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 405.00 405.00 405.00 405.00 405.00 405.00 405.00 405.00 405.00 405.00
arith. mean 0.07 0.12 0.14 0.14 0.10 0.13 0.12 0.15 0.06 0.20
arith. std. 0.34 0.44 0.47 0.45 0.38 0.42 0.42 0.44 0.30 0.54
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 0.01
90.0% 0.00 0.06 0.23 0.22 0.07 0.31 0.03 0.48 0.00 0.75
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 320.00 320.00 320.00 320.00 320.00 320.00 320.00 320.00 320.00 320.00
arith. mean 0.09 0.15 0.18 0.18 0.13 0.16 0.15 0.19 0.08 0.25
arith. std. 0.38 0.49 0.53 0.49 0.42 0.46 0.47 0.48 0.33 0.59
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 0.01 0.00 0.03
90.0% 0.00 0.37 0.63 0.66 0.35 0.47 0.32 0.77 0.00 1.16
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 380 363 329 322 362 329 362 320 393 284


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 383 372 355 349 374 351 373 337 396 311


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 392 378 367 367 380 375 378 359 404 335


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 341.00 341.00 341.00 341.00 341.00 341.00 341.00 341.00 341.00 341.00
arith. mean 0.01 0.04 0.03 0.03 0.01 0.01 0.03 0.02 0.00 0.06
arith. std. 0.12 0.20 0.16 0.17 0.07 0.10 0.14 0.09 0.00 0.23
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% 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.12
max 2.00 2.00 2.00 2.00 0.98 1.29 1.23 0.82 0.04 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 257.00 257.00 257.00 257.00 257.00 257.00 257.00 257.00 257.00 257.00
arith. mean 0.02 0.05 0.04 0.04 0.01 0.02 0.04 0.02 0.00 0.08
arith. std. 0.13 0.22 0.19 0.19 0.08 0.12 0.16 0.10 0.00 0.27
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% 0.00 0.01 0.07 0.04 0.00 0.00 0.00 0.01 0.00 0.22
max 2.00 2.00 2.00 2.00 0.98 1.29 1.23 0.82 0.04 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 327 319 310 309 334 323 322 312 351 283


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 332 320 314 315 341 334 326 320 354 288


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 342 330 323 330 347 342 333 333 358 302


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 341.00 341.00 341.00 341.00 341.00 341.00 341.00 341.00 341.00 341.00
arith. mean 0.06 0.08 0.09 0.09 0.08 0.09 0.07 0.11 0.06 0.13
arith. std. 0.29 0.31 0.33 0.33 0.33 0.34 0.30 0.35 0.29 0.38
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% 0.00 0.00 0.04 0.09 0.00 0.08 0.00 0.27 0.00 0.38
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 257.00 257.00 257.00 257.00 257.00 257.00 257.00 257.00 257.00 257.00
arith. mean 0.08 0.10 0.12 0.13 0.11 0.12 0.10 0.14 0.08 0.17
arith. std. 0.33 0.36 0.37 0.38 0.38 0.39 0.34 0.39 0.33 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 0.01
90.0% 0.00 0.14 0.33 0.35 0.12 0.31 0.10 0.61 0.00 0.70
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 325 310 288 288 313 285 311 281 333 259


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 327 316 305 302 320 301 318 292 335 278


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 336 321 316 316 329 322 327 307 342 294


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 405 405 405 405 405 405 405 405 405 405

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 405 405 405 405 405 405 405 405 405
better 0 0 0 0 0 0 0 0 0
close 395 383 373 376 399 389 382 384 357
worse 10 22 32 29 6 16 23 21 48


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 320 320 320 320 320 320 320 320 320 320

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 320 320 320 320 320 320 320 320 320
better 0 0 0 0 0 0 0 0 0
close 310 298 288 291 314 304 297 299 272
worse 10 22 32 29 6 16 23 21 48


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 405 405 405 405 405 405 405 405 405 405

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 405 405 405 405 405 405 405 405 405
better 0 0 0 0 0 0 0 0 0
close 405 384 380 376 383 375 384 370 361
worse 0 21 25 29 22 30 21 35 44


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 320 320 320 320 320 320 320 320 320 320

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 320 320 320 320 320 320 320 320 320
better 0 0 0 0 0 0 0 0 0
close 320 299 295 291 298 290 299 285 276
worse 0 21 25 29 22 30 21 35 44