## Resource Times:

 Date / Time: 09/02/07 12:34:36

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 : 2-SBB-5.trc.convex Tracefile 2 : 3-SBB-4.trc.convex Solvers used : SBB-IPOPT SBB-CONOPT-IPOPT Modeltype(s) MINLP Threshold: Solver Faster 10% Threshold: Solver Much Faster 50% Threshold: Solver Infinitely Faster Other solver failed

 Total Obj SBB-IPOPT better Obj same Obj SBB-CONOPT-IPOPT better Solver SBB-IPOPT infinitely faster : - - - - Solver SBB-IPOPT much faster : 1 1 - - Solver SBB-IPOPT faster : 2 2 - - Solvers perform the same : 9 - 8 1 Solver SBB-CONOPT-IPOPT faster : 9 1 8 - Solver SBB-CONOPT-IPOPT much faster : 14 2 11 1 Solver SBB-CONOPT-IPOPT infinitely faster : - - - - Both solvers failed to solve optimally : 5 - 5 - Total models: : 40 6 32 2

### 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-IPOPT much faster - Obj of SBB-IPOPT better:

 Modelname Time (SBB-IPOPT) Time (SBB-CONOPT-IPOPT) Ratio (SBB-IPOPT / SBB-CONOPT-IPOPT) Obj (SBB-IPOPT) Obj (SBB-CONOPT-IPOPT) stockcycle 30.5900 98.6000 0.310 1.19948688E+05 1.43295165E+05

#### Solver SBB-IPOPT faster - Obj of SBB-IPOPT better:

 Modelname Time (SBB-IPOPT) Time (SBB-CONOPT-IPOPT) Ratio (SBB-IPOPT / SBB-CONOPT-IPOPT) Obj (SBB-IPOPT) Obj (SBB-CONOPT-IPOPT) m6 255.3300 351.4800 0.726 1.06256877E+02 1.29824936E+02 m7 266.1500 425.1600 0.626 1.18756877E+02 1.23964378E+02

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

 Modelname Time (SBB-IPOPT) Time (SBB-CONOPT-IPOPT) Ratio (SBB-IPOPT / SBB-CONOPT-IPOPT) Obj (SBB-IPOPT) Obj (SBB-CONOPT-IPOPT) alan 0.0900 0.0400 --- 2.92500000E+00 2.92500000E+00 ex1223a 0.0700 0.0100 --- 4.57958240E+00 4.57958240E+00 gbd 0.0400 0.0000 --- 2.20000000E+00 2.20000000E+00 nvs10 0.0500 0.0100 --- -3.10800000E+02 -3.10800000E+02 st_miqp3 0.0200 0.0000 --- -6.00000000E+00 -6.00000000E+00 st_miqp5 0.0200 0.0000 --- -3.33888889E+02 -3.33888889E+02 st_test8 0.0900 0.0100 --- -2.96050000E+04 -2.96050000E+04 st_testph4 0.0800 0.0200 --- -8.05000000E+01 -8.05000000E+01

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

 Modelname Time (SBB-IPOPT) Time (SBB-CONOPT-IPOPT) Ratio (SBB-IPOPT / SBB-CONOPT-IPOPT) Obj (SBB-IPOPT) Obj (SBB-CONOPT-IPOPT) st_miqp4 0.1000 0.0000 --- -3.09282488E+03 -4.57400000E+03

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

 Modelname Time (SBB-IPOPT) Time (SBB-CONOPT-IPOPT) Ratio (SBB-IPOPT / SBB-CONOPT-IPOPT) Obj (SBB-IPOPT) Obj (SBB-CONOPT-IPOPT) meanvarx 0.2700 0.0100 --- 1.44040623E+01 1.44969830E+01

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

 Modelname Time (SBB-IPOPT) Time (SBB-CONOPT-IPOPT) Ratio (SBB-IPOPT / SBB-CONOPT-IPOPT) Obj (SBB-IPOPT) Obj (SBB-CONOPT-IPOPT) ex1223 0.2100 0.0400 --- 4.57958240E+00 4.57958240E+00 ex1223b 0.1700 0.0300 --- 4.57958240E+00 4.57958240E+00 m3 1.7600 1.1700 1.504 3.78000000E+01 3.78000000E+01 st_e14 0.1900 0.0400 --- 4.57958240E+00 4.57958240E+00 st_miqp1 0.1400 0.0100 --- 2.81000000E+02 2.81000000E+02 st_miqp2 0.2800 0.0100 --- 2.00000000E+00 2.00000000E+00 st_testgr1 0.2900 0.0300 --- -1.27281000E+01 -1.27281000E+01 synthes1 0.1200 0.0100 --- 6.00975891E+00 6.00975891E+00

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

 Modelname Time (SBB-IPOPT) Time (SBB-CONOPT-IPOPT) Ratio (SBB-IPOPT / SBB-CONOPT-IPOPT) Obj (SBB-IPOPT) Obj (SBB-CONOPT-IPOPT) st_e35 3.8600 0.0100 --- 6.48680769E+04 1.17178934E+05 st_testgr3 4.0600 0.0300 --- -2.05274000E+01 -2.04688000E+01

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

 Modelname Time (SBB-IPOPT) Time (SBB-CONOPT-IPOPT) Ratio (SBB-IPOPT / SBB-CONOPT-IPOPT) Obj (SBB-IPOPT) Obj (SBB-CONOPT-IPOPT) batch 1.6400 0.7200 2.278 2.85506508E+05 2.85506508E+05 du-opt5 52.4700 20.8200 2.520 8.07365758E+00 8.07365758E+00 fac1 1.8700 0.0200 --- 1.60912612E+08 1.60912612E+08 fac3 7.1700 0.1900 37.737 3.19823098E+07 3.19823098E+07 nvs03 0.1500 0.0500 3.000 1.60000000E+01 1.60000000E+01 risk2b 32.0200 0.3700 86.541 -5.57361685E+01 -5.57361685E+01 risk2bpb 20.7100 0.4300 48.163 -5.57361685E+01 -5.57361685E+01 st_test5 0.6400 0.0400 --- -1.10000000E+02 -1.10000000E+02 st_test6 0.7300 0.1100 6.636 4.71000000E+02 4.71000000E+02 synthes2 0.4200 0.0800 5.250 7.30353125E+01 7.30353125E+01 synthes3 1.3100 0.1600 8.188 6.80097405E+01 6.80097405E+01

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

 Modelname Time (SBB-IPOPT) Time (SBB-CONOPT-IPOPT) Ratio (SBB-IPOPT / SBB-CONOPT-IPOPT) Obj (SBB-IPOPT) Obj (SBB-CONOPT-IPOPT) du-opt 3.9700 1.7300 2.295 3.56468638E+00 3.56108965E+00