Statistics for category Efficiency

Attribute Filter
SolverTime all instances
  no fail by all solver
  time >= 10.0 by at least one solver and no fail for all solvers
  gap <= 0.1% and no fail for all solvers
  gap <= 1% and no fail for all solvers
  gap <= 10% and no fail for all solvers
  within 0.1% of known optimal value and no fail for all solvers
  within 1% of known optimal value and no fail for all solvers
  within 10% of known optimal value and no fail for all solvers
  no fail
  time >= 10.0 by at least one solver and no fail for all solvers
  gap <= 0.1% and not failed
  gap <= 1% and not failed
  gap <= 10% and not failed
  within 0.1% of known optimal value and not failed
  within 1% of known optimal value and not failed
  within 10% of known optimal value and not failed
NumberOfIterations no fail by all solver
  time >= 10.0 by at least one solver and no fail for all solvers
  within 0.1% of known optimal value and not failed
  within 0.1% of known optimal value and not failed

For a short description on the computed values, refer to the documentation.

SolverTime
Filter: all instances

Attribute values were projected onto interval [0.1, 900.0].
Missing values and values for failed instances substituted by 900.0 .

Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. best virt. worst
count 438.00 438.00 438.00 438.00 438.00 438.00 438.00 438.00 438.00 438.00
arith. mean 163.02 211.58 228.93 295.59 207.26 208.85 209.90 306.26 127.76 360.40
arith. std. 304.36 340.49 344.51 367.89 341.96 337.67 338.57 373.20 267.06 397.12
geom. mean 27.80 37.08 42.21 64.42 32.31 31.96 35.61 66.72 19.49 90.33
geom. std. 7.23 7.87 8.21 8.70 8.44 8.97 8.12 8.94 7.22 8.44
sh.geom. mean 41.79 54.50 61.90 91.10 49.98 50.99 53.42 94.91 31.45 121.22
sh.geom. std. 4.15 4.68 4.81 5.16 4.76 4.84 4.70 5.22 3.88 5.24
min 0.34 0.28 0.26 0.28 0.41 0.33 0.23 0.26 0.23 0.41
10.0% 2.35 2.65 2.61 3.13 2.09 1.84 2.63 2.87 1.67 3.99
25.0% 6.56 7.95 8.99 10.16 6.70 6.13 6.79 14.42 4.77 20.56
50.0% 25.16 27.62 31.66 62.18 23.26 24.65 27.39 61.00 16.88 89.93
75.0% 81.51 178.35 305.79 671.46 145.06 193.56 192.88 776.67 61.08 900.00
90.0% 899.69 900.00 900.00 900.00 900.00 900.00 900.00 900.00 539.75 900.00
max 900.00 900.00 900.00 900.00 900.00 900.00 900.00 900.00 900.00 900.00
geometric mean shift: 10.0

Performance with respect to virt. best:
Tolerance: relative 0.1 absolute 0.1
Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. worst
count 438.00 438.00 438.00 438.00 438.00 438.00 438.00 438.00 438.00
arith. mean 1.90 3.63 4.56 7.15 2.41 2.37 2.53 7.65 9.87
arith. std. 2.78 23.91 26.19 24.92 4.75 3.88 4.04 25.67 28.10
min 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
10.0% 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.39
25.0% 1.00 1.23 1.33 1.46 1.06 1.00 1.22 1.44 2.00
50.0% 1.00 1.60 1.74 2.47 1.34 1.26 1.51 2.61 4.20
75.0% 1.55 2.36 2.77 7.07 1.97 2.00 2.18 6.90 8.98
90.0% 4.05 4.50 6.08 16.05 3.74 4.58 4.16 16.06 20.73
max 42.89 497.55 497.55 497.55 67.11 53.76 53.76 497.55 497.55
better 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
close 256.00 89.00 58.00 67.00 145.00 169.00 76.00 60.00 42.00
worse 182.00 349.00 380.00 371.00 293.00 269.00 362.00 378.00 396.00


SolverTime
Filter: no fail by all solver

Attribute values were projected onto interval [0.1, 900.0].
Missing values and values for failed instances substituted by 900.0 .

Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. best virt. worst
count 405.00 405.00 405.00 405.00 405.00 405.00 405.00 405.00 405.00 405.00
arith. mean 117.12 172.36 189.52 264.18 175.77 176.73 172.55 272.33 95.69 316.43
arith. std. 250.90 308.77 314.10 353.17 317.62 313.20 308.01 356.87 226.10 380.61
geom. mean 22.08 30.14 34.32 54.49 26.93 26.43 29.25 56.29 15.82 74.90
geom. std. 6.25 7.23 7.66 8.53 7.87 8.38 7.47 8.77 6.36 8.26
sh.geom. mean 32.93 44.58 50.87 78.37 41.97 42.59 44.10 81.50 25.33 102.06
sh.geom. std. 3.56 4.28 4.45 5.01 4.42 4.50 4.31 5.05 3.40 5.07
min 0.34 0.28 0.26 0.28 0.41 0.33 0.23 0.26 0.23 0.41
10.0% 2.30 2.57 2.30 3.04 1.97 1.69 2.44 2.75 1.58 3.79
25.0% 5.81 7.23 7.96 9.05 6.06 5.44 5.82 10.73 4.34 15.21
50.0% 21.57 23.60 27.21 47.89 20.49 21.23 23.85 50.64 13.44 67.73
75.0% 57.34 106.55 166.04 476.56 85.29 111.50 94.79 541.43 43.29 899.39
90.0% 387.89 900.00 900.00 900.00 900.00 900.00 900.00 900.00 252.43 900.00
max 900.00 900.00 900.00 900.00 900.00 900.00 900.00 900.00 900.00 900.00
geometric mean shift: 10.0

Performance with respect to virt. best:
Tolerance: relative 0.1 absolute 0.1
Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. worst
count 405.00 405.00 405.00 405.00 405.00 405.00 405.00 405.00 405.00
arith. mean 1.81 2.50 2.96 6.25 2.49 2.40 2.45 6.81 8.42
arith. std. 2.58 3.46 3.73 8.41 4.91 3.87 3.58 10.72 11.79
min 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
10.0% 1.00 1.00 1.14 1.00 1.00 1.00 1.03 1.10 1.54
25.0% 1.00 1.29 1.36 1.51 1.07 1.00 1.27 1.51 2.08
50.0% 1.00 1.61 1.80 2.65 1.38 1.29 1.55 2.73 4.24
75.0% 1.52 2.36 2.80 7.36 2.00 2.03 2.23 7.05 8.98
90.0% 3.60 4.43 5.99 16.44 3.89 4.68 4.06 16.41 19.99
max 42.89 53.76 41.11 53.45 67.11 53.76 53.76 86.67 86.67
better 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
close 238.00 70.00 41.00 51.00 120.00 145.00 53.00 44.00 26.00
worse 167.00 335.00 364.00 354.00 285.00 260.00 352.00 361.00 379.00


SolverTime
Filter: time >= 10.0 by at least one solver and no fail for all solvers

Attribute values were projected onto interval [0.1, 900.0].
Missing values and values for failed instances substituted by 900.0 .

Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. best virt. worst
count 320.00 320.00 320.00 320.00 320.00 320.00 320.00 320.00 320.00 320.00
arith. mean 147.45 217.35 239.05 333.38 221.81 223.10 217.65 343.79 120.59 399.37
arith. std. 274.46 333.27 336.48 367.53 342.98 337.58 332.30 369.98 248.55 388.05
geom. mean 40.41 58.31 69.18 118.61 53.75 54.15 57.43 127.41 29.08 170.60
geom. std. 4.64 5.28 5.29 5.32 5.66 5.90 5.39 5.08 4.79 4.52
sh.geom. mean 49.20 70.07 81.87 135.60 66.14 67.70 69.53 143.20 37.19 184.79
sh.geom. std. 3.46 4.07 4.12 4.25 4.25 4.31 4.09 4.19 3.40 3.93
min 2.13 3.15 1.38 3.71 2.34 0.71 2.69 3.86 0.71 10.09
10.0% 7.03 8.72 9.64 12.43 7.32 6.82 7.90 15.50 5.08 22.67
25.0% 12.56 15.12 18.46 29.09 14.18 12.97 17.47 28.04 8.94 43.67
50.0% 33.45 39.32 46.75 107.47 33.11 36.05 38.96 124.03 21.38 176.07
75.0% 82.03 183.58 344.48 836.18 235.02 263.83 216.81 868.81 63.09 900.00
90.0% 841.10 900.00 900.00 900.00 900.00 900.00 900.00 900.00 427.92 900.00
max 900.00 900.00 900.00 900.00 900.00 900.00 900.00 900.00 900.00 900.00
geometric mean shift: 10.0

Performance with respect to virt. best:
Tolerance: relative 0.1 absolute 0.1
Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. worst
count 320.00 320.00 320.00 320.00 320.00 320.00 320.00 320.00 320.00
arith. mean 1.88 2.72 3.32 7.40 2.81 2.74 2.71 8.17 10.07
arith. std. 2.88 3.84 4.11 9.11 5.48 4.30 3.98 11.69 12.77
min 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
10.0% 1.00 1.00 1.05 1.00 1.00 1.00 1.00 1.01 1.57
25.0% 1.00 1.23 1.41 1.57 1.10 1.08 1.27 1.93 2.86
50.0% 1.00 1.73 2.01 3.61 1.49 1.46 1.66 3.80 5.54
75.0% 1.45 2.72 3.22 9.13 2.22 2.34 2.63 8.98 10.17
90.0% 4.18 4.92 6.70 19.74 4.77 5.33 4.49 19.70 25.80
max 42.89 53.76 41.11 53.45 67.11 53.76 53.76 86.67 86.67
better 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
close 208.00 62.00 35.00 48.00 84.00 90.00 45.00 40.00 26.00
worse 112.00 258.00 285.00 272.00 236.00 230.00 275.00 280.00 294.00


SolverTime
Filter: gap <= 0.1% and no fail for all solvers

Attribute values were projected onto interval [0.1, 900.0].
Missing values and values for failed instances substituted by 900.0 .

Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. best virt. worst
count 284.00 284.00 284.00 284.00 284.00 284.00 284.00 284.00 284.00 284.00
arith. mean 25.80 33.17 41.97 82.40 29.24 37.12 34.39 95.30 16.38 114.56
arith. std. 50.36 82.12 96.77 162.32 76.52 105.62 85.53 193.36 31.83 208.93
geom. mean 10.61 12.08 13.56 21.24 10.26 10.14 11.79 22.04 7.13 30.14
geom. std. 3.95 3.92 4.35 5.56 4.02 4.51 4.10 5.97 3.59 5.81
sh.geom. mean 15.23 16.85 19.35 30.97 14.84 15.42 16.82 32.75 10.35 42.23
sh.geom. std. 2.07 2.21 2.40 3.13 2.13 2.34 2.24 3.28 1.82 3.38
min 0.34 0.28 0.26 0.28 0.41 0.33 0.23 0.26 0.23 0.41
10.0% 1.59 1.97 1.86 2.23 1.64 1.46 1.90 1.99 1.36 2.92
25.0% 4.17 4.52 4.68 5.95 3.69 3.35 4.19 5.83 3.09 7.78
50.0% 9.93 11.78 14.78 22.90 11.46 10.46 12.14 22.34 7.52 35.15
75.0% 31.37 28.77 31.95 68.16 24.24 26.34 30.22 63.22 18.15 89.47
90.0% 57.21 64.29 75.40 229.22 54.92 53.75 58.17 249.15 33.03 340.98
max 631.90 900.00 899.34 900.00 855.54 900.00 775.36 900.00 293.82 900.00
geometric mean shift: 10.0

Performance with respect to virt. best:
Tolerance: relative 0.1 absolute 0.1
Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. worst
count 284.00 284.00 284.00 284.00 284.00 284.00 284.00 284.00 284.00
arith. mean 1.85 1.87 2.20 4.63 1.58 1.69 1.87 5.42 6.64
arith. std. 1.66 1.07 1.68 6.27 1.04 2.00 1.63 9.59 9.89
min 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.40
10.0% 1.00 1.03 1.22 1.29 1.00 1.00 1.12 1.23 1.74
25.0% 1.00 1.30 1.37 1.56 1.08 1.00 1.27 1.54 2.13
50.0% 1.16 1.54 1.69 2.44 1.31 1.23 1.47 2.44 3.61
75.0% 1.65 2.14 2.29 4.72 1.77 1.61 1.90 4.92 7.10
90.0% 4.18 2.91 3.36 9.28 2.28 2.34 2.76 10.03 10.75
max 9.86 9.97 18.36 47.03 12.60 26.94 23.21 86.67 86.67
better 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
close 136.00 41.00 15.00 17.00 85.00 103.00 25.00 14.00 0.00
worse 148.00 243.00 269.00 267.00 199.00 181.00 259.00 270.00 284.00


SolverTime
Filter: gap <= 1% and no fail for all solvers

Attribute values were projected onto interval [0.1, 900.0].
Missing values and values for failed instances substituted by 900.0 .

Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. best virt. worst
count 311.00 311.00 311.00 311.00 311.00 311.00 311.00 311.00 311.00 311.00
arith. mean 37.60 54.60 67.49 127.71 53.72 58.33 55.37 141.78 28.95 163.60
arith. std. 100.95 148.40 166.61 240.78 156.38 163.82 152.74 262.61 94.91 277.77
geom. mean 11.98 14.31 16.16 26.41 12.30 11.93 13.80 27.44 8.23 36.97
geom. std. 4.32 4.55 5.06 6.57 4.80 5.27 4.72 6.99 4.18 6.66
sh.geom. mean 17.43 20.48 23.63 39.16 18.45 18.76 20.18 41.29 12.49 52.17
sh.geom. std. 2.32 2.62 2.85 3.74 2.61 2.76 2.63 3.90 2.16 3.94
min 0.34 0.28 0.26 0.28 0.41 0.33 0.23 0.26 0.23 0.41
10.0% 1.67 2.09 2.07 2.51 1.67 1.50 2.02 2.07 1.39 3.04
25.0% 4.37 5.05 5.21 6.18 3.92 3.48 4.42 6.11 3.14 7.98
50.0% 11.42 12.71 16.95 25.44 12.69 11.11 15.15 24.84 8.06 40.35
75.0% 35.41 33.80 37.87 93.15 29.42 30.62 34.49 97.85 20.12 126.11
90.0% 64.64 90.05 133.10 412.47 72.30 94.91 83.03 611.00 43.52 756.05
max 900.00 900.00 900.00 900.00 900.00 900.00 900.00 900.00 899.71 900.00
geometric mean shift: 10.0

Performance with respect to virt. best:
Tolerance: relative 0.1 absolute 0.1
Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. worst
count 311.00 311.00 311.00 311.00 311.00 311.00 311.00 311.00 311.00
arith. mean 1.80 1.98 2.37 5.32 1.85 1.74 1.90 6.23 7.55
arith. std. 1.62 1.53 2.44 7.25 3.88 2.00 1.61 10.82 11.46
min 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
10.0% 1.00 1.04 1.22 1.29 1.00 1.00 1.12 1.23 1.71
25.0% 1.00 1.30 1.38 1.57 1.08 1.00 1.27 1.58 2.14
50.0% 1.11 1.58 1.73 2.52 1.34 1.24 1.48 2.57 4.03
75.0% 1.61 2.21 2.36 5.49 1.81 1.68 1.95 5.19 7.51
90.0% 4.03 3.11 4.05 11.92 2.49 2.46 2.81 14.37 15.85
max 9.86 20.93 28.11 47.03 67.11 26.94 23.21 86.67 86.67
better 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
close 159.00 44.00 18.00 20.00 91.00 113.00 29.00 17.00 3.00
worse 152.00 267.00 293.00 291.00 220.00 198.00 282.00 294.00 308.00


SolverTime
Filter: gap <= 10% and no fail for all solvers

Attribute values were projected onto interval [0.1, 900.0].
Missing values and values for failed instances substituted by 900.0 .

Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. best virt. worst
count 335.00 335.00 335.00 335.00 335.00 335.00 335.00 335.00 335.00 335.00
arith. mean 41.48 62.66 77.79 168.38 61.20 66.20 62.75 172.52 33.00 205.25
arith. std. 111.66 156.81 178.20 283.37 164.57 169.20 160.26 285.46 105.34 312.95
geom. mean 13.08 16.42 18.67 32.99 14.09 13.91 15.72 33.65 9.21 45.42
geom. std. 4.34 4.77 5.30 7.34 5.01 5.54 4.90 7.55 4.29 7.24
sh.geom. mean 18.77 23.44 27.16 48.86 21.03 21.76 22.86 50.29 13.88 63.73
sh.geom. std. 2.36 2.75 3.00 4.22 2.74 2.90 2.75 4.25 2.23 4.34
min 0.34 0.28 0.26 0.28 0.41 0.33 0.23 0.26 0.23 0.41
10.0% 1.89 2.25 2.17 2.81 1.81 1.53 2.32 2.25 1.45 3.22
25.0% 4.76 5.54 5.93 6.68 4.56 4.02 4.79 7.10 3.36 9.73
50.0% 12.68 15.21 18.54 29.50 14.54 13.60 18.04 29.69 9.10 45.81
75.0% 36.94 46.90 53.48 167.78 36.52 38.99 42.96 167.16 22.83 202.05
90.0% 64.46 117.73 166.35 824.03 84.42 115.60 94.24 790.36 47.54 900.00
max 900.00 900.00 900.00 900.00 900.00 900.00 900.00 900.00 899.76 900.00
geometric mean shift: 10.0

Performance with respect to virt. best:
Tolerance: relative 0.1 absolute 0.1
Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. worst
count 335.00 335.00 335.00 335.00 335.00 335.00 335.00 335.00 335.00
arith. mean 1.75 2.08 2.57 6.43 1.96 1.90 1.99 7.05 8.66
arith. std. 1.57 1.77 2.99 8.75 3.95 2.32 1.87 11.41 12.34
min 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
10.0% 1.00 1.05 1.22 1.29 1.00 1.00 1.12 1.23 1.71
25.0% 1.00 1.31 1.38 1.59 1.08 1.00 1.28 1.63 2.19
50.0% 1.06 1.60 1.74 2.69 1.36 1.26 1.50 2.73 4.25
75.0% 1.55 2.24 2.50 7.34 1.81 1.75 1.96 6.93 8.63
90.0% 3.69 3.18 4.43 16.82 2.65 2.67 2.91 17.21 22.92
max 9.86 20.93 28.11 53.45 67.11 26.94 23.21 86.67 86.67
better 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
close 181.00 45.00 19.00 21.00 96.00 119.00 31.00 19.00 4.00
worse 154.00 290.00 316.00 314.00 239.00 216.00 304.00 316.00 331.00


SolverTime
Filter: within 0.1% of known optimal value and no fail for all solvers

Attribute values were projected onto interval [0.1, 900.0].
Missing values and values for failed instances substituted by 900.0 .

Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. best virt. worst
count 283.00 283.00 283.00 283.00 283.00 283.00 283.00 283.00 283.00 283.00
arith. mean 41.11 64.38 80.12 122.86 65.62 73.65 63.47 126.45 32.00 154.47
arith. std. 107.35 169.11 188.34 238.04 178.14 191.74 164.58 244.33 101.45 269.79
geom. mean 12.28 14.43 16.62 24.12 12.60 12.50 14.13 24.52 8.27 34.01
geom. std. 4.57 5.00 5.62 6.64 5.38 5.97 5.15 6.83 4.45 6.70
sh.geom. mean 18.23 21.36 25.16 36.46 19.71 20.53 21.31 37.42 12.92 48.80
sh.geom. std. 2.41 2.84 3.11 3.74 2.89 3.08 2.83 3.75 2.26 3.90
min 0.34 0.28 0.26 0.28 0.41 0.33 0.23 0.26 0.23 0.41
10.0% 1.59 1.96 1.77 2.15 1.64 1.43 1.90 1.98 1.27 2.91
25.0% 4.25 4.47 4.64 5.53 3.59 3.29 4.05 5.78 2.97 6.94
50.0% 11.75 12.26 17.05 23.53 12.64 11.69 15.00 22.78 7.99 37.97
75.0% 37.00 34.11 38.63 90.27 29.88 32.11 34.43 91.88 20.12 118.27
90.0% 72.53 123.06 180.64 398.31 88.54 139.72 105.93 502.36 47.02 658.91
max 900.00 900.00 900.00 900.00 900.00 900.00 900.00 900.00 899.71 900.00
geometric mean shift: 10.0

Performance with respect to virt. best:
Tolerance: relative 0.1 absolute 0.1
Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. worst
count 283.00 283.00 283.00 283.00 283.00 283.00 283.00 283.00 283.00
arith. mean 1.85 2.04 2.54 4.83 1.95 1.91 1.96 4.98 6.54
arith. std. 1.67 1.76 2.86 7.33 4.10 2.37 1.72 8.16 9.57
min 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
10.0% 1.00 1.03 1.21 1.25 1.00 1.00 1.12 1.22 1.65
25.0% 1.00 1.30 1.36 1.53 1.08 1.00 1.29 1.52 2.08
50.0% 1.16 1.55 1.71 2.34 1.30 1.24 1.51 2.37 3.48
75.0% 1.65 2.16 2.53 4.46 1.82 1.81 2.08 4.48 6.84
90.0% 4.21 3.12 4.51 9.59 2.83 2.88 2.91 9.66 12.78
max 9.86 20.93 28.11 53.45 67.11 26.94 23.21 86.67 86.67
better 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
close 137.00 41.00 17.00 19.00 86.00 104.00 27.00 16.00 3.00
worse 146.00 242.00 266.00 264.00 197.00 179.00 256.00 267.00 280.00


SolverTime
Filter: within 1% of known optimal value and no fail for all solvers

Attribute values were projected onto interval [0.1, 900.0].
Missing values and values for failed instances substituted by 900.0 .

Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. best virt. worst
count 288.00 288.00 288.00 288.00 288.00 288.00 288.00 288.00 288.00 288.00
arith. mean 43.35 70.40 89.19 132.33 72.95 78.92 70.80 138.34 33.97 166.61
arith. std. 111.00 176.50 202.04 249.68 189.16 197.64 175.72 259.29 103.73 282.92
geom. mean 12.67 15.24 17.64 25.48 13.36 13.20 14.98 26.04 8.59 35.97
geom. std. 4.64 5.20 5.87 6.84 5.64 6.18 5.39 7.09 4.55 6.90
sh.geom. mean 18.83 22.70 26.84 38.54 21.06 21.78 22.75 39.80 13.47 51.60
sh.geom. std. 2.46 2.96 3.26 3.86 3.03 3.18 2.97 3.90 2.32 4.03
min 0.34 0.28 0.26 0.28 0.41 0.33 0.23 0.26 0.23 0.41
10.0% 1.60 1.99 1.81 2.26 1.64 1.44 1.91 2.03 1.28 2.95
25.0% 4.34 4.52 4.68 5.76 3.66 3.34 4.19 5.83 3.09 7.24
50.0% 12.31 12.58 17.19 23.93 13.20 11.87 15.43 23.50 8.23 38.68
75.0% 37.26 35.74 45.25 94.75 31.42 36.02 34.93 97.69 20.64 131.00
90.0% 74.90 154.76 266.71 500.47 139.78 178.51 157.56 557.18 51.14 830.80
max 900.00 900.00 900.00 900.00 900.00 900.00 900.00 900.00 899.71 900.00
geometric mean shift: 10.0

Performance with respect to virt. best:
Tolerance: relative 0.1 absolute 0.1
Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. worst
count 288.00 288.00 288.00 288.00 288.00 288.00 288.00 288.00 288.00
arith. mean 1.83 2.10 2.68 4.97 2.05 1.97 2.05 5.27 6.80
arith. std. 1.66 1.90 3.27 7.47 4.26 2.41 1.97 8.76 10.03
min 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
10.0% 1.00 1.03 1.21 1.25 1.00 1.00 1.12 1.21 1.64
25.0% 1.00 1.30 1.36 1.53 1.08 1.00 1.29 1.52 2.08
50.0% 1.15 1.57 1.71 2.36 1.31 1.25 1.52 2.39 3.49
75.0% 1.63 2.20 2.54 4.50 1.83 1.88 2.12 4.61 6.88
90.0% 4.19 3.31 4.63 10.07 2.91 3.08 2.99 11.81 15.22
max 9.86 20.93 28.11 53.45 67.11 26.94 23.21 86.67 86.67
better 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
close 141.00 41.00 17.00 19.00 86.00 105.00 27.00 17.00 3.00
worse 147.00 247.00 271.00 269.00 202.00 183.00 261.00 271.00 285.00


SolverTime
Filter: within 10% of known optimal value and no fail for all solvers

Attribute values were projected onto interval [0.1, 900.0].
Missing values and values for failed instances substituted by 900.0 .

Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. best virt. worst
count 302.00 302.00 302.00 302.00 302.00 302.00 302.00 302.00 302.00 302.00
arith. mean 49.84 80.34 102.77 153.50 87.47 94.45 84.20 158.31 39.50 187.49
arith. std. 129.93 189.70 223.10 273.58 213.48 222.92 198.69 280.27 117.43 302.50
geom. mean 13.59 16.69 19.40 28.43 14.83 14.73 16.48 28.93 9.29 39.72
geom. std. 4.78 5.49 6.19 7.28 6.04 6.62 5.75 7.50 4.76 7.21
sh.geom. mean 20.15 24.96 29.57 43.05 23.54 24.41 25.19 44.25 14.66 56.82
sh.geom. std. 2.56 3.13 3.45 4.12 3.27 3.43 3.19 4.15 2.44 4.24
min 0.34 0.28 0.26 0.28 0.41 0.33 0.23 0.26 0.23 0.41
10.0% 1.69 2.03 1.95 2.50 1.67 1.45 2.02 2.07 1.36 3.04
25.0% 4.57 4.94 5.18 6.17 3.84 3.47 4.49 5.97 3.14 7.94
50.0% 12.66 14.15 17.99 25.42 13.98 13.19 17.58 24.99 8.63 40.67
75.0% 38.89 46.00 54.30 131.70 35.60 38.84 45.34 123.14 22.17 169.35
90.0% 82.42 183.07 342.86 668.56 233.33 261.14 213.24 790.84 65.37 899.97
max 900.00 900.00 900.00 900.00 900.00 900.00 900.00 900.00 899.95 900.00
geometric mean shift: 10.0

Performance with respect to virt. best:
Tolerance: relative 0.1 absolute 0.1
Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. worst
count 302.00 302.00 302.00 302.00 302.00 302.00 302.00 302.00 302.00
arith. mean 1.81 2.14 2.76 5.21 2.19 2.12 2.16 5.47 6.98
arith. std. 1.63 1.92 3.32 7.58 4.45 2.85 2.31 8.79 9.99
min 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
10.0% 1.00 1.02 1.21 1.24 1.00 1.00 1.12 1.21 1.65
25.0% 1.00 1.30 1.37 1.54 1.08 1.00 1.29 1.53 2.08
50.0% 1.14 1.58 1.73 2.40 1.34 1.28 1.52 2.40 3.52
75.0% 1.64 2.27 2.57 4.71 1.87 1.91 2.15 4.95 7.26
90.0% 4.02 3.38 5.20 12.03 3.06 3.47 3.39 13.75 15.69
max 9.86 20.93 28.11 53.45 67.11 26.94 23.21 86.67 86.67
better 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
close 151.00 44.00 18.00 21.00 90.00 107.00 29.00 19.00 4.00
worse 151.00 258.00 284.00 281.00 212.00 195.00 273.00 283.00 298.00


SolverTime
Filter: no fail

Attribute values were projected onto interval [0.1, 900.0].
Missing values and values for failed instances substituted by 900.0 .


SolverTime
Filter: time >= 10.0 by at least one solver and no fail for all solvers

Attribute values were projected onto interval [0.1, 900.0].
Missing values and values for failed instances substituted by 900.0 .


SolverTime
Filter: gap <= 0.1% and not failed

Attribute values were projected onto interval [0.1, 900.0].
Missing values and values for failed instances substituted by 900.0 .


SolverTime
Filter: gap <= 1% and not failed

Attribute values were projected onto interval [0.1, 900.0].
Missing values and values for failed instances substituted by 900.0 .


SolverTime
Filter: gap <= 10% and not failed

Attribute values were projected onto interval [0.1, 900.0].
Missing values and values for failed instances substituted by 900.0 .


SolverTime
Filter: within 0.1% of known optimal value and not failed

Attribute values were projected onto interval [0.1, 900.0].
Missing values and values for failed instances substituted by 900.0 .


SolverTime
Filter: within 1% of known optimal value and not failed

Attribute values were projected onto interval [0.1, 900.0].
Missing values and values for failed instances substituted by 900.0 .


SolverTime
Filter: within 10% of known optimal value and not failed

Attribute values were projected onto interval [0.1, 900.0].
Missing values and values for failed instances substituted by 900.0 .


NumberOfIterations
Filter: no fail by all solver

Attribute values were projected onto interval [1, inf].

Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. best virt. worst
count 405.00 405.00 405.00 405.00 405.00 405.00 405.00 405.00 405.00 405.00
arith. mean 56.46 13.45 12.54 11.10 15.55 13.84 14.78 11.71 8.08 57.68
arith. std. 217.21 27.73 21.07 20.45 33.03 29.59 29.67 20.40 17.28 216.95
geom. mean 11.10 6.82 6.84 6.02 7.61 6.74 7.25 6.34 4.33 13.32
geom. std. 4.79 2.90 2.89 2.79 2.99 2.99 3.00 2.88 2.69 4.30
min 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
10.0% 1.00 2.00 1.00 1.00 2.00 1.00 2.00 1.00 1.00 2.00
25.0% 4.00 4.00 4.00 3.00 4.00 4.00 4.00 4.00 2.00 6.00
50.0% 9.00 7.00 7.00 6.00 8.00 7.00 8.00 7.00 4.00 11.00
75.0% 23.00 12.00 12.00 10.00 13.00 12.00 13.00 12.00 8.00 24.00
90.0% 95.60 20.60 24.20 20.00 26.00 22.00 25.00 22.00 14.00 95.60
max 2934.00 345.00 211.00 233.00 386.00 295.00 266.00 221.00 211.00 2934.00

Performance with respect to virt. best:
Tolerance: relative 0.1
Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. worst
count 405.00 405.00 405.00 405.00 405.00 405.00 405.00 405.00 405.00
arith. mean 12.10 2.04 1.94 1.60 2.88 2.43 2.40 1.72 12.47
arith. std. 83.40 2.61 2.22 1.45 8.94 8.21 5.90 1.73 83.36
min 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
10.0% 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
25.0% 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.50
50.0% 1.67 1.33 1.33 1.20 1.50 1.33 1.40 1.25 2.12
75.0% 4.00 2.00 2.00 1.67 2.22 2.00 2.00 1.89 5.00
90.0% 14.45 3.12 3.31 2.50 4.00 3.00 3.96 3.00 14.45
max 1467.00 30.00 28.67 22.00 139.50 120.00 101.00 23.67 1467.00
better 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
close 129.00 162.00 138.00 173.00 110.00 142.00 123.00 167.00 51.00
worse 276.00 243.00 267.00 232.00 295.00 263.00 282.00 238.00 354.00


NumberOfIterations
Filter: time >= 10.0 by at least one solver and no fail for all solvers

Attribute values were projected onto interval [1, inf].

Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. best virt. worst
count 320.00 320.00 320.00 320.00 320.00 320.00 320.00 320.00 320.00 320.00
arith. mean 70.25 16.23 15.05 13.21 18.83 16.70 17.88 13.97 9.58 71.68
arith. std. 242.56 30.57 23.01 22.49 36.43 32.67 32.66 22.37 19.13 242.21
geom. mean 16.09 9.24 9.27 7.83 10.51 9.11 9.91 8.29 5.46 19.72
geom. std. 4.39 2.50 2.46 2.48 2.52 2.59 2.58 2.58 2.52 3.68
min 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
10.0% 3.00 3.00 3.00 3.00 4.00 3.00 4.00 3.00 2.00 5.90
25.0% 6.00 5.00 6.00 5.00 6.00 6.00 6.00 5.00 3.00 9.00
50.0% 13.00 9.00 8.00 7.00 9.00 8.00 8.00 8.00 5.00 14.00
75.0% 37.00 13.00 15.00 12.00 16.00 14.00 16.00 15.00 9.00 40.00
90.0% 103.50 32.10 30.10 24.20 31.00 25.00 31.00 25.00 15.00 103.50
max 2934.00 345.00 211.00 233.00 386.00 295.00 266.00 221.00 211.00 2934.00

Performance with respect to virt. best:
Tolerance: relative 0.1
Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. worst
count 320.00 320.00 320.00 320.00 320.00 320.00 320.00 320.00 320.00
arith. mean 14.79 2.23 2.12 1.66 3.27 2.74 2.69 1.81 15.21
arith. std. 93.66 2.88 2.45 1.59 10.02 9.21 6.61 1.90 93.61
min 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
10.0% 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.28
25.0% 1.00 1.00 1.10 1.00 1.20 1.09 1.17 1.00 1.67
50.0% 2.00 1.49 1.40 1.25 1.65 1.40 1.50 1.33 2.50
75.0% 5.25 2.00 2.14 1.67 2.40 2.00 2.26 1.95 6.00
90.0% 16.34 3.59 3.85 2.55 4.50 3.52 4.25 3.00 16.34
max 1467.00 30.00 28.67 22.00 139.50 120.00 101.00 23.67 1467.00
better 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
close 84.00 102.00 82.00 117.00 56.00 87.00 68.00 116.00 16.00
worse 236.00 218.00 238.00 203.00 264.00 233.00 252.00 204.00 304.00


NumberOfIterations
Filter: within 0.1% of known optimal value and not failed

Attribute values were projected onto interval [1, inf].

Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. best virt. worst
count 327.00 319.00 310.00 309.00 334.00 323.00 322.00 312.00 351.00 283.00
arith. mean 52.88 14.92 13.67 12.65 17.10 15.53 16.61 13.38 10.39 57.18
arith. std. 215.08 38.28 22.51 22.72 37.62 32.33 37.18 23.13 19.77 230.18
geom. mean 10.58 6.66 7.06 6.38 7.62 7.02 7.30 6.91 5.25 11.60
geom. std. 4.88 3.08 3.11 3.02 3.22 3.24 3.26 3.02 2.95 4.68
min 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
10.0% 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
25.0% 4.00 3.00 4.00 3.00 4.00 3.00 4.00 4.00 3.00 5.00
50.0% 9.00 7.00 7.50 6.00 8.00 7.00 8.00 7.00 5.00 10.00
75.0% 22.00 12.00 15.00 11.00 15.00 13.00 14.00 15.00 10.00 22.50
90.0% 96.80 21.20 29.00 25.20 28.70 25.80 28.00 23.90 20.00 99.60
max 2934.00 463.00 211.00 233.00 386.00 295.00 403.00 221.00 211.00 2934.00

Performance with respect to virt. best:
Tolerance: relative 0.1
Data LP/NLP.0 RLP/NLP-ℒ₁.0 RLP/NLP-ℒ₁/ℓ₂².0 RLP/NLP-ℒ₂.0 RLP/NLP-ℓ₁.0 RLP/NLP-ℓ₂².0 RLP/NLP-ℓ∞.0 RLP/NLP-∇²ℒ.0 virt. worst
count 327.00 319.00 310.00 309.00 334.00 323.00 322.00 312.00 283.00
arith. mean 12.10 1.54 1.77 1.47 2.63 2.41 2.15 1.78 13.93
arith. std. 92.25 1.09 1.96 1.33 9.64 9.07 6.36 1.92 99.06
min 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
10.0% 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
25.0% 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.38
50.0% 1.43 1.18 1.26 1.17 1.33 1.25 1.30 1.26 2.00
75.0% 2.79 1.67 1.83 1.50 1.97 1.74 1.80 1.89 3.55
90.0% 10.40 2.14 3.00 2.19 3.00 2.86 3.00 3.00 11.44
max 1467.00 9.45 28.67 22.00 139.50 120.00 101.00 23.67 1467.00
better 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
close 120.00 152.00 124.00 140.00 117.00 126.00 119.00 123.00 45.00
worse 207.00 167.00 186.00 169.00 217.00 197.00 203.00 189.00 238.00


NumberOfIterations
Filter: within 0.1% of known optimal value and not failed

Attribute values were projected onto interval [1, inf].