Open FFiand opened 10 months ago
Instance | Model Status | Elapsed Time [s] | Total Seconds [s] | Compilation Time [s] | Execution Time [s] | Generation Time [s] | Solver Time [s] | Startup Time [s] | Closedown Time [s] | Highwater RSS [GB] | Highwater VSS [GB] | # Rows | # Columns | # Non Zeros | # Non Zeros per s | RHS [min, max] | Bound [min, max] | Matrix [min, max] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | FEASIBLE SOLUTION | 75.11 | 70.16 | 1.75 | 40.36 | 13.39 | 28.03 | 0.02 | 0.00 | 2.85 | 3.20 | 624,436 | 863,666 | 4,650,991 | 347,322.16 | 9.222E-05, 3.258E+06 | 7.001E-06, 6.612E+07 | 6.977E-09, 2.535E+06 |
BAU_IND_V2 | OPTIMAL | 7,753.52 | 7,740.36 | 2.52 | 166.44 | 113.83 | 7,571.39 | 0.02 | 0.00 | 22.81 | 26.23 | 6,750,106 | 6,399,364 | 40,479,629 | 355,621.02 | 1.566E-14, 2.285E+05 | 3.516E-09, 5.000E+04 | 1.623E-07, 3.352E+06 |
BEAM-ME_Instances/672_11_8 | OPTIMAL | 13,005.10 | 12,979.09 | 0.56 | 363.55 | 251.36 | 12,614.98 | 0.00 | 0.00 | 62.67 | 70.11 | 21,108,711 | 15,111,159 | 124,095,043 | 493,694.47 | 4.097E-06, 5.940E+05 | 2.680E-02, 2.676E+05 | 1.882E-04, 1.663E+04 |
BEAM-ME_Instances/672_22_8 | INTERMEDIATE INFEASIBLE | 43,946.87 | 43,891.17 | 0.97 | 653.31 | 432.31 | 43,236.88 | 0.01 | 0.00 | 112.88 | 163.87 | 37,645,140 | 27,331,345 | 218,532,379 | 505,495.74 | 1.405E-06, 5.940E+05 | 8.298E-03, 2.676E+05 | 2.675E-04, 1.663E+04 |
BEAM-ME_Instances/2016_22_8 | ERROR NO SOLUTION | 3,330.59 | 1,969.62 | 2.09 | 1,930.45 | 1,752.70 | 1,201.00 | 17.39 | 19.69 | 115.10 | 215.29 | 112,857,882 | 81,947,383 | 658,167,482 | 375,515.69 | 2.460E-07, 5.940E+05 | 8.298E-03, 2.676E+05 | 1.946E-06, 1.663E+04 |
E4SMA | FEASIBLE SOLUTION | 1,379.17 | 1,360.83 | 1.89 | 140.36 | 56.80 | 1,218.56 | 0.02 | 0.00 | 17.91 | 19.95 | 4,229,763 | 4,437,740 | 32,382,036 | 570,136.38 | 7.402E-16, 4.407E+06 | 9.557E-06, 1.000E+09 | 1.258E-09, 1.610E+06 |
GAZNAT_V1_Instance | FEASIBLE SOLUTION | 15,483.52 | 15,470.69 | 3.59 | 137.92 | 93.22 | 15,329.16 | 0.02 | 0.00 | 19.17 | 20.62 | 5,336,684 | 4,555,729 | 34,188,921 | 366,759.15 | 1.566E-14, 2.291E+05 | 3.516E-09, 3.000E+06 | 1.623E-07, 3.352E+06 |
POLIZERO_V1_Instance | FEASIBLE SOLUTION | 2,866.62 | 2,845.72 | 4.83 | 236.00 | 114.53 | 2,604.88 | 0.01 | 0.00 | 22.65 | 24.69 | 5,640,942 | 6,991,820 | 48,190,465 | 420,763.51 | 7.918E-19, 5.440E+05 | 3.837E-19, 1.000E+07 | 7.309E-08, 4.178E+06 |
POLIZERO_V2_Instance | FEASIBLE SOLUTION | 5,111.24 | 5,064.34 | 4.27 | 420.73 | 192.95 | 4,639.33 | 0.01 | 0.00 | 36.28 | 40.14 | 10,540,301 | 13,847,195 | 69,064,648 | 357,935.08 | 1.918E-18, 8.825E+06 | 1.823E-19, 2.919E+07 | 9.620E-19, 2.269E+06 |
TIMES-DK-Instance | OPTIMAL | 149.12 | 147.76 | 2.12 | 16.14 | 7.94 | 129.50 | 0.00 | 0.00 | 2.65 | 4.01 | 867,042 | 1,031,037 | 4,740,351 | 597,247.20 | 3.577E-08, 7.453E+04 | 4.606E-05, 4.500E+04 | 1.909E-09, 4.282E+06 |
UK-TIMES | OPTIMAL | 101.42 | 99.08 | 0.53 | 20.06 | 11.23 | 78.48 | 0.00 | 0.00 | 3.03 | 3.29 | 875,780 | 932,609 | 6,883,510 | 612,684.47 | 4.659E-05, 6.697E+05 | 6.000E-04, 5.867E+05 | 2.793E-11, 3.746E+05 |
The following table shows the sum of time spend in an equation/assignment across all benchmarked instances (Total Time [s]) as well as the average percentage of time spend in an equation/assignment relative to the execution time. Based on the amount of time GAMS spends in specific equations/assignments bottlenecks can be identified and reviewed with higher priority.
$s \in S$: set of statements (equations and assignments) $i \in I$: set of benchmarked instances $StatementTime_{s,i}$: time spend in statement $s$ for instance $i$ $ExecutionTime_i$: execution time of instance $i$
$Total Times = \sum{i \in I} StatementTime_{s,i}$ $RelativeTimes = (\sum{i \in I} \frac{StatementTime_{s,i}}{ExecutionTime_i}$ * 100}) / |I|
Description | Total Time [s] | relative to Execution Time [%] |
---|---|---|
Equation EQL_ACTUPC | 268.93 | 27.44 |
Equation EQE_UCRS | 28.44 | 18.87 |
Equation EQE_COMBAL | 87.74 | 12.30 |
Equation EQE_UCT | 28.56 | 12.10 |
Equation EQ_ACTRAMP | 83.19 | 7.71 |
Equation EQE_UCRTS | 23.78 | 7.69 |
Equation EQG_COMBAL | 8.09 | 3.51 |
Equation EQ_PEAK | 21.63 | 2.84 |
Equation EQ_OBJVAR | 4.60 | 1.99 |
Equation EQL_CAPACT | 11.24 | 1.97 |
Equation EQE_ACTEFF | 9.17 | 1.90 |
SolveLink
ImpactThe SolveLink
option specifies what solver linking conventions are used when GAMS executes a solve statement.
SolveLink=2
(default): Model instance saved to scratch directory, the solver is called with a spawn (if possible) or a shell (if spawn is not possible) while GAMS remains open - If this is not supported by the selected solver, it gets reset to 1 automatically.
SolveLink=0
: Model instance and entire GAMS state saved to scratch directory, GAMS exits (and vacates memory), and the solver script is called. After the solver terminates, GAMS restarts from the saved state and continues to executing. Is often beneficial for memory intensive models.
SolveLink=5
: The model instance is passed to the solver in-memory - If this is not supported by the selected solver, it gets reset to 2 automatically. Is memory intensive but beneficial if multiple solves are executed.
While the results show differences for the time spend in different parts of the solve process (e.g. compilation, execution, startup, etc.) depending on the SolveLink
value, we do not observe an impact on the total elapsed time for both SolveLink=0
and SolveLink=5
compared to the default SolveLink=2
. However, we see a significant reduction in memory consumption (Highwater RSS and VSS) of ~22% by setting SolveLink=0
.
SolveLink=0
Instance | Elapsed Time [%] | Total Seconds [%] | Compilation Time [%] | Execution Time [%] | Generation Time [%] | Solver Time [%] | Startup Time [%] | Closedown Time [%] | Highwater RSS [%] | Highwater VSS [%] | # Rows [%] | # Columns [%] | # Non Zeros [%] | # Non Zeros per s [%] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | -0.13 | -43.21 | -9.83 | -10.22 | -0.46 | 2.34 | 7,425.00 | inf | -47.02 | -45.94 | 0.00 | 0.00 | 0.00 | 0.47 |
BAU_IND_V2 | -1.02 | -98.08 | 27.36 | -15.17 | 0.71 | -0.94 | 13,868.75 | inf | -18.06 | -15.75 | 0.00 | 0.00 | 0.00 | -0.71 |
BEAM-ME_Instances/672_11_8 | -0.80 | -97.75 | 25.09 | -21.64 | -0.29 | -0.58 | inf | inf | -15.59 | -15.28 | 0.00 | 0.00 | 0.00 | 0.29 |
BEAM-ME_Instances/672_22_8 | -0.16 | -98.85 | 1.65 | -25.29 | 2.74 | -0.01 | 48,960.00 | inf | 1.40 | -11.61 | 0.00 | 0.00 | 0.00 | -2.67 |
E4SMA | 0.07 | -91.21 | -28.93 | -18.23 | -0.61 | 1.13 | 12,006.25 | inf | -21.44 | -19.35 | 0.00 | 0.00 | 0.00 | 0.61 |
GAZNAT_V1_Instance | -1.13 | -99.20 | -0.03 | -14.99 | 1.24 | -1.10 | 11,518.75 | inf | -17.21 | -16.00 | 0.00 | 0.00 | 0.00 | -1.22 |
POLIZERO_V1_Instance | -0.13 | -92.47 | 12.30 | -14.61 | 1.28 | 0.32 | 28,440.00 | inf | -29.32 | -26.97 | 0.00 | 0.00 | 0.00 | -1.27 |
POLIZERO_V2_Instance | -0.55 | -92.72 | 1.45 | -15.91 | -0.48 | 0.08 | 39,273.33 | inf | -28.83 | -26.21 | 0.00 | 0.00 | 0.00 | 0.48 |
TIMES-DK-Instance | -0.63 | -89.33 | -8.09 | -17.81 | 0.00 | 0.05 | inf | inf | -23.40 | -15.21 | 0.00 | 0.00 | 0.00 | 0.00 |
UK-TIMES | -1.62 | -82.71 | -5.84 | -20.17 | -2.65 | -0.24 | inf | inf | -26.73 | -24.62 | 0.00 | 0.00 | 0.00 | 2.72 |
mean | -0.61 | -88.55 | 1.51 | -17.40 | 0.15 | 0.10 | inf | inf | -22.62 | -21.69 | 0.00 | 0.00 | 0.00 | -0.13 |
SolveLink=5
Instance | Elapsed Time [%] | Total Seconds [%] | Compilation Time [%] | Execution Time [%] | Generation Time [%] | Solver Time [%] | Startup Time [%] | Closedown Time [%] | Highwater RSS [%] | Highwater VSS [%] | # Rows [%] | # Columns [%] | # Non Zeros [%] | # Non Zeros per s [%] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | 0.11 | 1.49 | 0.00 | -2.24 | -0.23 | 7.02 | -100.00 | nan | 0.35 | 1.56 | 0.00 | 0.00 | 0.00 | 0.23 |
BAU_IND_V2 | -0.76 | -0.76 | 25.49 | -3.57 | 1.63 | -0.71 | -6.25 | nan | -0.13 | 0.00 | 0.00 | 0.00 | 0.00 | -1.61 |
BEAM-ME_Instances/672_11_8 | -1.34 | -1.36 | 27.94 | -7.41 | 0.19 | -1.18 | inf | nan | 2.74 | 1.18 | 0.00 | 0.00 | 0.00 | -0.19 |
BEAM-ME_Instances/672_22_8 | -0.08 | -0.09 | 0.00 | -6.13 | 2.74 | 0.00 | -100.00 | nan | 1.53 | 0.51 | 0.00 | 0.00 | 0.00 | -2.67 |
E4SMA | 0.41 | 0.40 | 22.32 | -5.74 | -1.95 | 1.07 | 93.75 | nan | -0.73 | -0.70 | 0.00 | 0.00 | 0.00 | 1.99 |
GAZNAT_V1_Instance | -0.74 | -0.74 | 0.45 | -4.73 | 1.19 | -0.71 | 0.00 | nan | -0.21 | -0.15 | 0.00 | 0.00 | 0.00 | -1.18 |
POLIZERO_V1_Instance | -1.59 | -1.62 | 8.41 | -2.26 | 0.38 | -1.58 | 0.00 | nan | -1.02 | -0.93 | 0.00 | 0.00 | 0.00 | -0.38 |
POLIZERO_V2_Instance | -0.01 | -0.06 | 1.10 | -2.99 | 1.08 | 0.21 | 6.67 | nan | 0.61 | -0.60 | 0.00 | 0.00 | 0.00 | -1.07 |
TIMES-DK-Instance | -0.08 | -0.09 | -7.34 | -4.06 | 0.79 | 0.51 | inf | nan | -0.75 | -0.25 | 0.00 | 0.00 | 0.00 | -0.79 |
UK-TIMES | -1.26 | -1.26 | 64.78 | -7.86 | -2.65 | -0.02 | nan | nan | -0.66 | -0.61 | 0.00 | 0.00 | 0.00 | 2.72 |
mean | -0.53 | -0.41 | 14.31 | -4.70 | 0.32 | 0.46 | inf | nan | 0.17 | 0.00 | 0.00 | 0.00 | 0.00 | -0.30 |
SolveLink=5
Instance | Model Status | Elapsed Time [s] | Total Seconds [s] | Compilation Time [s] | Execution Time [s] | Generation Time [s] | Solver Time [s] | Startup Time [s] | Closedown Time [s] | Highwater RSS [GB] | Highwater VSS [GB] | # Rows | # Columns | # Non Zeros | # Non Zeros per s | RHS [min, max] | Bound [min, max] | Matrix [min, max] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | FEASIBLE SOLUTION | 75.19 | 71.20 | 1.75 | 39.45 | 13.36 | 30.00 | 0.00 | 0.00 | 2.86 | 3.25 | 624,436 | 863,666 | 4,650,991 | 348,128.07 | 9.222E-05, 3.258E+06 | 7.001E-06, 6.612E+07 | 6.977E-09, 2.535E+06 |
BAU_IND_V2 | OPTIMAL | 7,694.53 | 7,681.22 | 3.16 | 160.50 | 115.69 | 7,517.55 | 0.01 | 0.00 | 22.78 | 26.23 | 6,750,106 | 6,399,364 | 40,479,629 | 349,906.46 | 1.566E-14, 2.285E+05 | 3.516E-09, 5.000E+04 | 1.623E-07, 3.352E+06 |
BEAM-ME_Instances/672_11_8 | OPTIMAL | 12,831.06 | 12,803.19 | 0.72 | 336.61 | 251.84 | 12,465.84 | 0.02 | 0.00 | 64.39 | 70.94 | 21,108,711 | 15,111,159 | 124,095,043 | 492,747.64 | 4.097E-06, 5.940E+05 | 2.680E-02, 2.676E+05 | 1.882E-04, 1.663E+04 |
BEAM-ME_Instances/672_22_8 | INTERMEDIATE INFEASIBLE | 43,913.10 | 43,852.42 | 0.97 | 613.30 | 444.17 | 43,238.16 | 0.00 | 0.00 | 114.61 | 164.71 | 37,645,140 | 27,331,345 | 218,532,379 | 491,999.45 | 1.405E-06, 5.940E+05 | 8.298E-03, 2.676E+05 | 2.675E-04, 1.663E+04 |
E4SMA | FEASIBLE SOLUTION | 1,384.83 | 1,366.25 | 2.31 | 132.30 | 55.69 | 1,231.61 | 0.03 | 0.00 | 17.78 | 19.81 | 4,229,763 | 4,437,740 | 32,382,036 | 581,500.82 | 7.402E-16, 4.407E+06 | 9.557E-06, 1.000E+09 | 1.258E-09, 1.610E+06 |
GAZNAT_V1_Instance | FEASIBLE SOLUTION | 15,368.92 | 15,355.77 | 3.61 | 131.40 | 94.33 | 15,220.74 | 0.02 | 0.00 | 19.13 | 20.59 | 5,336,684 | 4,555,729 | 34,188,921 | 362,447.22 | 1.566E-14, 2.291E+05 | 3.516E-09, 3.000E+06 | 1.623E-07, 3.352E+06 |
POLIZERO_V1_Instance | FEASIBLE SOLUTION | 2,821.12 | 2,799.70 | 5.23 | 230.66 | 114.97 | 2,563.80 | 0.01 | 0.00 | 22.42 | 24.46 | 5,640,942 | 6,991,820 | 48,190,465 | 419,160.51 | 7.918E-19, 5.440E+05 | 3.837E-19, 1.000E+07 | 7.309E-08, 4.178E+06 |
POLIZERO_V2_Instance | FEASIBLE SOLUTION | 5,110.54 | 5,061.44 | 4.31 | 408.17 | 195.03 | 4,648.94 | 0.02 | 0.00 | 36.50 | 39.90 | 10,540,301 | 13,847,195 | 69,064,648 | 354,121.39 | 1.918E-18, 8.825E+06 | 1.823E-19, 2.919E+07 | 9.620E-19, 2.269E+06 |
TIMES-DK-Instance | OPTIMAL | 149.00 | 147.62 | 1.97 | 15.48 | 8.00 | 130.16 | 0.02 | 0.00 | 2.63 | 4.00 | 867,042 | 1,031,037 | 4,740,351 | 592,543.88 | 3.577E-08, 7.453E+04 | 4.606E-05, 4.500E+04 | 1.909E-09, 4.282E+06 |
UK-TIMES | OPTIMAL | 100.14 | 97.83 | 0.88 | 18.49 | 10.94 | 78.47 | 0.00 | 0.00 | 3.01 | 3.27 | 875,780 | 932,609 | 6,883,510 | 629,378.26 | 4.659E-05, 6.697E+05 | 6.000E-04, 5.867E+05 | 2.793E-11, 3.746E+05 |
SolveLink=0
Instance | Model Status | Elapsed Time [s] | Total Seconds [s] | Compilation Time [s] | Execution Time [s] | Generation Time [s] | Solver Time [s] | Startup Time [s] | Closedown Time [s] | Highwater RSS [GB] | Highwater VSS [GB] | # Rows | # Columns | # Non Zeros | # Non Zeros per s | RHS [min, max] | Bound [min, max] | Matrix [min, max] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | FEASIBLE SOLUTION | 75.01 | 39.84 | 1.58 | 36.23 | 13.33 | 28.69 | 1.20 | 0.83 | 1.51 | 1.73 | 624,436 | 863,666 | 4,650,991 | 348,937.73 | 9.222E-05, 3.258E+06 | 7.001E-06, 6.612E+07 | 6.977E-09, 2.535E+06 |
BAU_IND_V2 | OPTIMAL | 7,674.73 | 148.41 | 3.20 | 141.19 | 114.64 | 7,500.16 | 2.23 | 1.78 | 18.69 | 22.10 | 6,750,106 | 6,399,364 | 40,479,629 | 353,099.06 | 1.566E-14, 2.285E+05 | 3.516E-09, 5.000E+04 | 1.623E-07, 3.352E+06 |
BEAM-ME_Instances/672_11_8 | OPTIMAL | 12,900.51 | 292.37 | 0.70 | 284.89 | 250.64 | 12,542.28 | 3.20 | 3.58 | 52.90 | 59.40 | 21,108,711 | 15,111,159 | 124,095,043 | 495,112.68 | 4.097E-06, 5.940E+05 | 2.680E-02, 2.676E+05 | 1.882E-04, 1.663E+04 |
BEAM-ME_Instances/672_22_8 | INTERMEDIATE INFEASIBLE | 43,875.57 | 503.06 | 0.98 | 488.11 | 444.16 | 43,231.28 | 7.36 | 6.61 | 114.46 | 144.84 | 37,645,140 | 27,331,345 | 218,532,379 | 492,017.17 | 1.405E-06, 5.940E+05 | 8.298E-03, 2.676E+05 | 2.675E-04, 1.663E+04 |
E4SMA | FEASIBLE SOLUTION | 1,380.10 | 119.56 | 1.34 | 114.77 | 56.45 | 1,232.34 | 1.94 | 1.51 | 14.07 | 16.09 | 4,229,763 | 4,437,740 | 32,382,036 | 573,610.54 | 7.402E-16, 4.407E+06 | 9.557E-06, 1.000E+09 | 1.258E-09, 1.610E+06 |
GAZNAT_V1_Instance | FEASIBLE SOLUTION | 15,308.41 | 124.12 | 3.59 | 117.25 | 94.38 | 15,160.20 | 1.86 | 1.42 | 15.87 | 17.32 | 5,336,684 | 4,555,729 | 34,188,921 | 362,266.71 | 1.566E-14, 2.291E+05 | 3.516E-09, 3.000E+06 | 1.623E-07, 3.352E+06 |
POLIZERO_V1_Instance | FEASIBLE SOLUTION | 2,862.76 | 214.38 | 5.42 | 201.52 | 116.00 | 2,613.12 | 4.28 | 3.16 | 16.01 | 18.03 | 5,640,942 | 6,991,820 | 48,190,465 | 415,435.04 | 7.918E-19, 5.440E+05 | 3.837E-19, 1.000E+07 | 7.309E-08, 4.178E+06 |
POLIZERO_V2_Instance | FEASIBLE SOLUTION | 5,083.34 | 368.69 | 4.33 | 353.80 | 192.03 | 4,642.94 | 5.91 | 4.66 | 25.82 | 29.62 | 10,540,301 | 13,847,195 | 69,064,648 | 359,653.64 | 1.918E-18, 8.825E+06 | 1.823E-19, 2.919E+07 | 9.620E-19, 2.269E+06 |
TIMES-DK-Instance | OPTIMAL | 148.18 | 15.77 | 1.95 | 13.27 | 7.94 | 129.56 | 0.31 | 0.23 | 2.03 | 3.40 | 867,042 | 1,031,037 | 4,740,351 | 597,247.20 | 3.577E-08, 7.453E+04 | 4.606E-05, 4.500E+04 | 1.909E-09, 4.282E+06 |
UK-TIMES | OPTIMAL | 99.78 | 17.13 | 0.50 | 16.02 | 10.94 | 78.30 | 0.33 | 0.28 | 2.22 | 2.48 | 875,780 | 932,609 | 6,883,510 | 629,378.26 | 4.659E-05, 6.697E+05 | 6.000E-04, 5.867E+05 | 2.793E-11, 3.746E+05 |
SolveLink=2
Instance | Model Status | Elapsed Time [s] | Total Seconds [s] | Compilation Time [s] | Execution Time [s] | Generation Time [s] | Solver Time [s] | Startup Time [s] | Closedown Time [s] | Highwater RSS [GB] | Highwater VSS [GB] | # Rows | # Columns | # Non Zeros | # Non Zeros per s | RHS [min, max] | Bound [min, max] | Matrix [min, max] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | FEASIBLE SOLUTION | 75.11 | 70.16 | 1.75 | 40.36 | 13.39 | 28.03 | 0.02 | 0.00 | 2.85 | 3.20 | 624,436 | 863,666 | 4,650,991 | 347,322.16 | 9.222E-05, 3.258E+06 | 7.001E-06, 6.612E+07 | 6.977E-09, 2.535E+06 |
BAU_IND_V2 | OPTIMAL | 7,753.52 | 7,740.36 | 2.52 | 166.44 | 113.83 | 7,571.39 | 0.02 | 0.00 | 22.81 | 26.23 | 6,750,106 | 6,399,364 | 40,479,629 | 355,621.02 | 1.566E-14, 2.285E+05 | 3.516E-09, 5.000E+04 | 1.623E-07, 3.352E+06 |
BEAM-ME_Instances/672_11_8 | OPTIMAL | 13,005.10 | 12,979.09 | 0.56 | 363.55 | 251.36 | 12,614.98 | 0.00 | 0.00 | 62.67 | 70.11 | 21,108,711 | 15,111,159 | 124,095,043 | 493,694.47 | 4.097E-06, 5.940E+05 | 2.680E-02, 2.676E+05 | 1.882E-04, 1.663E+04 |
BEAM-ME_Instances/672_22_8 | INTERMEDIATE INFEASIBLE | 43,946.87 | 43,891.17 | 0.97 | 653.31 | 432.31 | 43,236.88 | 0.01 | 0.00 | 112.88 | 163.87 | 37,645,140 | 27,331,345 | 218,532,379 | 505,495.74 | 1.405E-06, 5.940E+05 | 8.298E-03, 2.676E+05 | 2.675E-04, 1.663E+04 |
BEAM-ME_Instances/2016_22_8 | ERROR NO SOLUTION | 3,330.59 | 1,969.62 | 2.09 | 1,930.45 | 1,752.70 | 1,201.00 | 17.39 | 19.69 | 115.10 | 215.29 | 112,857,882 | 81,947,383 | 658,167,482 | 375,515.69 | 2.460E-07, 5.940E+05 | 8.298E-03, 2.676E+05 | 1.946E-06, 1.663E+04 |
E4SMA | FEASIBLE SOLUTION | 1,379.17 | 1,360.83 | 1.89 | 140.36 | 56.80 | 1,218.56 | 0.02 | 0.00 | 17.91 | 19.95 | 4,229,763 | 4,437,740 | 32,382,036 | 570,136.38 | 7.402E-16, 4.407E+06 | 9.557E-06, 1.000E+09 | 1.258E-09, 1.610E+06 |
GAZNAT_V1_Instance | FEASIBLE SOLUTION | 15,483.52 | 15,470.69 | 3.59 | 137.92 | 93.22 | 15,329.16 | 0.02 | 0.00 | 19.17 | 20.62 | 5,336,684 | 4,555,729 | 34,188,921 | 366,759.15 | 1.566E-14, 2.291E+05 | 3.516E-09, 3.000E+06 | 1.623E-07, 3.352E+06 |
POLIZERO_V1_Instance | FEASIBLE SOLUTION | 2,866.62 | 2,845.72 | 4.83 | 236.00 | 114.53 | 2,604.88 | 0.01 | 0.00 | 22.65 | 24.69 | 5,640,942 | 6,991,820 | 48,190,465 | 420,763.51 | 7.918E-19, 5.440E+05 | 3.837E-19, 1.000E+07 | 7.309E-08, 4.178E+06 |
POLIZERO_V2_Instance | FEASIBLE SOLUTION | 5,111.24 | 5,064.34 | 4.27 | 420.73 | 192.95 | 4,639.33 | 0.01 | 0.00 | 36.28 | 40.14 | 10,540,301 | 13,847,195 | 69,064,648 | 357,935.08 | 1.918E-18, 8.825E+06 | 1.823E-19, 2.919E+07 | 9.620E-19, 2.269E+06 |
TIMES-DK-Instance | OPTIMAL | 149.12 | 147.76 | 2.12 | 16.14 | 7.94 | 129.50 | 0.00 | 0.00 | 2.65 | 4.01 | 867,042 | 1,031,037 | 4,740,351 | 597,247.20 | 3.577E-08, 7.453E+04 | 4.606E-05, 4.500E+04 | 1.909E-09, 4.282E+06 |
UK-TIMES | OPTIMAL | 101.42 | 99.08 | 0.53 | 20.06 | 11.23 | 78.48 | 0.00 | 0.00 | 3.03 | 3.29 | 875,780 | 932,609 | 6,883,510 | 612,684.47 | 4.659E-05, 6.697E+05 | 6.000E-04, 5.867E+05 | 2.793E-11, 3.746E+05 |
While the following analysis does not focus on performance metrics, it is important to note that the following findings are memory-related. We include them for completeness, as memory management is crucial, particularly for handling large instances.
freegamsmodel
(boolean): preserves memory by dumping the GAMS model instance representation temporarily to disk
In order to provide the maximum amount of memory to the solver this option dumps the internal representation of the model instance temporarily to disk and frees memory. This option only works with SolveLink=0
and only for models without quadratic constraints.
Based on the results below, we obtain an additional reduction (on top of SolveLink=0
) on the Highwater memory footprint of ~15% by setting freegamsmodel 1
.
freegamsmodel 1
Instance | Elapsed Time [%] | Total Seconds [%] | Compilation Time [%] | Execution Time [%] | Generation Time [%] | Solver Time [%] | Startup Time [%] | Closedown Time [%] | Highwater RSS [%] | Highwater VSS [%] | # Rows [%] | # Columns [%] | # Non Zeros [%] | # Non Zeros per s [%] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | 0.02 | -2.35 | -26.68 | -1.34 | 0.59 | 3.65 | -0.08 | -3.74 | 0.66 | -12.72 | 0.00 | 0.00 | 0.00 | -0.58 |
BAU_IND_V2 | -3.43 | -1.96 | -19.51 | -1.64 | -1.88 | -3.45 | 4.16 | -3.48 | -20.39 | -17.24 | 0.00 | 0.00 | 0.00 | 1.92 |
BEAM-ME_Instances/672_11_8 | -1.64 | -2.07 | 77.81 | -2.34 | -2.29 | -1.60 | 5.37 | -3.49 | -20.45 | -18.69 | 0.00 | 0.00 | 0.00 | 2.35 |
BEAM-ME_Instances/672_22_8 | 0.01 | -3.08 | 3.15 | -3.44 | -3.53 | 0.10 | 22.72 | -5.90 | 3.07 | -1.26 | 0.00 | 0.00 | 0.00 | 3.66 |
E4SMA | -2.57 | -2.03 | 96.50 | -3.26 | -2.94 | -2.62 | 3.25 | -3.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 3.02 |
GAZNAT_V1_Instance | -4.15 | -3.59 | -31.73 | -2.80 | -2.96 | -4.15 | 0.91 | -3.31 | -19.03 | -17.90 | 0.00 | 0.00 | 0.00 | 3.05 |
POLIZERO_V1_Instance | -1.27 | -3.86 | -38.03 | -3.03 | -2.96 | -1.04 | -0.37 | -2.98 | -24.98 | -22.80 | 0.00 | 0.00 | 0.00 | 3.05 |
POLIZERO_V2_Instance | -3.71 | -2.78 | -32.14 | -2.54 | -2.62 | -3.77 | 1.61 | 0.64 | -25.95 | -23.02 | 0.00 | 0.00 | 0.00 | 2.69 |
TIMES-DK-Instance | 2.60 | 1.88 | 32.00 | -2.47 | -2.36 | 2.85 | 5.13 | -6.81 | -24.63 | -15.29 | 0.00 | 0.00 | 0.00 | 2.41 |
UK-TIMES | -0.81 | -0.10 | 65.60 | -2.25 | -1.85 | -0.88 | 4.88 | -0.35 | 0.90 | 1.61 | 0.00 | 0.00 | 0.00 | 1.88 |
mean | -1.50 | -1.99 | 12.70 | -2.51 | -2.28 | -1.09 | 4.76 | -3.25 | -13.08 | -12.73 | 0.00 | 0.00 | 0.00 | 2.34 |
SL=0
& freegamsmodel
Instance | Model Status | Elapsed Time [s] | Total Seconds [s] | Compilation Time [s] | Execution Time [s] | Generation Time [s] | Solver Time [s] | Startup Time [s] | Closedown Time [s] | Highwater RSS [GB] | Highwater VSS [GB] | # Rows | # Columns | # Non Zeros | # Non Zeros per s | RHS [min, max] | Bound [min, max] | Matrix [min, max] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | FEASIBLE SOLUTION | 75.03 | 38.91 | 1.16 | 35.75 | 13.41 | 29.73 | 1.20 | 0.80 | 1.52 | 1.51 | 624,436 | 863,666 | 4,650,991 | 346,907.66 | 9.222E-05, 3.258E+06 | 7.001E-06, 6.612E+07 | 6.977E-09, 2.535E+06 |
BAU_IND_V2 | OPTIMAL | 7,411.48 | 145.50 | 2.58 | 138.88 | 112.48 | 7,241.16 | 2.33 | 1.72 | 14.88 | 18.29 | 6,750,106 | 6,399,364 | 40,479,629 | 359,870.11 | 1.566E-14, 2.285E+05 | 3.516E-09, 5.000E+04 | 1.623E-07, 3.352E+06 |
BEAM-ME_Instances/672_11_8 | OPTIMAL | 12,688.61 | 286.31 | 1.25 | 278.23 | 244.89 | 12,341.19 | 3.38 | 3.45 | 42.08 | 48.30 | 21,108,711 | 15,111,159 | 124,095,043 | 506,735.83 | 4.097E-06, 5.940E+05 | 2.680E-02, 2.676E+05 | 1.882E-04, 1.663E+04 |
BEAM-ME_Instances/672_22_8 | INTERMEDIATE INFEASIBLE | 43,880.30 | 487.56 | 1.02 | 471.30 | 428.49 | 43,273.92 | 9.03 | 6.22 | 117.97 | 143.02 | 37,645,140 | 27,331,345 | 218,532,379 | 510,011.74 | 1.405E-06, 5.940E+05 | 8.298E-03, 2.676E+05 | 2.675E-04, 1.663E+04 |
E4SMA | FEASIBLE SOLUTION | 1,344.68 | 117.14 | 2.64 | 111.03 | 54.80 | 1,200.06 | 2.00 | 1.47 | 14.07 | 16.09 | 4,229,763 | 4,437,740 | 32,382,036 | 590,956.20 | 7.402E-16, 4.407E+06 | 9.557E-06, 1.000E+09 | 1.258E-09, 1.610E+06 |
GAZNAT_V1_Instance | FEASIBLE SOLUTION | 14,673.24 | 119.67 | 2.45 | 113.97 | 91.58 | 14,531.33 | 1.88 | 1.38 | 12.85 | 14.22 | 5,336,684 | 4,555,729 | 34,188,921 | 373,331.16 | 1.566E-14, 2.291E+05 | 3.516E-09, 3.000E+06 | 1.623E-07, 3.352E+06 |
POLIZERO_V1_Instance | FEASIBLE SOLUTION | 2,826.45 | 206.09 | 3.36 | 195.41 | 112.56 | 2,585.84 | 4.26 | 3.06 | 12.01 | 13.92 | 5,640,942 | 6,991,820 | 48,190,465 | 428,119.94 | 7.918E-19, 5.440E+05 | 3.837E-19, 1.000E+07 | 7.309E-08, 4.178E+06 |
POLIZERO_V2_Instance | FEASIBLE SOLUTION | 4,894.56 | 358.42 | 2.94 | 344.80 | 187.00 | 4,467.78 | 6.00 | 4.69 | 19.12 | 22.80 | 10,540,301 | 13,847,195 | 69,064,648 | 369,329.67 | 1.918E-18, 8.825E+06 | 1.823E-19, 2.919E+07 | 9.620E-19, 2.269E+06 |
TIMES-DK-Instance | OPTIMAL | 152.04 | 16.06 | 2.58 | 12.94 | 7.75 | 133.25 | 0.33 | 0.22 | 1.53 | 2.88 | 867,042 | 1,031,037 | 4,740,351 | 611,658.19 | 3.577E-08, 7.453E+04 | 4.606E-05, 4.500E+04 | 1.909E-09, 4.282E+06 |
UK-TIMES | OPTIMAL | 98.97 | 17.11 | 0.83 | 15.66 | 10.73 | 77.61 | 0.34 | 0.28 | 2.24 | 2.52 | 875,780 | 932,609 | 6,883,510 | 641,221.24 | 4.659E-05, 6.697E+05 | 6.000E-04, 5.867E+05 | 2.793E-11, 3.746E+05 |
SL=0
Instance | Model Status | Elapsed Time [s] | Total Seconds [s] | Compilation Time [s] | Execution Time [s] | Generation Time [s] | Solver Time [s] | Startup Time [s] | Closedown Time [s] | Highwater RSS [GB] | Highwater VSS [GB] | # Rows | # Columns | # Non Zeros | # Non Zeros per s | RHS [min, max] | Bound [min, max] | Matrix [min, max] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | FEASIBLE SOLUTION | 75.01 | 39.84 | 1.58 | 36.23 | 13.33 | 28.69 | 1.20 | 0.83 | 1.51 | 1.73 | 624,436 | 863,666 | 4,650,991 | 348,937.73 | 9.222E-05, 3.258E+06 | 7.001E-06, 6.612E+07 | 6.977E-09, 2.535E+06 |
BAU_IND_V2 | OPTIMAL | 7,674.73 | 148.41 | 3.20 | 141.19 | 114.64 | 7,500.16 | 2.23 | 1.78 | 18.69 | 22.10 | 6,750,106 | 6,399,364 | 40,479,629 | 353,099.06 | 1.566E-14, 2.285E+05 | 3.516E-09, 5.000E+04 | 1.623E-07, 3.352E+06 |
BEAM-ME_Instances/672_11_8 | OPTIMAL | 12,900.51 | 292.37 | 0.70 | 284.89 | 250.64 | 12,542.28 | 3.20 | 3.58 | 52.90 | 59.40 | 21,108,711 | 15,111,159 | 124,095,043 | 495,112.68 | 4.097E-06, 5.940E+05 | 2.680E-02, 2.676E+05 | 1.882E-04, 1.663E+04 |
BEAM-ME_Instances/672_22_8 | INTERMEDIATE INFEASIBLE | 43,875.57 | 503.06 | 0.98 | 488.11 | 444.16 | 43,231.28 | 7.36 | 6.61 | 114.46 | 144.84 | 37,645,140 | 27,331,345 | 218,532,379 | 492,017.17 | 1.405E-06, 5.940E+05 | 8.298E-03, 2.676E+05 | 2.675E-04, 1.663E+04 |
E4SMA | FEASIBLE SOLUTION | 1,380.10 | 119.56 | 1.34 | 114.77 | 56.45 | 1,232.34 | 1.94 | 1.51 | 14.07 | 16.09 | 4,229,763 | 4,437,740 | 32,382,036 | 573,610.54 | 7.402E-16, 4.407E+06 | 9.557E-06, 1.000E+09 | 1.258E-09, 1.610E+06 |
GAZNAT_V1_Instance | FEASIBLE SOLUTION | 15,308.41 | 124.12 | 3.59 | 117.25 | 94.38 | 15,160.20 | 1.86 | 1.42 | 15.87 | 17.32 | 5,336,684 | 4,555,729 | 34,188,921 | 362,266.71 | 1.566E-14, 2.291E+05 | 3.516E-09, 3.000E+06 | 1.623E-07, 3.352E+06 |
POLIZERO_V1_Instance | FEASIBLE SOLUTION | 2,862.76 | 214.38 | 5.42 | 201.52 | 116.00 | 2,613.12 | 4.28 | 3.16 | 16.01 | 18.03 | 5,640,942 | 6,991,820 | 48,190,465 | 415,435.04 | 7.918E-19, 5.440E+05 | 3.837E-19, 1.000E+07 | 7.309E-08, 4.178E+06 |
POLIZERO_V2_Instance | FEASIBLE SOLUTION | 5,083.34 | 368.69 | 4.33 | 353.80 | 192.03 | 4,642.94 | 5.91 | 4.66 | 25.82 | 29.62 | 10,540,301 | 13,847,195 | 69,064,648 | 359,653.64 | 1.918E-18, 8.825E+06 | 1.823E-19, 2.919E+07 | 9.620E-19, 2.269E+06 |
TIMES-DK-Instance | OPTIMAL | 148.18 | 15.77 | 1.95 | 13.27 | 7.94 | 129.56 | 0.31 | 0.23 | 2.03 | 3.40 | 867,042 | 1,031,037 | 4,740,351 | 597,247.20 | 3.577E-08, 7.453E+04 | 4.606E-05, 4.500E+04 | 1.909E-09, 4.282E+06 |
UK-TIMES | OPTIMAL | 99.78 | 17.13 | 0.50 | 16.02 | 10.94 | 78.30 | 0.33 | 0.28 | 2.22 | 2.48 | 875,780 | 932,609 | 6,883,510 | 629,378.26 | 4.659E-05, 6.697E+05 | 6.000E-04, 5.867E+05 | 2.793E-11, 3.746E+05 |
While the following analysis does not focus on performance metrics, it is important to note that the following findings are memory-related. We include them for completeness, as memory management is crucial, particularly for handling large instances.
By default, GAMS passes variable and equation names to CPLEX. Turning the CPLEX option names
off results in a slight reduction of the overall memory footprint.
Based on the results we gain a small reduction by about 3% in memory use by using names no
.
names no
Instance | Elapsed Time [%] | Total Seconds [%] | Compilation Time [%] | Execution Time [%] | Generation Time [%] | Solver Time [%] | Startup Time [%] | Closedown Time [%] | Highwater RSS [%] | Highwater VSS [%] | # Rows [%] | # Columns [%] | # Non Zeros [%] | # Non Zeros per s [%] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | -4.06 | -4.32 | -33.94 | -5.19 | -2.80 | -1.22 | 0.00 | nan | -4.91 | -4.38 | 0.00 | 0.00 | 0.00 | 2.88 |
BAU_IND_V2 | -2.52 | -2.52 | 0.04 | -4.01 | -1.43 | -2.49 | -6.25 | nan | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.45 |
BEAM-ME_Instances/672_11_8 | 0.61 | 0.60 | 2.85 | -6.86 | -1.97 | 0.82 | nan | nan | 1.39 | 0.00 | 0.00 | 0.00 | 0.00 | 2.01 |
BEAM-ME_Instances/672_22_8 | -0.12 | -0.12 | 51.60 | -8.34 | 0.23 | 0.00 | 6.67 | nan | 5.33 | -0.03 | 0.00 | 0.00 | 0.00 | -0.23 |
E4SMA | -1.64 | -1.64 | -29.77 | -8.99 | -3.74 | -0.75 | 0.00 | nan | -5.53 | -5.01 | 0.00 | 0.00 | 0.00 | 3.89 |
GAZNAT_V1_Instance | -3.04 | -3.04 | -30.86 | -4.40 | -1.22 | -3.02 | -6.25 | nan | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.24 |
POLIZERO_V1_Instance | -3.01 | -3.03 | 1.62 | -5.91 | -1.34 | -2.78 | 0.00 | nan | -6.31 | -5.79 | 0.00 | 0.00 | 0.00 | 1.35 |
POLIZERO_V2_Instance | -3.69 | -3.72 | -3.31 | -6.35 | -0.70 | -3.48 | 6.67 | nan | -7.39 | -6.73 | 0.00 | 0.00 | 0.00 | 0.70 |
TIMES-DK-Instance | 0.46 | 0.49 | -11.01 | -7.65 | -1.17 | 1.68 | inf | nan | -7.17 | -4.74 | 0.00 | 0.00 | 0.00 | 1.19 |
UK-TIMES | 1.97 | 2.07 | 158.95 | -8.80 | -2.23 | 3.74 | inf | nan | -6.60 | -6.08 | 0.00 | 0.00 | 0.00 | 2.28 |
mean | -1.50 | -1.52 | 10.62 | -6.65 | -1.64 | -0.75 | inf | nan | -3.12 | -3.28 | 0.00 | 0.00 | 0.00 | 1.68 |
names no
Instance | Model Status | Elapsed Time [s] | Total Seconds [s] | Compilation Time [s] | Execution Time [s] | Generation Time [s] | Solver Time [s] | Startup Time [s] | Closedown Time [s] | Highwater RSS [GB] | Highwater VSS [GB] | # Rows | # Columns | # Non Zeros | # Non Zeros per s | RHS [min, max] | Bound [min, max] | Matrix [min, max] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | FEASIBLE SOLUTION | 72.06 | 67.12 | 1.16 | 38.27 | 13.02 | 27.69 | 0.02 | 0.00 | 2.71 | 3.06 | 624,436 | 863,666 | 4,650,991 | 357,328.75 | 9.222E-05, 3.258E+06 | 7.001E-06, 6.612E+07 | 6.977E-09, 2.535E+06 |
BAU_IND_V2 | OPTIMAL | 7,558.44 | 7,545.12 | 2.52 | 159.77 | 112.20 | 7,382.83 | 0.01 | 0.00 | 22.81 | 26.23 | 6,750,106 | 6,399,364 | 40,479,629 | 360,768.15 | 1.566E-14, 2.285E+05 | 3.516E-09, 5.000E+04 | 1.623E-07, 3.352E+06 |
BEAM-ME_Instances/672_11_8 | OPTIMAL | 13,084.65 | 13,057.45 | 0.58 | 338.59 | 246.41 | 12,718.28 | 0.00 | 0.00 | 63.54 | 70.11 | 21,108,711 | 15,111,159 | 124,095,043 | 503,620.22 | 4.097E-06, 5.940E+05 | 2.680E-02, 2.676E+05 | 1.882E-04, 1.663E+04 |
BEAM-ME_Instances/672_22_8 | INTERMEDIATE INFEASIBLE | 43,894.04 | 43,837.84 | 1.47 | 598.86 | 433.31 | 43,237.50 | 0.02 | 0.00 | 118.90 | 163.82 | 37,645,140 | 27,331,345 | 218,532,379 | 504,329.15 | 1.405E-06, 5.940E+05 | 8.298E-03, 2.676E+05 | 2.675E-04, 1.663E+04 |
E4SMA | FEASIBLE SOLUTION | 1,356.61 | 1,338.56 | 1.33 | 127.74 | 54.67 | 1,209.48 | 0.02 | 0.00 | 16.92 | 18.95 | 4,229,763 | 4,437,740 | 32,382,036 | 592,296.53 | 7.402E-16, 4.407E+06 | 9.557E-06, 1.000E+09 | 1.258E-09, 1.610E+06 |
GAZNAT_V1_Instance | FEASIBLE SOLUTION | 15,013.56 | 15,000.98 | 2.48 | 131.86 | 92.08 | 14,866.62 | 0.01 | 0.00 | 19.17 | 20.62 | 5,336,684 | 4,555,729 | 34,188,921 | 371,303.91 | 1.566E-14, 2.291E+05 | 3.516E-09, 3.000E+06 | 1.623E-07, 3.352E+06 |
POLIZERO_V1_Instance | FEASIBLE SOLUTION | 2,780.23 | 2,759.53 | 4.91 | 222.06 | 113.00 | 2,532.55 | 0.01 | 0.00 | 21.22 | 23.26 | 5,640,942 | 6,991,820 | 48,190,465 | 426,464.29 | 7.918E-19, 5.440E+05 | 3.837E-19, 1.000E+07 | 7.309E-08, 4.178E+06 |
POLIZERO_V2_Instance | FEASIBLE SOLUTION | 4,922.68 | 4,876.00 | 4.12 | 394.03 | 191.61 | 4,477.83 | 0.02 | 0.00 | 33.60 | 37.44 | 10,540,301 | 13,847,195 | 69,064,648 | 360,445.74 | 1.918E-18, 8.825E+06 | 1.823E-19, 2.919E+07 | 9.620E-19, 2.269E+06 |
TIMES-DK-Instance | OPTIMAL | 149.80 | 148.48 | 1.89 | 14.91 | 7.84 | 131.67 | 0.01 | 0.00 | 2.46 | 3.82 | 867,042 | 1,031,037 | 4,740,351 | 604,328.28 | 3.577E-08, 7.453E+04 | 4.606E-05, 4.500E+04 | 1.909E-09, 4.282E+06 |
UK-TIMES | OPTIMAL | 103.42 | 101.12 | 1.38 | 18.30 | 10.98 | 81.42 | 0.03 | 0.00 | 2.83 | 3.09 | 875,780 | 932,609 | 6,883,510 | 626,628.13 | 4.659E-05, 6.697E+05 | 6.000E-04, 5.867E+05 | 2.793E-11, 3.746E+05 |
Instance | Model Status | Elapsed Time [s] | Total Seconds [s] | Compilation Time [s] | Execution Time [s] | Generation Time [s] | Solver Time [s] | Startup Time [s] | Closedown Time [s] | Highwater RSS [GB] | Highwater VSS [GB] | # Rows | # Columns | # Non Zeros | # Non Zeros per s | RHS [min, max] | Bound [min, max] | Matrix [min, max] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | FEASIBLE SOLUTION | 75.11 | 70.16 | 1.75 | 40.36 | 13.39 | 28.03 | 0.02 | 0.00 | 2.85 | 3.20 | 624,436 | 863,666 | 4,650,991 | 347,322.16 | 9.222E-05, 3.258E+06 | 7.001E-06, 6.612E+07 | 6.977E-09, 2.535E+06 |
BAU_IND_V2 | OPTIMAL | 7,753.52 | 7,740.36 | 2.52 | 166.44 | 113.83 | 7,571.39 | 0.02 | 0.00 | 22.81 | 26.23 | 6,750,106 | 6,399,364 | 40,479,629 | 355,621.02 | 1.566E-14, 2.285E+05 | 3.516E-09, 5.000E+04 | 1.623E-07, 3.352E+06 |
BEAM-ME_Instances/672_11_8 | OPTIMAL | 13,005.10 | 12,979.09 | 0.56 | 363.55 | 251.36 | 12,614.98 | 0.00 | 0.00 | 62.67 | 70.11 | 21,108,711 | 15,111,159 | 124,095,043 | 493,694.47 | 4.097E-06, 5.940E+05 | 2.680E-02, 2.676E+05 | 1.882E-04, 1.663E+04 |
BEAM-ME_Instances/672_22_8 | INTERMEDIATE INFEASIBLE | 43,946.87 | 43,891.17 | 0.97 | 653.31 | 432.31 | 43,236.88 | 0.01 | 0.00 | 112.88 | 163.87 | 37,645,140 | 27,331,345 | 218,532,379 | 505,495.74 | 1.405E-06, 5.940E+05 | 8.298E-03, 2.676E+05 | 2.675E-04, 1.663E+04 |
BEAM-ME_Instances/2016_22_8 | ERROR NO SOLUTION | 3,330.59 | 1,969.62 | 2.09 | 1,930.45 | 1,752.70 | 1,201.00 | 17.39 | 19.69 | 115.10 | 215.29 | 112,857,882 | 81,947,383 | 658,167,482 | 375,515.69 | 2.460E-07, 5.940E+05 | 8.298E-03, 2.676E+05 | 1.946E-06, 1.663E+04 |
E4SMA | FEASIBLE SOLUTION | 1,379.17 | 1,360.83 | 1.89 | 140.36 | 56.80 | 1,218.56 | 0.02 | 0.00 | 17.91 | 19.95 | 4,229,763 | 4,437,740 | 32,382,036 | 570,136.38 | 7.402E-16, 4.407E+06 | 9.557E-06, 1.000E+09 | 1.258E-09, 1.610E+06 |
GAZNAT_V1_Instance | FEASIBLE SOLUTION | 15,483.52 | 15,470.69 | 3.59 | 137.92 | 93.22 | 15,329.16 | 0.02 | 0.00 | 19.17 | 20.62 | 5,336,684 | 4,555,729 | 34,188,921 | 366,759.15 | 1.566E-14, 2.291E+05 | 3.516E-09, 3.000E+06 | 1.623E-07, 3.352E+06 |
POLIZERO_V1_Instance | FEASIBLE SOLUTION | 2,866.62 | 2,845.72 | 4.83 | 236.00 | 114.53 | 2,604.88 | 0.01 | 0.00 | 22.65 | 24.69 | 5,640,942 | 6,991,820 | 48,190,465 | 420,763.51 | 7.918E-19, 5.440E+05 | 3.837E-19, 1.000E+07 | 7.309E-08, 4.178E+06 |
POLIZERO_V2_Instance | FEASIBLE SOLUTION | 5,111.24 | 5,064.34 | 4.27 | 420.73 | 192.95 | 4,639.33 | 0.01 | 0.00 | 36.28 | 40.14 | 10,540,301 | 13,847,195 | 69,064,648 | 357,935.08 | 1.918E-18, 8.825E+06 | 1.823E-19, 2.919E+07 | 9.620E-19, 2.269E+06 |
TIMES-DK-Instance | OPTIMAL | 149.12 | 147.76 | 2.12 | 16.14 | 7.94 | 129.50 | 0.00 | 0.00 | 2.65 | 4.01 | 867,042 | 1,031,037 | 4,740,351 | 597,247.20 | 3.577E-08, 7.453E+04 | 4.606E-05, 4.500E+04 | 1.909E-09, 4.282E+06 |
UK-TIMES | OPTIMAL | 101.42 | 99.08 | 0.53 | 20.06 | 11.23 | 78.48 | 0.00 | 0.00 | 3.03 | 3.29 | 875,780 | 932,609 | 6,883,510 | 612,684.47 | 4.659E-05, 6.697E+05 | 6.000E-04, 5.867E+05 | 2.793E-11, 3.746E+05 |
The following analysis does not document improvements achieved by us; rather, it compares enhancements made by Antti between versions 4.7.8 and 4.7.9.
Instance | Elapsed Time [%] | Total Seconds [%] | Compilation Time [%] | Execution Time [%] | Generation Time [%] | Solver Time [%] | Startup Time [%] | Closedown Time [%] | Highwater RSS [%] | Highwater VSS [%] | # Rows [%] | # Columns [%] | # Non Zeros [%] | # Non Zeros per s [%] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | -1.99 | -2.07 | -33.94 | -1.39 | -1.87 | -1.06 | 0.00 | nan | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.90 |
BAU_IND_V2 | -4.66 | -4.67 | 0.00 | -1.17 | -0.80 | -4.75 | 0.00 | nan | 0.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.80 |
BEAM-ME_Instances/672_11_8 | -2.35 | -2.36 | 22.42 | -5.08 | -2.67 | -2.28 | nan | nan | 0.70 | 0.01 | 0.00 | 0.00 | 0.00 | 2.75 |
BEAM-ME_Instances/672_22_8 | -0.05 | -0.06 | 6.40 | -3.45 | -0.08 | -0.01 | -100.00 | nan | 5.90 | -0.09 | 0.00 | 0.00 | 0.00 | 0.08 |
E4SMA | -0.20 | -0.18 | 18.19 | -3.07 | -3.88 | 0.13 | -6.25 | nan | 0.00 | -0.05 | 0.00 | 0.00 | 0.00 | 4.04 |
GAZNAT_V1_Instance | -5.13 | -5.14 | -13.49 | -0.87 | -1.01 | -5.17 | 0.00 | nan | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.02 |
Offshore | -35.48 | -35.90 | 27.73 | -56.46 | 0.58 | -18.49 | 93.75 | nan | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.58 |
POLIZERO_V1_Instance | -0.39 | -0.38 | -4.87 | -1.19 | -1.31 | -0.30 | 6.67 | nan | -0.04 | 0.00 | 0.00 | 0.00 | 0.00 | 1.33 |
POLIZERO_V2_Instance | -3.61 | -3.63 | -2.20 | -1.72 | -3.24 | -3.81 | 0.00 | nan | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 3.35 |
TIMES-DK-Instance | 2.39 | 2.42 | -4.42 | 0.01 | -1.78 | 2.84 | nan | nan | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.81 |
UK-TIMES | -1.31 | -1.31 | 64.78 | -2.18 | -2.37 | -1.53 | nan | nan | 0.00 | -0.30 | 0.00 | 0.00 | 0.00 | 2.43 |
mean | -4.80 | -4.84 | 7.33 | -6.96 | -1.68 | -3.13 | -0.73 | nan | 0.60 | -0.04 | 0.00 | 0.00 | 0.00 | 1.72 |
Instance | Model Status | Elapsed Time [s] | Total Seconds [s] | Compilation Time [s] | Execution Time [s] | Generation Time [s] | Solver Time [s] | Startup Time [s] | Closedown Time [s] | Highwater RSS [GB] | Highwater VSS [GB] | # Rows | # Columns | # Non Zeros | # Non Zeros per s | RHS [min, max] | Bound [min, max] | Matrix [min, max] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | FEASIBLE SOLUTION | 73.61 | 68.70 | 1.16 | 39.80 | 13.14 | 27.73 | 0.02 | 0.00 | 2.85 | 3.20 | 624,436 | 863,666 | 4,650,991 | 353,929.76 | 9.222E-05, 3.258E+06 | 7.001E-06, 6.612E+07 | 6.977E-09, 2.535E+06 |
BAU_IND_V2 | OPTIMAL | 7,391.95 | 7,378.95 | 2.52 | 164.48 | 112.92 | 7,211.94 | 0.02 | 0.00 | 22.82 | 26.23 | 6,750,106 | 6,399,364 | 40,479,629 | 358,477.42 | 1.566E-14, 2.285E+05 | 3.516E-09, 5.000E+04 | 1.623E-07, 3.352E+06 |
BEAM-ME_Instances/672_11_8 | OPTIMAL | 12,698.88 | 12,672.86 | 0.69 | 345.09 | 244.64 | 12,327.08 | 0.00 | 0.00 | 63.11 | 70.12 | 21,108,711 | 15,111,159 | 124,095,043 | 507,255.73 | 4.097E-06, 5.940E+05 | 2.680E-02, 2.676E+05 | 1.882E-04, 1.663E+04 |
BEAM-ME_Instances/672_22_8 | INTERMEDIATE INFEASIBLE | 43,923.21 | 43,865.22 | 1.03 | 630.75 | 431.98 | 43,233.44 | 0.00 | 0.00 | 119.54 | 163.72 | 37,645,140 | 27,331,345 | 218,532,379 | 505,880.72 | 1.405E-06, 5.940E+05 | 8.298E-03, 2.676E+05 | 2.675E-04, 1.663E+04 |
E4SMA | FEASIBLE SOLUTION | 1,376.43 | 1,358.42 | 2.23 | 136.05 | 54.59 | 1,220.12 | 0.01 | 0.00 | 17.91 | 19.94 | 4,229,763 | 4,437,740 | 32,382,036 | 593,142.76 | 7.402E-16, 4.407E+06 | 9.557E-06, 1.000E+09 | 1.258E-09, 1.610E+06 |
GAZNAT_V1_Instance | FEASIBLE SOLUTION | 14,688.61 | 14,676.02 | 3.11 | 136.72 | 92.28 | 14,536.17 | 0.02 | 0.00 | 19.17 | 20.62 | 5,336,684 | 4,555,729 | 34,188,921 | 370,487.11 | 1.566E-14, 2.291E+05 | 3.516E-09, 3.000E+06 | 1.623E-07, 3.352E+06 |
Offshore | FEASIBLE SOLUTION | 535.64 | 525.78 | 1.08 | 164.20 | 111.28 | 360.47 | 0.03 | 0.00 | 7.31 | 8.16 | 3,326,614 | 2,091,377 | 13,911,856 | 125,014.43 | 1.000E+00, 6.000E+03 | NA, NA | 2.546E-05, 2.735E+06 |
POLIZERO_V1_Instance | FEASIBLE SOLUTION | 2,855.53 | 2,834.97 | 4.59 | 233.19 | 113.03 | 2,597.17 | 0.02 | 0.00 | 22.64 | 24.69 | 5,640,942 | 6,991,820 | 48,190,465 | 426,347.33 | 7.918E-19, 5.440E+05 | 3.837E-19, 1.000E+07 | 7.309E-08, 4.178E+06 |
POLIZERO_V2_Instance | FEASIBLE SOLUTION | 4,926.91 | 4,880.33 | 4.17 | 413.52 | 186.70 | 4,462.62 | 0.01 | 0.00 | 36.28 | 40.14 | 10,540,301 | 13,847,195 | 69,064,648 | 369,917.18 | 1.918E-18, 8.825E+06 | 1.823E-19, 2.919E+07 | 9.620E-19, 2.269E+06 |
TIMES-DK-Instance | OPTIMAL | 152.68 | 151.34 | 2.03 | 16.14 | 7.80 | 133.17 | 0.00 | 0.00 | 2.65 | 4.01 | 867,042 | 1,031,037 | 4,740,351 | 608,049.13 | 3.577E-08, 7.453E+04 | 4.606E-05, 4.500E+04 | 1.909E-09, 4.282E+06 |
UK-TIMES | OPTIMAL | 100.09 | 97.78 | 0.88 | 19.62 | 10.97 | 77.28 | 0.00 | 0.00 | 3.03 | 3.28 | 875,780 | 932,609 | 6,883,510 | 627,542.16 | 4.659E-05, 6.697E+05 | 6.000E-04, 5.867E+05 | 2.793E-11, 3.746E+05 |
Instance | Model Status | Elapsed Time [s] | Total Seconds [s] | Compilation Time [s] | Execution Time [s] | Generation Time [s] | Solver Time [s] | Startup Time [s] | Closedown Time [s] | Highwater RSS [GB] | Highwater VSS [GB] | # Rows | # Columns | # Non Zeros | # Non Zeros per s | RHS [min, max] | Bound [min, max] | Matrix [min, max] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | FEASIBLE SOLUTION | 75.11 | 70.16 | 1.75 | 40.36 | 13.39 | 28.03 | 0.02 | 0.00 | 2.85 | 3.20 | 624,436 | 863,666 | 4,650,991 | 347,322.16 | 9.222E-05, 3.258E+06 | 7.001E-06, 6.612E+07 | 6.977E-09, 2.535E+06 |
BAU_IND_V2 | OPTIMAL | 7,753.52 | 7,740.36 | 2.52 | 166.44 | 113.83 | 7,571.39 | 0.02 | 0.00 | 22.81 | 26.23 | 6,750,106 | 6,399,364 | 40,479,629 | 355,621.02 | 1.566E-14, 2.285E+05 | 3.516E-09, 5.000E+04 | 1.623E-07, 3.352E+06 |
BEAM-ME_Instances/672_11_8 | OPTIMAL | 13,005.10 | 12,979.09 | 0.56 | 363.55 | 251.36 | 12,614.98 | 0.00 | 0.00 | 62.67 | 70.11 | 21,108,711 | 15,111,159 | 124,095,043 | 493,694.47 | 4.097E-06, 5.940E+05 | 2.680E-02, 2.676E+05 | 1.882E-04, 1.663E+04 |
BEAM-ME_Instances/672_22_8 | INTERMEDIATE INFEASIBLE | 43,946.87 | 43,891.17 | 0.97 | 653.31 | 432.31 | 43,236.88 | 0.01 | 0.00 | 112.88 | 163.87 | 37,645,140 | 27,331,345 | 218,532,379 | 505,495.74 | 1.405E-06, 5.940E+05 | 8.298E-03, 2.676E+05 | 2.675E-04, 1.663E+04 |
BEAM-ME_Instances/2016_22_8 | ERROR NO SOLUTION | 3,330.59 | 1,969.62 | 2.09 | 1,930.45 | 1,752.70 | 1,201.00 | 17.39 | 19.69 | 115.10 | 215.29 | 112,857,882 | 81,947,383 | 658,167,482 | 375,515.69 | 2.460E-07, 5.940E+05 | 8.298E-03, 2.676E+05 | 1.946E-06, 1.663E+04 |
E4SMA | FEASIBLE SOLUTION | 1,379.17 | 1,360.83 | 1.89 | 140.36 | 56.80 | 1,218.56 | 0.02 | 0.00 | 17.91 | 19.95 | 4,229,763 | 4,437,740 | 32,382,036 | 570,136.38 | 7.402E-16, 4.407E+06 | 9.557E-06, 1.000E+09 | 1.258E-09, 1.610E+06 |
GAZNAT_V1_Instance | FEASIBLE SOLUTION | 15,483.52 | 15,470.69 | 3.59 | 137.92 | 93.22 | 15,329.16 | 0.02 | 0.00 | 19.17 | 20.62 | 5,336,684 | 4,555,729 | 34,188,921 | 366,759.15 | 1.566E-14, 2.291E+05 | 3.516E-09, 3.000E+06 | 1.623E-07, 3.352E+06 |
Offshore | FEASIBLE SOLUTION | 830.24 | 820.20 | 0.84 | 377.11 | 110.64 | 442.24 | 0.02 | 0.00 | 7.31 | 8.16 | 3,326,614 | 2,091,377 | 13,911,856 | 125,739.84 | 1.000E+00, 6.000E+03 | NA, NA | 2.546E-05, 2.735E+06 |
POLIZERO_V1_Instance | FEASIBLE SOLUTION | 2,866.62 | 2,845.72 | 4.83 | 236.00 | 114.53 | 2,604.88 | 0.01 | 0.00 | 22.65 | 24.69 | 5,640,942 | 6,991,820 | 48,190,465 | 420,763.51 | 7.918E-19, 5.440E+05 | 3.837E-19, 1.000E+07 | 7.309E-08, 4.178E+06 |
POLIZERO_V2_Instance | FEASIBLE SOLUTION | 5,111.24 | 5,064.34 | 4.27 | 420.73 | 192.95 | 4,639.33 | 0.01 | 0.00 | 36.28 | 40.14 | 10,540,301 | 13,847,195 | 69,064,648 | 357,935.08 | 1.918E-18, 8.825E+06 | 1.823E-19, 2.919E+07 | 9.620E-19, 2.269E+06 |
TIMES-DK-Instance | OPTIMAL | 149.12 | 147.76 | 2.12 | 16.14 | 7.94 | 129.50 | 0.00 | 0.00 | 2.65 | 4.01 | 867,042 | 1,031,037 | 4,740,351 | 597,247.20 | 3.577E-08, 7.453E+04 | 4.606E-05, 4.500E+04 | 1.909E-09, 4.282E+06 |
UK-TIMES | OPTIMAL | 101.42 | 99.08 | 0.53 | 20.06 | 11.23 | 78.48 | 0.00 | 0.00 | 3.03 | 3.29 | 875,780 | 932,609 | 6,883,510 | 612,684.47 | 4.659E-05, 6.697E+05 | 6.000E-04, 5.867E+05 | 2.793E-11, 3.746E+05 |
Thanks for adding the Offshore case. What I find interesting about it is the relatively poor performance of generating some of the model equations, e.g. EQE_ACTEFF and EQE_INSHR, which would thus deserve some additional investigation, if possible.
It is also interesting that for this case, like many others, you seem to get only a feasible solution (apparently run without crossover?), while in my test I am getting an optimal solution both with and without crossover in less time, but I guess it is probably related to different Cplex options...
What I find interesting about it is the relatively poor performance of generating some of the model equations, e.g. EQE_ACTEFF and EQE_INSHR, which would thus deserve some additional investigation, if possible.
It is interesting, indeed. While we find a model generation time of 111s to create 13,911,856 non zeros for the offshore instance, we are able to generate the E4SMA model instance in only 54s with 32,382,036 non zeros.
Model Generation 111.28s
MODEL STATISTICS
BLOCKS OF EQUATIONS 104 SINGLE EQUATIONS 3,326,614
BLOCKS OF VARIABLES 25 SINGLE VARIABLES 2,091,377
NON ZERO ELEMENTS 13,911,856
--- Profile Summary (225 records processed)
26.313 2.359GB 156650 Equation EQE_ACTEFF (285120)
25.828 2.294GB 145263 Equation EQE_INSHR (285120)
Model Generation 54.59s
MODEL STATISTICS
BLOCKS OF EQUATIONS 104 SINGLE EQUATIONS 4,229,763
BLOCKS OF VARIABLES 25 SINGLE VARIABLES 4,437,740 1,526 projected
NON ZERO ELEMENTS 32,382,036
--- Profile Summary (468 records processed)
3.188 3.983GB 774138 Equation EQE_ACTEFF (508014)
2.062 3.822GB 762751 Equation EQE_INSHR (401577)
Not only does GAMS generate more rows in less time for E4SMA
compared to Offshore
, isolating those equations also shows that the number of Non-zeroes in those equations is higher in the E4SMA
instance as well.
NZ counts:
equation | Offshore | E4SMA |
---|---|---|
EQE_ACTEFF | 855,361 | 1,998,294 |
EQE_INSHR | 570,241 | 2,110,919 |
So why does Offshore
perform so much slower?
By examining the set cardinalities of the instances, we can see that the offshore instance looks significantly different to the other instances. Especially |S| = 9013
is significantly larger while |C| = 8
and |P| = 15
are significantly smaller. In itself, this is not a very satisfactory answer why Offshore
is slower, but it at least explains why the behavior is significantly different.
IO COM_VAR BD TSL L TSLVL UC_GRPTYPE T R V ALLSOW ALLYEAR C COM COM2 ALL_TS SL S TS CG COM_GRP P UC_N ITEM
Instance
1p5C_OS_SSP2 2 2 3 4 4 4 10 11 16 37 96 438 668 668 668 10 10 10 10 1419 1419 3715 275 7164
BAU_IND_V2 2 2 3 4 4 4 9 6 1 72 96 277 760 760 760 305 305 305 305 1235 1235 1528 9152 13771
BEAM-ME_Instances/672_11_8 2 2 3 4 4 4 9 8 11 50 96 257 24 24 24 677 677 677 677 31 31 128 14 2396
BEAM-ME_Instances/672_22_8 2 2 3 4 4 4 9 8 22 48 96 257 24 24 24 677 677 677 677 31 31 150 14 2418
E4SMA 2 2 3 4 4 4 9 13 23 14 96 222 909 909 909 25 25 25 25 1564 1564 2007 96 5319
GAZNAT_V1_Instance 2 2 3 4 4 4 9 6 1 73 96 277 534 534 534 305 305 305 305 711 711 940 9208 12726
Offshore 2 2 3 4 4 4 9 11 3 12 96 222 8 8 8 9013 9013 9013 9013 17 17 15 2 10526
POLIZERO_V1_Instance 2 2 3 4 4 4 9 10 30 47 96 262 1142 1142 1142 17 17 17 17 2578 2578 2752 212 7167
POLIZERO_V2_Instance 2 2 3 4 4 4 9 10 30 50 96 262 748 748 748 17 17 17 17 2777 2777 3334 1368 9110
TIMES-DK-Instance 2 2 3 4 4 4 9 10 2 11 96 232 541 541 541 45 45 45 45 1284 1284 1645 221 4709
UK-TIMES 2 2 3 4 4 4 9 13 1 14 96 222 824 824 824 21 21 21 21 2056 2056 2169 464 6205
mean 2 2 3 4 4 4 9 10 13 39 96 266 562 562 562 1010 1010 1010 1010 1246 1246 1671 1911 7410
median 2 2 3 4 4 4 9 10 12 43 96 260 615 615 615 175 175 175 175 1265 1265 1658 248 7166
So far, we did not manage to make the generation faster.
I guess it is probably related to different Cplex options
Yes, the different outcome in terms of optimal vs. feasible solution is most likely due to different cplex options (could also be different hardware and/or different versions). All our experiments use the option file that we received with the instance data. However, for some of the instances (1p5C_OS_SSP2, BEAM-ME, E4SMA, Offshore, UK-TIMES) there is no option file. In this case our experiments are subject to ["lpmethod 4", "solutiontype 2", "threads 16", "reslim 43200"]
.
Pull request #4 contains several changes of the TIMES source code to improve the GAMS execution time focusing particularly on the model generation time. The suggested changes are benchmarked on various TIMES instances and results are presented in the following tables. We recommend a comprehensive review of the changes prior to their potential inclusion in the official TIMES repository.
Instance | Elapsed Time [%] | Total Seconds [%] | Compilation Time [%] | Execution Time [%] | Generation Time [%] | Solver Time [%] | Startup Time [%] | Closedown Time [%] | Highwater RSS [%] | Highwater VSS [%] | # Rows [%] | # Columns [%] | # Non Zeros [%] | # Non Zeros per s [%] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | 1.26 | 1.98 | -2.47 | -2.38 | -3.49 | 8.79 | -53.12 | nan | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 3.61 |
BAU_IND_V2 | -10.55 | -10.58 | -19.00 | -2.84 | -2.97 | -10.75 | -65.96 | nan | -0.04 | 0.00 | 0.00 | 0.00 | 0.00 | 3.06 |
BEAM-ME_Instances/672_11_8 | 8.71 | 8.72 | -10.02 | -13.07 | -18.09 | 9.33 | 6.67 | nan | 0.50 | 0.50 | 0.00 | 0.00 | 0.00 | 22.09 |
BEAM-ME_Instances/672_22_8 | -0.17 | -0.18 | 4.18 | -12.17 | -18.07 | -0.00 | 0.00 | nan | 0.74 | 0.00 | 0.00 | 0.00 | 0.00 | 22.05 |
E4SMA | 14.88 | 15.08 | -1.90 | -0.52 | -1.29 | 16.91 | 0.00 | nan | 0.06 | 0.05 | 0.00 | 0.00 | 0.00 | 1.31 |
GAZNAT_V1_Instance | -25.00 | -25.02 | -3.04 | -1.30 | -1.15 | -25.25 | -100.00 | nan | -0.16 | -0.10 | 0.00 | 0.00 | 0.00 | 1.17 |
Offshore | -4.98 | -5.12 | 0.00 | -20.46 | 0.37 | 0.81 | 6.67 | nan | -0.27 | 0.00 | 0.00 | 0.00 | 0.00 | -0.37 |
POLIZERO_V1_Instance | -0.46 | -0.47 | -0.69 | -1.27 | -0.85 | -0.40 | 0.00 | nan | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.86 |
POLIZERO_V2_Instance | -20.72 | -20.94 | -2.31 | -11.07 | -26.54 | -21.86 | -100.00 | nan | -0.50 | 0.07 | 0.00 | 0.00 | 0.00 | 36.14 |
TIMES-DK-Instance | -0.22 | -0.22 | -6.72 | -0.90 | -1.82 | -0.04 | 0.00 | nan | 0.38 | 0.00 | 0.00 | 0.00 | 0.00 | 1.85 |
UK-TIMES | -6.78 | -6.85 | 4.13 | -1.22 | -0.89 | -8.32 | nan | nan | -0.33 | -0.60 | 0.00 | 0.00 | 0.00 | 0.90 |
sum | -4.88 | -4.89 | -4.79 | -9.22 | -12.93 | -4.78 | -35.32 | nan | 0.31 | 0.09 | 0.00 | 0.00 | 0.00 | 8.51 |
Instance | Model Status | Elapsed Time [s] | Total Seconds [s] | Compilation Time [s] | Execution Time [s] | Generation Time [s] | Solver Time [s] | Startup Time [s] | Closedown Time [s] | Highwater RSS [GB] | Highwater VSS [GB] | # Rows | # Columns | # Non Zeros | # Non Zeros per s | RHS [min, max] | Bound [min, max] | Matrix [min, max] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | FEASIBLE SOLUTION | 76.47 | 71.56 | 2.48 | 39.08 | 12.56 | 29.98 | 0.01 | 0.00 | 2.84 | 3.20 | 624,436 | 863,666 | 4,650,991 | 370,242.88 | 9.222E-05, 3.258E+06 | 7.001E-06, 6.612E+07 | 6.977E-09, 2.535E+06 |
BAU_IND_V2 | OPTIMAL | 6,562.41 | 6,549.28 | 3.27 | 157.92 | 107.62 | 6,388.08 | 0.02 | 0.00 | 22.80 | 26.23 | 6,750,106 | 6,399,364 | 40,479,629 | 376,117.34 | 1.566E-14, 2.285E+05 | 3.516E-09, 5.000E+04 | 1.623E-07, 3.352E+06 |
BEAM-ME_Instances/672_11_8 | OPTIMAL | 13,631.71 | 13,603.17 | 0.84 | 296.02 | 196.53 | 13,306.30 | 0.02 | 0.00 | 63.88 | 70.46 | 21,108,711 | 15,111,159 | 124,095,043 | 631,427.32 | 4.097E-06, 5.940E+05 | 2.680E-02, 2.676E+05 | 1.882E-04, 1.663E+04 |
BEAM-ME_Instances/672_22_8 | INTERMEDIATE INFEASIBLE | 43,842.90 | 43,785.27 | 1.17 | 540.36 | 346.33 | 43,243.72 | 0.02 | 0.00 | 121.24 | 163.72 | 37,645,140 | 27,331,345 | 218,532,379 | 630,998.30 | 1.405E-06, 5.940E+05 | 8.298E-03, 2.676E+05 | 2.675E-04, 1.663E+04 |
E4SMA | FEASIBLE SOLUTION | 1,544.59 | 1,526.44 | 2.42 | 135.53 | 53.83 | 1,388.45 | 0.03 | 0.00 | 17.91 | 19.95 | 4,229,763 | 4,437,740 | 32,382,036 | 601,583.49 | 7.402E-16, 4.407E+06 | 9.557E-06, 1.000E+09 | 1.258E-09, 1.610E+06 |
GAZNAT_V1_Instance | FEASIBLE SOLUTION | 11,077.91 | 11,065.14 | 2.97 | 132.75 | 89.73 | 10,929.42 | 0.00 | 0.00 | 19.13 | 20.60 | 5,336,684 | 4,555,729 | 34,188,921 | 381,002.98 | 1.566E-14, 2.291E+05 | 3.516E-09, 3.000E+06 | 1.623E-07, 3.352E+06 |
Offshore | FEASIBLE SOLUTION | 560.28 | 550.20 | 0.42 | 128.51 | 109.84 | 421.25 | 0.02 | 0.00 | 7.31 | 8.16 | 3,326,614 | 2,091,377 | 13,911,856 | 126,651.03 | 1.000E+00, 6.000E+03 | NA, NA | 2.546E-05, 2.735E+06 |
POLIZERO_V1_Instance | FEASIBLE SOLUTION | 2,741.83 | 2,721.08 | 4.45 | 230.20 | 111.00 | 2,486.41 | 0.02 | 0.00 | 22.63 | 24.68 | 5,640,942 | 6,991,820 | 48,190,465 | 434,148.33 | 7.918E-19, 5.440E+05 | 3.837E-19, 1.000E+07 | 7.309E-08, 4.178E+06 |
POLIZERO_V2_Instance | FEASIBLE SOLUTION | 3,896.03 | 3,848.50 | 3.98 | 363.22 | 137.33 | 3,481.30 | 0.00 | 0.00 | 36.11 | 40.17 | 10,540,301 | 13,847,195 | 69,064,648 | 502,917.45 | 1.918E-18, 8.825E+06 | 1.823E-19, 2.919E+07 | 9.620E-19, 2.269E+06 |
TIMES-DK-Instance | OPTIMAL | 145.93 | 144.61 | 1.74 | 15.67 | 7.61 | 127.19 | 0.01 | 0.00 | 2.65 | 4.01 | 867,042 | 1,031,037 | 4,740,351 | 622,992.64 | 3.577E-08, 7.453E+04 | 4.606E-05, 4.500E+04 | 1.909E-09, 4.282E+06 |
UK-TIMES | OPTIMAL | 93.85 | 91.64 | 0.78 | 18.91 | 10.50 | 71.95 | 0.00 | 0.00 | 3.02 | 3.30 | 875,780 | 932,609 | 6,883,510 | 655,572.38 | 4.659E-05, 6.697E+05 | 6.000E-04, 5.867E+05 | 2.793E-11, 3.746E+05 |
sum | 84,173.91 | 83,956.89 | 24.53 | 2,058.17 | 1,182.89 | 81,874.05 | 0.14 | 0.00 | 319.52 | 384.48 | 96,945,519 | 83,593,041 | 597,119,829 | 5,333,654.14 |
Instance | Model Status | Elapsed Time [s] | Total Seconds [s] | Compilation Time [s] | Execution Time [s] | Generation Time [s] | Solver Time [s] | Startup Time [s] | Closedown Time [s] | Highwater RSS [GB] | Highwater VSS [GB] | # Rows | # Columns | # Non Zeros | # Non Zeros per s | RHS [min, max] | Bound [min, max] | Matrix [min, max] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | FEASIBLE SOLUTION | 75.51 | 70.17 | 2.55 | 40.03 | 13.02 | 27.56 | 0.03 | 0.00 | 2.84 | 3.20 | 624,436 | 863,666 | 4,650,991 | 357,328.75 | 9.222E-05, 3.258E+06 | 7.001E-06, 6.612E+07 | 6.977E-09, 2.535E+06 |
BAU_IND_V2 | OPTIMAL | 7,336.80 | 7,323.91 | 4.03 | 162.53 | 110.92 | 7,157.30 | 0.05 | 0.00 | 22.81 | 26.23 | 6,750,106 | 6,399,364 | 40,479,629 | 364,941.08 | 1.566E-14, 2.285E+05 | 3.516E-09, 5.000E+04 | 1.623E-07, 3.352E+06 |
BEAM-ME_Instances/672_11_8 | OPTIMAL | 12,539.04 | 12,512.01 | 0.94 | 340.53 | 239.94 | 12,170.53 | 0.01 | 0.00 | 63.56 | 70.11 | 21,108,711 | 15,111,159 | 124,095,043 | 517,196.29 | 4.097E-06, 5.940E+05 | 2.680E-02, 2.676E+05 | 1.882E-04, 1.663E+04 |
BEAM-ME_Instances/672_22_8 | INTERMEDIATE INFEASIBLE | 43,917.88 | 43,862.08 | 1.12 | 615.24 | 422.70 | 43,245.70 | 0.02 | 0.00 | 120.35 | 163.72 | 37,645,140 | 27,331,345 | 218,532,379 | 516,986.78 | 1.405E-06, 5.940E+05 | 8.298E-03, 2.676E+05 | 2.675E-04, 1.663E+04 |
E4SMA | FEASIBLE SOLUTION | 1,344.53 | 1,326.39 | 2.47 | 136.23 | 54.53 | 1,187.66 | 0.03 | 0.00 | 17.90 | 19.94 | 4,229,763 | 4,437,740 | 32,382,036 | 593,817.13 | 7.402E-16, 4.407E+06 | 9.557E-06, 1.000E+09 | 1.258E-09, 1.610E+06 |
GAZNAT_V1_Instance | FEASIBLE SOLUTION | 14,770.60 | 14,758.12 | 3.06 | 134.50 | 90.78 | 14,620.55 | 0.02 | 0.00 | 19.16 | 20.62 | 5,336,684 | 4,555,729 | 34,188,921 | 376,608.77 | 1.566E-14, 2.291E+05 | 3.516E-09, 3.000E+06 | 1.623E-07, 3.352E+06 |
Offshore | FEASIBLE SOLUTION | 589.66 | 579.88 | 0.42 | 161.56 | 109.44 | 417.88 | 0.01 | 0.00 | 7.33 | 8.16 | 3,326,614 | 2,091,377 | 13,911,856 | 127,122.05 | 1.000E+00, 6.000E+03 | NA, NA | 2.546E-05, 2.735E+06 |
POLIZERO_V1_Instance | FEASIBLE SOLUTION | 2,754.59 | 2,734.02 | 4.48 | 233.17 | 111.95 | 2,496.34 | 0.02 | 0.00 | 22.63 | 24.68 | 5,640,942 | 6,991,820 | 48,190,465 | 430,452.65 | 7.918E-19, 5.440E+05 | 3.837E-19, 1.000E+07 | 7.309E-08, 4.178E+06 |
POLIZERO_V2_Instance | FEASIBLE SOLUTION | 4,914.09 | 4,867.83 | 4.08 | 408.45 | 186.95 | 4,455.28 | 0.01 | 0.00 | 36.29 | 40.14 | 10,540,301 | 13,847,195 | 69,064,648 | 369,422.52 | 1.918E-18, 8.825E+06 | 1.823E-19, 2.919E+07 | 9.620E-19, 2.269E+06 |
TIMES-DK-Instance | OPTIMAL | 146.25 | 144.92 | 1.86 | 15.81 | 7.75 | 127.23 | 0.01 | 0.00 | 2.64 | 4.01 | 867,042 | 1,031,037 | 4,740,351 | 611,658.19 | 3.577E-08, 7.453E+04 | 4.606E-05, 4.500E+04 | 1.909E-09, 4.282E+06 |
UK-TIMES | OPTIMAL | 100.67 | 98.38 | 0.75 | 19.14 | 10.59 | 78.48 | 0.00 | 0.00 | 3.03 | 3.32 | 875,780 | 932,609 | 6,883,510 | 649,755.52 | 4.659E-05, 6.697E+05 | 6.000E-04, 5.867E+05 | 2.793E-11, 3.746E+05 |
sum | 88,489.64 | 88,277.70 | 25.77 | 2,267.21 | 1,358.58 | 85,984.52 | 0.22 | 0.00 | 318.54 | 384.13 | 96,945,519 | 83,593,041 | 597,119,829 | 4,915,289.73 |
The result table also shows a mild reduction of the average solver time. The different solver behavior can be attributed to row permutations stemming from index swaps in equation domains. Although such permutations can alter solver performance, predicting their impact — whether positive or negative — remains uncertain. We view these effects as random, anticipating no impact solver performance from row and column permutations on average.
Performance approvements were achieved mainly by switching indices and introducing new symbols for isolated precomputations.
There are some general rules of thumb which are, however, not always applicable. Best practice is to try to apply the following rules:
Many thanks for arriving at these suggested changes. I am sure we will adopt all of them, with small adaptations. Would it be possible to have some of the listing files from your test runs, to see the impact of some of the changes and maybe give some priorities? I would be especially interested about the POLIZERO_V2_Instance, because I think it may be a good representative case for many big TIMES models. Therefore, if you have the listing file from this case, preferably before and after the changes, I would be grateful if you can provide them to me (e.g. by email).
Pull request #6 contains another improvement we came across which improves:
Description | Total Time [s] |
---|---|
Equation EQ_ACTRAMP | 70.69 |
Equation EQ_ACTRAMP new | 60.41 |
Equation EQE_ACTUPS | 12.44 |
Equation EQE_ACTUPS new | 12.14 |
Equation EQ_ACTPL | 11.20 |
Equation EQ_ACTPL new | 9.98 |
Equation EQL_STGCCL | 0.11 |
Equation EQL_STGCCL new | 0.11 |
Assignment selectK | 1.70 |
Note that the following computation times skip the solve statement.
Instance | Elapsed Time [%] | Total Seconds [%] | Compilation Time [%] | Execution Time [%] | Generation Time [%] | Solver Time [%] | Startup Time [%] | Closedown Time [%] | Highwater RSS [%] | Highwater VSS [%] | # Rows [%] | # Columns [%] | # Non Zeros [%] | # Non Zeros per s [%] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | 2.39 | 2.76 | 23.21 | 1.92 | 0.11 | nan | 0.00 | nan | -0.64 | -0.64 | 0.00 | 0.00 | 0.00 | -0.11 |
BAU_IND_V2 | -2.56 | -2.76 | -3.80 | -2.74 | -3.42 | nan | 0.00 | nan | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 3.54 |
BEAM-ME_Instances/672_11_8 | -2.83 | -3.09 | -9.99 | -3.07 | -3.38 | nan | -6.25 | nan | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 3.49 |
BEAM-ME_Instances/672_22_8 | -2.54 | -2.81 | -10.26 | -2.80 | -3.01 | nan | inf | nan | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 3.11 |
E4SMA | -1.09 | -1.21 | -9.50 | -1.06 | -1.67 | nan | -100.00 | nan | 0.17 | 0.00 | 0.00 | 0.00 | 0.00 | 1.70 |
GAZNAT_V1_Instance | -2.82 | -3.05 | -6.73 | -2.96 | -3.02 | nan | 0.00 | nan | 0.27 | 0.27 | 0.00 | 0.00 | 0.00 | 3.12 |
Offshore | -1.02 | -1.06 | 0.00 | -1.06 | -0.96 | nan | 0.00 | nan | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.97 |
POLIZERO_V1_Instance | -0.94 | -1.04 | 32.56 | -1.58 | -1.85 | nan | inf | nan | -0.26 | -0.39 | 0.00 | 0.00 | 0.00 | 1.88 |
POLIZERO_V2_Instance | -0.47 | -0.52 | 29.24 | -0.77 | -0.92 | nan | 6.67 | nan | 0.15 | 0.15 | 0.00 | 0.00 | 0.00 | 0.93 |
TIMES-DK-Instance | 1.06 | 1.03 | 4.46 | 0.58 | 0.21 | nan | 0.00 | nan | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.21 |
UK-TIMES | 0.75 | 0.83 | 67.77 | -1.15 | -0.87 | nan | 0.00 | nan | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.88 |
mean | -0.92 | -0.99 | 10.63 | -1.34 | -1.71 | nan | inf | nan | -0.03 | -0.06 | 0.00 | 0.00 | 0.00 | 1.75 |
Instance | Model Status | Elapsed Time [s] | Total Seconds [s] | Compilation Time [s] | Execution Time [s] | Generation Time [s] | Solver Time [s] | Startup Time [s] | Closedown Time [s] | Highwater RSS [GB] | Highwater VSS [GB] | # Rows | # Columns | # Non Zeros | # Non Zeros per s | RHS [min, max] | Bound [min, max] | Matrix [min, max] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | NO SOLUTION RETURNED | 45.18 | 40.16 | 1.91 | 38.23 | 13.27 | nan | 0.02 | 0.00 | 1.55 | 1.55 | 624,436 | 863,666 | 4,650,991 | 350,621.26 | 9.222E-05, 3.258E+06 | 7.001E-06, 6.612E+07 | 6.977E-09, 2.535E+06 |
BAU_IND_V2 | NO SOLUTION RETURNED | 157.14 | 144.74 | 3.14 | 141.58 | 111.17 | nan | 0.02 | 0.00 | 4.56 | 4.56 | 6,750,106 | 6,399,364 | 40,479,629 | 364,117.12 | 1.566E-14, 2.285E+05 | 3.516E-09, 5.000E+04 | 1.623E-07, 3.352E+06 |
BEAM-ME_Instances/672_11_8 | NO SOLUTION RETURNED | 302.33 | 276.26 | 0.70 | 275.55 | 236.95 | nan | 0.01 | 0.00 | 11.58 | 11.63 | 21,108,711 | 15,111,159 | 124,095,043 | 523,711.63 | 4.097E-06, 5.940E+05 | 2.680E-02, 2.676E+05 | 1.882E-04, 1.663E+04 |
BEAM-ME_Instances/672_22_8 | NO SOLUTION RETURNED | 512.73 | 460.41 | 0.95 | 459.44 | 418.14 | nan | 0.02 | 0.00 | 20.56 | 20.66 | 37,645,140 | 27,331,345 | 218,532,379 | 522,628.44 | 1.405E-06, 5.940E+05 | 8.298E-03, 2.676E+05 | 2.675E-04, 1.663E+04 |
E4SMA | NO SOLUTION RETURNED | 137.33 | 119.66 | 1.78 | 117.88 | 54.42 | nan | 0.00 | 0.00 | 5.94 | 5.95 | 4,229,763 | 4,437,740 | 32,382,036 | 595,028.32 | 7.402E-16, 4.407E+06 | 9.557E-06, 1.000E+09 | 1.258E-09, 1.610E+06 |
GAZNAT_V1_Instance | NO SOLUTION RETURNED | 130.60 | 118.55 | 2.83 | 115.70 | 90.19 | nan | 0.01 | 0.00 | 3.70 | 3.70 | 5,336,684 | 4,555,729 | 34,188,921 | 379,085.03 | 1.566E-14, 2.291E+05 | 3.516E-09, 3.000E+06 | 1.623E-07, 3.352E+06 |
Offshore | NO SOLUTION RETURNED | 164.14 | 154.44 | 0.48 | 153.94 | 109.59 | nan | 0.02 | 0.00 | 2.42 | 2.42 | 3,326,614 | 2,091,377 | 13,911,856 | 126,939.94 | 1.000E+00, 6.000E+03 | NA, NA | 2.546E-05, 2.735E+06 |
POLIZERO_V1_Instance | NO SOLUTION RETURNED | 227.65 | 207.38 | 4.33 | 203.03 | 111.12 | nan | 0.01 | 0.00 | 7.57 | 7.59 | 5,640,942 | 6,991,820 | 48,190,465 | 433,659.98 | 7.918E-19, 5.440E+05 | 3.837E-19, 1.000E+07 | 7.309E-08, 4.178E+06 |
POLIZERO_V2_Instance | NO SOLUTION RETURNED | 408.06 | 362.03 | 3.80 | 358.22 | 182.77 | nan | 0.02 | 0.00 | 13.69 | 13.75 | 10,540,301 | 13,847,195 | 69,064,648 | 377,885.65 | 1.918E-18, 8.825E+06 | 1.823E-19, 2.919E+07 | 9.620E-19, 2.269E+06 |
TIMES-DK-Instance | NO SOLUTION RETURNED | 16.61 | 15.33 | 1.83 | 13.48 | 7.78 | nan | 0.01 | 0.00 | 0.68 | 0.67 | 867,042 | 1,031,037 | 4,740,351 | 609,143.02 | 3.577E-08, 7.453E+04 | 4.606E-05, 4.500E+04 | 1.909E-09, 4.282E+06 |
UK-TIMES | NO SOLUTION RETURNED | 19.18 | 16.95 | 0.81 | 16.12 | 10.66 | nan | 0.02 | 0.00 | 0.87 | 0.87 | 875,780 | 932,609 | 6,883,510 | 645,975.04 | 4.659E-05, 6.697E+05 | 6.000E-04, 5.867E+05 | 2.793E-11, 3.746E+05 |
Instance | Model Status | Elapsed Time [s] | Total Seconds [s] | Compilation Time [s] | Execution Time [s] | Generation Time [s] | Solver Time [s] | Startup Time [s] | Closedown Time [s] | Highwater RSS [GB] | Highwater VSS [GB] | # Rows | # Columns | # Non Zeros | # Non Zeros per s | RHS [min, max] | Bound [min, max] | Matrix [min, max] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | ERROR NO SOLUTION | 44.13 | 39.08 | 1.55 | 37.52 | 13.25 | nan | 0.02 | 0.00 | 1.56 | 1.56 | 624,436 | 863,666 | 4,650,991 | 351,018.19 | 9.222E-05, 3.258E+06 | 7.001E-06, 6.612E+07 | 6.977E-09, 2.535E+06 |
BAU_IND_V2 | ERROR NO SOLUTION | 161.27 | 148.84 | 3.27 | 145.56 | 115.11 | nan | 0.02 | 0.00 | 4.56 | 4.56 | 6,750,106 | 6,399,364 | 40,479,629 | 351,660.40 | 1.566E-14, 2.285E+05 | 3.516E-09, 5.000E+04 | 1.623E-07, 3.352E+06 |
BEAM-ME_Instances/672_11_8 | ERROR NO SOLUTION | 311.12 | 285.08 | 0.78 | 284.28 | 245.23 | nan | 0.02 | 0.00 | 11.58 | 11.63 | 21,108,711 | 15,111,159 | 124,095,043 | 506,027.07 | 4.097E-06, 5.940E+05 | 2.680E-02, 2.676E+05 | 1.882E-04, 1.663E+04 |
BEAM-ME_Instances/672_22_8 | ERROR NO SOLUTION | 526.07 | 473.73 | 1.06 | 472.67 | 431.12 | nan | 0.00 | 0.00 | 20.56 | 20.66 | 37,645,140 | 27,331,345 | 218,532,379 | 506,888.67 | 1.405E-06, 5.940E+05 | 8.298E-03, 2.676E+05 | 2.675E-04, 1.663E+04 |
E4SMA | ERROR NO SOLUTION | 138.84 | 121.12 | 1.97 | 119.14 | 55.34 | nan | 0.02 | 0.00 | 5.93 | 5.95 | 4,229,763 | 4,437,740 | 32,382,036 | 585,104.73 | 7.402E-16, 4.407E+06 | 9.557E-06, 1.000E+09 | 1.258E-09, 1.610E+06 |
GAZNAT_V1_Instance | ERROR NO SOLUTION | 134.40 | 122.28 | 3.03 | 119.23 | 93.00 | nan | 0.01 | 0.00 | 3.69 | 3.69 | 5,336,684 | 4,555,729 | 34,188,921 | 367,622.81 | 1.566E-14, 2.291E+05 | 3.516E-09, 3.000E+06 | 1.623E-07, 3.352E+06 |
Offshore | ERROR NO SOLUTION | 165.84 | 156.09 | 0.48 | 155.59 | 110.66 | nan | 0.02 | 0.00 | 2.42 | 2.42 | 3,326,614 | 2,091,377 | 13,911,856 | 125,721.66 | 1.000E+00, 6.000E+03 | NA, NA | 2.546E-05, 2.735E+06 |
POLIZERO_V1_Instance | ERROR NO SOLUTION | 229.80 | 209.56 | 3.27 | 206.30 | 113.22 | nan | 0.00 | 0.00 | 7.59 | 7.62 | 5,640,942 | 6,991,820 | 48,190,465 | 425,643.14 | 7.918E-19, 5.440E+05 | 3.837E-19, 1.000E+07 | 7.309E-08, 4.178E+06 |
POLIZERO_V2_Instance | ERROR NO SOLUTION | 409.99 | 363.94 | 2.94 | 360.98 | 184.47 | nan | 0.01 | 0.00 | 13.67 | 13.73 | 10,540,301 | 13,847,195 | 69,064,648 | 374,397.04 | 1.918E-18, 8.825E+06 | 1.823E-19, 2.919E+07 | 9.620E-19, 2.269E+06 |
TIMES-DK-Instance | ERROR NO SOLUTION | 16.44 | 15.17 | 1.75 | 13.41 | 7.77 | nan | 0.01 | 0.00 | 0.68 | 0.67 | 867,042 | 1,031,037 | 4,740,351 | 610,398.02 | 3.577E-08, 7.453E+04 | 4.606E-05, 4.500E+04 | 1.909E-09, 4.282E+06 |
UK-TIMES | ERROR NO SOLUTION | 19.04 | 16.81 | 0.48 | 16.31 | 10.75 | nan | 0.02 | 0.00 | 0.87 | 0.87 | 875,780 | 932,609 | 6,883,510 | 640,326.51 | 4.659E-05, 6.697E+05 | 6.000E-04, 5.867E+05 | 2.793E-11, 3.746E+05 |
SolveLink
settings)Instance | Elapsed Time [%] | Total Seconds [%] | Compilation Time [%] | Execution Time [%] | Generation Time [%] | Solver Time [%] | Startup Time [%] | Closedown Time [%] | Highwater RSS [%] | Highwater VSS [%] | # Rows [%] | # Columns [%] | # Non Zeros [%] | # Non Zeros per s [%] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | 3.37 | 3.61 | 76.69 | -1.05 | -2.27 | 7.13 | 106.67 | nan | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 2.32 |
BAU_IND_V2 | -8.45 | -8.46 | 22.48 | -16.36 | -22.98 | -8.29 | 6.67 | nan | -0.09 | 0.08 | 0.00 | 0.00 | 0.00 | 29.84 |
BEAM-ME_Instances/672_11_8 | -4.98 | -5.00 | -39.56 | -33.14 | -41.47 | -3.97 | 0.00 | nan | -0.05 | 0.04 | 0.00 | 0.00 | 0.00 | 70.85 |
BEAM-ME_Instances/672_22_8 | -0.66 | -0.66 | -7.59 | -35.22 | -45.50 | 0.03 | -6.25 | nan | 1.06 | 1.68 | 0.00 | 0.00 | 0.00 | 83.49 |
E4SMA | 4.24 | 4.29 | -22.18 | -1.33 | -0.66 | 5.00 | 106.67 | nan | -0.06 | -0.05 | 0.00 | 0.00 | 0.00 | 0.66 |
GAZNAT_V1_Instance | -18.40 | -18.42 | 1.07 | -20.69 | -28.50 | -18.40 | 0.00 | nan | 1.20 | 3.20 | 0.00 | 0.00 | 0.00 | 39.87 |
Offshore | -43.03 | -43.55 | 57.56 | -66.05 | 0.84 | -23.58 | 3.23 | nan | 0.41 | 0.12 | 0.00 | 0.00 | 0.00 | -0.83 |
POLIZERO_V1_Instance | -7.89 | -7.91 | -0.02 | -7.88 | -3.80 | -7.93 | 100.00 | nan | -0.04 | -0.04 | 0.00 | 0.00 | 0.00 | 3.95 |
POLIZERO_V2_Instance | -27.29 | -27.58 | 0.37 | -9.96 | -24.33 | -29.26 | 0.00 | nan | -0.55 | 0.25 | 0.00 | 0.00 | 0.00 | 32.15 |
TIMES-DK-Instance | 3.77 | 3.80 | -19.75 | -0.29 | 0.62 | 4.72 | -48.39 | nan | 0.38 | -19.95 | 0.00 | 0.00 | 0.00 | -0.61 |
UK-TIMES | -2.04 | -2.13 | -1.80 | 0.16 | -0.44 | -2.71 | -6.25 | nan | 0.66 | 1.22 | 0.00 | 0.00 | 0.00 | 0.44 |
mean | -9.21 | -9.27 | 6.12 | -17.44 | -15.32 | -7.02 | 23.85 | nan | 0.27 | -1.22 | 0.00 | 0.00 | 0.00 | 23.83 |
Instance | Model Status | Elapsed Time [s] | Total Seconds [s] | Compilation Time [s] | Execution Time [s] | Generation Time [s] | Solver Time [s] | Startup Time [s] | Closedown Time [s] | Highwater RSS [GB] | Highwater VSS [GB] | # Rows | # Columns | # Non Zeros | # Non Zeros per s | RHS [min, max] | Bound [min, max] | Matrix [min, max] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | FEASIBLE SOLUTION | 75.08 | 70.14 | 1.14 | 40.03 | 13.11 | 28.95 | 0.01 | 0.00 | 2.84 | 3.20 | 624,436 | 863,666 | 4,650,991 | 354,793.73 | 9.222E-05, 3.258E+06 | 7.001E-06, 6.612E+07 | 6.977E-09, 2.535E+06 |
BAU_IND_V2 | OPTIMAL | 7,200.06 | 7,187.06 | 2.50 | 164.52 | 112.33 | 7,020.03 | 0.01 | 0.00 | 22.81 | 26.23 | 6,750,106 | 6,399,364 | 40,479,629 | 360,369.89 | 1.566E-14, 2.285E+05 | 3.516E-09, 5.000E+04 | 1.623E-07, 3.352E+06 |
BEAM-ME_Instances/672_11_8 | OPTIMAL | 12,663.56 | 12,636.41 | 1.19 | 447.48 | 340.88 | 12,187.72 | 0.02 | 0.00 | 63.56 | 70.12 | 21,108,711 | 15,111,159 | 124,095,043 | 364,048.53 | 4.097E-06, 5.940E+05 | 2.680E-02, 2.676E+05 | 1.882E-04, 1.663E+04 |
BEAM-ME_Instances/672_22_8 | INTERMEDIATE INFEASIBLE | 44,138.21 | 44,081.23 | 1.01 | 857.08 | 641.92 | 43,223.12 | 0.02 | 0.00 | 116.82 | 163.84 | 37,645,140 | 27,331,345 | 218,532,379 | 340,434.47 | 1.405E-06, 5.940E+05 | 8.298E-03, 2.676E+05 | 2.675E-04, 1.663E+04 |
BEAM-ME_Instances/2016_22_8 | ERROR NO SOLUTION | 5,175.38 | 3,767.83 | 2.66 | 3,728.11 | 3,548.52 | 1,100.03 | 18.37 | 18.69 | 119.26 | 219.52 | 112,857,882 | 81,947,383 | 658,167,482 | 185,476.83 | 2.460E-07, 5.940E+05 | 8.298E-03, 2.676E+05 | 1.946E-06, 1.663E+04 |
E4SMA | FEASIBLE SOLUTION | 1,342.36 | 1,324.19 | 2.61 | 137.14 | 54.94 | 1,184.42 | 0.01 | 0.00 | 17.91 | 19.95 | 4,229,763 | 4,437,740 | 32,382,036 | 589,428.74 | 7.402E-16, 4.407E+06 | 9.557E-06, 1.000E+09 | 1.258E-09, 1.610E+06 |
GAZNAT_V1_Instance | FEASIBLE SOLUTION | 14,502.81 | 14,490.08 | 3.00 | 136.78 | 92.31 | 14,350.28 | 0.01 | 0.00 | 19.16 | 20.62 | 5,336,684 | 4,555,729 | 34,188,921 | 370,362.69 | 1.566E-14, 2.291E+05 | 3.516E-09, 3.000E+06 | 1.623E-07, 3.352E+06 |
Offshore | FEASIBLE SOLUTION | 823.94 | 814.00 | 0.52 | 383.74 | 110.39 | 429.72 | 0.03 | 0.00 | 7.30 | 8.16 | 3,326,614 | 2,091,377 | 13,911,856 | 126,024.60 | 1.000E+00, 6.000E+03 | NA, NA | 2.546E-05, 2.735E+06 |
POLIZERO_V1_Instance | FEASIBLE SOLUTION | 2,833.50 | 2,812.67 | 4.55 | 233.69 | 113.12 | 2,574.42 | 0.02 | 0.00 | 22.63 | 24.68 | 5,640,942 | 6,991,820 | 48,190,465 | 425,993.06 | 7.918E-19, 5.440E+05 | 3.837E-19, 1.000E+07 | 7.309E-08, 4.178E+06 |
POLIZERO_V2_Instance | FEASIBLE SOLUTION | 4,840.59 | 4,793.86 | 4.02 | 412.39 | 185.81 | 4,377.44 | 0.02 | 0.00 | 36.28 | 40.14 | 10,540,301 | 13,847,195 | 69,064,648 | 371,691.00 | 1.918E-18, 8.825E+06 | 1.823E-19, 2.919E+07 | 9.620E-19, 2.269E+06 |
TIMES-DK-Instance | OPTIMAL | 153.45 | 152.11 | 2.38 | 16.03 | 7.80 | 133.67 | 0.03 | 0.00 | 2.64 | 4.01 | 867,042 | 1,031,037 | 4,740,351 | 608,049.13 | 3.577E-08, 7.453E+04 | 4.606E-05, 4.500E+04 | 1.909E-09, 4.282E+06 |
UK-TIMES | OPTIMAL | 99.78 | 97.47 | 0.89 | 19.42 | 10.80 | 77.14 | 0.02 | 0.00 | 3.02 | 3.29 | 875,780 | 932,609 | 6,883,510 | 637,539.13 | 4.659E-05, 6.697E+05 | 6.000E-04, 5.867E+05 | 2.793E-11, 3.746E+05 |
Instance | Model Status | Elapsed Time [s] | Total Seconds [s] | Compilation Time [s] | Execution Time [s] | Generation Time [s] | Solver Time [s] | Startup Time [s] | Closedown Time [s] | Highwater RSS [GB] | Highwater VSS [GB] | # Rows | # Columns | # Non Zeros | # Non Zeros per s | RHS [min, max] | Bound [min, max] | Matrix [min, max] |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1p5C_OS_SSP2 | FEASIBLE SOLUTION | 77.61 | 72.67 | 2.02 | 39.61 | 12.81 | 31.02 | 0.03 | 0.00 | 2.84 | 3.20 | 624,436 | 863,666 | 4,650,991 | 363,018.34 | 9.222E-05, 3.258E+06 | 7.001E-06, 6.612E+07 | 6.977E-09, 2.535E+06 |
BAU_IND_V2 | OPTIMAL | 6,591.76 | 6,578.73 | 3.06 | 137.61 | 86.52 | 6,438.05 | 0.02 | 0.00 | 22.79 | 26.25 | 6,750,106 | 6,399,364 | 40,479,629 | 467,891.45 | 1.566E-14, 2.285E+05 | 3.516E-09, 5.000E+04 | 1.623E-07, 3.352E+06 |
BEAM-ME_Instances/672_11_8 | OPTIMAL | 12,032.29 | 12,004.11 | 0.72 | 299.19 | 199.52 | 11,704.19 | 0.02 | 0.00 | 63.53 | 70.15 | 21,108,711 | 15,111,159 | 124,095,043 | 621,980.41 | 4.097E-06, 5.940E+05 | 2.680E-02, 2.676E+05 | 1.882E-04, 1.663E+04 |
BEAM-ME_Instances/672_22_8 | INTERMEDIATE INFEASIBLE | 43,846.96 | 43,790.44 | 0.94 | 555.25 | 349.84 | 43,234.23 | 0.01 | 0.00 | 118.06 | 166.59 | 37,645,140 | 27,331,345 | 218,532,379 | 624,656.64 | 1.405E-06, 5.940E+05 | 8.298E-03, 2.676E+05 | 2.675E-04, 1.663E+04 |
BEAM-ME_Instances/2016_22_8 | ERROR NO SOLUTION | 2,912.60 | 1,594.75 | 2.61 | 1,550.64 | 1,462.36 | 1,032.20 | 22.92 | 18.58 | 118.58 | 219.52 | 112,857,882 | 81,947,383 | 658,134,218 | 450,049.69 | 2.460E-07, 5.940E+05 | 8.298E-03, 2.676E+05 | 1.946E-06, 1.663E+04 |
E4SMA | FEASIBLE SOLUTION | 1,399.33 | 1,380.98 | 2.03 | 135.31 | 54.58 | 1,243.61 | 0.03 | 0.00 | 17.90 | 19.94 | 4,229,763 | 4,437,740 | 32,382,036 | 593,316.65 | 7.402E-16, 4.407E+06 | 9.557E-06, 1.000E+09 | 1.258E-09, 1.610E+06 |
GAZNAT_V1_Instance | FEASIBLE SOLUTION | 11,833.81 | 11,821.22 | 3.03 | 108.48 | 66.00 | 11,709.69 | 0.01 | 0.00 | 19.39 | 21.28 | 5,336,684 | 4,555,729 | 34,188,921 | 518,013.95 | 1.566E-14, 2.291E+05 | 3.516E-09, 3.000E+06 | 1.623E-07, 3.352E+06 |
Offshore | FEASIBLE SOLUTION | 469.40 | 459.50 | 0.81 | 130.28 | 111.31 | 328.38 | 0.03 | 0.00 | 7.33 | 8.17 | 3,326,614 | 2,091,377 | 13,911,856 | 124,979.62 | 1.000E+00, 6.000E+03 | NA, NA | 2.546E-05, 2.735E+06 |
POLIZERO_V1_Instance | OPTIMAL | 2,609.86 | 2,590.11 | 4.55 | 215.27 | 108.83 | 2,370.27 | 0.03 | 0.00 | 22.62 | 24.67 | 5,640,942 | 6,991,820 | 48,190,465 | 442,813.11 | 7.918E-19, 5.440E+05 | 3.837E-19, 1.000E+07 | 7.309E-08, 4.178E+06 |
POLIZERO_V2_Instance | FEASIBLE SOLUTION | 3,519.83 | 3,471.78 | 4.03 | 371.30 | 140.61 | 3,096.44 | 0.02 | 0.00 | 36.08 | 40.24 | 10,540,301 | 13,847,195 | 69,064,648 | 491,182.27 | 1.918E-18, 8.825E+06 | 1.823E-19, 2.919E+07 | 9.620E-19, 2.269E+06 |
TIMES-DK-Instance | OPTIMAL | 159.24 | 157.89 | 1.91 | 15.98 | 7.84 | 139.98 | 0.02 | 0.00 | 2.65 | 3.21 | 867,042 | 1,031,037 | 4,740,351 | 604,328.28 | 3.577E-08, 7.453E+04 | 4.606E-05, 4.500E+04 | 1.909E-09, 4.282E+06 |
UK-TIMES | OPTIMAL | 97.74 | 95.39 | 0.88 | 19.45 | 10.75 | 75.05 | 0.01 | 0.00 | 3.04 | 3.33 | 875,780 | 932,609 | 6,883,510 | 640,326.51 | 4.659E-05, 6.697E+05 | 6.000E-04, 5.867E+05 | 2.793E-11, 3.746E+05 |
1) Preliminaries
execute_loadpoint
of point file2) Evaluation of baseline runs
3) Investigation of potential Improvements