enlight8: 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 (enlight8)

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

enlight8 Raw enlight8 Decomposed enlight8 Composite of MIC top 5 enlight8 Composite of MIPLIB top 5 enlight8 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.
stein15inf decomposed stein9inf decomposed markshare_5_0 decomposed gr4x6 decomposed markshare_4_0 decomposed
Name stein15inf [MIPLIB] stein9inf [MIPLIB] markshare_5_0 [MIPLIB] gr4x6 [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 / 0.779 2 / 0.824 3 / 0.847 4 / 0.849 5 / 0.856
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
stein15inf raw stein9inf raw markshare_5_0 raw gr4x6 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.
enlight4 decomposed nexp-50-20-1-1 decomposed enlight_hard decomposed enlight11 decomposed enlight9 decomposed
Name enlight4 [MIPLIB] nexp-50-20-1-1 [MIPLIB] enlight_hard [MIPLIB] enlight11 [MIPLIB] enlight9 [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.
8 / 0.882 70 / 1.043 97 / 1.076 102 / 1.081 120 / 1.106
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
enlight4 raw nexp-50-20-1-1 raw enlight_hard raw enlight11 raw enlight9 raw

Instance Summary

The table below contains summary information for enlight8, the five most similar instances to enlight8 according to the MIC, and the five most similar instances to enlight8 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance enlight8 [MIPLIB] A. Zymolka Model to solve instance of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 stein15inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.779362 1
stein9inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.824105 2
markshare_5_0 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 0.846991 3
gr4x6 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.848847 4
markshare_4_0 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 0.856499 5
MIPLIB Top 5 enlight4 [MIPLIB] A. Zymolka Model to solve instance of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 0.882486 8
nexp-50-20-1-1 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.043488 70
enlight_hard [MIPLIB] A. Zymolka Model to solve instance of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 1.075779 97
enlight11 [MIPLIB] A. Zymolka Model to solve instance of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 1.080763 102
enlight9 [MIPLIB] A. Zymolka Model to solve instance of a combinatorial game ``EnLight'' 1.105520 120


enlight8: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: enlight
Assigned Model Group Rank/ISS in the MIC: 11 / 1.501

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: map Model group: scp Model group: neos-pseudoapplication-2 Model group: neos-pseudoapplication-109
Name neos-pseudoapplication-74 map scp neos-pseudoapplication-2 neos-pseudoapplication-109
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 / 1.239 2 / 1.249 3 / 1.306 4 / 1.326 5 / 1.342

Model Group Summary

The table below contains summary information for the five most similar model groups to enlight8 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.239033 1
map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 1.249213 2
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 1.306215 3
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.325716 4
neos-pseudoapplication-109 Jeff Linderoth (None provided) 1.342268 5