enlight4: Instance-to-Instance Comparison Results

Type: Instance
Submitter: A. Zymolka
Description: Model to solve instance of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions.
MIPLIB Entry

Parent Instance (enlight4)

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

enlight4 Raw enlight4 Decomposed enlight4 Composite of MIC top 5 enlight4 Composite of MIPLIB top 5 enlight4 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 flugpl decomposed stein9inf decomposed p2m2p1m1p0n100 decomposed gr4x6 decomposed
Name flugplinf [MIPLIB] flugpl [MIPLIB] stein9inf [MIPLIB] p2m2p1m1p0n100 [MIPLIB] gr4x6 [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 / 0.516 2 / 0.558 3 / 0.558 4 / 0.592 5 / 0.606
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
flugplinf raw flugpl raw stein9inf raw p2m2p1m1p0n100 raw gr4x6 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.
enlight11 decomposed enlight_hard decomposed enlight9 decomposed enlight8 decomposed nexp-50-20-1-1 decomposed
Name enlight11 [MIPLIB] enlight_hard [MIPLIB] enlight9 [MIPLIB] enlight8 [MIPLIB] nexp-50-20-1-1 [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.
13 / 0.742 16 / 0.766 36 / 0.854 49 / 0.882 71 / 0.938
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
enlight11 raw enlight_hard raw enlight9 raw enlight8 raw nexp-50-20-1-1 raw

Instance Summary

The table below contains summary information for enlight4, the five most similar instances to enlight4 according to the MIC, and the five most similar instances to enlight4 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance enlight4 [MIPLIB] A. Zymolka Model to solve instance of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 flugplinf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.515586 1
flugpl [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.558214 2
stein9inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.558219 3
p2m2p1m1p0n100 [MIPLIB] B. Krishnamoorthy, G. Pataki A 0-1 knapsack problem constructed to be difficult 0.592433 4
gr4x6 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.606462 5
MIPLIB Top 5 enlight11 [MIPLIB] A. Zymolka Model to solve instance of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 0.742071 13
enlight_hard [MIPLIB] A. Zymolka Model to solve instance of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 0.765641 16
enlight9 [MIPLIB] A. Zymolka Model to solve instance of a combinatorial game ``EnLight'' 0.853525 36
enlight8 [MIPLIB] A. Zymolka Model to solve instance of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 0.882486 49
nexp-50-20-1-1 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.938093 71


enlight4: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: enlight
Assigned Model Group Rank/ISS in the MIC: 17 / 1.600

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: neos-pseudoapplication-2 Model group: scp
Name neos-pseudoapplication-74 neos-pseudoapplication-109 map neos-pseudoapplication-2 scp
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 / 1.090 2 / 1.217 3 / 1.298 4 / 1.337 5 / 1.366

Model Group Summary

The table below contains summary information for the five most similar model groups to enlight4 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.089549 1
neos-pseudoapplication-109 Jeff Linderoth (None provided) 1.216698 2
map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 1.298048 3
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.336934 4
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 1.365792 5