neos-799711: Instance-to-Instance Comparison Results

Type: Instance
Submitter: NEOS Server Submission
Description: Instance coming from the NEOS Server with unknown application
MIPLIB Entry

Parent Instance (neos-799711)

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

neos-799711 Raw neos-799711 Decomposed neos-799711 Composite of MIC top 5 neos-799711 Composite of MIPLIB top 5 neos-799711 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.
neos-3611689-kaihu decomposed stein15inf decomposed neos-3610040-iskar decomposed noswot decomposed neos-3611447-jijia decomposed
Name neos-3611689-kaihu [MIPLIB] stein15inf [MIPLIB] neos-3610040-iskar [MIPLIB] noswot [MIPLIB] neos-3611447-jijia [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 / 1.116 2 / 1.121 3 / 1.126 4 / 1.133 5 / 1.139
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-3611689-kaihu raw stein15inf raw neos-3610040-iskar raw noswot raw neos-3611447-jijia 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.
misc04inf decomposed neos-5078479-escaut decomposed nj2 decomposed nj3 decomposed neos-5041822-cockle decomposed
Name misc04inf [MIPLIB] neos-5078479-escaut [MIPLIB] nj2 [MIPLIB] nj3 [MIPLIB] neos-5041822-cockle [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.
456 / 1.553 500 / 1.580 525 / 1.594 575 / 1.635 607 / 1.665
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
misc04inf raw neos-5078479-escaut raw nj2 raw nj3 raw neos-5041822-cockle raw

Instance Summary

The table below contains summary information for neos-799711, the five most similar instances to neos-799711 according to the MIC, and the five most similar instances to neos-799711 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-799711 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.000000 -
MIC Top 5 neos-3611689-kaihu [MIPLIB] Jeff Linderoth (None provided) 1.116355 1
stein15inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.121142 2
neos-3610040-iskar [MIPLIB] Jeff Linderoth (None provided) 1.126033 3
noswot [MIPLIB] J. Gregory, L. Schrage Unknown application 1.133488 4
neos-3611447-jijia [MIPLIB] Jeff Linderoth (None provided) 1.138514 5
MIPLIB Top 5 misc04inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.553335 456
neos-5078479-escaut [MIPLIB] Jeff Linderoth (None provided) 1.580471 500
nj2 [MIPLIB] Jonathan Eckstein Electoral district design with various levels of symmetry breaking constraints. 1.594202 525
nj3 [MIPLIB] Jonathan Eckstein Electoral district design with various levels of symmetry breaking constraints. 1.634905 575
neos-5041822-cockle [MIPLIB] Jeff Linderoth (None provided) 1.665020 607


neos-799711: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-25
Assigned Model Group Rank/ISS in the MIC: 139 / 2.828

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: scp Model group: stein Model group: markshare Model group: neos-pseudoapplication-74 Model group: neos-pseudoapplication-21
Name scp stein markshare neos-pseudoapplication-74 neos-pseudoapplication-21
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 / 1.558 2 / 1.570 3 / 1.608 4 / 1.728 5 / 1.756

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-799711 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 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 1.558484 1
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.570335 2
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.607562 3
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.728097 4
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.755563 5