22 Oct 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-9.0.0 COPT MOSEK-11.2.3 www.mosek.com HiGHS-1.15.0 HiGHS ORTOOLS-9.5 GLOP SOPLEX-8.1.0 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 43.7 203 494 2296 3894 255 scaled 27.4 1 5.27 12.8 59.7 101 6.63 solved 40 65 53 54 33 34 52 ======================================================= probs CLP COPT MOSEK HiGHS GLOP SPLX XOPT ======================================================= L1_sixm 269 2 4 99 f 9316 10 Linf_520c 36 6 65 872 239 9604 21 a2864 1645 73 449 3466 f t 2001 bdry2 t 62 41 t t t 215 cont1 184 2 818 413 259 542 5 cont11 963 5 634 510 1452 3720 35 datt256 106 7 177 t 471 t 99 dlr1 t 39 144 t f t 273 ex10 32 2 14 58 479 296 2 fhnw-bin1 t 28 993 2076 t 10445 97 fome13 40 1 4 22 141 180 2 graph40-40 556 19 47 893 f 7078 28 irish-e 297 8 5 26 t 405 14 neos 23 7 10 118 45 28 19 neos3 18 1 8 326 248 3103 1 neos3025225 663 13 8 165 96 3334 68 neos5052403 188 5 4 23 370 385 16 neos5251015 249 6 f 118 99 14990 36 ns1687037 233 9 f 302 553 2177 53 ns1688926 12 4 1 24 19 64 28 nug08-3rd 97 5 66 151 f 654 17 pds-100 16 17 21 72 334 2645 42 psched3-3 590 6 17 73 1558 364 17 qap15 10 2 4 18 117 11531 1 rail02 1024 18 34 81 t 776 31 rail4284 37 14 10 115 3107 624 69 rmine15 211 13 30 156 321 747 49 s82 2823 31 34 431 777 t 287 s100 353 8 4 43 9 2285 15 s250r10 127 7 3 20 5 242 13 savsched1 474 75 61 80 523 2420 68 scpm1 14 4 16 80 t 572 18 shs1023 43 7 13 59 186 335 52 square41 257 4 5 35 871 100 12 stat96v2 t 19 f 616 f t 124 storm_1000 91 20 23 188 236 1370 173 stp3d 104 6 5 50 t 1244 39 support10 42 2 3 21 28 74 5 tpl-tub-ws 4970 51 39 273 2254 t 95 woodlands09 115 32 131 359 3735 5929 71 Dual2_5000 f 284 t t t t 4174 Primal2_1000 t 242 639 t t t 2013 thk_48 f 5360 t 205 t t t thk_63 f 244 536 4588 t t 12363 L1_six1000 f 9 218 328 t t 45 L2CTA3D t 640 2706 587 t t 2537 degme t 23 389 151 t t 172 dlr2 t 330 3792 t t t 6682 set-cover t 85 144 11338 t t 165 energy1 t 98 70 399 f t 476 gamora 168 92 500 501 237 t 1132 groot f 125 f 2002 f t f heimdall f 65 88 328 767 t t hulk 2337 232 f t f t t loki 1082 1036 1743 t t t t mars f 178 t 5563 t t t nebula f 102 172 2129 2582 t t test03 t 132 116 1179 t t 462 test13 t 159 t t t t t test43 f 852 1488 m t t t test53 5001 89 19 166 t 9840 558 test63 t 300 t t t t t test83 f 1658 t 169 t t t test93 f 800 t 3847 t t t thor f 168 536 639 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 ================================================