## Solver Square Comparison: Considers all models.

Results created on 03/08/11 11:29:01 using the PAVER Server/Performance tools available at http://www.gamsworld.eu/performance/paver

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 GUROBI is represented on the left (rows) and solver MOSEK 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.

Input File Number Filename
Tracefile 1: GUROBI-0.trc
Tracefile 2: MOSEK-0.trc
Solvers used : GUROBI
MOSEK
Modeltype(s)   LP

 MOSEK: optimal MOSEK: locally optimal MOSEK: feasible MOSEK: infeasible MOSEK: unbounded MOSEK: fail MOSEK: no data total GUROBI GUROBI: optimal 109 - - - - - - 109 GUROBI: locally optimal - - - - - - - - GUROBI: feasible - - - - - - - - GUROBI: infeasible - - - 2 - - - 2 GUROBI: unbounded - - - - - - - - GUROBI: fail 2 - - 2 - 1 - 5 GUROBI: no data - - - - - - - - total MOSEK 111 - - 4 - 1 - 116

### 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.

### GUROBI: optimal -- MOSEK: optimal

Modelname Time (GUROBI) Time (MOSEK) Ratio (GUROBI/MOSEK) Obj (GUROBI) Obj (MOSEK)
aa01 1.0200 0.5050 2.020 55535.43638822 55535.43638822
aa03 0.5100 0.4090 1.247 49616.36363636 49616.36363636
air02 0.0300 0.1100 0.273 7640.00000000 7640.00000000
air06 0.5200 0.4100 1.268 49616.36363636 49616.36363636
baxter 0.8300 2.8030 0.296 56007255.67225310 56007255.67225310
car4 0.4200 0.2890 1.453 35.46037017 35.46037017
cari 0.1100 0.1000 1.100 581.89305779 581.89305779
co5 1.1300 0.6400 1.766 714469.55378561 714469.55375125
co9 4.7100 1.6670 2.825 946920.43030330 946920.43028456
cq5 0.7000 0.5910 1.184 400133.80747262 400133.80747262
cq9 3.0500 1.3850 2.202 505541.70980727 505541.70980727
crew1 0.1000 0.1180 0.847 20.55555556 20.55555556
ex3sta1 22.0300 17.5600 1.255 -63.07540325 -63.07540325
fit2d 0.1400 0.3190 0.439 -68464.29329383 -68464.29329383
fit2p 2.3600 0.3090 7.638 68464.29329383 68464.29329383
fome11 0.3100 0.1760 1.761 0.00000000 0.00000000
fome12 35.0000 0.3850 90.909 0.00000000 0.00000000
gen1 0.1400 1.1250 0.124 0.00000000 0.00000100
gen2 14.4600 2.1620 6.688 3.29279078 3.29279075
gen4 0.8800 23.8080 0.037 0.00000000 0.00000186
jendrec1 1.0400 0.9500 1.095 7028.46051135 7028.46051135
ken-11 0.1500 0.5490 0.273 -6972382262.51999000 -6972382262.51999000
ken-13 0.5700 1.3310 0.428 -1.0257394789483E+10 -1.0257394789483E+10
l30 7.4600 9.7880 0.762 0.95266021 0.95266140
lp22 17.2200 4.1960 4.104 458.94459411 458.94459411
lpl3 1.0100 1.2430 0.813 27318.00000000 27318.00000000
maros-r7 1.3300 1.1880 1.120 1497185.16647964 1497185.16647971
mod2 2.2700 8.4140 0.270 27737371.36444490 27737371.36444260
model10 5.7200 0.9530 6.002 -154599.62125060 -154599.62130064
model11 0.2200 0.7450 0.295 0.00000000 0.00000000
model5 0.8600 0.5530 1.555 -858440.72907197 -858440.72907343
model7 0.9700 0.4020 2.413 49380.08551681 49380.08549287
model9 0.4400 0.5560 0.791 -141123.09360669 -141123.09360783
nemspmm1 1.3400 0.4690 2.857 -327415.83567076 -327415.83567076
nemspmm2 1.5700 0.5690 2.759 -291794.83608908 -291794.83608908
nemswrld 21.2800 2.2070 9.642 260.30896600 260.30896601
nsir1 0.0800 0.7220 0.111 -28909033.00000000 -28909033.00000000
nsir2 0.1700 1.0930 0.156 -27175593.50000000 -27175593.50000000
nug15 673.9000 61.6110 10.938 1040.99404096 1040.99404096
osa-07 0.1100 0.3020 0.364 535722.51729935 535722.51729935
p010 0.3900 0.6560 0.595 1115047.91511082 1115047.91511082
p05 0.1600 0.3290 0.486 556000.27662588 556000.27662588
pcb3000 0.3700 0.5640 0.656 137416.41961282 137416.41961282
pds-06 0.2200 0.8310 0.265 27761037600.00000000 27761037600.00000000
pds-10 0.5300 2.3630 0.224 26727094976.00000000 26727094976.00000000
pilot87 9.5700 2.4050 3.979 301.71204967 301.71036006
qap15 928.0500 56.7330 16.358 1040.99404096 1040.99404096
r05 0.1800 0.3660 0.492 557831.85904066 557831.85904066
rat1 0.2400 0.3070 0.782 1999531.66287928 1999531.66287928
rat5 0.6600 0.6340 1.041 3083707.01043843 3083707.01043842
rosen10 0.0900 0.2150 0.419 -174215.45613870 -174215.45613870
scfxm1-2b-64 3.4700 2.3620 1.469 2877.56386371 2877.56386371
scfxm1-2r-64 0.7400 0.6840 1.082 2877.56386371 2877.56386371
scfxm1-2r-96 1.9000 1.6870 1.126 2891.70611371 2891.70611371
scrs8-2r-512 0.0400 0.1660 0.241 1074.09934157 1074.09934157
scsd8-2b-64 0.2000 0.5960 0.336 15.99866803 15.99866803
scsd8-2c-64 0.2000 0.6320 0.316 14.99923200 14.99923200
scsd8-2r-108 0.0500 0.2790 0.179 23.70000024 23.69999434
scsd8-2r-216 0.1200 0.6880 0.174 23.39999200 23.39998388
sctap1-2b-64 0.1900 0.9250 0.205 484.56000000 484.56000000
slptsk 0.5300 1.3090 0.405 29.89536602 29.89536602
south31 16.0800 0.4670 34.433 1818940197.10106000 1818940197.10106000
stocfor3 0.5600 0.7910 0.708 -39976.78394365 -39976.78394365
testbig 0.0700 0.3900 0.179 -60.42296073 -60.42296073
ulevimin 8.4200 2.2820 3.690 -5191101861.43198000 -5191101861.43198000
wood1p 0.0300 0.1010 0.297 1.44290241 1.44290241
world 2.1600 7.7920 0.277 40364873.11417650 40364873.11417230
bas1lp 0.7200 15.1720 0.047 363.00000000 363.00000000
cre-b 1.4500 1.6140 0.898 23129639.88683240 23129639.88683240
cre-d 0.7600 1.2840 0.592 24454969.76454920 24454969.76454920
fome13 9.9000 0.8150 12.147 0.00000000 0.00000000
fome20 2.9700 12.2000 0.243 23821658640.00000000 23821658640.00000000
fome21 5.9900 28.4430 0.211 47346318912.00000000 47346318912.00000000
ken-18 3.4800 7.2680 0.479 -5.2217025287397E+10 -5.2217025287397E+10
kl02 0.2600 0.4370 0.595 215.25000000 215.25000000
nemsemm2 0.3200 0.9600 0.333 581079.57090469 581079.57090469
nsct1 0.7500 27.6160 0.027 -38922436.00000000 -38922436.00000000
nsct2 1.0000 15.4340 0.065 -37175082.00000000 -37175082.00000000
osa-14 0.3800 0.9240 0.411 1106462.84473625 1106462.84473625
osa-30 0.9800 2.4060 0.407 2142139.87320977 2142139.87320977
pds-20 2.9900 12.5670 0.238 23821658640.00000000 23821658640.00000000
pds-30 4.9100 29.4490 0.167 21385445736.00000000 21385445736.00000000
pds-40 11.0000 60.3230 0.182 18855198824.00000000 18855198824.00000000
pds-50 19.5700 120.7650 0.162 16603525724.00000000 16603525724.00000000
pds-60 24.2000 215.3450 0.112 14265904407.00000000 14265904407.00000000
rail507 4.4000 1.6650 2.643 172.14556668 172.14556668
rail516 1.2300 1.0160 1.211 182.00000000 182.00000000
rail582 3.2500 1.7080 1.903 209.71223296 209.71223296
rat7a 7.7400 5.6910 1.360 2074371.41572827 2074371.41572828
rlfddd 0.4100 1.8470 0.222 -13.00000000 -13.00000000
rlfdual 2.0300 6.8650 0.296 -1.00000000 -1.00000000
rlfprim 0.6400 2.0530 0.312 1.00000000 1.00000000
route 0.3000 3.9270 0.076 5941.65027667 5941.65027667
scsd8-2r-432 0.3500 1.6090 0.218 25.79999441 25.79996945
t0331-4l 10.8200 1.5020 7.204 29730.03335194 29730.03335194
us04 0.3400 0.5480 0.620 17731.66666667 17731.66666667
watson_1 20.5900 29.7630 0.692 -1609.27898533 -1609.28071460
dbic1 51.6900 23.9970 2.154 -9768973.00000000 -9768973.00000000
dbir1 1.7900 29.7670 0.060 -8106707.00000000 -8106707.00000000
dbir2 2.4500 10.8880 0.225 -6116916.50000000 -6116916.50000000
nemsemm1 1.5600 4.1270 0.378 512959.60078797 512959.60078797
nw14 1.0500 3.6460 0.288 61844.00000000 61844.00000000
osa-60 3.3000 7.2560 0.455 4044072.50315744 4044072.50315744
pds-100 41.0000 508.2810 0.081 10928229968.00000000 10928229968.00000000
pds-70 26.9600 388.1620 0.069 12241162812.00000000 12241162812.00000000
pds-80 33.7200 472.3760 0.071 11469077462.00000000 11469077462.00000000
pds-90 41.5200 416.5980 0.100 11087561635.00000000 11087561635.00000000
rail2586 1327.3800 59.5150 22.303 935.92182057 935.92182057
self 4.5200 1237.5020 0.004 0.00000000 0.00000000

### GUROBI: infeasible -- MOSEK: infeasible

Modelname Time (GUROBI) Time (MOSEK) Ratio (GUROBI/MOSEK) Status (GUROBI) Status (MOSEK)
bgindy 0.0100 0.2060 --- mstat(19)sstat( 1) mstat( 4)sstat( 1)
lpl1 0.0700 1.4960 --- mstat(19)sstat( 1) mstat( 4)sstat( 1)

### GUROBI: fail -- MOSEK: optimal

Modelname Time (GUROBI) Time (MOSEK) Ratio (GUROBI/MOSEK) Status (GUROBI) Obj (MOSEK)
nug20 3596.6500 1473.1660 --- mstat(14)sstat( 3) 2181.60332164
rail4284 3595.3800 145.9040 --- mstat(14)sstat( 3) 1054.05449127

### GUROBI: fail -- MOSEK: infeasible

Modelname Time (GUROBI) Time (MOSEK) Ratio (GUROBI/MOSEK) Status (GUROBI) Status (MOSEK)
gosh 0.0300 0.0710 --- mstat(14)sstat( 1) mstat( 4)sstat( 1)
sgpf5y6 0.1400 1.3990 --- mstat(14)sstat( 1) mstat( 4)sstat( 1)

### GUROBI: fail -- MOSEK: fail

Modelname Time (GUROBI) Time (MOSEK) Ratio (GUROBI/MOSEK) Status (GUROBI) Status (MOSEK)
nug30 3605.1600 NA --- mstat(14)sstat( 3) mstat(13)sstat(13)

### GUROBI: optimal:

Modelname Time (GUROBI) Obj (GUROBI)
aa01 1.0200 55535.43638822
aa03 0.5100 49616.36363636
air02 0.0300 7640.00000000
air06 0.5200 49616.36363636
baxter 0.8300 56007255.67225310
car4 0.4200 35.46037017
cari 0.1100 581.89305779
co5 1.1300 714469.55378561
co9 4.7100 946920.43030330
cq5 0.7000 400133.80747262
cq9 3.0500 505541.70980727
crew1 0.1000 20.55555556
ex3sta1 22.0300 -63.07540325
fit2d 0.1400 -68464.29329383
fit2p 2.3600 68464.29329383
fome11 0.3100 0.00000000
fome12 35.0000 0.00000000
gen1 0.1400 0.00000000
gen2 14.4600 3.29279078
gen4 0.8800 0.00000000
jendrec1 1.0400 7028.46051135
ken-11 0.1500 -6972382262.51999000
ken-13 0.5700 -1.0257394789483E+10
l30 7.4600 0.95266021
lp22 17.2200 458.94459411
lpl3 1.0100 27318.00000000
maros-r7 1.3300 1497185.16647964
mod2 2.2700 27737371.36444490
model10 5.7200 -154599.62125060
model11 0.2200 0.00000000
model5 0.8600 -858440.72907197
model7 0.9700 49380.08551681
model9 0.4400 -141123.09360669
nemspmm1 1.3400 -327415.83567076
nemspmm2 1.5700 -291794.83608908
nemswrld 21.2800 260.30896600
nsir1 0.0800 -28909033.00000000
nsir2 0.1700 -27175593.50000000
nug15 673.9000 1040.99404096
osa-07 0.1100 535722.51729935
p010 0.3900 1115047.91511082
p05 0.1600 556000.27662588
pcb3000 0.3700 137416.41961282
pds-06 0.2200 27761037600.00000000
pds-10 0.5300 26727094976.00000000
pilot87 9.5700 301.71204967
qap15 928.0500 1040.99404096
r05 0.1800 557831.85904066
rat1 0.2400 1999531.66287928
rat5 0.6600 3083707.01043843
rosen10 0.0900 -174215.45613870
scfxm1-2b-64 3.4700 2877.56386371
scfxm1-2r-64 0.7400 2877.56386371
scfxm1-2r-96 1.9000 2891.70611371
scrs8-2r-512 0.0400 1074.09934157
scsd8-2b-64 0.2000 15.99866803
scsd8-2c-64 0.2000 14.99923200
scsd8-2r-108 0.0500 23.70000024
scsd8-2r-216 0.1200 23.39999200
sctap1-2b-64 0.1900 484.56000000
slptsk 0.5300 29.89536602
south31 16.0800 1818940197.10106000
stocfor3 0.5600 -39976.78394365
testbig 0.0700 -60.42296073
ulevimin 8.4200 -5191101861.43198000
wood1p 0.0300 1.44290241
world 2.1600 40364873.11417650
bas1lp 0.7200 363.00000000
cre-b 1.4500 23129639.88683240
cre-d 0.7600 24454969.76454920
fome13 9.9000 0.00000000
fome20 2.9700 23821658640.00000000
fome21 5.9900 47346318912.00000000
ken-18 3.4800 -5.2217025287397E+10
kl02 0.2600 215.25000000
nemsemm2 0.3200 581079.57090469
nsct1 0.7500 -38922436.00000000
nsct2 1.0000 -37175082.00000000
osa-14 0.3800 1106462.84473625
osa-30 0.9800 2142139.87320977
pds-20 2.9900 23821658640.00000000
pds-30 4.9100 21385445736.00000000
pds-40 11.0000 18855198824.00000000
pds-50 19.5700 16603525724.00000000
pds-60 24.2000 14265904407.00000000
rail507 4.4000 172.14556668
rail516 1.2300 182.00000000
rail582 3.2500 209.71223296
rat7a 7.7400 2074371.41572827
rlfddd 0.4100 -13.00000000
rlfdual 2.0300 -1.00000000
rlfprim 0.6400 1.00000000
route 0.3000 5941.65027667
scsd8-2r-432 0.3500 25.79999441
t0331-4l 10.8200 29730.03335194
us04 0.3400 17731.66666667
watson_1 20.5900 -1609.27898533
dbic1 51.6900 -9768973.00000000
dbir1 1.7900 -8106707.00000000
dbir2 2.4500 -6116916.50000000
nemsemm1 1.5600 512959.60078797
nw14 1.0500 61844.00000000
osa-60 3.3000 4044072.50315744
pds-100 41.0000 10928229968.00000000
pds-70 26.9600 12241162812.00000000
pds-80 33.7200 11469077462.00000000
pds-90 41.5200 11087561635.00000000
rail2586 1327.3800 935.92182057
self 4.5200 0.00000000

### GUROBI: infeasible:

Modelname Time (GUROBI) Status (GUROBI)
bgindy -- mstat(19) sstat( 1)
lpl1 -- mstat(19) sstat( 1)

### GUROBI: fail:

Modelname Time (GUROBI) Status (GUROBI)
gosh -- mstat(14) sstat( 1)
nug20 -- mstat(14) sstat( 3)
sgpf5y6 -- mstat(14) sstat( 1)
nug30 -- mstat(14) sstat( 3)
rail4284 -- mstat(14) sstat( 3)

### MOSEK: optimal:

Modelname Time (MOSEK) Obj (MOSEK)
aa01 0.5050 55535.43638822
aa03 0.4090 49616.36363636
air02 0.1100 7640.00000000
air06 0.4100 49616.36363636
baxter 2.8030 56007255.67225310
car4 0.2890 35.46037017
cari 0.1000 581.89305779
co5 0.6400 714469.55375125
co9 1.6670 946920.43028456
cq5 0.5910 400133.80747262
cq9 1.3850 505541.70980727
crew1 0.1180 20.55555556
ex3sta1 17.5600 -63.07540325
fit2d 0.3190 -68464.29329383
fit2p 0.3090 68464.29329383
fome11 0.1760 0.00000000
fome12 0.3850 0.00000000
gen1 1.1250 0.00000100
gen2 2.1620 3.29279075
gen4 23.8080 0.00000186
jendrec1 0.9500 7028.46051135
ken-11 0.5490 -6972382262.51999000
ken-13 1.3310 -1.0257394789483E+10
l30 9.7880 0.95266140
lp22 4.1960 458.94459411
lpl3 1.2430 27318.00000000
maros-r7 1.1880 1497185.16647971
mod2 8.4140 27737371.36444260
model10 0.9530 -154599.62130064
model11 0.7450 0.00000000
model5 0.5530 -858440.72907343
model7 0.4020 49380.08549287
model9 0.5560 -141123.09360783
nemspmm1 0.4690 -327415.83567076
nemspmm2 0.5690 -291794.83608908
nemswrld 2.2070 260.30896601
nsir1 0.7220 -28909033.00000000
nsir2 1.0930 -27175593.50000000
nug15 61.6110 1040.99404096
osa-07 0.3020 535722.51729935
p010 0.6560 1115047.91511082
p05 0.3290 556000.27662588
pcb3000 0.5640 137416.41961282
pds-06 0.8310 27761037600.00000000
pds-10 2.3630 26727094976.00000000
pilot87 2.4050 301.71036006
qap15 56.7330 1040.99404096
r05 0.3660 557831.85904066
rat1 0.3070 1999531.66287928
rat5 0.6340 3083707.01043842
rosen10 0.2150 -174215.45613870
scfxm1-2b-64 2.3620 2877.56386371
scfxm1-2r-64 0.6840 2877.56386371
scfxm1-2r-96 1.6870 2891.70611371
scrs8-2r-512 0.1660 1074.09934157
scsd8-2b-64 0.5960 15.99866803
scsd8-2c-64 0.6320 14.99923200
scsd8-2r-108 0.2790 23.69999434
scsd8-2r-216 0.6880 23.39998388
sctap1-2b-64 0.9250 484.56000000
slptsk 1.3090 29.89536602
south31 0.4670 1818940197.10106000
stocfor3 0.7910 -39976.78394365
testbig 0.3900 -60.42296073
ulevimin 2.2820 -5191101861.43198000
wood1p 0.1010 1.44290241
world 7.7920 40364873.11417230
bas1lp 15.1720 363.00000000
cre-b 1.6140 23129639.88683240
cre-d 1.2840 24454969.76454920
fome13 0.8150 0.00000000
fome20 12.2000 23821658640.00000000
fome21 28.4430 47346318912.00000000
ken-18 7.2680 -5.2217025287397E+10
kl02 0.4370 215.25000000
nemsemm2 0.9600 581079.57090469
nsct1 27.6160 -38922436.00000000
nsct2 15.4340 -37175082.00000000
nug20 1473.1660 2181.60332164
osa-14 0.9240 1106462.84473625
osa-30 2.4060 2142139.87320977
pds-20 12.5670 23821658640.00000000
pds-30 29.4490 21385445736.00000000
pds-40 60.3230 18855198824.00000000
pds-50 120.7650 16603525724.00000000
pds-60 215.3450 14265904407.00000000
rail507 1.6650 172.14556668
rail516 1.0160 182.00000000
rail582 1.7080 209.71223296
rat7a 5.6910 2074371.41572828
rlfddd 1.8470 -13.00000000
rlfdual 6.8650 -1.00000000
rlfprim 2.0530 1.00000000
route 3.9270 5941.65027667
scsd8-2r-432 1.6090 25.79996945
t0331-4l 1.5020 29730.03335194
us04 0.5480 17731.66666667
watson_1 29.7630 -1609.28071460
dbic1 23.9970 -9768973.00000000
dbir1 29.7670 -8106707.00000000
dbir2 10.8880 -6116916.50000000
nemsemm1 4.1270 512959.60078797
nw14 3.6460 61844.00000000
osa-60 7.2560 4044072.50315744
pds-100 508.2810 10928229968.00000000
pds-70 388.1620 12241162812.00000000
pds-80 472.3760 11469077462.00000000
pds-90 416.5980 11087561635.00000000
rail2586 59.5150 935.92182057
rail4284 145.9040 1054.05449127
self 1237.5020 0.00000000

### MOSEK: infeasible:

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

### MOSEK: fail:

Modelname Time (MOSEK) Status (MOSEK)
nug30 -- mstat(13)sstat(13)