## Resource Times:

 Date / Time: 09/02/07 15:50:38

See the solver return definitions for optimal/feasible model and solve statuses. Solutions are not checked for how close they are to eachother. Resource times are considered the same, if they are within 10% of eachother. A solver is considered faster than another, if it is less than 50% faster than the other. A solver is considered much faster than another, if it is more than 50% faster than the other.

If a model was not solved optimal/feasible by both solvers, the resource time is considered the same. If a model was solved optimal/feasible by solver A but not by solver B, then solver A is considered infinitely faster than solver B. Similarly, if one solver has trace data and the other has no data, then the first solver is consideredinfinitely faster.

A solver is considered to have a better objective function value, if the relative objective value difference is greater than 1.00E-05 For objective values below 1e-1 we use absolute differences.

 Tracefile 1 : 1-SBB-1_noSOSsemicon.trc Tracefile 2 : 4-Bonmin-1.trc Solvers used : SBB-CONOPT BONMIN Modeltype(s) MINLP Threshold: Solver Faster 10% Threshold: Solver Much Faster 50% Threshold: Solver Infinitely Faster Other solver failed

 Total Obj SBB-CONOPT better Obj same Obj BONMIN better Solver SBB-CONOPT infinitely faster : 31 31 - - Solver SBB-CONOPT much faster : 23 5 11 7 Solver SBB-CONOPT faster : 13 - 9 4 Solvers perform the same : 47 6 39 2 Solver BONMIN faster : 8 2 5 1 Solver BONMIN much faster : 20 10 8 2 Solver BONMIN infinitely faster : 8 - - 8 Both solvers failed to solve optimally : 10 - 10 - Total models: : 160 54 82 24

### Solver return definition:

 Outcome Model Status Solver Status globally optimal 1 or 15 1 locally optimal/feasible 2 or 8 or 16 1 or 2 or 3 or 4 or 5

### Resource Times:

• Models for each resource time category. Listed are the solver resource times TIME(.) in seconds, as well as the ratio of resource times RATIO(.)for the two solvers if both solved optimally. Models not solved optimally by a solver have status listed instead of resource time.
• 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.
• Solver resource time ratios for a particular model are listed only if both solvers are optimal and if one solver has resource time greater than 5.00E-02.

#### Solver SBB-CONOPT infinitely faster - Obj of SBB-CONOPT better:

 Modelname Time (SBB-CONOPT) Time (BONMIN) Ratio (SBB-CONOPT / BONMIN) Obj (SBB-CONOPT) Obj (BONMIN) 4stufen 2.4000 fail -- 1.16340860E+05 NA beuster 86.4000 fail -- 1.16431316E+05 NA blendgap 0.0300 infeasible -- 0.00000000E+00 NA deb10 0.2300 infeasible -- 2.09427812E+02 NA deb6 6.9000 infeasible -- 2.01739305E+02 NA dosemin2d 666.9700 fail -- 1.73980583E+02 NA ex1252a 0.7500 infeasible -- 1.28893741E+05 NA ex1263a 3.6000 infeasible -- 1.96000000E+01 NA ex1266 5.3300 infeasible -- 1.63000000E+01 NA ex1266a 0.4500 infeasible -- 1.63000000E+01 NA fuzzy 184.6600 fail -- -4.88877286E-01 NA gasnet 0.0900 infeasible -- 7.04532689E+06 NA hda 10.1400 infeasible -- -5.59804813E+03 NA lop97icx 218.6000 fail -- 4.18494489E+03 NA mbtd 3600.3200 fail -- 5.91666000E+00 NA minlphix 0.1100 fail -- 3.16692695E+02 NA hmittelman 0.5100 infeasible -- 1.30000000E+01 NA nous1 0.0300 infeasible -- 1.56707200E+00 NA nvs05 0.0500 fail -- 5.47093411E+00 NA ortez 0.1500 infeasible -- -9.53203905E+03 NA pb302035 3600.4800 fail -- 3.80440300E+06 NA pb351535 2345.6800 fail -- 4.48528800E+06 NA qap 6.2000 fail -- 3.95738000E+05 NA qapw 3.6700 fail -- 3.88870000E+05 NA space25a 9.5900 infeasible -- 4.84328644E+02 NA st_e32 0.1400 infeasible -- -1.43040728E+00 NA st_e35 0.0100 fail -- 1.17178934E+05 NA st_miqp2 0.0300 fail -- 2.00000000E+00 NA stockcycle 98.0100 fail -- 1.43295165E+05 1.79191271E+05 tloss 0.4800 infeasible -- 1.63000000E+01 NA water4 51.3900 infeasible -- 9.13157068E+02 NA

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#### Solver SBB-CONOPT much faster - Obj of SBB-CONOPT better:

 Modelname Time (SBB-CONOPT) Time (BONMIN) Ratio (SBB-CONOPT / BONMIN) Obj (SBB-CONOPT) Obj (BONMIN) cecil_13 5.3000 30.2500 0.175 -1.15544840E+05 -1.08883312E+05 csched2 29.9200 245.7100 0.122 -1.65888736E+05 -1.63376576E+05 csched2a 5.3300 45.6800 0.117 -1.65398701E+05 -1.61131371E+05 deb9 22.7600 100.9600 0.225 1.16584559E+02 1.20682589E+02 oil2 0.4500 1.0900 0.413 -7.33260012E-01 -7.33108858E-01

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#### Solver SBB-CONOPT much faster - Obj same for both solvers:

 Modelname Time (SBB-CONOPT) Time (BONMIN) Ratio (SBB-CONOPT / BONMIN) Obj (SBB-CONOPT) Obj (BONMIN) batch 0.2300 0.8800 0.261 2.85506508E+05 2.85506508E+05 ex1223 0.0600 0.3000 0.200 4.57958240E+00 4.57958241E+00 ex1243 0.1400 1.1700 0.120 8.34025064E+04 8.34025064E+04 ex1244 0.1700 2.1800 0.078 8.20429052E+04 8.20429052E+04 fac2 0.2100 0.4800 0.438 3.31837498E+08 3.31837498E+08 fac3 0.2900 1.8400 0.158 3.19823098E+07 3.19823098E+07 ravem 0.8800 4.7300 0.186 2.69590219E+05 2.69590219E+05 ravempb 0.6000 7.3000 0.082 2.69590219E+05 2.69590219E+05 spectra2 1.3100 10.9100 0.120 1.39783059E+01 1.39783059E+01 synthes3 0.1800 0.4500 0.400 6.80097405E+01 6.80097405E+01 var_con10 1.5100 4.7200 0.320 4.44213954E+02 4.44213954E+02

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#### Solver SBB-CONOPT much faster - Obj of BONMIN better:

 Modelname Time (SBB-CONOPT) Time (BONMIN) Ratio (SBB-CONOPT / BONMIN) Obj (SBB-CONOPT) Obj (BONMIN) du-opt 1.7400 28.4700 0.061 3.56108965E+00 3.55634005E+00 ex1233 0.6700 1.5000 0.447 1.55522462E+05 1.55010671E+05 m7 223.4600 729.5100 0.306 1.23964378E+02 1.06756877E+02 risk2b 0.3900 0.9400 0.415 -5.57361685E+01 -5.58761394E+01 st_testgr1 0.0400 2.9900 --- -1.27281000E+01 -1.28116000E+01 st_testgr3 0.0600 1.8000 0.033 -2.04688000E+01 -2.05900000E+01 util 0.0800 1.1600 0.069 9.99897308E+02 9.99578750E+02

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#### Solver SBB-CONOPT faster - Obj same for both solvers:

 Modelname Time (SBB-CONOPT) Time (BONMIN) Ratio (SBB-CONOPT / BONMIN) Obj (SBB-CONOPT) Obj (BONMIN) contvar 17.8400 29.6500 0.602 8.09149827E+05 8.09149827E+05 du-opt5 20.8200 31.4900 0.661 8.07365758E+00 8.07365758E+00 enpro48 3.3900 5.0300 0.674 1.87277259E+05 1.87277259E+05 enpro48pb 3.1800 4.6100 0.690 1.87277259E+05 1.87277259E+05 ex1223b 0.0000 0.2500 --- 4.57958240E+00 4.57958240E+00 fac1 0.0100 0.1300 --- 1.60912612E+08 1.60912612E+08 m3 0.4000 0.4600 0.870 3.78000000E+01 3.78000000E+01 nous2 0.0300 0.4100 --- 6.25967412E-01 6.25967412E-01 st_e14 0.0200 0.3000 --- 4.57958240E+00 4.57958241E+00

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#### Solver SBB-CONOPT faster - Obj of BONMIN better:

 Modelname Time (SBB-CONOPT) Time (BONMIN) Ratio (SBB-CONOPT / BONMIN) Obj (SBB-CONOPT) Obj (BONMIN) meanvarx 0.0200 0.1600 --- 1.44969830E+01 1.43692321E+01 nuclear14a 1.3300 2.0000 0.665 -1.12821323E+00 -1.12953160E+00 nuclear24a 1.3300 2.0000 0.665 -1.12821323E+00 -1.12953160E+00 risk2bpb 0.4200 0.7800 0.538 -5.57361685E+01 -5.58761394E+01

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#### Solvers perform the same - Obj of SBB-CONOPT better:

 Modelname Time (SBB-CONOPT) Time (BONMIN) Ratio (SBB-CONOPT / BONMIN) Obj (SBB-CONOPT) Obj (BONMIN) gkocis 0.0300 0.0500 --- -1.92309874E+00 -1.72097169E+00 nvs04 0.0200 0.0000 --- 7.20000000E-01 2.12000000E+00 oaer 0.0200 0.0500 --- -1.92309854E+00 -1.72097163E+00 procsel 0.0300 0.0900 --- -1.92309874E+00 -1.72097169E+00 spring 0.0700 0.0700 1.000 8.46245666E-01 1.10182608E+00 st_test8 0.0100 0.0100 --- -2.96050000E+04 -2.95750000E+04

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#### Solvers perform the same - Obj same for both solvers:

 Modelname Time (SBB-CONOPT) Time (BONMIN) Ratio (SBB-CONOPT / BONMIN) Obj (SBB-CONOPT) Obj (BONMIN) alan 0.0100 0.0900 --- 2.92500000E+00 2.92500000E+00 batchdes 0.0400 0.0300 --- 1.67427657E+05 1.67427657E+05 csched1 0.7000 0.6900 1.014 -3.06392578E+04 -3.06392578E+04 csched1a 0.0400 0.0300 --- -3.02797471E+04 -3.02797471E+04 ex1221 0.0100 0.0000 --- 7.66718007E+00 7.66718007E+00 ex1222 0.0100 0.0100 --- 1.07654308E+00 1.07654308E+00 ex1223a 0.0100 0.0200 --- 4.57958240E+00 4.57958240E+00 ex1224 0.0800 0.0300 --- -9.43470500E-01 -9.43470500E-01 ex1225 0.0200 0.0200 --- 3.10000000E+01 3.10000000E+01 ex1226 0.0000 0.0100 --- -1.70000000E+01 -1.70000000E+01 ex1265a 0.1100 0.0100 --- 1.51000000E+01 1.51000000E+01 feedtray 0.0300 0.0500 --- -1.34059977E+01 -1.34059977E+01 fuel 0.0100 0.0300 --- 8.56611896E+03 8.56611896E+03 gbd 0.0000 0.0100 --- 2.20000000E+00 2.20000000E+00 nvs01 0.0100 0.0100 --- 1.24696688E+01 1.24696688E+01 nvs02 0.0400 0.0300 --- 5.96418452E+00 5.96418452E+00 nvs03 0.0200 0.0100 --- 1.60000000E+01 1.60000000E+01 nvs06 0.0000 0.0300 --- 1.77031250E+00 1.77031250E+00 nvs07 0.0200 0.0000 --- 4.00000000E+00 4.00000000E+00 nvs08 0.0400 0.0800 --- 2.34497273E+01 2.34497273E+01 nvs09 0.0000 0.0000 --- -4.31343369E+01 -4.31343369E+01 nvs10 0.0200 0.0300 --- -3.10800000E+02 -3.10800000E+02 prob02 0.0100 0.0100 --- 1.12235000E+05 1.12235000E+05 prob03 0.0200 0.0100 --- 1.00000000E+01 1.00000000E+01 prob10 0.0200 0.0500 --- 3.44550379E+00 3.44550379E+00 pump 0.0200 0.0200 --- 1.34263585E+05 1.34263585E+05 sep1 0.0100 0.0400 --- -5.10080984E+02 -5.10080984E+02 st_e27 0.0000 0.0100 --- 2.00000000E+00 2.00000000E+00 st_e29 0.0500 0.0200 --- -9.43470500E-01 -9.43470500E-01 st_e38 0.0000 0.0100 --- 7.19772715E+03 7.19772715E+03 st_miqp1 0.0300 0.0200 --- 2.81000000E+02 2.81000000E+02 st_miqp3 0.0000 0.0100 --- -6.00000000E+00 -6.00000000E+00 st_miqp4 0.0000 0.0400 --- -4.57400000E+03 -4.57400000E+03 st_miqp5 0.0000 0.0200 --- -3.33888889E+02 -3.33888889E+02 st_test5 0.0600 0.0000 --- -1.10000000E+02 -1.10000000E+02 st_test6 0.0900 0.0100 --- 4.71000000E+02 4.71000000E+02 st_testph4 0.0200 0.0100 --- -8.05000000E+01 -8.05000000E+01 synthes2 0.0400 0.1000 --- 7.30353125E+01 7.30353125E+01 windfac 0.0000 0.0300 --- 2.54487298E-01 2.54487298E-01

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#### Solvers perform the same - Obj of BONMIN better:

 Modelname Time (SBB-CONOPT) Time (BONMIN) Ratio (SBB-CONOPT / BONMIN) Obj (SBB-CONOPT) Obj (BONMIN) eg_disc2_s 6.2400 6.6500 0.938 5.93637221E+00 5.64210058E+00 eniplac 12.8700 12.3600 1.041 -1.30344370E+05 -1.31091693E+05

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#### Solver BONMIN faster - Obj of SBB-CONOPT better:

 Modelname Time (SBB-CONOPT) Time (BONMIN) Ratio (SBB-CONOPT / BONMIN) Obj (SBB-CONOPT) Obj (BONMIN) ex1252 1.3000 0.7700 1.688 1.28893741E+05 1.49530994E+05 tln6 35.1900 30.8000 1.143 1.63000000E+01 2.49000000E+01

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#### Solver BONMIN faster - Obj same for both solvers:

 Modelname Time (SBB-CONOPT) Time (BONMIN) Ratio (SBB-CONOPT / BONMIN) Obj (SBB-CONOPT) Obj (BONMIN) enpro56pb 22.4800 13.7700 1.633 2.63428301E+05 2.63428301E+05 ex3 0.1800 0.1200 1.500 6.80097441E+01 6.80097441E+01 ex3pb 0.2400 0.1300 1.846 6.80097441E+01 6.80097441E+01 ex4 2.1700 1.8700 1.160 -8.06413616E+00 -8.06413616E+00 synheat 1.2200 0.8600 1.419 1.54997335E+05 1.54997335E+05

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#### Solver BONMIN faster - Obj of BONMIN better:

 Modelname Time (SBB-CONOPT) Time (BONMIN) Ratio (SBB-CONOPT / BONMIN) Obj (SBB-CONOPT) Obj (BONMIN) m6 196.7700 128.1900 1.535 1.29824936E+02 8.22568769E+01

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#### Solver BONMIN much faster - Obj of SBB-CONOPT better:

 Modelname Time (SBB-CONOPT) Time (BONMIN) Ratio (SBB-CONOPT / BONMIN) Obj (SBB-CONOPT) Obj (BONMIN) eg_all_s 16.4400 3.1000 5.303 7.92018223E+00 1.08441757E+01 eg_disc_s 13.8100 3.6800 3.753 5.76053962E+00 6.46585587E+00 eg_int_s 23.1100 0.9100 25.396 6.45310316E+00 8.12691365E+00 elf 0.5600 0.0700 8.000 4.34666666E-01 5.02500000E+00 ex1263 29.4400 0.0800 368.000 1.96000000E+01 3.01000000E+01 ex1264 40.3000 0.0400 --- 8.60000000E+00 1.11000000E+01 ex1264a 5.0800 0.0100 --- 8.60000000E+00 1.11000000E+01 ex1265 1.5300 0.0700 21.857 1.13000000E+01 1.51000000E+01 gear4 33.5200 0.1300 257.846 1.64342847E+00 3.96816236E+04 space25 85.4300 38.3800 2.226 4.84328644E+02 5.62319686E+02

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#### Solver BONMIN much faster - Obj same for both solvers:

 Modelname Time (SBB-CONOPT) Time (BONMIN) Ratio (SBB-CONOPT / BONMIN) Obj (SBB-CONOPT) Obj (BONMIN) enpro56 31.5100 8.5600 3.681 2.63428301E+05 2.63428301E+05 gastrans 0.5500 0.1500 3.667 8.90858400E+01 8.90858400E+01 gear 0.6400 0.0300 --- 0.00000000E+00 5.04146363E-07 gear2 14.9500 4.1900 3.568 9.74565345E-10 2.35764066E-09 gear3 0.6400 0.1500 4.267 0.00000000E+00 5.04146363E-07 johnall 1.9600 0.1500 13.067 -2.24730162E+02 -2.24730162E+02 parallel 0.4000 0.1600 2.500 9.24295551E+02 9.24295551E+02 var_con5 1.7800 0.8100 2.198 2.78144894E+02 2.78144894E+02

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#### Solver BONMIN much faster - Obj of BONMIN better:

 Modelname Time (SBB-CONOPT) Time (BONMIN) Ratio (SBB-CONOPT / BONMIN) Obj (SBB-CONOPT) Obj (BONMIN) nuclearva 6.0200 0.9300 6.473 -1.01012730E+00 -1.01122505E+00 waterx 112.8200 0.4100 275.171 9.38862849E+02 9.09027863E+02

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#### Solver BONMIN infinitely faster - Obj of BONMIN better:

 Modelname Time (SBB-CONOPT) Time (BONMIN) Ratio (SBB-CONOPT / BONMIN) Obj (SBB-CONOPT) Obj (BONMIN) deb7 infeasible 39.5900 -- 1.43492391E+02 1.20682589E+02 deb8 infeasible 8.9300 -- 2.49467682E+03 1.20682589E+02 feedtray2 infeasible 1.0100 -- 0.00000000E+00 0.00000000E+00 st_e13 infeasible 0.0100 -- 1.00000000E+00 2.00000000E+00 st_e15 infeasible 0.0000 -- 3.00000000E+00 7.66718007E+00 st_e31 infeasible 0.2600 -- 0.00000000E+00 -2.00000000E+00 st_e36 infeasible 0.0600 -- 0.00000000E+00 -2.37688891E+02 tln12 fail 3362.4500 -- 0.00000000E+00 2.37400000E+02

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#### Both solvers failed to solve optimally - Obj same for both solvers:

 Modelname Time (SBB-CONOPT) Time (BONMIN) Ratio (SBB-CONOPT / BONMIN) Obj (SBB-CONOPT) Obj (BONMIN) fo7 fail fail -- 0.00000000E+00 2.07298251E+01 o7 fail fail -- 0.00000000E+00 1.34678221E+02 pb302095 fail fail -- 0.00000000E+00 NA pb351595 fail fail -- 0.00000000E+00 NA st_e40 infeasible infeasible -- 4.41421350E+00 NA tln7 fail fail -- 0.00000000E+00 4.18000000E+01 tls12 fail fail -- 0.00000000E+00 NA tltr infeasible infeasible -- 0.00000000E+00 NA tls6 fail fail -- 0.00000000E+00 1.68000000E+01 tls7 fail fail -- 0.00000000E+00 1.92000000E+01

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