neos-631517: Instance-to-Instance Comparison Results

Type: Instance
Submitter: NEOS Server Submission
Description: Imported from the MIPLIB2010 submissions.
MIPLIB Entry

Parent Instance (neos-631517)

All other instances below were be compared against this "query" instance.

neos-631517 Raw neos-631517 Decomposed neos-631517 Composite of MIC top 5 neos-631517 Composite of MIPLIB top 5 neos-631517 Model Group Composite
Raw This is the CCM image before the decomposition procedure has been applied.
Decomposed This is the CCM image after a decomposition procedure has been applied. This is the image used by the MIC's image-based comparisons for this query instance.
Composite of MIC Top 5 Composite of the five decomposed CCM images from the MIC Top 5.
Composite of MIPLIB Top 5 Composite of the five decomposed CCM images from the MIPLIB Top 5.
Model Group Composite Image Composite of the decomposed CCM images for every instance in the same model group as this query.

MIC Top 5 Instances

These are the 5 decomposed CCM images that are most similar to decomposed CCM image for the the query instance, according to the ISS metric.

Decomposed These decomposed images were created by GCG.
gt2 decomposed timtab1 decomposed fhnw-sq2 decomposed neos-5192052-neckar decomposed prod1 decomposed
Name gt2 [MIPLIB] timtab1 [MIPLIB] fhnw-sq2 [MIPLIB] neos-5192052-neckar [MIPLIB] prod1 [MIPLIB]
Rank / ISS The image-based structural similarity (ISS) metric measures the Euclidean distance between the image-based feature vectors for the query instance and all other instances. A smaller ISS value indicates greater similarity.
1 / 0.942 2 / 1.008 3 / 1.020 4 / 1.023 5 / 1.041
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
gt2 raw timtab1 raw fhnw-sq2 raw neos-5192052-neckar raw prod1 raw

MIPLIB Top 5 Instances

These are the 5 instances that are most closely related to the query instance, according to the instance statistic-based similarity measure employed by MIPLIB 2017

Decomposed These decomposed images were created by GCG.
neos-911970 decomposed neos-5140963-mincio decomposed rlp1 decomposed assign1-5-8 decomposed bppc8-09 decomposed
Name neos-911970 [MIPLIB] neos-5140963-mincio [MIPLIB] rlp1 [MIPLIB] assign1-5-8 [MIPLIB] bppc8-09 [MIPLIB]
Rank / ISS The image-based structural similarity (ISS) metric measures the Euclidean distance between the image-based feature vectors for the query instance and all model groups. A smaller ISS value indicates greater similarity.
35 / 1.159 38 / 1.166 221 / 1.292 273 / 1.332 920 / 2.586
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-911970 raw neos-5140963-mincio raw rlp1 raw assign1-5-8 raw bppc8-09 raw

Instance Summary

The table below contains summary information for neos-631517, the five most similar instances to neos-631517 according to the MIC, and the five most similar instances to neos-631517 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-631517 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 gt2 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.942420 1
timtab1 [MIPLIB] C. Liebchen, R. Möhring Public transport scheduling problem 1.007782 2
fhnw-sq2 [MIPLIB] Simon Felix Combinatorial toy fesability problem: Magic square. Instances 1 & 2 are feasible, instance 3 is unknown. Reported to be solved after 46883 seconds with ParaSCIP using 72 cores. 1.020333 3
neos-5192052-neckar [MIPLIB] Jeff Linderoth (None provided) 1.023455 4
prod1 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.040769 5
MIPLIB Top 5 neos-911970 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.158834 35
neos-5140963-mincio [MIPLIB] Jeff Linderoth (None provided) 1.166418 38
rlp1 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.291537 221
assign1-5-8 [MIPLIB] Robert Fourer Imported from the MIPLIB2010 submissions. 1.332316 273
bppc8-09 [MIPLIB] Manuel Iori The models that we attach solve the "bar-relaxation", also known as the "Bin Packing Problem with Contiguity" or the "P||Cmax with contiguity". This is one of the most interesting relaxations for two dimensional cutting and packing problems. Its solution by means of an ILP software is the bottleneck of the primal decomposition methods that we attempted in the paper cited below. In detail, the files correspond to model (12)-(15) in the paper, applied to the instances of the Classes 4, 6 and 8 by Martello and Vigo (Management Science, 1998). 2.585960 920


neos-631517: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-70
Assigned Model Group Rank/ISS in the MIC: 1 / 1.243

MIC Top 5 Model Groups

These are the 5 model group composite (MGC) images that are most similar to the decomposed CCM image for the query instance, according to the ISS metric.

These are model group composite (MGC) images for the MIC top 5 model groups.
Model group: neos-pseudoapplication-70 Model group: neos-pseudoapplication-74 Model group: timtab Model group: scp Model group: supportvectormachine
Name neos-pseudoapplication-70 neos-pseudoapplication-74 timtab scp supportvectormachine
Rank / ISS The image-based structural similarity (ISS) metric measures the Euclidean distance between the image-based feature vectors for the query instance and all other instances. A smaller ISS value indicates greater similarity.
1 / 1.244 2 / 1.611 3 / 1.674 4 / 1.678 5 / 1.769

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-631517 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-70 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.243961 1
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.611095 2
timtab C. Liebchen, R. Möhring Public transport scheduling problem 1.673663 3
scp Shunji Umetani This is a random test model generator for SCP using the scheme of the following paper, namely the column cost c[j] are integer randomly generated from [1,100]; every column covers at least one row; and every row is covered by at least two columns. see reference: E. Balas and A. Ho, Set covering algorithms using cutting planes, heuristics, and subgradient optimization: A computational study, Mathematical Programming, 12 (1980), 37-60. We have newly generated Classes I-N with the following parameter values, where each class has five models. We have also generated reduced models by a standard pricing method in the following paper: S. Umetani and M. Yagiura, Relaxation heuristics for the set covering problem, Journal of the Operations Research Society of Japan, 50 (2007), 350-375. You can obtain the model generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark 1.678133 4
supportvectormachine Toni Sorrell Suport vector machine with ramp loss. GSVM2-RL is the formulation found in Hess E. and Brooks P. (2015) paper, The Support Vector Machine and Mixed Integer Linear Programming: Ramp Loss SVM with L1-Norm Regularization 1.768506 5