ramos3: Instance-to-Instance Comparison Results

Type: Instance
Submitter: F. Ramos
Description: Set covering problem from a product manufacturing application
MIPLIB Entry

Parent Instance (ramos3)

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

ramos3 Raw ramos3 Decomposed ramos3 Composite of MIC top 5 ramos3 Composite of MIPLIB top 5 ramos3 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 neos5 decomposed scpl4 decomposed mod010 decomposed f2gap401600 decomposed
Name f2gap801600 [MIPLIB] neos5 [MIPLIB] scpl4 [MIPLIB] mod010 [MIPLIB] f2gap401600 [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 / 1.347 2 / 1.361 3 / 1.394 4 / 1.399 5 / 1.417
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
f2gap801600 raw neos5 raw scpl4 raw mod010 raw f2gap401600 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.
glass-sc decomposed iis-glass-cov decomposed iis-hc-cov decomposed seymour decomposed ex1010-pi decomposed
Name glass-sc [MIPLIB] iis-glass-cov [MIPLIB] iis-hc-cov [MIPLIB] seymour [MIPLIB] ex1010-pi [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.
20 / 1.548 23 / 1.552 25 / 1.563 178 / 1.958 447 / 2.133
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
glass-sc raw iis-glass-cov raw iis-hc-cov raw seymour raw ex1010-pi raw

Instance Summary

The table below contains summary information for ramos3, the five most similar instances to ramos3 according to the MIC, and the five most similar instances to ramos3 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance ramos3 [MIPLIB] F. Ramos Set covering problem from a product manufacturing application 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) 1.347092 1
neos5 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.360961 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 1.394378 3
mod010 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.399396 4
f2gap401600 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.416937 5
MIPLIB Top 5 glass-sc [MIPLIB] Marc Pfetsch Set covering problems arising from a Benders algorithm for finding maximum feasible subsystems. More details on the generation is given in the README file in the tarball. 1.548261 20
iis-glass-cov [MIPLIB] Marc Pfetsch 23 "middlehard" Set-Covering Instances for MIPLIB: they have a small number of variables compared to the number of constraints and CPLEX 12.1 needs about one hour to solve them.For more information, have a look into the readme file which explains how the instances can be created. 1.551718 23
iis-hc-cov [MIPLIB] Marc Pfetsch 23 "middlehard" Set-Covering Instances for MIPLIB: they have a small number of variables compared to the number of constraints and CPLEX 12.1 needs about one hour to solve them.For more information, have a look into the readme file which explains how the instances can be created. 1.563207 25
seymour [MIPLIB] W. Cook, P. Seymour A set-covering problem that arose from work related to the proof of the 4-color theorem. 1.957550 178
ex1010-pi [MIPLIB] M. Winkler Logic synthesis problem from the 2010 SAT conference pseudo-Boolean competition 2.132604 447


ramos3: 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: independentset Model group: generated Model group: f2gap Model group: neos-pseudoapplication-101 Model group: neos-pseudoapplication-21
Name independentset generated f2gap neos-pseudoapplication-101 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 / 1.758 2 / 1.802 3 / 1.874 4 / 1.877 5 / 1.900

Model Group Summary

The table below contains summary information for the five most similar model groups to ramos3 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 independentset Toni Sorrell These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 1.757544 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. 1.802429 2
f2gap Salim Haddadi Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.873820 3
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. 1.876771 4
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.899682 5