neos-4647032-veleka: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Hans Mittelmann
Description: Collection of anonymous submissions to the NEOS Server for Optimization
MIPLIB Entry

Parent Instance (neos-4647032-veleka)

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

neos-4647032-veleka Raw neos-4647032-veleka Decomposed neos-4647032-veleka Composite of MIC top 5 neos-4647032-veleka Composite of MIPLIB top 5 neos-4647032-veleka 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.
supportcase14 decomposed markshare2 decomposed f2gap40400 decomposed mod008inf decomposed scpm1 decomposed
Name supportcase14 [MIPLIB] markshare2 [MIPLIB] f2gap40400 [MIPLIB] mod008inf [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 / 1.207 2 / 1.216 3 / 1.219 4 / 1.229 5 / 1.240
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
supportcase14 raw markshare2 raw f2gap40400 raw mod008inf 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.
neos-4335793-snake decomposed neos-5182409-nasivi decomposed neos-4647030-tutaki decomposed neos-4647027-thurso decomposed supportcase7 decomposed
Name neos-4335793-snake [MIPLIB] neos-5182409-nasivi [MIPLIB] neos-4647030-tutaki [MIPLIB] neos-4647027-thurso [MIPLIB] supportcase7 [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.
521 / 1.648 570 / 1.689 590 / 1.705 617 / 1.732 841 / 2.160
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-4335793-snake raw neos-5182409-nasivi raw neos-4647030-tutaki raw neos-4647027-thurso raw supportcase7 raw

Instance Summary

The table below contains summary information for neos-4647032-veleka, the five most similar instances to neos-4647032-veleka according to the MIC, and the five most similar instances to neos-4647032-veleka according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-4647032-veleka [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 0.000000 -
MIC Top 5 supportcase14 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 1.206697 1
markshare2 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 1.216277 2
f2gap40400 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.218739 3
mod008inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.228734 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 1.239932 5
MIPLIB Top 5 neos-4335793-snake [MIPLIB] Jeff Linderoth (None provided) 1.648315 521
neos-5182409-nasivi [MIPLIB] Jeff Linderoth (None provided) 1.689193 570
neos-4647030-tutaki [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 1.705021 590
neos-4647027-thurso [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 1.732118 617
supportcase7 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 2.159909 841


neos-4647032-veleka: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-29
Assigned Model Group Rank/ISS in the MIC: 19 / 1.932

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: markshare Model group: stein Model group: neos-pseudoapplication-74 Model group: enlight
Name scp markshare stein neos-pseudoapplication-74 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 / 1.522 2 / 1.582 3 / 1.592 4 / 1.592 5 / 1.598

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-4647032-veleka 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 1.521919 1
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.581737 2
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.591962 3
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.592396 4
enlight A. Zymolka Model to solve model of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 1.598339 5