Statistics for category Solution Quality

Attribute Filter
Gap no fail by all solver
  time >= 10.0 by at least one solver and no fail for all solvers
  no fail
  gap <= 0.1% and not failed
  gap <= 1% and not failed
  gap <= 10% and not failed
PrimalGap no fail by all solver and known optimal value
  time >= 10.0 by at least one solver and no fail for all solvers and known optimal value
  no fail
  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
DualGap no fail by all solver and known optimal value
  time >= 10.0 by at least one solver and no fail for all solvers and known optimal value
  dual gap <= 0.1% and not failed
  dual gap <= 1% and not failed
  dual gap <= 10% and not failed
PrimalBound no fail by all solver
  time >= 10.0 by at least one solver and no fail for all solvers
DualBound no fail by all solver
  time >= 10.0 by at least one solver and no fail for all solvers

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

Gap
Filter: no fail by all solver

Attribute values were projected onto interval [0, 2.0].

Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇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 0.16 0.23 0.19 0.27 0.20 0.20 0.21 0.26 0.16 0.28
arith. std. 0.52 0.58 0.52 0.63 0.54 0.54 0.56 0.61 0.49 0.65
min 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
10.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
25.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
50.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
75.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
90.0% 0.39 1.04 0.69 1.51 0.78 0.76 0.85 1.41 0.39 1.63
max 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00


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

Attribute values were projected onto interval [0, 2.0].

Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇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 0.21 0.29 0.24 0.34 0.25 0.25 0.26 0.33 0.20 0.36
arith. std. 0.57 0.65 0.58 0.69 0.60 0.60 0.62 0.67 0.54 0.71
min 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
10.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
25.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
50.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
75.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
90.0% 0.69 1.75 1.27 1.93 1.39 1.42 1.20 1.55 0.69 2.00
max 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00


Gap
Filter: no fail

Attribute values were projected onto interval [0, 2.0].


Gap
Filter: gap <= 0.1% and not failed

Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇²ℒ.0 virt. best virt. worst
count 106 101 103 98 101 102 103 99 107 92


Gap
Filter: gap <= 1% and not failed

Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇²ℒ.0 virt. best virt. worst
count 106 103 104 99 102 104 104 102 109 94


Gap
Filter: gap <= 10% and not failed

Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇²ℒ.0 virt. best virt. worst
count 108 104 105 101 102 105 104 102 109 97


PrimalGap
Filter: no fail by all solver and known optimal value

Attribute values were projected onto interval [0, 2.0].

Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇²ℒ.0 virt. best virt. worst
count 116.00 116.00 116.00 116.00 116.00 116.00 116.00 116.00 116.00 116.00
arith. mean 0.08 0.10 0.07 0.11 0.09 0.09 0.10 0.09 0.07 0.12
arith. std. 0.37 0.41 0.37 0.43 0.41 0.41 0.41 0.41 0.37 0.43
min 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
10.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
25.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
50.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
75.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
90.0% 0.01 0.08 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.10
max 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00


PrimalGap
Filter: time >= 10.0 by at least one solver and no fail for all solvers and known optimal value

Attribute values were projected onto interval [0, 2.0].

Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇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 0.10 0.13 0.09 0.14 0.11 0.11 0.13 0.12 0.09 0.15
arith. std. 0.42 0.46 0.41 0.48 0.46 0.46 0.46 0.46 0.41 0.48
min 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
10.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
25.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
50.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
75.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
90.0% 0.02 0.10 0.00 0.06 0.00 0.00 0.07 0.01 0.00 0.13
max 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00


PrimalGap
Filter: no fail

Attribute values were projected onto interval [0, 2.0].


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

Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇²ℒ.0 virt. best virt. worst
count 97 88 107 105 108 108 107 108 114 81


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

Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇²ℒ.0 virt. best virt. worst
count 107 102 112 105 111 112 108 110 116 95


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

Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇²ℒ.0 virt. best virt. worst
count 112 109 114 109 114 114 110 113 116 104


DualGap
Filter: no fail by all solver and known optimal value

Attribute values were projected onto interval [0, 2.0].

Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇²ℒ.0 virt. best virt. worst
count 116.00 116.00 116.00 116.00 116.00 116.00 116.00 116.00 116.00 116.00
arith. mean 0.07 0.10 0.11 0.14 0.10 0.10 0.09 0.16 0.07 0.16
arith. std. 0.29 0.33 0.37 0.43 0.35 0.36 0.32 0.45 0.29 0.45
min 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
10.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
25.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
50.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
75.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
90.0% 0.01 0.04 0.04 0.52 0.04 0.04 0.04 0.67 0.01 0.69
max 1.78 1.88 1.93 2.00 1.93 1.93 1.86 2.00 1.78 2.00


DualGap
Filter: time >= 10.0 by at least one solver and no fail for all solvers and known optimal value

Attribute values were projected onto interval [0, 2.0].

Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇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 0.09 0.12 0.13 0.18 0.13 0.13 0.11 0.20 0.09 0.20
arith. std. 0.32 0.37 0.41 0.48 0.39 0.40 0.35 0.50 0.32 0.50
min 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
10.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
25.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
50.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
75.0% 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
90.0% 0.03 0.60 0.49 0.85 0.44 0.44 0.41 1.13 0.02 1.13
max 1.78 1.88 1.93 2.00 1.93 1.93 1.86 2.00 1.78 2.00


DualGap
Filter: dual gap <= 0.1% and not failed

Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇²ℒ.0 virt. best virt. worst
count 105 101 102 98 102 103 103 99 105 94


DualGap
Filter: dual gap <= 1% and not failed

Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇²ℒ.0 virt. best virt. worst
count 108 106 105 101 105 106 106 103 108 100


DualGap
Filter: dual gap <= 10% and not failed

Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇²ℒ.0 virt. best virt. worst
count 110 108 107 105 107 108 108 105 110 102


PrimalBound
Filter: no fail by all solver

Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇²ℒ.0 virt. best virt. worst
count 118 118 118 118 118 118 118 118 118 118

Performance with respect to virt. best:
Tolerance: relative 0.1
Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇²ℒ.0 virt. worst
count 114 114 114 114 114 114 114 114 114
better 0 0 0 0 0 0 0 0 0
close 110 107 114 107 113 113 107 112 104
worse 4 7 0 7 1 1 7 2 10


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

Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇²ℒ.0 virt. best virt. worst
count 93 93 93 93 93 93 93 93 93 93

Performance with respect to virt. best:
Tolerance: relative 0.1
Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇²ℒ.0 virt. worst
count 89 89 89 89 89 89 89 89 89
better 0 0 0 0 0 0 0 0 0
close 85 82 89 82 88 88 82 87 79
worse 4 7 0 7 1 1 7 2 10


DualBound
Filter: no fail by all solver

Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇²ℒ.0 virt. best virt. worst
count 118 118 118 118 118 118 118 118 118 118

Performance with respect to virt. best:
Tolerance: relative 0.1
Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇²ℒ.0 virt. worst
count 118 118 118 118 118 118 118 118 118
better 0 0 0 0 0 0 0 0 0
close 118 112 110 108 111 112 115 107 107
worse 0 6 8 10 7 6 3 11 11


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

Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇²ℒ.0 virt. best virt. worst
count 93 93 93 93 93 93 93 93 93 93

Performance with respect to virt. best:
Tolerance: relative 0.1
Data OA.0 ROA-ℒ₁.0 ROA-ℒ₁/ℓ₂².0 ROA-ℒ₂.0 ROA-ℓ₁.0 ROA-ℓ₂².0 ROA-ℓ∞.0 ROA-∇²ℒ.0 virt. worst
count 93 93 93 93 93 93 93 93 93
better 0 0 0 0 0 0 0 0 0
close 93 87 85 83 86 87 90 82 82
worse 0 6 8 10 7 6 3 11 11