stein9inf: Instance-to-Instance Comparison Results

Type: Instance
Submitter: MIPLIB submission pool
Description: Imported from the MIPLIB2010 submissions.
MIPLIB Entry

Parent Instance (stein9inf)

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

stein9inf Raw stein9inf Decomposed stein9inf Composite of MIC top 5 stein9inf Composite of MIPLIB top 5 stein9inf 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.
flugplinf decomposed stein15inf decomposed flugpl decomposed enlight4 decomposed markshare_4_0 decomposed
Name flugplinf [MIPLIB] stein15inf [MIPLIB] flugpl [MIPLIB] enlight4 [MIPLIB] markshare_4_0 [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 / 0.490 2 / 0.515 3 / 0.525 4 / 0.558 5 / 0.559
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
flugplinf raw stein15inf raw flugpl raw enlight4 raw markshare_4_0 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.
stein15inf decomposed stein45inf decomposed ramos3 decomposed seymour decomposed f2000 decomposed
Name stein15inf [MIPLIB] stein45inf [MIPLIB] ramos3 [MIPLIB] seymour [MIPLIB] f2000 [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 / 0.515 215 / 1.163 820 / 2.201 838 / 2.250 856 / 2.324
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
stein15inf raw stein45inf raw ramos3 raw seymour raw f2000 raw

Instance Summary

The table below contains summary information for stein9inf, the five most similar instances to stein9inf according to the MIC, and the five most similar instances to stein9inf according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance stein9inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 flugplinf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.490246 1
stein15inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.515218 2
flugpl [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.524629 3
enlight4 [MIPLIB] A. Zymolka Model to solve instance of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 0.558219 4
markshare_4_0 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 0.558837 5
MIPLIB Top 5 stein15inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.515218 2
stein45inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.162798 215
ramos3 [MIPLIB] F. Ramos Set covering problem from a product manufacturing application 2.200764 820
seymour [MIPLIB] W. Cook, P. Seymour A set-covering problem that arose from work related to the proof of the 4-color theorem. 2.250421 838
f2000 [MIPLIB] M. Winkler Reformulated SAT instance from the 2010 SAT conference pseudo-Boolean competition 2.324028 856


stein9inf: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: stein
Assigned Model Group Rank/ISS in the MIC: 7 / 1.462

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-74 Model group: neos-pseudoapplication-109 Model group: map Model group: scp Model group: neos-pseudoapplication-2
Name neos-pseudoapplication-74 neos-pseudoapplication-109 map scp neos-pseudoapplication-2
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 / 1.089 2 / 1.242 3 / 1.356 4 / 1.371 5 / 1.382

Model Group Summary

The table below contains summary information for the five most similar model groups to stein9inf according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.088545 1
neos-pseudoapplication-109 Jeff Linderoth (None provided) 1.241615 2
map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 1.356323 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 1.371190 4
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.382206 5