## Resource Times:

 Date / Time: 09/29/08 16:21:55

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 : BONMIN-3.trc.convex Tracefile 2 : BONMIN-5.trc.convex Solvers used : BONMINBB3 BONMINHyb Modeltype(s) MINLP Threshold: Solver Faster 10% Threshold: Solver Much Faster 50% Threshold: Solver Infinitely Faster Other solver failed

 Total Obj BONMINBB3 better Obj same Obj BONMINHyb better Solver BONMINBB3 infinitely faster : 1 1 - - Solver BONMINBB3 much faster : - - - - Solver BONMINBB3 faster : - - - - Solvers perform the same : 4 1 3 - Solver BONMINHyb faster : 12 1 11 - Solver BONMINHyb much faster : 14 1 11 2 Solver BONMINHyb infinitely faster : 5 - - 5 Both solvers failed to solve optimally : 2 - 2 - Total models: : 38 4 27 7

### 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 BONMINBB3 infinitely faster - Obj of BONMINBB3 better:

 Modelname Time (BONMINBB3) Time (BONMINHyb) Ratio (BONMINBB3 / BONMINHyb) Obj (BONMINBB3) Obj (BONMINHyb) stockcycle 158.8300 fail -- 1.19948688E+05 NA

#### Solvers perform the same - Obj of BONMINBB3 better:

 Modelname Time (BONMINBB3) Time (BONMINHyb) Ratio (BONMINBB3 / BONMINHyb) Obj (BONMINBB3) Obj (BONMINHyb) du-opt 7.1800 7.0800 1.014 3.57591364E+00 3.57912580E+00

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

 Modelname Time (BONMINBB3) Time (BONMINHyb) Ratio (BONMINBB3 / BONMINHyb) Obj (BONMINBB3) Obj (BONMINHyb) alan 0.2800 0.2700 1.037 2.92500000E+00 2.92500000E+00 nvs10 0.1000 0.0200 --- -3.10800000E+02 -3.10800000E+02 st_miqp3 0.0400 0.0000 --- -6.00000000E+00 -6.00000000E+00

#### Solver BONMINHyb faster - Obj of BONMINBB3 better:

 Modelname Time (BONMINBB3) Time (BONMINHyb) Ratio (BONMINBB3 / BONMINHyb) Obj (BONMINBB3) Obj (BONMINHyb) st_test8 0.2500 0.0100 --- -2.96050000E+04 -2.95750000E+04

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

 Modelname Time (BONMINBB3) Time (BONMINHyb) Ratio (BONMINBB3 / BONMINHyb) Obj (BONMINBB3) Obj (BONMINHyb) du-opt5 7.3500 4.1700 1.763 8.07365758E+00 8.07365758E+00 ex1223a 0.1300 0.0200 --- 4.57958240E+00 4.57958240E+00 gbd 0.1500 0.0100 --- 2.20000000E+00 2.20000000E+00 nvs03 0.2400 0.0000 --- 1.60000000E+01 1.60000000E+01 st_e14 0.3300 0.1800 1.833 4.57958240E+00 4.57958249E+00 st_miqp1 0.1800 0.0000 --- 2.81000000E+02 2.81000000E+02 st_miqp4 0.2700 0.0400 --- -4.57400000E+03 -4.57400000E+03 st_miqp5 0.1200 0.0700 1.714 -3.33888889E+02 -3.33888889E+02 st_testph4 0.1500 0.0000 --- -8.05000000E+01 -8.05000000E+01 synthes1 0.3100 0.1600 1.938 6.00975891E+00 6.00975891E+00 synthes3 0.9100 0.5900 1.542 6.80097405E+01 6.80097405E+01

#### Solver BONMINHyb much faster - Obj of BONMINBB3 better:

 Modelname Time (BONMINBB3) Time (BONMINHyb) Ratio (BONMINBB3 / BONMINHyb) Obj (BONMINBB3) Obj (BONMINHyb) st_testgr3 3.8700 0.0500 77.400 -2.05055000E+01 -2.04775000E+01

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

 Modelname Time (BONMINBB3) Time (BONMINHyb) Ratio (BONMINBB3 / BONMINHyb) Obj (BONMINBB3) Obj (BONMINHyb) batch 6.8500 2.3100 2.965 2.85506508E+05 2.85506508E+05 ex1223 0.3300 0.1200 2.750 4.57958240E+00 4.57958249E+00 ex1223b 0.3200 0.0800 4.000 4.57958240E+00 4.57958240E+00 fac1 0.7000 0.1200 5.833 1.60912612E+08 1.60912612E+08 fac3 4.7500 0.5100 9.314 3.19823098E+07 3.19823098E+07 m3 11.1700 0.1400 79.786 3.78000000E+01 3.78000000E+01 meanvarx 0.6800 0.3100 2.194 1.43692321E+01 1.43692321E+01 risk2bpb 20.5500 2.5800 7.965 -5.58761394E+01 -5.58761394E+01 st_test5 2.2200 0.0100 --- -1.10000000E+02 -1.10000000E+02 st_test6 3.5300 0.0100 --- 4.71000000E+02 4.71000000E+02 synthes2 0.7000 0.1500 4.667 7.30353125E+01 7.30353125E+01

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

 Modelname Time (BONMINBB3) Time (BONMINHyb) Ratio (BONMINBB3 / BONMINHyb) Obj (BONMINBB3) Obj (BONMINHyb) m6 3600.3000 17.9600 200.462 8.22855188E+01 8.22568769E+01 st_testgr1 0.5600 0.2200 2.545 -1.27859500E+01 -1.27929000E+01

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

 Modelname Time (BONMINBB3) Time (BONMINHyb) Ratio (BONMINBB3 / BONMINHyb) Obj (BONMINBB3) Obj (BONMINHyb) fo7 fail 1021.7900 -- NA 2.07298251E+01 m7 fail 124.7100 -- NA 1.06756877E+02 o7 fail 3605.5100 -- NA 1.31660328E+02 tls6 fail 3605.1400 -- NA 1.53000000E+01 tls7 fail 3606.7900 -- NA 1.74000000E+01