neos-4647027-thurso: 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-4647027-thurso)

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

neos-4647027-thurso Raw neos-4647027-thurso Decomposed neos-4647027-thurso Composite of MIC top 5 neos-4647027-thurso Composite of MIPLIB top 5 neos-4647027-thurso 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.
neos-4647030-tutaki decomposed stein15inf decomposed gen-ip054 decomposed markshare2 decomposed markshare1 decomposed
Name neos-4647030-tutaki [MIPLIB] stein15inf [MIPLIB] gen-ip054 [MIPLIB] markshare2 [MIPLIB] markshare1 [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 / 0.797 2 / 1.175 3 / 1.194 4 / 1.195 5 / 1.214
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-4647030-tutaki raw stein15inf raw gen-ip054 raw markshare2 raw markshare1 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-4647030-tutaki decomposed neos-4647032-veleka decomposed neos-4335793-snake decomposed supportcase7 decomposed ns1690781 decomposed
Name neos-4647030-tutaki [MIPLIB] neos-4647032-veleka [MIPLIB] neos-4335793-snake [MIPLIB] supportcase7 [MIPLIB] neos-4647030-tutaki** [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 / 0.797 452 / 1.732 600 / 1.841 771 / 2.037 N.A.** / N.A.**
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-4647030-tutaki raw neos-4647032-veleka raw neos-4335793-snake raw supportcase7 raw ns1690781 raw

Instance Summary

The table below contains summary information for neos-4647027-thurso, the five most similar instances to neos-4647027-thurso according to the MIC, and the five most similar instances to neos-4647027-thurso according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-4647027-thurso [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 0.000000 -
MIC Top 5 neos-4647030-tutaki [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 0.796670 1
stein15inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.174653 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. 1.194423 3
markshare2 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 1.195397 4
markshare1 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 1.213770 5
MIPLIB Top 5 neos-4647030-tutaki [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 0.796670 1
neos-4647032-veleka [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 1.732118 452
neos-4335793-snake [MIPLIB] Jeff Linderoth (None provided) 1.841134 600
supportcase7 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 2.037386 771
neos-4647030-tutaki** [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application. N.A.** N.A.**


neos-4647027-thurso: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-29
Assigned Model Group Rank/ISS in the MIC: 4 / 1.722

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-29 Model group: neos-pseudoapplication-21
Name scp markshare stein neos-pseudoapplication-29 neos-pseudoapplication-21
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 / 1.574 2 / 1.635 3 / 1.680 4 / 1.722 5 / 1.792

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-4647027-thurso 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 1.574409 1
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.634936 2
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.680466 3
neos-pseudoapplication-29 Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 1.722324 4
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.791888 5


** ns1690781 could not be decomposed by GCG, and was not included in our dataset.