## Solver Square Comparison: Considers all models.

 Date / Time: 09/02/07 12:02:38

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 CPLEX-BARRIER is represented on the left (rows) and solver IPOPT 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 : 5-IPOPT-0.trc Solvers used : CPLEX-BARRIER IPOPT Modeltype(s) LP

 IPOPT: optimal IPOPT: locally optimal IPOPT: feasible IPOPT: infeasible IPOPT: unbounded IPOPT: fail IPOPT: no data total CPLEX-BARRIER CPLEX-BARRIER: optimal 86 - 8 - - 19 - 113 CPLEX-BARRIER: locally optimal - - - - - - - - CPLEX-BARRIER: feasible - - - - - - - - CPLEX-BARRIER: infeasible - - - 2 - - - 2 CPLEX-BARRIER: unbounded - - - - - - - - CPLEX-BARRIER: fail - - - - - 3 - 3 CPLEX-BARRIER: no data - - - - - - - - total IPOPT 86 - 8 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 (CPLEX-BARRIER) Time (IPOPT) Ratio (CPLEX-BARRIER/IPOPT) Obj (CPLEX-BARRIER) Obj (IPOPT) aa01 0.7300 11.8300 0.062 55535.43638822 55535.43640912 aa03 0.5800 9.6900 0.060 49616.36363636 49616.36363649 air02 0.1200 2.6200 0.046 7640.00000000 7640.00000065 air06 0.5700 9.7000 0.059 49616.36363636 49616.36363649 car4 0.4200 2.7900 0.151 35.46037017 35.46037020 cari 0.0400 7.1300 0.006 581.89305779 581.89305792 co5 0.7600 11.7700 0.065 714469.55375789 714469.64279909 co9 2.2200 32.9900 0.067 946920.43032251 946920.50623726 cq5 0.6700 11.9800 0.056 400133.80747262 400133.80773115 cq9 2.1500 56.5900 0.038 505541.70980727 505541.70980948 crew1 0.1200 1.2900 0.093 20.55555556 20.55556529 ex3sta1 1.9700 34.0400 0.058 -63.07540325 -63.07540325 fit2d 0.3400 5.7000 0.060 -68464.29329383 -68464.29329298 fit2p 0.3000 1.8800 0.160 68464.29329383 68464.29330248 fome11 0.1600 134.2800 0.001 0.00000000 0.00292352 fome12 0.3200 274.4000 0.001 0.00000000 0.00584704 gen1 0.7000 3.9600 0.177 0.00000054 0.00000796 gen2 2.9500 10.0500 0.294 3.29279078 3.29279078 gen4 20.4000 13.5000 1.511 0.00000084 0.00001301 jendrec1 0.9000 6.1200 0.147 7028.46051135 7028.46051757 ken-11 0.3800 6.6200 0.057 -6972382262.51996900 -6972382262.51996900 ken-13 1.0700 25.6900 0.042 -1.0257394789482E+10 -1.0257394789482E+10 l30 27.3600 3.0500 8.970 0.95266138 0.95207806 lp22 4.2000 186.6600 0.023 458.94459411 459.00933768 maros-r7 1.1500 44.4100 0.026 1497185.16647964 1497185.16647966 mod2 6.5500 198.4900 0.033 27737371.36445580 27737371.36448260 model11 0.5100 36.3500 0.014 0.00000000 0.00010208 model5 0.7200 297.0900 0.002 -858440.72907149 -858440.72839567 model7 0.4800 6.5400 0.073 49380.08549628 49380.08552185 model9 0.3400 76.5400 0.004 -141123.09360707 -141123.08766642 nemspmm1 0.5700 5.6700 0.101 -327415.83567076 -327415.83567074 nemspmm2 0.7100 9.4100 0.075 -291794.83608908 -291794.77219164 nemswrld 3.1400 67.0900 0.047 260.30896600 260.30950736 nsir1 1.3100 9.0800 0.144 -28909033.00000000 -28909033.00000000 nsir2 1.4600 12.1900 0.120 -27175593.50000000 -27175593.49999840 osa-07 0.2700 51.2200 0.005 535722.51729935 535722.51965037 p010 1.0100 171.5500 0.006 1115047.91511082 1115047.91511083 p05 0.3500 130.2200 0.003 556000.27662588 556000.27662589 pcb3000 0.5400 3.4000 0.159 137416.41961282 137416.53410574 pds-06 1.1600 121.1700 0.010 27761037600.00000000 27761037600.00000000 pds-10 4.1500 996.8400 0.004 26727094976.00000000 26727094976.03690000 pilot87 2.4700 49.5500 0.050 301.71034733 301.71037082 r05 0.3800 19.3100 0.020 557831.85904066 557831.85904191 rat1 0.2700 939.1400 0.000 1999531.66287928 1999531.66287930 rat5 0.6300 268.2000 0.002 3083707.01043842 3083707.01043842 rosen10 0.1800 1.5500 0.116 -174215.45613870 -174215.45613870 scfxm1-2b-64 1.6400 11.9400 0.137 2877.56386371 2877.56386534 scfxm1-2r-64 0.7700 4.8800 0.158 2877.56386371 2877.56397447 scfxm1-2r-96 1.5400 8.1500 0.189 2891.70611371 2891.70613518 scrs8-2r-512 0.1500 742.8900 0.000 1074.09934157 1074.09934203 scsd8-2b-64 0.4300 1.8200 0.236 15.99866803 15.99866807 scsd8-2c-64 0.5200 1.9600 0.265 14.99923200 14.99923203 scsd8-2r-108 0.9200 1.1800 0.780 23.70000000 23.69999891 scsd8-2r-216 1.5400 2.7200 0.566 23.39998576 23.40001016 sctap1-2b-64 0.5000 3.3800 0.148 484.56000000 484.56000206 slptsk 1.5200 19.6100 0.078 29.89536602 29.89536615 south31 0.8200 10.0700 0.081 1818940197.10106000 1818940197.10107000 stocfor3 0.6500 10.6500 0.061 -39976.78394365 -39976.78394364 testbig 0.3000 2.8000 0.107 -60.42296073 -59.71377151 wood1p 0.1000 3.0700 0.033 1.44290241 1.44290241 world 6.3800 207.4500 0.031 40364873.11417350 40364873.43011240 bas1lp 9.5200 443.5200 0.021 363.00000000 363.00000000 fome13 0.6700 599.0300 0.001 0.00000000 0.01169409 ken-18 7.1800 221.3000 0.032 -5.2217025287397E+10 -5.2217025287397E+10 kl02 0.3800 17.6400 0.022 215.25000000 215.25001806 nsct1 72.8100 1034.7000 0.070 -38922436.00000000 -38922435.93294140 nsct2 48.6600 2811.0700 0.017 -37175082.00000000 -37175082.00000000 osa-14 0.6500 96.8400 0.007 1106462.84473625 1106462.86972097 osa-30 1.7400 327.9500 0.005 2142139.87320976 2142140.84743002 rail507 1.3600 45.6000 0.030 172.14556668 172.14556674 rail516 0.9800 624.7800 0.002 182.00000000 182.00000004 rail582 1.4000 53.0600 0.026 209.71223296 209.71223435 rat7a 3.6600 499.0100 0.007 2074371.41572829 2074371.41572829 rlfddd 1.9300 9.8400 0.196 -13.00000000 -12.99999327 rlfdual 7.9900 53.1600 0.150 -1.00000000 -0.99999994 rlfprim 2.6800 71.1500 0.038 1.00000000 1.00001330 route 4.5600 15.1600 0.301 5941.65027667 5941.65027702 scfxm1-2r-256 3.8700 21.1500 0.183 2891.70611371 2892.02010444 scsd8-2r-432 1.1900 5.4500 0.218 25.79999802 25.80002199 sctap1-2r-480 1.1500 6.7500 0.170 248.50000000 248.50005291 t0331-4l 1.8400 49.6600 0.037 29730.03335194 29730.03339276 us04 0.3700 20.2100 0.018 17731.66666667 17731.66666680 dbir2 22.0200 289.0100 0.076 -6116916.50000000 -6116916.49999997 nemsemm1 4.2200 93.1200 0.045 512959.60078798 512961.33656058 nw14 3.4300 330.9900 0.010 61844.00000000 61844.00001227 osa-60 3.9700 2118.8600 0.002 4044072.50315742 4044072.77774503

 Modelname Time (CPLEX-BARRIER) Time (IPOPT) Ratio (CPLEX-BARRIER/IPOPT) Obj (CPLEX-BARRIER) Obj (IPOPT) lpl3 1.2300 3667.9500 0.000 27318.00000000 92049.12139266 model10 1.6200 3749.7900 0.000 -154599.62122930 -154595.73840092 nug15 52.6600 3861.2500 0.014 1040.99404096 1040.99847628 qap15 48.4700 3687.2200 0.013 1040.99404096 1040.99438307 fome20 16.5100 3684.9000 0.004 23821658640.00000000 23824795566.33030000 nemsemm2 0.7800 5387.1300 0.000 581079.57090469 590853.36666951 pds-20 16.5300 3610.3500 0.005 23821658640.00000000 23824795566.33030000 rail2586 64.5500 3608.6000 0.018 935.92182057 1126.43249215

 Modelname Time (CPLEX-BARRIER) Time (IPOPT) Ratio (CPLEX-BARRIER/IPOPT) Obj (CPLEX-BARRIER) Status (IPOPT) baxter 2.9500 NA --- 56007255.67225311 mstat(13) sstat(10) ulevimin 3.9700 3600.9100 --- -5191101861.43196900 mstat( 6) sstat( 3) cre-b 2.3800 3799.6800 --- 23129639.88683240 mstat( 6) sstat( 3) cre-d 1.8000 NA --- 24454969.76454920 mstat(13) sstat(10) fome21 42.7700 3612.7400 --- 47346318912.00000000 mstat( 6) sstat( 3) nug20 864.2800 NA --- 2181.60332164 mstat(13) sstat(10) pds-30 43.6900 3727.3200 --- 21385445736.00000000 mstat( 6) sstat( 3) pds-40 93.6200 3675.6500 --- 18855198824.00000000 mstat( 6) sstat( 3) pds-50 135.6900 NA --- 16603525724.00000000 mstat(13) sstat(10) pds-60 192.1500 NA --- 14265904407.00000000 mstat(13) sstat(13) watson_1 35.8300 NA --- -1609.27855376 mstat(13) sstat(10) dbic1 37.1500 NA --- -9768973.00000000 mstat(13) sstat(13) dbir1 29.7200 NA --- -8106707.00000000 mstat(13) sstat(10) pds-100 537.2500 29433.2100 --- 10928229968.00000000 mstat( 6) sstat( 3) pds-70 274.7000 NA --- 12241162812.00000000 mstat(13) sstat(10) pds-80 337.3500 NA --- 11469077462.00000000 mstat(13) sstat(13) pds-90 375.3800 NA --- 11087561635.00000000 mstat(13) sstat(13) rail4284 152.6600 NA --- 1054.05449127 mstat(13) sstat(10) self 3.4500 NA --- 0.00000000 mstat(13) sstat(10)

 Modelname Time (CPLEX-BARRIER) Time (IPOPT) Ratio (CPLEX-BARRIER/IPOPT) Status (CPLEX-BARRIER) Status (IPOPT) bgindy 0.2700 6.4800 --- mstat( 4) sstat( 1) mstat( 4) sstat( 1) gosh 0.9000 1221.9600 --- mstat( 4) sstat( 1) mstat( 4) sstat( 1)

 Modelname Time (CPLEX-BARRIER) Time (IPOPT) Ratio (CPLEX-BARRIER/IPOPT) Status (CPLEX-BARRIER) Status (IPOPT) lpl1 NA NA --- mstat(13) sstat(13) mstat(13) sstat(10) sgpf5y6 NA NA --- mstat(13) sstat(13) mstat(13) sstat(10) nug30 178.3800 NA --- mstat(14) sstat( 4) mstat(13) sstat(13)

 Modelname Time (CPLEX-BARRIER) Obj (CPLEX-BARRIER) aa01 0.7300 55535.43638822 aa03 0.5800 49616.36363636 air02 0.1200 7640.00000000 air06 0.5700 49616.36363636 baxter 2.9500 56007255.67225311 car4 0.4200 35.46037017 cari 0.0400 581.89305779 co5 0.7600 714469.55375789 co9 2.2200 946920.43032251 cq5 0.6700 400133.80747262 cq9 2.1500 505541.70980727 crew1 0.1200 20.55555556 ex3sta1 1.9700 -63.07540325 fit2d 0.3400 -68464.29329383 fit2p 0.3000 68464.29329383 fome11 0.1600 0.00000000 fome12 0.3200 0.00000000 gen1 0.7000 0.00000054 gen2 2.9500 3.29279078 gen4 20.4000 0.00000084 jendrec1 0.9000 7028.46051135 ken-11 0.3800 -6972382262.51996900 ken-13 1.0700 -1.0257394789482E+10 l30 27.3600 0.95266138 lp22 4.2000 458.94459411 lpl3 1.2300 27318.00000000 maros-r7 1.1500 1497185.16647964 mod2 6.5500 27737371.36445580 model10 1.6200 -154599.62122930 model11 0.5100 0.00000000 model5 0.7200 -858440.72907149 model7 0.4800 49380.08549628 model9 0.3400 -141123.09360707 nemspmm1 0.5700 -327415.83567076 nemspmm2 0.7100 -291794.83608908 nemswrld 3.1400 260.30896600 nsir1 1.3100 -28909033.00000000 nsir2 1.4600 -27175593.50000000 nug15 52.6600 1040.99404096 osa-07 0.2700 535722.51729935 p010 1.0100 1115047.91511082 p05 0.3500 556000.27662588 pcb3000 0.5400 137416.41961282 pds-06 1.1600 27761037600.00000000 pds-10 4.1500 26727094976.00000000 pilot87 2.4700 301.71034733 qap15 48.4700 1040.99404096 r05 0.3800 557831.85904066 rat1 0.2700 1999531.66287928 rat5 0.6300 3083707.01043842 rosen10 0.1800 -174215.45613870 scfxm1-2b-64 1.6400 2877.56386371 scfxm1-2r-64 0.7700 2877.56386371 scfxm1-2r-96 1.5400 2891.70611371 scrs8-2r-512 0.1500 1074.09934157 scsd8-2b-64 0.4300 15.99866803 scsd8-2c-64 0.5200 14.99923200 scsd8-2r-108 0.9200 23.70000000 scsd8-2r-216 1.5400 23.39998576 sctap1-2b-64 0.5000 484.56000000 slptsk 1.5200 29.89536602 south31 0.8200 1818940197.10106000 stocfor3 0.6500 -39976.78394365 testbig 0.3000 -60.42296073 ulevimin 3.9700 -5191101861.43196900 wood1p 0.1000 1.44290241 world 6.3800 40364873.11417350 bas1lp 9.5200 363.00000000 cre-b 2.3800 23129639.88683240 cre-d 1.8000 24454969.76454920 fome13 0.6700 0.00000000 fome20 16.5100 23821658640.00000000 fome21 42.7700 47346318912.00000000 ken-18 7.1800 -5.2217025287397E+10 kl02 0.3800 215.25000000 nemsemm2 0.7800 581079.57090469 nsct1 72.8100 -38922436.00000000 nsct2 48.6600 -37175082.00000000 nug20 864.2800 2181.60332164 osa-14 0.6500 1106462.84473625 osa-30 1.7400 2142139.87320976 pds-20 16.5300 23821658640.00000000 pds-30 43.6900 21385445736.00000000 pds-40 93.6200 18855198824.00000000 pds-50 135.6900 16603525724.00000000 pds-60 192.1500 14265904407.00000000 rail507 1.3600 172.14556668 rail516 0.9800 182.00000000 rail582 1.4000 209.71223296 rat7a 3.6600 2074371.41572829 rlfddd 1.9300 -13.00000000 rlfdual 7.9900 -1.00000000 rlfprim 2.6800 1.00000000 route 4.5600 5941.65027667 scfxm1-2r-256 3.8700 2891.70611371 scsd8-2r-432 1.1900 25.79999802 sctap1-2r-480 1.1500 248.50000000 t0331-4l 1.8400 29730.03335194 us04 0.3700 17731.66666667 watson_1 35.8300 -1609.27855376 dbic1 37.1500 -9768973.00000000 dbir1 29.7200 -8106707.00000000 dbir2 22.0200 -6116916.50000000 nemsemm1 4.2200 512959.60078798 nw14 3.4300 61844.00000000 osa-60 3.9700 4044072.50315742 pds-100 537.2500 10928229968.00000000 pds-70 274.7000 12241162812.00000000 pds-80 337.3500 11469077462.00000000 pds-90 375.3800 11087561635.00000000 rail2586 64.5500 935.92182057 rail4284 152.6600 1054.05449127 self 3.4500 0.00000000

 Modelname Time (CPLEX-BARRIER) Status (CPLEX-BARRIER) bgindy -- mstat( 4) sstat( 1) gosh -- mstat( 4) sstat( 1)

 Modelname Time (CPLEX-BARRIER) Status (CPLEX-BARRIER) lpl1 -- mstat(13) sstat(13) sgpf5y6 -- mstat(13) sstat(13) nug30 -- mstat(14) sstat( 4)

 Modelname Time (IPOPT) Obj (IPOPT) aa01 11.8300 55535.43640912 aa03 9.6900 49616.36363649 air02 2.6200 7640.00000065 air06 9.7000 49616.36363649 car4 2.7900 35.46037020 cari 7.1300 581.89305792 co5 11.7700 714469.64279909 co9 32.9900 946920.50623726 cq5 11.9800 400133.80773115 cq9 56.5900 505541.70980948 crew1 1.2900 20.55556529 ex3sta1 34.0400 -63.07540325 fit2d 5.7000 -68464.29329298 fit2p 1.8800 68464.29330248 fome11 134.2800 0.00292352 fome12 274.4000 0.00584704 gen1 3.9600 0.00000796 gen2 10.0500 3.29279078 gen4 13.5000 0.00001301 jendrec1 6.1200 7028.46051757 ken-11 6.6200 -6972382262.51996900 ken-13 25.6900 -1.0257394789482E+10 l30 3.0500 0.95207806 lp22 186.6600 459.00933768 maros-r7 44.4100 1497185.16647966 mod2 198.4900 27737371.36448260 model11 36.3500 0.00010208 model5 297.0900 -858440.72839567 model7 6.5400 49380.08552185 model9 76.5400 -141123.08766642 nemspmm1 5.6700 -327415.83567074 nemspmm2 9.4100 -291794.77219164 nemswrld 67.0900 260.30950736 nsir1 9.0800 -28909033.00000000 nsir2 12.1900 -27175593.49999840 osa-07 51.2200 535722.51965037 p010 171.5500 1115047.91511083 p05 130.2200 556000.27662589 pcb3000 3.4000 137416.53410574 pds-06 121.1700 27761037600.00000000 pds-10 996.8400 26727094976.03690000 pilot87 49.5500 301.71037082 r05 19.3100 557831.85904191 rat1 939.1400 1999531.66287930 rat5 268.2000 3083707.01043842 rosen10 1.5500 -174215.45613870 scfxm1-2b-64 11.9400 2877.56386534 scfxm1-2r-64 4.8800 2877.56397447 scfxm1-2r-96 8.1500 2891.70613518 scrs8-2r-512 742.8900 1074.09934203 scsd8-2b-64 1.8200 15.99866807 scsd8-2c-64 1.9600 14.99923203 scsd8-2r-108 1.1800 23.69999891 scsd8-2r-216 2.7200 23.40001016 sctap1-2b-64 3.3800 484.56000206 slptsk 19.6100 29.89536615 south31 10.0700 1818940197.10107000 stocfor3 10.6500 -39976.78394364 testbig 2.8000 -59.71377151 wood1p 3.0700 1.44290241 world 207.4500 40364873.43011240 bas1lp 443.5200 363.00000000 fome13 599.0300 0.01169409 ken-18 221.3000 -5.2217025287397E+10 kl02 17.6400 215.25001806 nsct1 1034.7000 -38922435.93294140 nsct2 2811.0700 -37175082.00000000 osa-14 96.8400 1106462.86972097 osa-30 327.9500 2142140.84743002 rail507 45.6000 172.14556674 rail516 624.7800 182.00000004 rail582 53.0600 209.71223435 rat7a 499.0100 2074371.41572829 rlfddd 9.8400 -12.99999327 rlfdual 53.1600 -0.99999994 rlfprim 71.1500 1.00001330 route 15.1600 5941.65027702 scfxm1-2r-256 21.1500 2892.02010444 scsd8-2r-432 5.4500 25.80002199 sctap1-2r-480 6.7500 248.50005291 t0331-4l 49.6600 29730.03339276 us04 20.2100 17731.66666680 dbir2 289.0100 -6116916.49999997 nemsemm1 93.1200 512961.33656058 nw14 330.9900 61844.00001227 osa-60 2118.8600 4044072.77774503

 Modelname Time (IPOPT) Obj (IPOPT) lpl3 3667.9500 92049.12139266 model10 3749.7900 -154595.73840092 nug15 3861.2500 1040.99847628 qap15 3687.2200 1040.99438307 fome20 3684.9000 23824795566.33030000 nemsemm2 5387.1300 590853.36666951 pds-20 3610.3500 23824795566.33030000 rail2586 3608.6000 1126.43249215

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

 Modelname Time (IPOPT) Status (IPOPT) baxter -- mstat(13) sstat(10) ulevimin -- mstat( 6) sstat( 3) cre-b -- mstat( 6) sstat( 3) cre-d -- mstat(13) sstat(10) fome21 -- mstat( 6) sstat( 3) lpl1 -- mstat(13) sstat(10) nug20 -- mstat(13) sstat(10) pds-30 -- mstat( 6) sstat( 3) pds-40 -- mstat( 6) sstat( 3) pds-50 -- mstat(13) sstat(10) pds-60 -- mstat(13) sstat(13) sgpf5y6 -- mstat(13) sstat(10) watson_1 -- mstat(13) sstat(10) dbic1 -- mstat(13) sstat(13) dbir1 -- mstat(13) sstat(10) nug30 -- mstat(13) sstat(13) pds-100 -- mstat( 6) sstat( 3) pds-70 -- mstat(13) sstat(10) pds-80 -- mstat(13) sstat(13) pds-90 -- mstat(13) sstat(13) rail4284 -- mstat(13) sstat(10) self -- mstat(13) sstat(10)