dell: Instance-to-Instance Comparison Results

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

Parent Instance (dell)

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

dell Raw dell Decomposed dell Composite of MIC top 5 dell Composite of MIPLIB top 5 dell 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.
f2gap40400 decomposed gen-ip002 decomposed gen-ip054 decomposed gen-ip021 decomposed scpm1 decomposed
Name f2gap40400 [MIPLIB] gen-ip002 [MIPLIB] gen-ip054 [MIPLIB] gen-ip021 [MIPLIB] scpm1 [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 / 1.184 2 / 1.184 3 / 1.195 4 / 1.197 5 / 1.204
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
f2gap40400 raw gen-ip002 raw gen-ip054 raw gen-ip021 raw scpm1 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.
nsa decomposed rocI-3-11 decomposed supportcase23 decomposed supportcase7 decomposed irish-electricity decomposed
Name nsa [MIPLIB] rocI-3-11 [MIPLIB] supportcase23 [MIPLIB] supportcase7 [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.
210 / 1.548 212 / 1.549 367 / 1.593 749 / 1.810 883 / 2.125
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
nsa raw rocI-3-11 raw supportcase23 raw supportcase7 raw irish-electricity raw

Instance Summary

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

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance dell [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 f2gap40400 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.183658 1
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. 1.184229 2
gen-ip054 [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. 1.195438 3
gen-ip021 [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. 1.197137 4
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 1.203958 5
MIPLIB Top 5 nsa [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.547884 210
rocI-3-11 [MIPLIB] Joerg Rambau Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions 1.549413 212
supportcase23 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 1.592933 367
supportcase7 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 1.810033 749
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. 2.125386 883


dell: 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: scp Model group: neos-pseudoapplication-21 Model group: stein Model group: markshare Model group: independentset
Name scp neos-pseudoapplication-21 stein markshare independentset
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 / 1.494 2 / 1.659 3 / 1.716 4 / 1.752 5 / 1.801

Model Group Summary

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

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 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 1.494216 1
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.658854 2
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.716080 3
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.752290 4
independentset Toni Sorrell These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 1.801267 5