g503inf: Instance-to-Instance Comparison Results

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

Parent Instance (g503inf)

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

g503inf Raw g503inf Decomposed g503inf Composite of MIC top 5 g503inf Composite of MIPLIB top 5 g503inf 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.
gr4x6 decomposed neos-5192052-neckar decomposed neos-1425699 decomposed enlight4 decomposed flugplinf decomposed
Name gr4x6 [MIPLIB] neos-5192052-neckar [MIPLIB] neos-1425699 [MIPLIB] enlight4 [MIPLIB] flugplinf [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 / 0.481 2 / 0.626 3 / 0.636 4 / 0.642 5 / 0.646
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
gr4x6 raw neos-5192052-neckar raw neos-1425699 raw enlight4 raw flugplinf 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.
gr4x6 decomposed ran13x13 decomposed ran12x21 decomposed gen decomposed ran14x18-disj-8 decomposed
Name gr4x6 [MIPLIB] ran13x13 [MIPLIB] ran12x21 [MIPLIB] gen [MIPLIB] ran14x18-disj-8 [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.
1 / 0.481 9 / 0.697 113 / 0.915 243 / 1.074 749 / 1.823
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
gr4x6 raw ran13x13 raw ran12x21 raw gen raw ran14x18-disj-8 raw

Instance Summary

The table below contains summary information for g503inf, the five most similar instances to g503inf according to the MIC, and the five most similar instances to g503inf according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance g503inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 gr4x6 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.481117 1
neos-5192052-neckar [MIPLIB] Jeff Linderoth (None provided) 0.626276 2
neos-1425699 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.636469 3
enlight4 [MIPLIB] A. Zymolka Model to solve instance of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 0.641941 4
flugplinf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.646253 5
MIPLIB Top 5 gr4x6 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.481117 1
ran13x13 [MIPLIB] J. Aronson Fixed charge transportation problem 0.697031 9
ran12x21 [MIPLIB] J. Aronson Fixed charge transportation problem 0.915134 113
gen [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.073929 243
ran14x18-disj-8 [MIPLIB] J. Aronson Fixed charge transportation problem 1.822858 749


g503inf: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: no model group assignment
Assigned Model Group Rank/ISS in the MIC: N.A. / N.A.

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: neos-pseudoapplication-2 Model group: scp Model group: map
Name neos-pseudoapplication-74 neos-pseudoapplication-109 neos-pseudoapplication-2 scp map
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 / 0.807 2 / 1.106 3 / 1.215 4 / 1.301 5 / 1.301

Model Group Summary

The table below contains summary information for the five most similar model groups to g503inf according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-74 Jeff Linderoth (None provided) 0.806917 1
neos-pseudoapplication-109 Jeff Linderoth (None provided) 1.106253 2
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.214707 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 1.300519 4
map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 1.301212 5