Instance - genus-sym-g62-2

genus-sym-g62-2: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	Stephan Beyer
Description:	Minimum Genus instance, with symmetry breaking constraints, of g.62.2 (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	f2000 [MIPLIB]	neos-5189128-totara [MIPLIB]	genus-sym-grafo5708-48 [MIPLIB]	mod010 [MIPLIB]	f2gap801600 [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 / 0.972	2 / 1.137	3 / 1.184	4 / 1.187	5 / 1.188
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-grafo5708-48 [MIPLIB]	genus-g61-25 [MIPLIB]	supportcase10 [MIPLIB]	neos-3230376-yser [MIPLIB]	neos-950242 [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.	3 / 1.184	322 / 2.093	399 / 2.146	446 / 2.171	703 / 2.323
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-sym-g62-2, the five most similar instances to genus-sym-g62-2 according to the MIC, and the five most similar instances to genus-sym-g62-2 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	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.	0.000000	-
MIC Top 5	f2000 [MIPLIB]	M. Winkler	Reformulated SAT instance from the 2010 SAT conference pseudo-Boolean competition	0.971979	1
	neos-5189128-totara [MIPLIB]	Hans Mittelmann	distribution of fruit	1.137151	2
	genus-sym-grafo5708-48 [MIPLIB]	Stephan Beyer	Minimum Genus instance of grafo5708.48 from the Rome Graphs, with symmetry-breaking constraints.	1.183632	3
	mod010 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.187103	4
	f2gap801600 [MIPLIB]	Salim Haddadi	Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600)	1.188404	5
MIPLIB Top 5	genus-sym-grafo5708-48 [MIPLIB]	Stephan Beyer	Minimum Genus instance of grafo5708.48 from the Rome Graphs, with symmetry-breaking constraints.	1.183632	3
	genus-g61-25 [MIPLIB]	Stephan Beyer	Minimum Genus instance of g.61.25 (undirected) of the AT&T Graphs by Stephen C. North.	2.093301	322
	supportcase10 [MIPLIB]	Michael Winkler	MIP instances collected from Gurobi forum with unknown application	2.145721	399
	neos-3230376-yser [MIPLIB]	Jeff Linderoth	(None provided)	2.171199	446
	neos-950242 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	2.323158	703

genus-sym-g62-2: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB:	genus
Assigned Model Group Rank/ISS in the MIC:	1 / 1.519

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	genus	assign1	mine	2hopcds	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 / 1.520	2 / 1.694	3 / 1.783	4 / 1.785	5 / 1.797

Model Group Summary

The table below contains summary information for the five most similar model groups to genus-sym-g62-2 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	genus	Stephan Beyer	Minimum Genus model, with symmetry breaking constraints, of g.31.8 (undirected) of the AT&T Graphs by Stephen C. North.	1.519727	1
	assign1	Robert Fourer	Imported from the MIPLIB2010 submissions.	1.694177	2
	mine	Andreas Bley	Multi-period mine production scheduling model	1.783066	3
	2hopcds	Austin Buchanan	A problem in wireless networks. The objective is to select a minimum number of relay nodes so that any two nonadjacent nodes can communicate by way of the chosen relay nodes in at most s hops, where s is a problem input. The 2-hop case of this problem can be formulated as a set cover/hitting set problem with n binary variables and n^2 constraints: _{ k N(i) N(j) } x_k 1 for nonadjacent node pairs {i,j}. Despite the formulation's simplicity, models with as few as 120 variables are left unsolved after one hour using Gurobi 7.0.2.	1.785056	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.	1.797200	5

genus-sym-g62-2: Instance-to-Instance Comparison Results

Parent Instance (genus-sym-g62-2)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

genus-sym-g62-2: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary