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 135.00 135.00 135.00 135.00 135.00 135.00 135.00 135.00 135.00 135.00
arith. mean 263.76 255.00 252.74 265.23 252.26 245.85 249.85 271.13 218.60 311.40
arith. std. 376.32 381.20 378.96 375.59 383.59 377.67 374.36 379.42 357.63 391.15
geom. mean 51.12 39.24 42.54 47.63 36.71 34.99 42.44 52.62 27.37 79.86
geom. std. 8.49 8.80 8.40 8.70 9.06 9.43 8.38 8.27 9.75 7.34
sh.geom. mean 73.82 58.55 61.85 69.50 56.06 55.00 61.74 74.28 45.91 104.09
sh.geom. std. 4.88 5.28 5.03 5.18 5.27 5.22 5.00 5.02 5.17 4.70
min 0.34 0.28 0.26 0.28 0.41 0.33 0.23 0.26 0.23 0.41
10.0% 2.50 3.40 3.13 3.36 2.18 1.89 2.99 3.26 1.58 4.52
25.0% 15.50 8.21 13.16 7.64 11.34 10.58 14.24 15.55 6.01 27.98
50.0% 47.02 23.08 27.21 33.50 22.12 22.60 27.65 37.61 18.00 62.05
75.0% 692.68 725.31 589.53 636.29 746.46 520.76 592.06 809.72 230.38 900.00
90.0% 900.00 900.00 900.00 900.00 900.00 900.00 900.00 900.00 899.85 900.00
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 135.00 135.00 135.00 135.00 135.00 135.00 135.00 135.00 135.00
arith. mean 2.67 1.59 1.67 2.20 1.46 1.35 1.74 2.51 4.08
arith. std. 2.94 0.91 0.70 2.14 0.78 0.55 0.98 3.15 4.11
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 1.11 1.00 1.00 1.00 1.00 1.08 1.66
50.0% 1.33 1.29 1.49 1.48 1.16 1.15 1.38 1.82 2.80
75.0% 3.48 1.81 1.99 2.54 1.62 1.47 2.02 2.61 5.12
90.0% 6.38 2.60 2.53 3.74 2.18 2.01 2.94 4.33 8.30
max 22.78 6.29 4.72 15.30 6.75 4.49 6.85 31.35 31.35
better 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
close 57.00 56.00 35.00 45.00 66.00 65.00 42.00 37.00 28.00
worse 78.00 79.00 100.00 90.00 69.00 70.00 93.00 98.00 107.00


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 118.00 118.00 118.00 118.00 118.00 118.00 118.00 118.00 118.00 118.00
arith. mean 178.60 192.50 192.07 205.17 191.68 188.67 192.68 205.54 163.68 226.60
arith. std. 315.24 345.22 342.21 343.85 347.87 343.65 340.69 343.23 320.03 342.99
geom. mean 34.37 27.06 29.79 33.51 25.35 24.27 30.14 36.97 18.59 56.33
geom. std. 7.30 7.73 7.49 7.92 7.98 8.40 7.55 7.46 8.49 6.64
sh.geom. mean 50.38 40.97 44.02 49.97 39.36 38.99 44.63 53.17 31.81 74.59
sh.geom. std. 4.10 4.63 4.45 4.68 4.63 4.62 4.46 4.48 4.51 4.16
min 0.34 0.28 0.26 0.28 0.41 0.33 0.23 0.26 0.23 0.41
10.0% 2.33 3.06 2.85 3.07 2.11 1.64 2.75 3.09 1.54 4.15
25.0% 9.68 6.44 9.48 6.45 7.76 7.79 7.79 10.50 5.10 24.45
50.0% 37.05 19.34 24.84 25.25 18.58 19.00 23.80 25.73 13.04 56.88
75.0% 80.45 63.53 51.82 157.44 40.16 38.63 47.95 121.26 31.83 174.22
90.0% 899.48 900.00 900.00 900.00 900.00 900.00 900.00 900.00 899.48 900.00
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 118.00 118.00 118.00 118.00 118.00 118.00 118.00 118.00 118.00
arith. mean 2.50 1.60 1.71 2.25 1.47 1.38 1.79 2.58 4.03
arith. std. 2.25 0.83 0.69 2.06 0.66 0.55 0.90 3.25 3.81
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 1.21 1.02 1.00 1.00 1.13 1.25 1.84
50.0% 1.34 1.35 1.52 1.52 1.20 1.21 1.46 1.86 2.90
75.0% 3.51 1.85 2.04 2.66 1.65 1.52 2.26 2.66 5.02
90.0% 5.90 2.52 2.55 3.91 2.24 2.02 2.97 4.35 8.07
max 9.86 5.42 4.72 15.30 4.49 4.49 4.68 31.35 31.35
better 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
close 47.00 43.00 24.00 35.00 53.00 51.00 27.00 27.00 18.00
worse 71.00 75.00 94.00 83.00 65.00 67.00 91.00 91.00 100.00


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 93.00 93.00 93.00 93.00 93.00 93.00 93.00 93.00 93.00 93.00
arith. mean 225.88 243.40 242.89 259.38 242.57 238.82 243.70 259.94 207.21 286.40
arith. std. 340.16 373.09 369.60 369.24 376.22 371.73 367.69 368.37 348.15 364.07
geom. mean 72.68 51.15 58.55 65.37 50.40 49.67 60.01 75.38 37.01 119.72
geom. std. 4.43 6.05 5.38 5.91 5.86 5.97 5.31 5.00 6.40 3.71
sh.geom. mean 82.03 63.55 69.38 79.78 61.71 61.45 70.71 86.48 48.89 127.17
sh.geom. std. 3.66 4.62 4.30 4.47 4.58 4.55 4.28 4.11 4.59 3.36
min 2.33 3.85 1.38 3.71 2.34 0.71 3.30 5.27 0.71 19.56
10.0% 16.73 8.49 13.48 7.53 11.36 10.64 14.47 15.65 6.34 28.24
25.0% 27.05 12.45 18.80 13.84 14.58 15.30 20.48 20.36 10.60 47.02
50.0% 49.46 25.10 28.47 43.59 23.61 23.18 30.71 47.65 18.47 69.44
75.0% 200.36 360.41 499.05 475.48 521.06 425.80 575.69 508.91 200.36 670.41
90.0% 899.69 900.00 900.00 900.00 900.00 900.00 900.00 900.00 899.68 900.00
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 93.00 93.00 93.00 93.00 93.00 93.00 93.00 93.00 93.00
arith. mean 2.74 1.50 1.69 2.28 1.47 1.43 1.82 2.74 4.44
arith. std. 2.44 0.75 0.68 2.28 0.68 0.59 0.97 3.62 4.17
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 1.17 1.00 1.00 1.00 1.08 1.09 1.79
50.0% 1.34 1.25 1.49 1.45 1.20 1.23 1.42 1.87 3.42
75.0% 4.24 1.61 2.07 2.61 1.63 1.56 2.28 2.78 5.83
90.0% 6.45 2.34 2.54 4.08 2.33 2.06 3.24 4.48 8.67
max 9.86 5.42 4.49 15.30 4.49 4.49 4.68 31.35 31.35
better 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
close 38.00 39.00 20.00 32.00 43.00 36.00 24.00 25.00 18.00
worse 55.00 54.00 73.00 61.00 50.00 57.00 69.00 68.00 75.00


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 91.00 91.00 91.00 91.00 91.00 91.00 91.00 91.00 91.00 91.00
arith. mean 36.65 38.33 37.20 53.72 33.35 32.85 36.77 51.76 18.77 76.47
arith. std. 44.14 123.61 109.94 135.93 110.12 106.93 99.99 119.34 39.83 141.27
geom. mean 17.95 12.56 14.34 16.68 11.71 11.43 14.58 18.77 8.40 31.98
geom. std. 4.20 3.73 3.69 4.44 3.64 3.83 3.74 4.24 3.55 4.36
sh.geom. mean 24.69 16.86 18.95 23.14 15.74 15.73 19.34 25.30 11.72 41.18
sh.geom. std. 2.13 2.17 2.07 2.55 2.03 2.04 2.08 2.41 1.82 2.56
min 0.34 0.28 0.26 0.28 0.41 0.33 0.23 0.26 0.23 0.41
10.0% 1.93 2.65 2.24 3.08 1.76 1.68 2.43 2.69 1.50 3.94
25.0% 8.49 6.00 6.76 5.99 6.49 5.90 6.13 7.10 4.96 21.30
50.0% 27.56 13.43 19.32 15.74 15.02 15.38 20.56 21.18 10.98 48.27
75.0% 49.80 25.26 28.78 45.59 23.70 23.28 30.87 49.26 18.47 70.57
90.0% 68.41 48.38 38.19 94.20 30.85 33.82 45.40 96.43 25.23 141.02
max 293.82 900.00 899.34 899.78 855.54 899.75 749.50 899.76 293.82 900.00
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 91.00 91.00 91.00 91.00 91.00 91.00 91.00 91.00 91.00
arith. mean 2.87 1.61 1.78 2.47 1.48 1.42 1.90 2.87 4.73
arith. std. 2.40 0.71 0.55 2.24 0.55 0.46 0.89 3.60 4.03
min 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.43
10.0% 1.00 1.00 1.20 1.00 1.00 1.00 1.12 1.24 1.83
25.0% 1.10 1.09 1.38 1.27 1.04 1.07 1.29 1.51 2.31
50.0% 1.51 1.40 1.64 1.75 1.28 1.30 1.60 2.14 3.46
75.0% 4.24 1.87 2.07 2.71 1.75 1.58 2.38 2.74 5.86
90.0% 6.53 2.36 2.54 4.00 2.17 2.03 2.99 4.47 8.75
max 9.86 5.42 3.37 15.30 3.29 3.61 4.68 31.35 31.35
better 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
close 24.00 25.00 6.00 17.00 33.00 28.00 9.00 8.00 0.00
worse 67.00 66.00 85.00 74.00 58.00 63.00 82.00 83.00 91.00


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 101.00 101.00 101.00 101.00 101.00 101.00 101.00 101.00 101.00 101.00
arith. mean 67.20 81.04 79.75 94.93 76.21 75.59 79.70 93.06 51.00 115.53
arith. std. 155.92 221.92 215.45 225.76 216.24 214.85 211.31 217.42 158.13 225.07
geom. mean 20.19 15.18 16.95 19.45 13.97 13.34 17.16 21.75 9.87 35.44
geom. std. 5.07 4.95 4.90 5.55 4.97 5.34 4.96 5.27 4.94 5.16
sh.geom. mean 28.93 21.75 23.90 28.30 20.38 20.25 24.31 30.59 15.40 46.87
sh.geom. std. 2.68 2.97 2.85 3.24 2.86 2.88 2.86 3.08 2.59 3.10
min 0.34 0.28 0.26 0.28 0.41 0.33 0.23 0.26 0.23 0.41
10.0% 2.06 2.93 2.24 3.01 1.99 1.50 2.43 2.85 1.45 3.94
25.0% 7.99 5.67 5.67 5.58 4.98 4.92 5.01 5.83 3.39 19.56
50.0% 27.83 13.52 19.42 17.75 15.13 15.53 20.68 21.65 11.09 48.30
75.0% 53.33 28.73 31.42 56.98 25.55 24.88 32.00 54.36 19.34 82.48
90.0% 91.66 87.66 57.22 188.71 46.76 41.90 57.14 134.49 39.12 194.45
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 101.00 101.00 101.00 101.00 101.00 101.00 101.00 101.00 101.00
arith. mean 2.75 1.69 1.82 2.44 1.52 1.42 1.91 2.81 4.51
arith. std. 2.34 0.86 0.68 2.17 0.65 0.55 0.91 3.45 3.91
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 1.15 1.00 1.00 1.00 1.00 1.14 1.76
25.0% 1.01 1.08 1.37 1.25 1.03 1.03 1.28 1.48 2.18
50.0% 1.45 1.40 1.64 1.74 1.28 1.27 1.60 2.07 3.26
75.0% 4.21 1.91 2.08 2.73 1.81 1.57 2.37 2.76 5.49
90.0% 6.14 2.70 2.62 4.10 2.37 2.03 2.99 4.49 8.38
max 9.86 5.42 4.72 15.30 4.49 4.49 4.68 31.35 31.35
better 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
close 31.00 28.00 9.00 20.00 38.00 35.00 12.00 11.00 3.00
worse 70.00 73.00 92.00 81.00 63.00 66.00 89.00 90.00 98.00


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 102.00 102.00 102.00 102.00 102.00 102.00 102.00 102.00 102.00 102.00
arith. mean 71.94 86.81 83.86 98.66 80.58 79.03 84.91 96.61 54.68 120.97
arith. std. 162.36 228.40 218.36 227.78 219.63 216.58 216.74 219.29 161.66 230.59
geom. mean 20.86 15.76 17.52 20.06 14.48 13.80 17.77 22.41 10.25 36.47
geom. std. 5.20 5.13 5.03 5.67 5.13 5.48 5.12 5.37 5.11 5.25
sh.geom. mean 29.96 22.72 24.81 29.27 21.25 21.06 25.30 31.57 16.12 48.27
sh.geom. std. 2.76 3.08 2.93 3.30 2.96 2.96 2.96 3.14 2.68 3.16
min 0.34 0.28 0.26 0.28 0.41 0.33 0.23 0.26 0.23 0.41
10.0% 2.09 2.94 2.27 3.02 2.00 1.51 2.46 2.85 1.45 3.94
25.0% 8.00 5.69 5.89 5.64 5.15 5.12 5.17 6.10 3.77 19.77
50.0% 27.86 14.35 19.84 18.98 15.91 15.87 20.89 21.93 11.12 48.87
75.0% 55.25 28.84 31.85 59.77 25.84 25.30 32.15 57.93 19.41 85.62
90.0% 92.64 113.93 74.82 189.72 67.75 73.53 91.02 140.36 62.52 202.03
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 102.00 102.00 102.00 102.00 102.00 102.00 102.00 102.00 102.00
arith. mean 2.74 1.69 1.81 2.43 1.51 1.42 1.90 2.80 4.48
arith. std. 2.33 0.86 0.68 2.16 0.64 0.55 0.91 3.44 3.90
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 1.15 1.00 1.00 1.00 1.01 1.11 1.75
25.0% 1.01 1.08 1.36 1.24 1.04 1.03 1.28 1.48 2.16
50.0% 1.44 1.41 1.63 1.71 1.28 1.26 1.58 2.06 3.16
75.0% 4.21 1.90 2.08 2.72 1.80 1.57 2.37 2.75 5.42
90.0% 6.12 2.69 2.62 4.09 2.35 2.03 2.99 4.49 8.36
max 9.86 5.42 4.72 15.30 4.49 4.49 4.68 31.35 31.35
better 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
close 31.00 28.00 9.00 20.00 38.00 36.00 12.00 12.00 3.00
worse 71.00 74.00 93.00 82.00 64.00 66.00 90.00 90.00 99.00


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 99.00 99.00 99.00 99.00 99.00 99.00 99.00 99.00 99.00 99.00
arith. mean 69.91 85.48 87.16 102.70 86.37 83.83 86.61 103.33 54.15 125.86
arith. std. 158.21 225.64 223.70 234.24 233.27 225.64 218.85 233.67 160.70 240.04
geom. mean 20.82 15.77 17.90 20.50 14.73 14.08 18.14 23.16 10.35 37.40
geom. std. 5.18 5.11 5.13 5.76 5.28 5.63 5.15 5.45 5.11 5.32
sh.geom. mean 29.93 22.71 25.45 29.95 21.75 21.62 25.79 32.55 16.26 49.53
sh.geom. std. 2.73 3.06 2.97 3.36 3.04 3.03 2.98 3.21 2.67 3.19
min 0.34 0.28 0.26 0.28 0.41 0.33 0.23 0.26 0.23 0.41
10.0% 2.04 2.87 2.23 2.99 1.94 1.50 2.43 2.87 1.44 3.87
25.0% 8.47 5.72 6.33 5.70 5.32 5.51 6.13 7.10 4.96 21.30
50.0% 27.89 15.19 20.27 20.21 16.70 16.21 21.11 22.20 11.16 49.45
75.0% 54.61 28.80 33.19 61.38 25.74 25.16 32.10 56.74 19.39 84.57
90.0% 102.07 125.10 93.00 192.44 83.68 90.04 111.19 148.20 78.99 207.39
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 99.00 99.00 99.00 99.00 99.00 99.00 99.00 99.00 99.00
arith. mean 2.73 1.67 1.83 2.46 1.54 1.44 1.93 2.86 4.55
arith. std. 2.37 0.85 0.69 2.19 0.69 0.57 0.92 3.48 3.94
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 1.16 1.00 1.00 1.00 1.00 1.20 1.75
25.0% 1.00 1.09 1.37 1.27 1.03 1.03 1.29 1.49 2.17
50.0% 1.38 1.40 1.64 1.74 1.28 1.27 1.60 2.10 3.42
75.0% 4.23 1.88 2.12 2.77 1.81 1.58 2.39 2.79 5.54
90.0% 6.22 2.51 2.65 4.17 2.51 2.05 3.06 4.54 8.45
max 9.86 5.42 4.72 15.30 4.49 4.49 4.68 31.35 31.35
better 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
close 32.00 27.00 8.00 19.00 38.00 34.00 12.00 10.00 3.00
worse 67.00 72.00 91.00 80.00 61.00 65.00 87.00 89.00 96.00


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 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00
arith. mean 74.72 91.33 91.28 106.43 90.72 87.25 91.85 106.85 57.87 131.31
arith. std. 164.59 231.99 226.35 236.02 236.13 227.09 223.97 235.13 164.14 244.95
geom. mean 21.51 16.38 18.51 21.16 15.26 14.57 18.79 23.86 10.74 38.49
geom. std. 5.31 5.29 5.26 5.87 5.43 5.77 5.30 5.55 5.29 5.41
sh.geom. mean 31.00 23.72 26.40 30.96 22.65 22.46 26.82 33.58 17.01 51.00
sh.geom. std. 2.81 3.16 3.05 3.42 3.13 3.10 3.07 3.27 2.76 3.26
min 0.34 0.28 0.26 0.28 0.41 0.33 0.23 0.26 0.23 0.41
10.0% 2.05 2.90 2.24 3.00 1.96 1.50 2.43 2.88 1.44 3.90
25.0% 8.72 5.74 6.66 5.76 5.50 5.81 6.38 7.20 4.98 21.75
50.0% 28.01 15.37 20.28 20.55 16.75 16.29 21.34 22.24 11.49 49.46
75.0% 56.06 28.96 34.45 62.12 25.96 25.65 32.76 59.40 19.58 86.91
90.0% 147.31 160.63 158.70 205.13 139.82 145.35 178.55 204.74 135.24 253.80
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 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00
arith. mean 2.72 1.67 1.83 2.44 1.53 1.43 1.92 2.84 4.52
arith. std. 2.36 0.85 0.69 2.18 0.68 0.57 0.91 3.47 3.93
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 1.16 1.00 1.00 1.00 1.00 1.14 1.74
25.0% 1.00 1.09 1.37 1.25 1.03 1.03 1.29 1.48 2.14
50.0% 1.38 1.41 1.63 1.71 1.27 1.26 1.60 2.08 3.34
75.0% 4.22 1.88 2.11 2.75 1.81 1.57 2.39 2.79 5.51
90.0% 6.18 2.49 2.63 4.14 2.50 2.05 3.02 4.52 8.42
max 9.86 5.42 4.72 15.30 4.49 4.49 4.68 31.35 31.35
better 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
close 32.00 27.00 8.00 19.00 38.00 35.00 12.00 11.00 3.00
worse 68.00 73.00 92.00 81.00 62.00 65.00 88.00 89.00 97.00


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 102.00 102.00 102.00 102.00 102.00 102.00 102.00 102.00 102.00 102.00
arith. mean 73.40 89.65 89.60 104.44 89.05 85.64 90.13 104.83 56.80 128.89
arith. std. 163.22 229.99 224.41 234.09 234.08 225.12 222.07 233.23 162.69 243.13
geom. mean 21.06 16.01 18.07 20.55 14.94 14.24 18.23 23.01 10.47 37.30
geom. std. 5.26 5.25 5.22 5.84 5.38 5.72 5.29 5.57 5.25 5.40
sh.geom. mean 30.31 23.21 25.80 30.16 22.17 21.96 26.14 32.62 16.62 49.53
sh.geom. std. 2.80 3.14 3.04 3.41 3.11 3.09 3.06 3.26 2.75 3.26
min 0.34 0.28 0.26 0.28 0.41 0.33 0.23 0.26 0.23 0.41
10.0% 2.09 2.94 2.27 3.02 2.00 1.51 2.46 2.85 1.45 3.94
25.0% 8.00 5.69 5.89 5.64 5.15 5.12 5.17 6.10 3.77 19.77
50.0% 27.86 14.35 19.84 18.98 15.91 15.87 20.89 21.93 11.12 48.87
75.0% 55.25 28.84 33.78 61.72 25.84 25.30 32.15 57.93 19.41 85.62
90.0% 138.54 153.96 149.78 201.57 131.26 135.54 168.59 173.35 127.55 223.20
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 102.00 102.00 102.00 102.00 102.00 102.00 102.00 102.00 102.00
arith. mean 2.71 1.67 1.83 2.43 1.54 1.44 1.91 2.81 4.48
arith. std. 2.34 0.85 0.68 2.16 0.68 0.57 0.91 3.44 3.90
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 1.16 1.00 1.00 1.00 1.01 1.11 1.75
25.0% 1.00 1.08 1.37 1.24 1.04 1.03 1.28 1.48 2.16
50.0% 1.41 1.41 1.66 1.71 1.28 1.28 1.58 2.06 3.16
75.0% 4.21 1.88 2.10 2.72 1.82 1.59 2.38 2.77 5.42
90.0% 6.12 2.61 2.62 4.09 2.47 2.04 2.99 4.49 8.36
max 9.86 5.42 4.72 15.30 4.49 4.49 4.68 31.35 31.35
better 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
close 32.00 28.00 8.00 20.00 38.00 35.00 12.00 12.00 3.00
worse 70.00 74.00 94.00 82.00 64.00 67.00 90.00 90.00 99.00


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 118.00 118.00 118.00 118.00 118.00 118.00 118.00 118.00 118.00 118.00
arith. mean 115.49 16.47 17.56 14.53 26.58 23.58 22.67 18.11 11.12 115.92
arith. std. 345.33 43.22 32.05 31.54 55.09 48.80 45.18 32.37 28.56 345.19
geom. mean 25.21 6.60 8.31 6.83 10.63 9.41 9.26 8.94 4.75 27.23
geom. std. 5.26 2.85 3.09 2.79 3.30 3.36 3.33 2.98 2.78 4.87
min 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
10.0% 3.70 3.00 2.00 2.00 3.00 2.70 3.00 3.00 2.00 5.00
25.0% 7.00 3.25 4.00 4.00 5.00 4.25 4.00 4.00 3.00 8.00
50.0% 21.50 5.00 7.50 6.00 9.00 8.00 8.00 8.00 4.00 21.50
75.0% 85.00 9.00 17.00 9.75 18.00 17.00 19.00 18.00 6.75 85.00
90.0% 154.70 17.60 30.90 22.60 48.80 42.20 39.00 32.90 13.60 154.70
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 118.00 118.00 118.00 118.00 118.00 118.00 118.00 118.00 118.00
arith. mean 31.55 1.58 2.22 1.70 5.01 4.33 3.48 2.41 31.67
arith. std. 152.10 1.05 2.81 2.02 15.98 14.83 10.35 2.89 152.07
min 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
10.0% 1.24 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.60
25.0% 1.64 1.00 1.00 1.00 1.33 1.29 1.15 1.21 2.00
50.0% 4.20 1.03 1.50 1.28 2.00 1.71 1.60 1.67 4.20
75.0% 12.25 1.71 2.33 1.75 3.00 2.50 2.72 2.53 12.25
90.0% 22.40 2.62 4.00 2.51 4.67 4.00 4.28 4.00 22.40
max 1467.00 6.67 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 11.00 61.00 33.00 45.00 17.00 19.00 28.00 23.00 4.00
worse 107.00 57.00 85.00 73.00 101.00 99.00 90.00 95.00 114.00


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 93.00 93.00 93.00 93.00 93.00 93.00 93.00 93.00 93.00 93.00
arith. mean 145.09 19.89 21.37 17.41 32.70 28.98 27.74 21.90 13.45 145.43
arith. std. 384.02 48.15 35.16 34.99 60.66 53.74 49.72 35.54 31.79 383.90
geom. mean 40.56 8.03 11.20 8.50 14.64 13.10 12.49 11.64 5.97 42.87
geom. std. 4.52 2.86 2.81 2.67 3.02 3.00 3.09 2.81 2.69 4.19
min 2.00 2.00 1.00 2.00 2.00 1.00 2.00 1.00 1.00 4.00
10.0% 6.00 3.00 4.00 3.00 5.00 4.00 4.00 3.20 3.00 7.20
25.0% 12.00 4.00 5.00 5.00 7.00 7.00 5.00 5.00 3.00 12.00
50.0% 48.00 7.00 9.00 7.00 10.00 10.00 9.00 10.00 5.00 48.00
75.0% 100.00 11.00 20.00 11.00 26.00 19.00 25.00 20.00 8.00 100.00
90.0% 225.00 32.00 39.80 36.40 78.20 57.00 58.60 45.00 19.80 225.00
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 93.00 93.00 93.00 93.00 93.00 93.00 93.00 93.00 93.00
arith. mean 39.28 1.50 2.42 1.70 5.87 5.10 3.97 2.56 39.37
arith. std. 170.68 0.94 3.11 2.22 17.92 16.63 11.62 3.20 170.66
min 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.33
10.0% 1.33 1.00 1.00 1.00 1.14 1.16 1.00 1.00 1.67
25.0% 2.00 1.00 1.25 1.00 1.33 1.33 1.25 1.33 2.36
50.0% 7.33 1.00 1.60 1.33 2.00 2.00 1.73 1.67 7.33
75.0% 15.00 1.61 2.67 1.67 3.00 2.67 3.00 2.55 15.00
90.0% 27.02 2.32 4.00 2.09 5.27 4.23 4.93 4.45 27.02
max 1467.00 6.67 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 5.00 50.00 19.00 33.00 8.00 7.00 18.00 15.00 0.00
worse 88.00 43.00 74.00 60.00 85.00 86.00 75.00 78.00 93.00


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 103.00 103.00 104.00 107.00 115.00 117.00 106.00 114.00 119.00 99.00
arith. mean 127.82 22.71 20.15 16.65 29.77 23.87 28.98 19.31 11.98 131.20
arith. std. 368.22 63.52 33.85 33.45 59.46 48.92 59.69 33.14 28.60 375.06
geom. mean 24.84 7.43 9.56 7.57 11.44 9.63 11.07 9.67 5.31 27.14
geom. std. 5.83 3.20 3.26 2.99 3.48 3.36 3.55 2.97 2.81 5.43
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 2.00 2.60 3.00 2.60 3.00 3.00 2.00 5.00
25.0% 7.00 4.00 4.75 4.00 5.00 5.00 4.00 5.00 3.00 8.00
50.0% 17.00 6.00 9.00 6.00 9.00 9.00 8.00 8.00 5.00 17.00
75.0% 96.50 11.00 20.00 11.00 21.00 17.00 24.75 18.00 7.50 94.00
90.0% 167.40 31.80 39.20 39.00 66.60 42.40 58.00 44.10 19.40 183.00
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 103.00 103.00 104.00 107.00 115.00 117.00 106.00 114.00 99.00
arith. mean 34.30 1.58 2.30 1.64 4.99 4.23 3.75 2.41 35.64
arith. std. 162.67 1.20 2.97 2.10 16.20 14.91 10.91 2.94 165.81
min 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
10.0% 1.04 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.58
25.0% 1.60 1.00 1.00 1.00 1.27 1.20 1.20 1.18 2.00
50.0% 3.50 1.02 1.46 1.20 1.80 1.50 1.63 1.67 3.25
75.0% 12.25 1.67 2.52 1.67 3.00 2.33 3.00 2.53 12.62
90.0% 20.80 2.41 4.00 2.17 4.67 4.00 4.83 4.00 21.95
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 11.00 54.00 30.00 46.00 20.00 25.00 22.00 23.00 4.00
worse 92.00 49.00 74.00 61.00 95.00 92.00 84.00 91.00 95.00


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

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