are selected randomly, and the supply-demand values are determined |
| 61 | by 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 == |
| 72 | These instances were generated based on large-scale |
| 73 | maximum flow problems arising in computer vision applications. |
| 74 | The 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]. |
| 77 | They can be accessed at [http://vision.csd.uwo.ca/data/maxflow/]. |
| 78 | |
| 79 | We used some of the segmentation instances related to medical image analysis, |
| 80 | which are defined on 3D grids (the `bone_sub*_n6c100` files). |
| 81 | These networks were converted to minimum-cost maximum flow problem instances |
| 82 | applying 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/] |