Instance - genus-g31-8

genus-g31-8: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	Stephan Beyer
Description:	Minimum Genus instance of g.31.8 (undirected) of the AT&T Graphs by Stephen C. North.
	MIPLIB Entry


	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.

Decomposed These decomposed images were created by GCG.
Name	genus-sym-g31-8 [MIPLIB]	ger50-17-ptp-pop-6t [MIPLIB]	osorio-cta [MIPLIB]	assign1-5-8 [MIPLIB]	neos-848198 [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 / 0.365	2 / 1.276	3 / 1.346	4 / 1.361	5 / 1.365
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.

Decomposed These decomposed images were created by GCG.
Name	genus-sym-g31-8 [MIPLIB]	genus-sym-grafo5708-48 [MIPLIB]	genus-sym-g62-2 [MIPLIB]	genus-g61-25 [MIPLIB]	graph20-80-1rand [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.	1 / 0.365	54 / 1.535	58 / 1.550	127 / 1.688	575 / 1.966
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.

Instance Summary

The table below contains summary information for genus-g31-8, the five most similar instances to genus-g31-8 according to the MIC, and the five most similar instances to genus-g31-8 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	genus-g31-8 [MIPLIB]	Stephan Beyer	Minimum Genus instance of g.31.8 (undirected) of the AT&T Graphs by Stephen C. North.	0.000000	-
MIC Top 5	genus-sym-g31-8 [MIPLIB]	Stephan Beyer	Minimum Genus instance, with symmetry breaking constraints, of g.31.8 (undirected) of the AT&T Graphs by Stephen C. North.	0.364604	1
	ger50-17-ptp-pop-6t [MIPLIB]	C. Raack	Multi-layer network design problem using a link-flow formulation over a path-flow formulation.	1.276258	2
	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.	1.346447	3
	assign1-5-8 [MIPLIB]	Robert Fourer	Imported from the MIPLIB2010 submissions.	1.361167	4
	neos-848198 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.365388	5
MIPLIB Top 5	genus-sym-g31-8 [MIPLIB]	Stephan Beyer	Minimum Genus instance, with symmetry breaking constraints, of g.31.8 (undirected) of the AT&T Graphs by Stephen C. North.	0.364604	1
	genus-sym-grafo5708-48 [MIPLIB]	Stephan Beyer	Minimum Genus instance of grafo5708.48 from the Rome Graphs, with symmetry-breaking constraints.	1.534532	54
	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.	1.549746	58
	genus-g61-25 [MIPLIB]	Stephan Beyer	Minimum Genus instance of g.61.25 (undirected) of the AT&T Graphs by Stephen C. North.	1.687625	127
	graph20-80-1rand [MIPLIB]	Michael Bastubbe	Packing Cuts in Undirected Graphs. Instances are described in 4.1.	1.965772	575

genus-g31-8: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB:	genus
Assigned Model Group Rank/ISS in the MIC:	187 / 2.830

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	timtab	neos-pseudoapplication-70	generated	independentset	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 / 1.861	2 / 1.910	3 / 1.962	4 / 1.963	5 / 1.963

Model Group Summary

The table below contains summary information for the five most similar model groups to genus-g31-8 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	timtab	C. Liebchen, R. Möhring	Public transport scheduling problem	1.860921	1
	neos-pseudoapplication-70	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.909923	2
	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.	1.961520	3
	independentset	Toni Sorrell	These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs.	1.962946	4
	neos-pseudoapplication-21	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.963028	5

genus-g31-8: Instance-to-Instance Comparison Results

Parent Instance (genus-g31-8)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

genus-g31-8: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary