neos-950242: Instance-to-Instance Comparison Results

Type: Instance
Submitter: NEOS Server Submission
Description: Imported from the MIPLIB2010 submissions.
MIPLIB Entry

Parent Instance (neos-950242)

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

neos-950242 Raw neos-950242 Decomposed neos-950242 Composite of MIC top 5 neos-950242 Composite of MIPLIB top 5 neos-950242 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.
icir97_potential decomposed neos-3755335-nizao decomposed hypothyroid-k1 decomposed uct-subprob decomposed rd-rplusc-21 decomposed
Name icir97_potential [MIPLIB] neos-3755335-nizao [MIPLIB] hypothyroid-k1 [MIPLIB] uct-subprob [MIPLIB] rd-rplusc-21 [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 / 1.095 2 / 1.228 3 / 1.252 4 / 1.261 5 / 1.262
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
icir97_potential raw neos-3755335-nizao raw hypothyroid-k1 raw uct-subprob raw rd-rplusc-21 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.
tw-myciel4 decomposed genus-g61-25 decomposed genus-sym-grafo5708-48 decomposed genus-sym-g62-2 decomposed supportcase10 decomposed
Name tw-myciel4 [MIPLIB] genus-g61-25 [MIPLIB] genus-sym-grafo5708-48 [MIPLIB] genus-sym-g62-2 [MIPLIB] supportcase10 [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.
618 / 2.005 687 / 2.069 769 / 2.162 849 / 2.323 963 / 3.091
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
tw-myciel4 raw genus-g61-25 raw genus-sym-grafo5708-48 raw genus-sym-g62-2 raw supportcase10 raw

Instance Summary

The table below contains summary information for neos-950242, the five most similar instances to neos-950242 according to the MIC, and the five most similar instances to neos-950242 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-950242 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 icir97_potential [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.095044 1
neos-3755335-nizao [MIPLIB] Jeff Linderoth (None provided) 1.227558 2
hypothyroid-k1 [MIPLIB] Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 1.251527 3
uct-subprob [MIPLIB] Gerald Lach Subproblem of a university course timetabling problem. Switched to "easy" because it was solved by Gurobi 5.0 in 2106 seconds (May 2012). 1.261389 4
rd-rplusc-21 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.262366 5
MIPLIB Top 5 tw-myciel4 [MIPLIB] Arie Koster Model to compute the treewidth of the Mycielski-4 instance from the DIMACS graph coloring database. Solved in June 2013 by CPLEX 12.5.1 (12 threads) in about 66 hours. The solving was performed in two steps: first solving with 50 GB tree memory limit (took 11307.42 seconds), after that, setting the tree memory limit to 80 GB and switching to depth first search (took 226152.14 seconds). 2.005061 618
genus-g61-25 [MIPLIB] Stephan Beyer Minimum Genus instance of g.61.25 (undirected) of the AT&T Graphs by Stephen C. North. 2.068703 687
genus-sym-grafo5708-48 [MIPLIB] Stephan Beyer Minimum Genus instance of grafo5708.48 from the Rome Graphs, with symmetry-breaking constraints. 2.161648 769
genus-sym-g62-2 [MIPLIB] Stephan Beyer Minimum Genus instance, with symmetry breaking constraints, of g.62.2 (undirected) of the AT&T Graphs by Stephen C. North. 2.323158 849
supportcase10 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 3.090928 963


neos-950242: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-72
Assigned Model Group Rank/ISS in the MIC: 13 / 2.272

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-91 Model group: hypothyroid Model group: neos-pseudoapplication-54 Model group: neos-pseudoapplication-61 Model group: scp
Name neos-pseudoapplication-91 hypothyroid neos-pseudoapplication-54 neos-pseudoapplication-61 scp
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 / 1.818 2 / 1.841 3 / 1.980 4 / 2.018 5 / 2.054

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-950242 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-91 Jeff Linderoth (None provided) 1.818094 1
hypothyroid Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 1.840765 2
neos-pseudoapplication-54 Jeff Linderoth (None provided) 1.980489 3
neos-pseudoapplication-61 NEOS Server Submission Imported from the MIPLIB2010 submissions. 2.018482 4
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 2.053941 5