neos5: Instance-to-Instance Comparison Results

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

Parent Instance (neos5)

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

neos5 Raw neos5 Decomposed neos5 Composite of MIC top 5 neos5 Composite of MIPLIB top 5 neos5 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.
f2gap801600 decomposed gen-ip036 decomposed scpl4 decomposed f2gap401600 decomposed ns1952667 decomposed
Name f2gap801600 [MIPLIB] gen-ip036 [MIPLIB] scpl4 [MIPLIB] f2gap401600 [MIPLIB] ns1952667 [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 / 0.583 2 / 0.597 3 / 0.629 4 / 0.674 5 / 0.710
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
f2gap801600 raw gen-ip036 raw scpl4 raw f2gap401600 raw ns1952667 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.
ramos3 decomposed mod008inf decomposed seymour1 decomposed hanoi5 decomposed probportfolio decomposed
Name ramos3 [MIPLIB] mod008inf [MIPLIB] seymour1 [MIPLIB] hanoi5 [MIPLIB] probportfolio [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.
85 / 1.361 185 / 1.524 309 / 1.619 400 / 1.667 747 / 1.823
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
ramos3 raw mod008inf raw seymour1 raw hanoi5 raw probportfolio raw

Instance Summary

The table below contains summary information for neos5, the five most similar instances to neos5 according to the MIC, and the five most similar instances to neos5 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos5 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 f2gap801600 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 0.582941 1
gen-ip036 [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. 0.597265 2
scpl4 [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 0.628829 3
f2gap401600 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 0.673632 4
ns1952667 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.709619 5
MIPLIB Top 5 ramos3 [MIPLIB] F. Ramos Set covering problem from a product manufacturing application 1.360961 85
mod008inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.524318 185
seymour1 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.619041 309
hanoi5 [MIPLIB] M. Winkler Reformulated SAT instance from the 2010 SAT conference pseudo-Boolean competition. Solved due to the 2012 pseudo-Boolean competition. 1.667480 400
probportfolio [MIPLIB] Feng Qiu Sample average approximation formulation of a probabilistic portfolio optimization problem. Solved using ug[SCIP/spx], a distributed massively parallel version of SCIP run on 2,000 cores at the HLRN-II super computer facility. 1.822834 747


neos5: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-21
Assigned Model Group Rank/ISS in the MIC: 1 / 0.000

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-21 Model group: generated Model group: scp Model group: independentset Model group: neos-pseudoapplication-101
Name neos-pseudoapplication-21 generated scp independentset neos-pseudoapplication-101
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 / 0.001 2 / 0.765 3 / 0.770 4 / 0.967 5 / 0.983

Model Group Summary

The table below contains summary information for the five most similar model groups to neos5 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.000977 1
generated Simon Bowly Randomly generated integer and binary programming models. These results are part of an early phase of work aimed at generating diverse and challenging MIP models for experimental testing. We have aimed to produce small integer and binary programming models which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. 0.764970 2
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 0.769601 3
independentset Toni Sorrell These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 0.967178 4
neos-pseudoapplication-101 NEOS Server Submission Model coming from the NEOS Server with unknown application. Infeasibility claimed by CPLEX 12.6 and CPLEX 12.6.1 with extreme numerical caution emphasi after 4 and 2 hours computation, respectively. 0.983249 5