## Solver Square Comparison: Considers all models.

 Date / Time: 01/07/08 20:11:19

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 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 : 1-CPLEX-0.trc Tracefile 2 : 7-IPOPT-1.trc Solvers used : CPLEX11 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 CPLEX11: optimal 94 - 2 - - 16 - 112 CPLEX11: locally optimal - - - - - - - - CPLEX11: feasible - - - - - - - - CPLEX11: infeasible - - - - - 4 - 4 CPLEX11: unbounded - - - - - - - - CPLEX11: fail - - - - - 2 - 2 CPLEX11: 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) Time (IPOPT-MEHROTRA) Ratio (CPLEX11/IPOPT-MEHROTRA) Obj (CPLEX11) Obj (IPOPT-MEHROTRA) aa01 1.5800 4.6500 0.340 55535.43638822 55535.43638976 aa03 0.8400 3.2500 0.258 49616.36363636 49616.36363779 air02 0.0600 1.5700 0.038 7640.00000000 7640.00000685 air06 0.8400 3.2600 0.258 49616.36363636 49616.36363779 baxter 0.8400 40.2200 0.021 56007255.67225311 56007255.68220491 car4 0.4200 1.2100 0.347 35.46037017 35.46038611 cari 0.1000 6.2300 0.016 581.89305779 581.89305780 co5 1.5300 5.3400 0.287 714469.55375105 714469.58102212 co9 6.4400 22.8100 0.282 946920.43028456 946920.49646302 cq5 1.1800 4.1700 0.283 400133.80747262 400133.80948837 cq9 3.5500 19.9100 0.178 505541.70980727 505541.70995496 crew1 0.2100 0.6400 0.328 20.55555556 20.55555579 ex3sta1 19.1400 41.0600 0.466 -63.07540325 -63.07540325 fit2d 0.4100 4.8800 0.084 -68464.29329383 -68464.29322686 fit2p 2.1300 0.9800 2.173 68464.29329383 68464.29329394 fome11 0.1800 170.9700 0.001 0.00000000 0.02571471 fome12 0.3400 350.2200 0.001 0.00000000 0.05142942 gen1 0.1200 4.5900 0.026 0.00000000 0.00000165 gen2 9.6300 7.1200 1.353 3.29279078 3.29279078 gen4 0.8600 12.6000 0.068 0.00000000 0.00000934 jendrec1 0.9600 3.1700 0.303 7028.46051135 7028.46051883 ken-11 0.2700 3.2900 0.082 -6972382262.51996900 -6972382262.51996000 ken-13 0.7800 6.9000 0.113 -1.0257394789482E+10 -1.0257394789482E+10 l30 12.7500 1.3300 9.586 0.95266138 0.94206073 lp22 17.3600 103.3100 0.168 458.94459411 458.94465074 maros-r7 1.3800 10.2000 0.135 1497185.16647964 1497185.16647971 mod2 3.1200 1183.6500 0.003 27737371.36444540 27737371.36747100 model10 7.2500 218.6100 0.033 -154599.62127674 -154599.62123266 model11 0.4600 2.0200 0.228 0.00000000 0.00102090 model5 2.2600 7.4700 0.303 -858440.72907282 -858440.71278465 model7 1.8900 25.3000 0.075 49380.08549287 49380.08549798 model9 0.7200 83.0200 0.009 -141123.09361307 -141123.09274295 nemspmm1 2.3200 2.0400 1.137 -327415.83567076 -327415.83567071 nemspmm2 2.2400 3.3700 0.665 -291794.83608908 -291794.82815276 nemswrld 23.5500 36.1000 0.652 260.30896600 260.30906290 nsir1 0.1000 24.4900 0.004 -28909033.00000000 -28909033.00000000 nsir2 0.2600 7.9100 0.033 -27175593.50000000 -27175593.49999990 nug15 1338.4500 2928.4300 0.457 1040.99404096 1040.99405336 osa-07 0.2000 19.4100 0.010 535722.51729935 535722.51731281 p010 0.5000 3.6300 0.138 1115047.91511082 1115047.91511097 p05 0.2400 1.5600 0.154 556000.27662588 556000.27662606 pcb3000 0.4900 1.7100 0.287 137416.41961282 137416.43123403 pilot87 8.0600 13.8600 0.582 301.71061586 301.71579925 qap15 1304.2100 2520.9100 0.517 1040.99404096 1040.99405335 r05 0.2600 7.6100 0.034 557831.85904066 557831.85904078 rat1 0.3200 14.8900 0.021 1999531.66287928 1999531.66288582 rat5 0.9000 13.4200 0.067 3083707.01043842 3083707.01043848 rosen10 0.2800 0.7700 0.364 -174215.45613870 -174215.45613866 scfxm1-2b-64 1.4000 4.1500 0.337 2877.56386371 2877.56386391 scfxm1-2r-64 0.9500 1.6300 0.583 2877.56386371 2877.56386378 scfxm1-2r-96 1.1200 7.5800 0.148 2891.70611371 2891.70611381 scrs8-2r-512 0.1600 101.6800 0.002 1074.09934157 1074.09934625 scsd8-2b-64 0.2600 1.0100 0.257 15.99866803 15.99866840 scsd8-2c-64 0.2800 1.0100 0.277 14.99923200 14.99923237 scsd8-2r-108 0.1100 0.5600 0.196 23.69999446 23.69999449 scsd8-2r-216 0.2300 1.2600 0.183 23.39998388 23.39998427 sctap1-2b-64 0.2800 2.0700 0.135 484.56000000 484.56000007 slptsk 0.8000 10.9700 0.073 29.89536602 29.89536603 south31 36.1200 3.2900 10.979 1818940197.10106000 1818940197.10111000 stocfor3 0.7200 2.2700 0.317 -39976.78394365 -39976.78394145 testbig 0.2400 1.1700 0.205 -60.42296073 -60.42296055 ulevimin 11.4800 48.5300 0.237 -5191101861.43196900 -5191101861.43194000 wood1p 0.0600 2.0200 0.030 1.44290241 1.44290249 world 2.6200 317.8000 0.008 40364873.11413520 40364873.11464940 bas1lp 8.1100 39.3900 0.206 363.00000000 363.00000000 cre-b 1.6800 3461.4800 0.000 23129639.88683240 23129639.88775590 cre-d 0.9400 2397.6500 0.000 24454969.76454920 24454969.76567270 fome13 0.6300 746.8400 0.001 0.00000000 0.10285884 fome20 2.9600 3440.8100 0.001 23821658640.00000000 23821658640.00090000 ken-18 5.0500 307.3200 0.016 -5.2217025287397E+10 -5.2217025287397E+10 kl02 0.3000 10.7300 0.028 215.25000000 215.25000045 nemsemm2 0.4900 5.8600 0.084 581079.57090469 581079.64415548 nsct2 0.8700 750.4900 0.001 -37175082.00000000 -37175081.99630610 osa-14 0.4500 91.1500 0.005 1106462.84473625 1106462.84478891 osa-30 1.0600 330.9300 0.003 2142139.87320976 2142139.87327632 pds-20 2.9800 3437.3600 0.001 23821658640.00000000 23821658640.00090000 rail507 5.3500 22.9600 0.233 172.14556668 172.14556730 rail516 2.4300 19.3900 0.125 182.00000000 182.00000081 rail582 3.3600 31.8800 0.105 209.71223296 209.71223351 rat7a 6.6500 37.5800 0.177 2074371.41572829 2074371.41572835 rlfddd 0.3600 12.2700 0.029 -13.00000000 -12.99999932 rlfdual 5.1500 57.9300 0.089 -1.00000000 -0.99999942 rlfprim 0.7800 82.3500 0.009 1.00000000 1.00000074 route 0.3200 9.6300 0.033 5941.65027667 5941.65028001 scfxm1-2r-256 5.9200 11.1800 0.530 2891.70611371 2891.70611409 scsd8-2r-432 0.5400 2.9600 0.182 25.79996956 25.79997250 sctap1-2r-480 0.8400 4.7800 0.176 248.50000000 248.50000011 t0331-4l 11.7100 22.9500 0.510 29730.03335194 29730.03335564 us04 0.3200 18.0200 0.018 17731.66666667 17731.66667683 dbic1 63.0600 1590.9200 0.040 -9768973.00000000 -9768973.00014886 dbir2 1.2800 227.6700 0.006 -6116916.50000000 -6116916.49999329 nemsemm1 1.0200 44.1500 0.023 512959.60078798 512959.68358962 nw14 1.0000 295.5400 0.003 61844.00000000 61844.00014182 osa-60 2.6900 1977.1600 0.001 4044072.50315742 4044072.50396332

 Modelname Time (CPLEX11) Time (IPOPT-MEHROTRA) Ratio (CPLEX11/IPOPT-MEHROTRA) Obj (CPLEX11) Obj (IPOPT-MEHROTRA) lpl3 1.0100 3853.7000 0.000 27318.00000000 30010.04036022 rail2586 974.3800 3601.2100 0.271 935.92182057 940.56063377

 Modelname Time (CPLEX11) Time (IPOPT-MEHROTRA) Ratio (CPLEX11/IPOPT-MEHROTRA) Obj (CPLEX11) Status (IPOPT-MEHROTRA) pds-06 0.3000 3600.2300 --- 27761037600.00000000 mstat( 6) sstat( 3) pds-10 0.6200 3600.2300 --- 26727094976.00000000 mstat( 6) sstat( 3) fome21 7.8200 3631.3600 --- 47346318912.00000000 mstat( 6) sstat( 3) nsct1 0.4900 3608.9800 --- -38922436.00000000 mstat( 6) sstat( 3) pds-30 6.5800 3663.2600 --- 21385445736.00000000 mstat( 6) sstat( 3) pds-40 11.1400 4005.3300 --- 18855198824.00000000 mstat( 6) sstat( 3) pds-50 18.1700 NA --- 16603525724.00000000 mstat(13) sstat(10) pds-60 26.6000 NA --- 14265904407.00000000 mstat(13) sstat(13) watson_1 15.4400 NA --- -1609.28079835 mstat(13) sstat(10) dbir1 0.7800 3614.5900 --- -8106707.00000000 mstat( 6) sstat( 3) pds-100 53.8100 29393.0100 --- 10928229968.00000000 mstat( 6) sstat( 3) pds-70 34.4900 NA --- 12241162812.00000000 mstat(13) sstat(10) pds-80 44.2700 NA --- 11469077462.00000000 mstat(13) sstat(13) pds-90 52.9900 NA --- 11087561635.00000000 mstat(13) sstat(13) rail4284 2431.5700 NA --- 1054.05449127 mstat(13) sstat(10) self 5.4800 NA --- 0.00000000 mstat(13) sstat(10)

 Modelname Time (CPLEX11) Time (IPOPT-MEHROTRA) Ratio (CPLEX11/IPOPT-MEHROTRA) Status (CPLEX11) Status (IPOPT-MEHROTRA) bgindy 0.1300 3604.1900 --- mstat( 4) sstat( 1) mstat( 6) sstat( 3) gosh 1.0000 3600.1600 --- mstat( 4) sstat( 1) mstat( 6) sstat( 3) lpl1 35.5700 3609.3600 --- mstat( 4) sstat( 1) mstat( 6) sstat( 3) sgpf5y6 24.3500 NA --- mstat( 4) sstat( 1) mstat(13) sstat(10)

 Modelname Time (CPLEX11) Time (IPOPT-MEHROTRA) Ratio (CPLEX11/IPOPT-MEHROTRA) Status (CPLEX11) Status (IPOPT-MEHROTRA) nug20 3604.0600 NA --- mstat( 6) sstat( 3) mstat(13) sstat(10) nug30 3678.4000 NA --- mstat( 6) sstat( 3) mstat(13) sstat(10)

 Modelname Time (CPLEX11) Obj (CPLEX11) aa01 1.5800 55535.43638822 aa03 0.8400 49616.36363636 air02 0.0600 7640.00000000 air06 0.8400 49616.36363636 baxter 0.8400 56007255.67225311 car4 0.4200 35.46037017 cari 0.1000 581.89305779 co5 1.5300 714469.55375105 co9 6.4400 946920.43028456 cq5 1.1800 400133.80747262 cq9 3.5500 505541.70980727 crew1 0.2100 20.55555556 ex3sta1 19.1400 -63.07540325 fit2d 0.4100 -68464.29329383 fit2p 2.1300 68464.29329383 fome11 0.1800 0.00000000 fome12 0.3400 0.00000000 gen1 0.1200 0.00000000 gen2 9.6300 3.29279078 gen4 0.8600 0.00000000 jendrec1 0.9600 7028.46051135 ken-11 0.2700 -6972382262.51996900 ken-13 0.7800 -1.0257394789482E+10 l30 12.7500 0.95266138 lp22 17.3600 458.94459411 lpl3 1.0100 27318.00000000 maros-r7 1.3800 1497185.16647964 mod2 3.1200 27737371.36444540 model10 7.2500 -154599.62127674 model11 0.4600 0.00000000 model5 2.2600 -858440.72907282 model7 1.8900 49380.08549287 model9 0.7200 -141123.09361307 nemspmm1 2.3200 -327415.83567076 nemspmm2 2.2400 -291794.83608908 nemswrld 23.5500 260.30896600 nsir1 0.1000 -28909033.00000000 nsir2 0.2600 -27175593.50000000 nug15 1338.4500 1040.99404096 osa-07 0.2000 535722.51729935 p010 0.5000 1115047.91511082 p05 0.2400 556000.27662588 pcb3000 0.4900 137416.41961282 pds-06 0.3000 27761037600.00000000 pds-10 0.6200 26727094976.00000000 pilot87 8.0600 301.71061586 qap15 1304.2100 1040.99404096 r05 0.2600 557831.85904066 rat1 0.3200 1999531.66287928 rat5 0.9000 3083707.01043842 rosen10 0.2800 -174215.45613870 scfxm1-2b-64 1.4000 2877.56386371 scfxm1-2r-64 0.9500 2877.56386371 scfxm1-2r-96 1.1200 2891.70611371 scrs8-2r-512 0.1600 1074.09934157 scsd8-2b-64 0.2600 15.99866803 scsd8-2c-64 0.2800 14.99923200 scsd8-2r-108 0.1100 23.69999446 scsd8-2r-216 0.2300 23.39998388 sctap1-2b-64 0.2800 484.56000000 slptsk 0.8000 29.89536602 south31 36.1200 1818940197.10106000 stocfor3 0.7200 -39976.78394365 testbig 0.2400 -60.42296073 ulevimin 11.4800 -5191101861.43196900 wood1p 0.0600 1.44290241 world 2.6200 40364873.11413520 bas1lp 8.1100 363.00000000 cre-b 1.6800 23129639.88683240 cre-d 0.9400 24454969.76454920 fome13 0.6300 0.00000000 fome20 2.9600 23821658640.00000000 fome21 7.8200 47346318912.00000000 ken-18 5.0500 -5.2217025287397E+10 kl02 0.3000 215.25000000 nemsemm2 0.4900 581079.57090469 nsct1 0.4900 -38922436.00000000 nsct2 0.8700 -37175082.00000000 osa-14 0.4500 1106462.84473625 osa-30 1.0600 2142139.87320976 pds-20 2.9800 23821658640.00000000 pds-30 6.5800 21385445736.00000000 pds-40 11.1400 18855198824.00000000 pds-50 18.1700 16603525724.00000000 pds-60 26.6000 14265904407.00000000 rail507 5.3500 172.14556668 rail516 2.4300 182.00000000 rail582 3.3600 209.71223296 rat7a 6.6500 2074371.41572829 rlfddd 0.3600 -13.00000000 rlfdual 5.1500 -1.00000000 rlfprim 0.7800 1.00000000 route 0.3200 5941.65027667 scfxm1-2r-256 5.9200 2891.70611371 scsd8-2r-432 0.5400 25.79996956 sctap1-2r-480 0.8400 248.50000000 t0331-4l 11.7100 29730.03335194 us04 0.3200 17731.66666667 watson_1 15.4400 -1609.28079835 dbic1 63.0600 -9768973.00000000 dbir1 0.7800 -8106707.00000000 dbir2 1.2800 -6116916.50000000 nemsemm1 1.0200 512959.60078798 nw14 1.0000 61844.00000000 osa-60 2.6900 4044072.50315742 pds-100 53.8100 10928229968.00000000 pds-70 34.4900 12241162812.00000000 pds-80 44.2700 11469077462.00000000 pds-90 52.9900 11087561635.00000000 rail2586 974.3800 935.92182057 rail4284 2431.5700 1054.05449127 self 5.4800 0.00000000

 Modelname Time (CPLEX11) Status (CPLEX11) bgindy -- mstat( 4) sstat( 1) gosh -- mstat( 4) sstat( 1) lpl1 -- mstat( 4) sstat( 1) sgpf5y6 -- mstat( 4) sstat( 1)

 Modelname Time (CPLEX11) Status (CPLEX11) nug20 -- mstat( 6) sstat( 3) nug30 -- mstat( 6) sstat( 3)

 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