icir97_tension: Instance-to-Instance Comparison Results

Type: Instance
Submitter: MIPLIB submission pool
Description: Imported from the MIPLIB2010 submissions.
MIPLIB Entry

Parent Instance (icir97_tension)

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

icir97_tension Raw icir97_tension Decomposed icir97_tension Composite of MIC top 5 icir97_tension Composite of MIPLIB top 5 icir97_tension 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.
iis-glass-cov decomposed iis-hc-cov decomposed f2gap801600 decomposed glass-sc decomposed neos-885524 decomposed
Name iis-glass-cov [MIPLIB] iis-hc-cov [MIPLIB] f2gap801600 [MIPLIB] glass-sc [MIPLIB] neos-885524 [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 / 1.266 2 / 1.268 3 / 1.291 4 / 1.296 5 / 1.322
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
iis-glass-cov raw iis-hc-cov raw f2gap801600 raw glass-sc raw neos-885524 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.
nh97_tension decomposed csched007 decomposed nag decomposed timtab1CUTS decomposed ic97_tension decomposed
Name nh97_tension [MIPLIB] csched007 [MIPLIB] nag [MIPLIB] timtab1CUTS [MIPLIB] ic97_tension [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.
38 / 1.609 88 / 1.778 95 / 1.787 102 / 1.805 163 / 1.947
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
nh97_tension raw csched007 raw nag raw timtab1CUTS raw ic97_tension raw

Instance Summary

The table below contains summary information for icir97_tension, the five most similar instances to icir97_tension according to the MIC, and the five most similar instances to icir97_tension according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance icir97_tension [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 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. 1.266495 1
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. 1.268029 2
f2gap801600 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.290671 3
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. 1.295756 4
neos-885524 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.321550 5
MIPLIB Top 5 nh97_tension [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.609283 38
csched007 [MIPLIB] Tallys Yunes Cumulative scheduling problem instance 1.778493 88
nag [MIPLIB] N. Shenoy Unknown Application from COR@L 1.787437 95
timtab1CUTS [MIPLIB] C. Liebchen, R. Möhring Public transport scheduling problem 1.805042 102
ic97_tension [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.946727 163


icir97_tension: 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: neos-pseudoapplication-101 Model group: f2gap Model group: maxfeassub
Name independentset generated neos-pseudoapplication-101 f2gap maxfeassub
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 / 1.506 2 / 1.513 3 / 1.622 4 / 1.630 5 / 1.653

Model Group Summary

The table below contains summary information for the five most similar model groups to icir97_tension 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. 1.506075 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. 1.513112 2
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. 1.621818 3
f2gap Salim Haddadi Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.629844 4
maxfeassub 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. 1.653314 5