neos-848589: Instance-to-Instance Comparison Results

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

Parent Instance (neos-848589)

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

neos-848589 Raw neos-848589 Decomposed neos-848589 Composite of MIC top 5 neos-848589 Composite of MIPLIB top 5 neos-848589 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-3322547-alsek decomposed neos-2978205-isar decomposed mad decomposed gt2 decomposed ger50-17-ptp-pop-6t decomposed
Name neos-3322547-alsek [MIPLIB] neos-2978205-isar [MIPLIB] mad [MIPLIB] gt2 [MIPLIB] ger50-17-ptp-pop-6t [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 / 0.169 2 / 0.542 3 / 0.751 4 / 0.763 5 / 0.781
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-3322547-alsek raw neos-2978205-isar raw mad raw gt2 raw ger50-17-ptp-pop-6t 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-2978205-isar decomposed neos-848198 decomposed neos-4290317-perth decomposed dfn-bwin-DBE decomposed neos-480878 decomposed
Name neos-2978205-isar [MIPLIB] neos-848198 [MIPLIB] neos-4290317-perth [MIPLIB] dfn-bwin-DBE [MIPLIB] neos-480878 [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.
2 / 0.542 92 / 1.229 144 / 1.290 355 / 1.380 904 / 2.229
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-2978205-isar raw neos-848198 raw neos-4290317-perth raw dfn-bwin-DBE raw neos-480878 raw

Instance Summary

The table below contains summary information for neos-848589, the five most similar instances to neos-848589 according to the MIC, and the five most similar instances to neos-848589 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-848589 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 neos-3322547-alsek [MIPLIB] Jeff Linderoth (None provided) 0.168828 1
neos-2978205-isar [MIPLIB] Jeff Linderoth (None provided) 0.541687 2
mad [MIPLIB] Koichi Fujii Mean-Absolute Deviation Model for Car Dealerships 0.750659 3
gt2 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.763171 4
ger50-17-ptp-pop-6t [MIPLIB] C. Raack Multi-layer network design problem using a link-flow formulation over a path-flow formulation. 0.780837 5
MIPLIB Top 5 neos-2978205-isar [MIPLIB] Jeff Linderoth (None provided) 0.541687 2
neos-848198 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.229281 92
neos-4290317-perth [MIPLIB] Jeff Linderoth (None provided) 1.289642 144
dfn-bwin-DBE [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.380346 355
neos-480878 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 2.228704 904


neos-848589: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-77
Assigned Model Group Rank/ISS in the MIC: 2 / 1.268

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: neos-pseudoapplication-77 Model group: neos-pseudoapplication-74 Model group: markshare Model group: stein
Name scp neos-pseudoapplication-77 neos-pseudoapplication-74 markshare stein
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 / 1.210 2 / 1.268 3 / 1.415 4 / 1.451 5 / 1.467

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-848589 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 1.210256 1
neos-pseudoapplication-77 Jeff Linderoth (None provided) 1.268134 2
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.415323 3
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.450758 4
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.466733 5