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 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 0.21 0.25 0.24 0.22 0.20 0.18 0.23 0.19 0.18 0.27
arith. std. 0.57 0.66 0.64 0.59 0.53 0.50 0.62 0.51 0.50 0.68
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% 1.39 1.98 1.88 1.34 1.19 1.05 1.54 1.05 1.05 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: time >= 10.0 by at least one solver and no fail for all solvers

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

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 0.27 0.32 0.31 0.28 0.25 0.23 0.30 0.24 0.23 0.34
arith. std. 0.63 0.73 0.71 0.65 0.58 0.55 0.69 0.56 0.55 0.75
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% 1.53 2.00 1.99 1.76 1.39 1.33 1.96 1.33 1.33 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 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 102 104 98 101 103 99 105 101 108 91


Gap
Filter: gap <= 1% and not failed

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 104 110 107 109 108 108 110 106 111 101


Gap
Filter: gap <= 10% and not failed

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 107 110 108 110 108 111 111 107 114 102


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

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

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 116.00 116.00 116.00 116.00 116.00 116.00 116.00 116.00 116.00 116.00
arith. mean 0.04 0.08 0.07 0.05 0.00 0.00 0.05 0.00 0.00 0.09
arith. std. 0.20 0.28 0.25 0.22 0.01 0.02 0.19 0.01 0.00 0.30
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% 0.05 0.25 0.22 0.04 0.00 0.00 0.11 0.00 0.00 0.25
max 2.00 2.00 2.00 2.00 0.08 0.26 1.23 0.06 0.00 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 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 0.05 0.11 0.09 0.06 0.00 0.00 0.07 0.00 0.00 0.12
arith. std. 0.22 0.32 0.28 0.25 0.01 0.03 0.22 0.01 0.00 0.34
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% 0.10 0.41 0.34 0.13 0.00 0.00 0.21 0.00 0.00 0.44
max 2.00 2.00 2.00 2.00 0.08 0.26 1.23 0.06 0.00 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 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 103 103 104 107 115 117 106 114 119 99


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

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 104 103 104 107 117 118 106 115 120 100


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

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 111 105 105 110 120 119 109 118 123 102


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

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

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 116.00 116.00 116.00 116.00 116.00 116.00 116.00 116.00 116.00 116.00
arith. mean 0.17 0.17 0.17 0.17 0.19 0.17 0.17 0.17 0.17 0.19
arith. std. 0.48 0.48 0.48 0.48 0.51 0.48 0.48 0.48 0.48 0.51
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% 0.99 0.99 0.99 0.99 1.07 0.99 0.99 0.99 0.99 1.08
max 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 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 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 0.22 0.22 0.22 0.22 0.24 0.22 0.22 0.22 0.22 0.24
arith. std. 0.53 0.53 0.53 0.53 0.56 0.53 0.53 0.53 0.53 0.56
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% 1.32 1.32 1.32 1.32 1.33 1.32 1.32 1.32 1.32 1.33
max 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00


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

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 101 100 95 98 100 95 101 97 104 90


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

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 103 105 104 105 105 104 106 102 106 101


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

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 107 105 105 106 109 109 110 103 110 101


PrimalBound
Filter: no fail by all solver

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 118 118 118 118 118 118 118 118 118 118

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 118 118 118 118 118 118 118 118 118
better 0 0 0 0 0 0 0 0 0
close 108 103 103 107 118 117 105 118 103
worse 10 15 15 11 0 1 13 0 15


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

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 93 93 93 93 93 93 93 93 93

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 93 93 93 93 93 93 93 93
better 0 0 0 0 0 0 0 0 0
close 83 78 78 82 93 92 80 93 78
worse 10 15 15 11 0 1 13 0 15


DualBound
Filter: no fail by all solver

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 118 118 118 118 118 118 118 118 118 118

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 118 118 118 118 118 118 118 118 118
better 0 0 0 0 0 0 0 0 0
close 118 118 118 118 117 118 118 117 117
worse 0 0 0 0 1 0 0 1 1


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

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 93 93 93 93 93 93 93 93 93

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 93 93 93 93 93 93 93 93
better 0 0 0 0 0 0 0 0 0
close 93 93 93 93 92 93 93 92 92
worse 0 0 0 0 1 0 0 1 1