uccase10: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Daniel Espinoza
Description: Imported from the MIPLIB2010 submissions.
MIPLIB Entry

Parent Instance (uccase10)

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

uccase10 Raw uccase10 Decomposed uccase10 Composite of MIC top 5 uccase10 Composite of MIPLIB top 5 uccase10 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.
uccase12 decomposed neos18 decomposed scpm1 decomposed stein45inf decomposed gen-ip002 decomposed
Name uccase12 [MIPLIB] neos18 [MIPLIB] scpm1 [MIPLIB] stein45inf [MIPLIB] gen-ip002 [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 / 1.372 2 / 1.392 3 / 1.394 4 / 1.423 5 / 1.428
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
uccase12 raw neos18 raw scpm1 raw stein45inf raw gen-ip002 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.
uccase12 decomposed uccase8 decomposed uccase9 decomposed uccase7 decomposed irish-electricity decomposed
Name uccase12 [MIPLIB] uccase8 [MIPLIB] uccase9 [MIPLIB] uccase7 [MIPLIB] irish-electricity [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 / 1.372 26 / 1.586 29 / 1.588 38 / 1.615 719 / 2.139
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
uccase12 raw uccase8 raw uccase9 raw uccase7 raw irish-electricity raw

Instance Summary

The table below contains summary information for uccase10, the five most similar instances to uccase10 according to the MIC, and the five most similar instances to uccase10 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance uccase10 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 uccase12 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 1.372150 1
neos18 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.392194 2
scpm1 [MIPLIB] Shunji Umetani This is a random test instance 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 instances. We have also generated reduced instances 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 instance generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark 1.394452 3
stein45inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.422956 4
gen-ip002 [MIPLIB] Simon Bowly Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. 1.428254 5
MIPLIB Top 5 uccase12 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 1.372150 1
uccase8 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 1.586058 26
uccase9 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 1.588048 29
uccase7 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 1.614599 38
irish-electricity [MIPLIB] Paula Carroll Unit Commitment - Irish Test systems We submit a sample Unit Commitment test instance based on an Irish case study. We include a readme file, a solution file, and additional data so that users may generate further UC test instances. 2.138912 719


uccase10: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: uccase
Assigned Model Group Rank/ISS in the MIC: 6 / 1.811

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: stein Model group: scp Model group: markshare Model group: neos-pseudoapplication-21 Model group: enlight
Name stein scp markshare neos-pseudoapplication-21 enlight
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 / 1.600 2 / 1.642 3 / 1.693 4 / 1.741 5 / 1.806

Model Group Summary

The table below contains summary information for the five most similar model groups to uccase10 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.599508 1
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 1.641747 2
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.693040 3
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.741352 4
enlight A. Zymolka Model to solve model of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 1.805895 5