1 Jul 2026 =============================================== LPopt Benchmark (find optimal basic solution) =============================================== H. Mittelmann (mittelmann@asu.edu) Logfiles of these runs at: plato.asu.edu/ftp/lpopt_logs/ This benchmark was run on a Linux-PC (i7-11700K, 3.6GHz, 64GB). The MPS-datafiles for most testcases are in one of (see column "s") miplib2010.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], NEW[9]) NOTE: some files in [2-9] need to be expanded with emps in same directory! Last 16 instances are undisclosed. The following codes were tested: CLP-1.17.7 github.com/coin-or/Clp COPT-8.0.0 COPT MOSEK-11.1.11 www.mosek.com HiGHS-1.15.0 HiGHS ORTOOLS-9.5 GLOP SOPLEX-8.0.0 soplex.zib.de/ XOPT-0.0.8 XOPT MATLAB has HiGHS as default dual-simplex solver starting with 2024a. Scaled shifted (by 10 sec) geometric mean of runtimes unscaled 1053 38.5 240 494 2296 3996 255 scaled 27.4 1 6.24 12.8 59.7 104 6.63 solved 40 65 52 54 33 31 52 ======================================================= probs CLP COPT MOSEK HiGHS GLOP SPLX XOPT ======================================================= L1_sixm 269 2 5 99 f t 10 Linf_520c 36 4 65 872 239 t 21 a2864 1645 55 451 3466 f t 2001 bdry2 t 59 f t t t 215 cont1 184 2 1435 413 259 276 5 cont11 963 5 f 510 1452 4250 35 datt256 106 3 174 t 471 t 99 dlr1 t 41 159 t f t 273 ex10 32 1 15 58 479 296 2 fhnw-bin1 t 26 870 2076 t t 97 fome13 40 1 17 22 141 206 2 graph40-40 556 13 48 893 f 10923 28 irish-e 297 5 5 26 t 572 14 neos 23 5 12 118 45 47 19 neos3 18 1 9 326 248 3898 1 neos3025225 663 11 10 165 96 500 68 neos5052403 188 4 4 23 370 385 16 neos5251015 249 3 20 118 99 3860 36 ns1687037 233 3 9083 302 553 2824 53 ns1688926 12 2 1 24 19 82 28 nug08-3rd 97 3 64 151 f 845 17 pds-100 16 15 21 72 334 1533 42 psched3-3 590 6 20 73 1558 399 17 qap15 10 1 4 18 117 4022 1 rail02 1024 18 33 81 t 3880 31 rail4284 37 12 13 115 3107 913 69 rmine15 211 13 30 156 321 1011 49 s82 2823 33 39 431 777 t 287 s100 353 4 4 43 9 740 15 s250r10 127 2 3 20 5 274 13 savsched1 474 45 67 80 523 4304 68 scpm1 14 5 16 80 t 653 18 shs1023 43 6 16 59 186 435 52 square41 257 3 5 35 871 125 12 stat96v2 t 13 8931 616 f 4036 124 storm_1000 91 11 23 188 236 3122 173 stp3d 104 6 6 50 t 1196 39 support10 42 2 3 21 28 113 5 tpl-tub-ws 4970 38 52 273 2254 t 95 woodlands09 115 22 129 359 3735 t 71 Dual2_5000 f 341 t t t t 4174 Primal2_1000 t 132 916 t t t 2013 thk_48 f 4957 t 205 t t t thk_63 f 213 t 4588 t t 12363 L1_six1000 f 9 240 328 t t 45 L2CTA3D t 779 2744 587 t t 2537 degme t 22 388 151 t t 172 dlr2 t 375 3831 t t t 6682 set-cover t 74 150 11338 t t 165 energy1 t 75 77 399 f t 476 gamora 168 70 527 501 237 t 1132 groot f 101 f 2002 f t f heimdall f 49 93 328 767 t t hulk 2337 229 f t f t t loki 1082 1058 1750 t t t t mars f 188 t 5563 t t t nebula f 96 163 2129 2582 t t test03 t 119 189 1179 t t 462 test13 t 151 t t t t t test43 f 846 t m t t t test53 5001 91 20 166 t 11836 558 test63 t 305 t t t t t test83 f 1516 t 169 t t t test93 f 616 t 3847 t t t thor f 157 447 639 2843 t t ======================================================= "t": 15,000 secds exceeded; "t,f,m" counted as max-time Problem sizes s problem rows columns nonzeros ================================================ 2 L1_sixm250obs 986069 428032 4280320 2 Linf_520c 93326 69004 566193 2 a2864 22117 200787 20078717 2 bdry2 376500 250998 1500003 2 cont1 160793 250998 399991 2 cont11 160793 80396 439989 2 datt256 11077 262144 1503732 2 dlr1 1735470 9121907 18365107 2 ex10 69609 17680 1179680 2 fhnw-bin1 772872 1141653 8611326 2 fome13 48569 97840 334984 2 graph40-40 360900 102600 1260900 2 irish-e 104260 61728 538809 2 neos 479120 36786 1084461 2 neos3 512209 6624 1542816 2 neos-3025225 91572 69846 9357951 2 neos5052403 38269 32868 4898304 2 neos-5251015 486531 136971 1955388 2 ns1687037 50622 43749 1406739 2 ns1688926 32768 16587 1712128 2 nug08-3rd 19728 20448 139008 2 pds-100 156244 505360 1390539 2 psched3-3 266228 79555 1062480 2 qap15 6331 22275 110700 1 rail02 95791 270869 756228 2 rail4284 4284 1092610 12372358 2 rmine15 358395 42438 879732 2 s82 87878 1690631 7022608 2 s100 14734 364417 2127672 2 s250r10 10963 273142 1572104 2 savsched1 295990 328575 1846351 2 scpm1 5000 500000 6250000 1 shs1023 133944 444625 1044725 2 square41 40161 62234 13628623 4 stat96v2 29089 957432 2852184 2 stormG2_1000 528186 1259121 4228817 1 stp3d 159488 204880 662128 2 support10 165685 14770 551152 2 tpl-tub-ws16 1154615 747691 4720567 2 woodlands09 194599 382147 2646003 2 Dual2_5000 30000600 33050602 93001800 2 Primal2_1000 1299380 2559380 5498140 2 thk_48 6366377 8609262 27802878 2 thk_63 5694387 7701112 21592414 2 L1_sixm1000obs 3082940 1426256 14262560 2 L2CTA3D 210000 10000000 30000000 9 degme 185501 659415 8127528 2 dlr2 7132926 38868107 78091589 2 set-cover 10000 1102008 20442268 for sizes of undisclosed problems see logfiles ================================================