supportcase7: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Michael Winkler
Description: MIP instances collected from Gurobi forum with unknown application
MIPLIB Entry

Parent Instance (supportcase7)

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

supportcase7 Raw supportcase7 Decomposed supportcase7 Composite of MIC top 5 supportcase7 Composite of MIPLIB top 5 supportcase7 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-5045105-creuse decomposed osorio-cta decomposed ran14x18-disj-8 decomposed f2000 decomposed neos-3437289-erdre decomposed
Name neos-5045105-creuse [MIPLIB] osorio-cta [MIPLIB] ran14x18-disj-8 [MIPLIB] f2000 [MIPLIB] neos-3437289-erdre [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 / 1.350 2 / 1.364 3 / 1.395 4 / 1.424 5 / 1.425
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-5045105-creuse raw osorio-cta raw ran14x18-disj-8 raw f2000 raw neos-3437289-erdre 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.
dell decomposed irish-electricity decomposed supportcase23 decomposed neos-5182409-nasivi decomposed ns1690781 decomposed
Name dell [MIPLIB] irish-electricity [MIPLIB] supportcase23 [MIPLIB] neos-5182409-nasivi [MIPLIB] dell** [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.
153 / 1.810 337 / 1.987 348 / 1.997 630 / 2.137 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.
dell raw irish-electricity raw supportcase23 raw neos-5182409-nasivi raw ns1690781 raw

Instance Summary

The table below contains summary information for supportcase7, the five most similar instances to supportcase7 according to the MIC, and the five most similar instances to supportcase7 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance supportcase7 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 0.000000 -
MIC Top 5 neos-5045105-creuse [MIPLIB] Jeff Linderoth (None provided) 1.350218 1
osorio-cta [MIPLIB] Jordi Castro Set of MILP instances of the CTA (Controlled Tabular Adjustment) problem, a method to protect statistical tabular data, belonging to the field of SDC (Statistical Disclosure Control). Raw data of instances are real or pseudo-real, provided by several National Statistical Agencies. We generated the CTA problem for these data. 1.363592 2
ran14x18-disj-8 [MIPLIB] J. Aronson Fixed charge transportation problem 1.394815 3
f2000 [MIPLIB] M. Winkler Reformulated SAT instance from the 2010 SAT conference pseudo-Boolean competition 1.424146 4
neos-3437289-erdre [MIPLIB] Jeff Linderoth (None provided) 1.424906 5
MIPLIB Top 5 dell [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.810033 153
irish-electricity [MIPLIB] Paula Carroll Unit Commitment - Irish Test systems We submit a sample Unit Commitment test instance based on an Irish case study. We include a readme file, a solution file, and additional data so that users may generate further UC test instances. 1.986501 337
supportcase23 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 1.996515 348
neos-5182409-nasivi [MIPLIB] Jeff Linderoth (None provided) 2.136731 630
dell** [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application. N.A.** N.A.**


supportcase7: 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: ran Model group: neos-pseudoapplication-108 Model group: independentset Model group: ger50 Model group: neos-pseudoapplication-21
Name ran neos-pseudoapplication-108 independentset ger50 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 / 1.857 2 / 2.108 3 / 2.115 4 / 2.116 5 / 2.147

Model Group Summary

The table below contains summary information for the five most similar model groups to supportcase7 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 ran J. Aronson Fixed charge transportation problem 1.857338 1
neos-pseudoapplication-108 NEOS Server Submission Model coming from the NEOS Server with unknown application 2.108290 2
independentset Toni Sorrell These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 2.114602 3
ger50 C. Raack Multi-layer network design problem using a link-flow formulation over a path-flow formulation. 2.116024 4
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 2.146627 5


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