## Solver Square Comparison: Considers all models.

 Date / Time: 01/07/08 20:11:20

Solver comparison utility.

Compares all solver return outcomes (for example optimal, locally optimal, infeasible, unbounded, fail) of one solver with all return outcomes of another solver. Interrupt denotes resource or iteration limit has been reached. Solver CPLEX11-Barrier is represented on the left (rows) and solver IPOPT-MEHROTRA on top (columns). See the solver return definitions for return codes.

Models having trace data only in one trace file are listed in the "no data" column of the other.

 Tracefile 1 : 2-CPLEX-1.trc Tracefile 2 : 7-IPOPT-1.trc Solvers used : CPLEX11-Barrier IPOPT-MEHROTRA Modeltype(s) LP

 IPOPT-MEHROTRA: optimal IPOPT-MEHROTRA: locally optimal IPOPT-MEHROTRA: feasible IPOPT-MEHROTRA: infeasible IPOPT-MEHROTRA: unbounded IPOPT-MEHROTRA: fail IPOPT-MEHROTRA: no data total CPLEX11-Barrier CPLEX11-Barrier: optimal 94 - 2 - - 17 - 113 CPLEX11-Barrier: locally optimal - - - - - - - - CPLEX11-Barrier: feasible - - - - - - - - CPLEX11-Barrier: infeasible - - - - - 2 - 2 CPLEX11-Barrier: unbounded - - - - - - - - CPLEX11-Barrier: fail - - - - - 3 - 3 CPLEX11-Barrier: no data - - - - - - - - total IPOPT-MEHROTRA 94 - 2 - - 22 - 118

### Solver return definitions:

 Outcome Model Status Solver Status optimal 1 or 15 1 locally optimal 2 any feasible 7 or 16 or 17 1 or 2 or 3 or 4 or 5 infeasible 4 or 5 or 19 1 unbounded 3 or 18 1 fail all other all other

### Solver Resource Times

• Models for each solver pair outcome. Listed are the solver resource times TIME(.) in seconds, as well as the ratio RATIO(./.) of resource times for the two solvers if both solved optimally.
• Also listed are the objective values OBJ(.) using both solvers. The better solution found is listed in boldface. A solution is considered better, if the relative objective function difference is greater than 1.00E-05. If both solutions are less than 1e-1, we use the absolute difference.
• Solver resource time ratios for a particular model are listed only if one solver has resource greater than 5.00E-02.

 Modelname Time (CPLEX11-Barrier) Time (IPOPT-MEHROTRA) Ratio (CPLEX11-Barrier/IPOPT-MEHROTRA) Obj (CPLEX11-Barrier) Obj (IPOPT-MEHROTRA) aa01 0.7100 4.6500 0.153 55535.43638822 55535.43638976 aa03 0.5700 3.2500 0.175 49616.36363636 49616.36363779 air02 0.1100 1.5700 0.070 7640.00000000 7640.00000685 air06 0.5600 3.2600 0.172 49616.36363636 49616.36363779 baxter 3.2000 40.2200 0.080 56007255.67225311 56007255.68220491 car4 0.4100 1.2100 0.339 35.46037017 35.46038611 cari 0.0500 6.2300 0.008 581.89305779 581.89305780 co5 0.7400 5.3400 0.139 714469.55375789 714469.58102212 co9 2.1600 22.8100 0.095 946920.43032251 946920.49646302 cq5 0.6700 4.1700 0.161 400133.80747262 400133.80948837 cq9 2.0900 19.9100 0.105 505541.70980727 505541.70995496 crew1 0.1200 0.6400 0.188 20.55555556 20.55555579 ex3sta1 1.8600 41.0600 0.045 -63.07540325 -63.07540325 fit2d 0.3400 4.8800 0.070 -68464.29329383 -68464.29322686 fit2p 0.2900 0.9800 0.296 68464.29329383 68464.29329394 fome11 0.1400 170.9700 0.001 0.00000000 0.02571471 fome12 0.3000 350.2200 0.001 0.00000000 0.05142942 gen1 0.6000 4.5900 0.131 0.00000038 0.00000165 gen2 3.0300 7.1200 0.426 3.29279078 3.29279078 gen4 29.9700 12.6000 2.379 0.00000036 0.00000934 jendrec1 0.9200 3.1700 0.290 7028.46051135 7028.46051883 ken-11 0.3800 3.2900 0.116 -6972382262.51996900 -6972382262.51996000 ken-13 1.0500 6.9000 0.152 -1.0257394789482E+10 -1.0257394789482E+10 l30 18.5400 1.3300 13.940 0.95266137 0.94206073 lp22 4.0600 103.3100 0.039 458.94459411 458.94465074 maros-r7 1.1000 10.2000 0.108 1497185.16647964 1497185.16647971 mod2 6.3300 1183.6500 0.005 27737371.36445580 27737371.36747100 model10 1.4800 218.6100 0.007 -154599.62122930 -154599.62123266 model11 0.4800 2.0200 0.238 0.00000000 0.00102090 model5 0.7300 7.4700 0.098 -858440.72907149 -858440.71278465 model7 0.4600 25.3000 0.018 49380.08549628 49380.08549798 model9 0.3300 83.0200 0.004 -141123.09360707 -141123.09274295 nemspmm1 0.5500 2.0400 0.270 -327415.83567076 -327415.83567071 nemspmm2 0.6700 3.3700 0.199 -291794.83608908 -291794.82815276 nemswrld 3.1600 36.1000 0.088 260.30896600 260.30906290 nsir1 1.2600 24.4900 0.051 -28909033.00000000 -28909033.00000000 nsir2 1.4100 7.9100 0.178 -27175593.50000000 -27175593.49999990 nug15 51.6300 2928.4300 0.018 1040.99404096 1040.99405336 osa-07 0.2800 19.4100 0.014 535722.51729935 535722.51731281 p010 0.9900 3.6300 0.273 1115047.91511082 1115047.91511097 p05 0.3500 1.5600 0.224 556000.27662588 556000.27662606 pcb3000 0.5200 1.7100 0.304 137416.41961282 137416.43123403 pilot87 2.4900 13.8600 0.180 301.71034746 301.71579925 qap15 49.1100 2520.9100 0.019 1040.99404096 1040.99405335 r05 0.3800 7.6100 0.050 557831.85904066 557831.85904078 rat1 0.2700 14.8900 0.018 1999531.66287928 1999531.66288582 rat5 0.6100 13.4200 0.045 3083707.01043842 3083707.01043848 rosen10 0.1500 0.7700 0.195 -174215.45613870 -174215.45613866 scfxm1-2b-64 2.2300 4.1500 0.537 2877.56386371 2877.56386391 scfxm1-2r-64 0.7000 1.6300 0.429 2877.56386371 2877.56386378 scfxm1-2r-96 1.1100 7.5800 0.146 2891.70611371 2891.70611381 scrs8-2r-512 0.1400 101.6800 0.001 1074.09934157 1074.09934625 scsd8-2b-64 0.4900 1.0100 0.485 15.99866803 15.99866840 scsd8-2c-64 0.4600 1.0100 0.455 14.99923200 14.99923237 scsd8-2r-108 0.8800 0.5600 1.571 23.70000000 23.69999449 scsd8-2r-216 1.5200 1.2600 1.206 23.39998576 23.39998427 sctap1-2b-64 0.4900 2.0700 0.237 484.56000000 484.56000007 slptsk 1.4900 10.9700 0.136 29.89536602 29.89536603 south31 0.8000 3.2900 0.243 1818940197.10106000 1818940197.10111000 stocfor3 0.6300 2.2700 0.278 -39976.78394365 -39976.78394145 testbig 0.2800 1.1700 0.239 -60.42296073 -60.42296055 ulevimin 3.8800 48.5300 0.080 -5191101861.43196900 -5191101861.43194000 wood1p 0.1000 2.0200 0.050 1.44290241 1.44290249 world 6.2400 317.8000 0.020 40364873.11417350 40364873.11464940 bas1lp 9.0900 39.3900 0.231 363.00000000 363.00000000 cre-b 2.3300 3461.4800 0.001 23129639.88683240 23129639.88775590 cre-d 1.7400 2397.6500 0.001 24454969.76454920 24454969.76567270 fome13 0.6700 746.8400 0.001 0.00000000 0.10285884 fome20 16.6900 3440.8100 0.005 23821658640.00000000 23821658640.00090000 ken-18 6.9000 307.3200 0.022 -5.2217025287397E+10 -5.2217025287397E+10 kl02 0.3600 10.7300 0.034 215.25000000 215.25000045 nemsemm2 0.7400 5.8600 0.126 581079.57090469 581079.64415548 nsct2 47.4700 750.4900 0.063 -37175082.00000000 -37175081.99630610 osa-14 0.6800 91.1500 0.007 1106462.84473625 1106462.84478891 osa-30 1.6600 330.9300 0.005 2142139.87320976 2142139.87327632 pds-20 16.5600 3437.3600 0.005 23821658640.00000000 23821658640.00090000 rail507 1.3200 22.9600 0.057 172.14556668 172.14556730 rail516 0.9600 19.3900 0.050 182.00000000 182.00000081 rail582 1.3800 31.8800 0.043 209.71223296 209.71223351 rat7a 3.6000 37.5800 0.096 2074371.41572829 2074371.41572835 rlfddd 1.8900 12.2700 0.154 -13.00000000 -12.99999932 rlfdual 7.5700 57.9300 0.131 -1.00000000 -0.99999942 rlfprim 2.6400 82.3500 0.032 1.00000000 1.00000074 route 4.3900 9.6300 0.456 5941.65027667 5941.65028001 scfxm1-2r-256 4.1000 11.1800 0.367 2891.70611371 2891.70611409 scsd8-2r-432 1.1800 2.9600 0.399 25.79999802 25.79997250 sctap1-2r-480 1.0800 4.7800 0.226 248.50000000 248.50000011 t0331-4l 1.8000 22.9500 0.078 29730.03335194 29730.03335564 us04 0.3600 18.0200 0.020 17731.66666667 17731.66667683 dbic1 38.8200 1590.9200 0.024 -9768973.00000000 -9768973.00014886 dbir2 20.4100 227.6700 0.090 -6116916.50000000 -6116916.49999329 nemsemm1 4.1900 44.1500 0.095 512959.60078798 512959.68358962 nw14 3.3400 295.5400 0.011 61844.00000000 61844.00014182 osa-60 3.9200 1977.1600 0.002 4044072.50315742 4044072.50396332

 Modelname Time (CPLEX11-Barrier) Time (IPOPT-MEHROTRA) Ratio (CPLEX11-Barrier/IPOPT-MEHROTRA) Obj (CPLEX11-Barrier) Obj (IPOPT-MEHROTRA) lpl3 1.2000 3853.7000 0.000 27318.00000000 30010.04036022 rail2586 62.4500 3601.2100 0.017 935.92182057 940.56063377

 Modelname Time (CPLEX11-Barrier) Time (IPOPT-MEHROTRA) Ratio (CPLEX11-Barrier/IPOPT-MEHROTRA) Obj (CPLEX11-Barrier) Status (IPOPT-MEHROTRA) pds-06 1.1000 3600.2300 --- 27761037600.00000000 mstat( 6) sstat( 3) pds-10 3.8500 3600.2300 --- 26727094976.00000000 mstat( 6) sstat( 3) fome21 41.4100 3631.3600 --- 47346318912.00000000 mstat( 6) sstat( 3) nsct1 67.2600 3608.9800 --- -38922436.00000000 mstat( 6) sstat( 3) nug20 730.1200 NA --- 2181.60332164 mstat(13) sstat(10) pds-30 47.3700 3663.2600 --- 21385445736.00000000 mstat( 6) sstat( 3) pds-40 92.8500 4005.3300 --- 18855198824.00000000 mstat( 6) sstat( 3) pds-50 133.8200 NA --- 16603525724.00000000 mstat(13) sstat(10) pds-60 193.9800 NA --- 14265904407.00000000 mstat(13) sstat(13) watson_1 35.1200 NA --- -1609.27855376 mstat(13) sstat(10) dbir1 29.0600 3614.5900 --- -8106707.00000000 mstat( 6) sstat( 3) pds-100 510.1200 29393.0100 --- 10928229968.00000000 mstat( 6) sstat( 3) pds-70 268.5000 NA --- 12241162812.00000000 mstat(13) sstat(10) pds-80 329.2600 NA --- 11469077462.00000000 mstat(13) sstat(13) pds-90 385.6200 NA --- 11087561635.00000000 mstat(13) sstat(13) rail4284 147.2300 NA --- 1054.05449127 mstat(13) sstat(10) self 3.3600 NA --- 0.00000000 mstat(13) sstat(10)

 Modelname Time (CPLEX11-Barrier) Time (IPOPT-MEHROTRA) Ratio (CPLEX11-Barrier/IPOPT-MEHROTRA) Status (CPLEX11-Barrier) Status (IPOPT-MEHROTRA) bgindy 0.2500 3604.1900 --- mstat( 4) sstat( 1) mstat( 6) sstat( 3) gosh 1.8100 3600.1600 --- mstat( 4) sstat( 1) mstat( 6) sstat( 3)

 Modelname Time (CPLEX11-Barrier) Time (IPOPT-MEHROTRA) Ratio (CPLEX11-Barrier/IPOPT-MEHROTRA) Status (CPLEX11-Barrier) Status (IPOPT-MEHROTRA) lpl1 NA 3609.3600 --- mstat(13) sstat(13) mstat( 6) sstat( 3) sgpf5y6 NA NA --- mstat(13) sstat(13) mstat(13) sstat(10) nug30 163.0500 NA --- mstat(14) sstat( 4) mstat(13) sstat(10)

 Modelname Time (CPLEX11-Barrier) Obj (CPLEX11-Barrier) aa01 0.7100 55535.43638822 aa03 0.5700 49616.36363636 air02 0.1100 7640.00000000 air06 0.5600 49616.36363636 baxter 3.2000 56007255.67225311 car4 0.4100 35.46037017 cari 0.0500 581.89305779 co5 0.7400 714469.55375789 co9 2.1600 946920.43032251 cq5 0.6700 400133.80747262 cq9 2.0900 505541.70980727 crew1 0.1200 20.55555556 ex3sta1 1.8600 -63.07540325 fit2d 0.3400 -68464.29329383 fit2p 0.2900 68464.29329383 fome11 0.1400 0.00000000 fome12 0.3000 0.00000000 gen1 0.6000 0.00000038 gen2 3.0300 3.29279078 gen4 29.9700 0.00000036 jendrec1 0.9200 7028.46051135 ken-11 0.3800 -6972382262.51996900 ken-13 1.0500 -1.0257394789482E+10 l30 18.5400 0.95266137 lp22 4.0600 458.94459411 lpl3 1.2000 27318.00000000 maros-r7 1.1000 1497185.16647964 mod2 6.3300 27737371.36445580 model10 1.4800 -154599.62122930 model11 0.4800 0.00000000 model5 0.7300 -858440.72907149 model7 0.4600 49380.08549628 model9 0.3300 -141123.09360707 nemspmm1 0.5500 -327415.83567076 nemspmm2 0.6700 -291794.83608908 nemswrld 3.1600 260.30896600 nsir1 1.2600 -28909033.00000000 nsir2 1.4100 -27175593.50000000 nug15 51.6300 1040.99404096 osa-07 0.2800 535722.51729935 p010 0.9900 1115047.91511082 p05 0.3500 556000.27662588 pcb3000 0.5200 137416.41961282 pds-06 1.1000 27761037600.00000000 pds-10 3.8500 26727094976.00000000 pilot87 2.4900 301.71034746 qap15 49.1100 1040.99404096 r05 0.3800 557831.85904066 rat1 0.2700 1999531.66287928 rat5 0.6100 3083707.01043842 rosen10 0.1500 -174215.45613870 scfxm1-2b-64 2.2300 2877.56386371 scfxm1-2r-64 0.7000 2877.56386371 scfxm1-2r-96 1.1100 2891.70611371 scrs8-2r-512 0.1400 1074.09934157 scsd8-2b-64 0.4900 15.99866803 scsd8-2c-64 0.4600 14.99923200 scsd8-2r-108 0.8800 23.70000000 scsd8-2r-216 1.5200 23.39998576 sctap1-2b-64 0.4900 484.56000000 slptsk 1.4900 29.89536602 south31 0.8000 1818940197.10106000 stocfor3 0.6300 -39976.78394365 testbig 0.2800 -60.42296073 ulevimin 3.8800 -5191101861.43196900 wood1p 0.1000 1.44290241 world 6.2400 40364873.11417350 bas1lp 9.0900 363.00000000 cre-b 2.3300 23129639.88683240 cre-d 1.7400 24454969.76454920 fome13 0.6700 0.00000000 fome20 16.6900 23821658640.00000000 fome21 41.4100 47346318912.00000000 ken-18 6.9000 -5.2217025287397E+10 kl02 0.3600 215.25000000 nemsemm2 0.7400 581079.57090469 nsct1 67.2600 -38922436.00000000 nsct2 47.4700 -37175082.00000000 nug20 730.1200 2181.60332164 osa-14 0.6800 1106462.84473625 osa-30 1.6600 2142139.87320976 pds-20 16.5600 23821658640.00000000 pds-30 47.3700 21385445736.00000000 pds-40 92.8500 18855198824.00000000 pds-50 133.8200 16603525724.00000000 pds-60 193.9800 14265904407.00000000 rail507 1.3200 172.14556668 rail516 0.9600 182.00000000 rail582 1.3800 209.71223296 rat7a 3.6000 2074371.41572829 rlfddd 1.8900 -13.00000000 rlfdual 7.5700 -1.00000000 rlfprim 2.6400 1.00000000 route 4.3900 5941.65027667 scfxm1-2r-256 4.1000 2891.70611371 scsd8-2r-432 1.1800 25.79999802 sctap1-2r-480 1.0800 248.50000000 t0331-4l 1.8000 29730.03335194 us04 0.3600 17731.66666667 watson_1 35.1200 -1609.27855376 dbic1 38.8200 -9768973.00000000 dbir1 29.0600 -8106707.00000000 dbir2 20.4100 -6116916.50000000 nemsemm1 4.1900 512959.60078798 nw14 3.3400 61844.00000000 osa-60 3.9200 4044072.50315742 pds-100 510.1200 10928229968.00000000 pds-70 268.5000 12241162812.00000000 pds-80 329.2600 11469077462.00000000 pds-90 385.6200 11087561635.00000000 rail2586 62.4500 935.92182057 rail4284 147.2300 1054.05449127 self 3.3600 0.00000000

 Modelname Time (CPLEX11-Barrier) Status (CPLEX11-Barrier) bgindy -- mstat( 4) sstat( 1) gosh -- mstat( 4) sstat( 1)

 Modelname Time (CPLEX11-Barrier) Status (CPLEX11-Barrier) lpl1 -- mstat(13) sstat(13) sgpf5y6 -- mstat(13) sstat(13) nug30 -- mstat(14) sstat( 4)

 Modelname Time (IPOPT-MEHROTRA) Obj (IPOPT-MEHROTRA) aa01 4.6500 55535.43638976 aa03 3.2500 49616.36363779 air02 1.5700 7640.00000685 air06 3.2600 49616.36363779 baxter 40.2200 56007255.68220491 car4 1.2100 35.46038611 cari 6.2300 581.89305780 co5 5.3400 714469.58102212 co9 22.8100 946920.49646302 cq5 4.1700 400133.80948837 cq9 19.9100 505541.70995496 crew1 0.6400 20.55555579 ex3sta1 41.0600 -63.07540325 fit2d 4.8800 -68464.29322686 fit2p 0.9800 68464.29329394 fome11 170.9700 0.02571471 fome12 350.2200 0.05142942 gen1 4.5900 0.00000165 gen2 7.1200 3.29279078 gen4 12.6000 0.00000934 jendrec1 3.1700 7028.46051883 ken-11 3.2900 -6972382262.51996000 ken-13 6.9000 -1.0257394789482E+10 l30 1.3300 0.94206073 lp22 103.3100 458.94465074 maros-r7 10.2000 1497185.16647971 mod2 1183.6500 27737371.36747100 model10 218.6100 -154599.62123266 model11 2.0200 0.00102090 model5 7.4700 -858440.71278465 model7 25.3000 49380.08549798 model9 83.0200 -141123.09274295 nemspmm1 2.0400 -327415.83567071 nemspmm2 3.3700 -291794.82815276 nemswrld 36.1000 260.30906290 nsir1 24.4900 -28909033.00000000 nsir2 7.9100 -27175593.49999990 nug15 2928.4300 1040.99405336 osa-07 19.4100 535722.51731281 p010 3.6300 1115047.91511097 p05 1.5600 556000.27662606 pcb3000 1.7100 137416.43123403 pilot87 13.8600 301.71579925 qap15 2520.9100 1040.99405335 r05 7.6100 557831.85904078 rat1 14.8900 1999531.66288582 rat5 13.4200 3083707.01043848 rosen10 0.7700 -174215.45613866 scfxm1-2b-64 4.1500 2877.56386391 scfxm1-2r-64 1.6300 2877.56386378 scfxm1-2r-96 7.5800 2891.70611381 scrs8-2r-512 101.6800 1074.09934625 scsd8-2b-64 1.0100 15.99866840 scsd8-2c-64 1.0100 14.99923237 scsd8-2r-108 0.5600 23.69999449 scsd8-2r-216 1.2600 23.39998427 sctap1-2b-64 2.0700 484.56000007 slptsk 10.9700 29.89536603 south31 3.2900 1818940197.10111000 stocfor3 2.2700 -39976.78394145 testbig 1.1700 -60.42296055 ulevimin 48.5300 -5191101861.43194000 wood1p 2.0200 1.44290249 world 317.8000 40364873.11464940 bas1lp 39.3900 363.00000000 cre-b 3461.4800 23129639.88775590 cre-d 2397.6500 24454969.76567270 fome13 746.8400 0.10285884 fome20 3440.8100 23821658640.00090000 ken-18 307.3200 -5.2217025287397E+10 kl02 10.7300 215.25000045 nemsemm2 5.8600 581079.64415548 nsct2 750.4900 -37175081.99630610 osa-14 91.1500 1106462.84478891 osa-30 330.9300 2142139.87327632 pds-20 3437.3600 23821658640.00090000 rail507 22.9600 172.14556730 rail516 19.3900 182.00000081 rail582 31.8800 209.71223351 rat7a 37.5800 2074371.41572835 rlfddd 12.2700 -12.99999932 rlfdual 57.9300 -0.99999942 rlfprim 82.3500 1.00000074 route 9.6300 5941.65028001 scfxm1-2r-256 11.1800 2891.70611409 scsd8-2r-432 2.9600 25.79997250 sctap1-2r-480 4.7800 248.50000011 t0331-4l 22.9500 29730.03335564 us04 18.0200 17731.66667683 dbic1 1590.9200 -9768973.00014886 dbir2 227.6700 -6116916.49999329 nemsemm1 44.1500 512959.68358962 nw14 295.5400 61844.00014182 osa-60 1977.1600 4044072.50396332

 Modelname Time (IPOPT-MEHROTRA) Obj (IPOPT-MEHROTRA) lpl3 3853.7000 30010.04036022 rail2586 3601.2100 940.56063377