4 Jan 2012 ================================== Benchmark of parallel LP solvers ================================== H. Mittelmann (mittelmann@asu.edu)

Logfiles of these runs at: plato.asu.edu/ftp/lp_logs/

This benchmark was run on a Linux-PC (2.67 GHz Intel Core 2 Quad).
The MPS-datafiles for all testcases are in one of (see column "s")

 miplib.zib.de/ [1]
 plato.asu.edu/ftp/lptestset/ [2]
 www.netlib.org/lp/data/ [3,7]
 www.sztaki.hu/~meszaros/public_ftp/lptestset/
(MISC[4], PROBLEMATIC[5], STOCHLP[6], INFEAS[8])
NOTE: files in [2-8] need to be expanded with emps in same directory!

The (dual) simplex, barrier, and concurrent methods were tested of:

 CPLEX-12.4.0.0  CPLEX
 GUROBI-4.6.0    www.gurobi.com/
 MOSEK-6.0.0.126 www.mosek.com
 XPRESS-7.2.1:   XPRESS

Scaled geometric mean of runtimes

              4.18  2.80  4.51   3.54  1.07  1.12  1.52  1.79  1.70   1    1.28
===============================================================================
s problem    CPX-S GRB-S  MSK-S XPR-S CPX-B GRB-B MSK-B XPR-B CPX-A GRB-A MSK-A
===============================================================================
2 L1_d10_40      t     t      t     t     t  1511     t     t     t  2318     t
2 Linf_520c      t 13805   4575  3815   253   110   296     t     t   109   485
2 cont1        561   498   3119   528   178   650   638   764   268   613  1084
2 cont11     16795  3104   3114  3964  1348   405   877   504  1605   223  1209 
2 cont4        541   423   5170   610   206    65   225    29   234    96   257
1 dano3mip      10     8     20    15     3     3     2     5     7     4     3
4 dbic1         41    46     43    45    21    29    25    34    37    31    29
3 dfl001         6     9     12     9     5     4     4     6     5     5     3
2 fome12        47    61     95    65    19    51    16    33    40    39    24
2 fome13       147   132    195   229    17    15    21    29    41    19    31
5 gen4           1     1      2     1     4     9   243     4     1     1     2
7 ken-18         3     3      8     3     4     4     5     6     6     4     6
5 l30            8     8     13     4     1     3     1     4    10     4     1
4 lp22          14    17     36    18     2     2     2     3     3     2     4
4 mod2          17    19     34    20     3     4     5     7     7     5     5
2 neos          11    26    156    27    26    33    51    38    14    33    70
2 neos1        242     9      3     6     6     5     5    13    10     6     4
2 neos2        170    28      2    11     6     6     6    10     8     5     3
2 neos3        927  1149     19    45    78    69    70    68   143   151    32
2 ns1687037      t  2014   2986 10632   431    99     f   166     t   123  3846
2 ns1688926     34    20     17    29    36    94     5   600    31    25    11
4 nsct2          1     1      1     1    19    10     7    25     1     1     1
4 nug15       1275   551   3505  1329    15    11    30    26    31    14    36
2 nug20          t 13304      t     t   191   777   364   286   671   873   527
2 nug08-3rd   1373  1054   2304  1204   551   329   437   425   766   495   555
2 pds-40         9    10      9    11    28    21    32    39    11    13    13
2 pds-100       38    40    116    49   160    97   457   164    55    56   175
3 qap12         61    63     95    69     2     2     4     4     4     2     5
3 qap15       1037   827   3461  1154    15    12    25    27    33    15    36
2 rail4284    1712    82    193  1484    59    81    87   122   119   103   111
4 rlfprim        1     1      3     1     1     1     1     3     1     1     2
8 self          56    43      1    64    17    31    12    18    22    36     1
2 sgpf5y6        1     2      3     1     5     4     4     6     2     3     4
4 stat96v1      61    85    997    86    81    53   167    70    76    58   121
4 stat96v4      99    84    887   404     3    49     5     4     4    56     8
6 storm-125      4     3      9     5     6    10    16     9     6     4    13
2 storm_1000   171    86    595   283   100   175   280   105   260   115   386
1 stp3d        316   146   1704   140    42    43    38    92   133    53    48
2 watson_2      40    15     25    38    16    18    19    23    38    20    23
4 world         22    18     38    25     4     7     5     8     7     6     6
===============================================================================
"t": time limit of 25,000 secds exceeded
Problem sizes
problem           rows    columns     nonzeros
===============================================
 L1_d10_40        80477     420366      2062656
 Linf_520c        93326      69004       566193
 cont1           160793      40398       399991
 cont11          160793      80396       439989
 cont4           160793      40398       398399
 dano3mip          3203      13873        79656
 dbic1            43200     183235      1038761                    
 dfl001            6072      12230        41873
 fome12           24285      48920       167492
 fome13           48569      97840       334984
 gen4              1538       4297       110174
 ken-18          105128     154699       512719
 l30               2702      15380        64790
 lp22              2959      13434        78994
 mod2             35665      31728       220116
 neos            479120      36786      1084461
 neos1           131582       1892       468094
 neos2           132569       1560       552596
 neos3           512209       6624      1542816
 ns1687037        50622      43749      1406739           
 ns1688926        32768      16587      1712128
 nsct2            23004      14981       686396
 nug15             6331      22275       110700
 nug20            15240      72600       304800
 nug08-3rd        19728      20448       139008
 pds-40           66845     212859       605678
 pds-100         156244     505360      1390539
 qap12             3193       8856        44244
 qap15             6331      22275       110700
 rail4284          4284    1092610     12372358
 rlfprim          57422       8052       264483
 self               960       7364      1148845
 sgpf5y6         246078     308634       902275
 stat96v1          5995     197472       588798
 stat96v4          3173      62212       490472
 stormG2-125      66186     157496       529317
 stormG2_1000    528186    1259121      4228817
 stp3d           159488     204880       662128
 watson_2        352014     671861      1843716
 world            35511      32734       220748
===============================================