Instance - graph40-40-1rand

graph40-40-1rand: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	Michael Bastubbe
Description:	Packing Cuts in Undirected Graphs. Instances are described in 4.1.
	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	graph40-80-1rand [MIPLIB]	neos-4703857-ahuroa [MIPLIB]	neos-876808 [MIPLIB]	thor50dday [MIPLIB]	neos-4322846-ryton [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 / 0.140	2 / 0.260	3 / 0.313	4 / 0.315	5 / 0.320
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	graph40-80-1rand [MIPLIB]	graph40-20-1rand [MIPLIB]	graph20-80-1rand [MIPLIB]	graph20-20-1rand [MIPLIB]	neos-3555904-turama [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 / 0.140	9 / 0.383	15 / 0.416	106 / 0.749	569 / 1.542
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 graph40-40-1rand, the five most similar instances to graph40-40-1rand according to the MIC, and the five most similar instances to graph40-40-1rand according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	graph40-40-1rand [MIPLIB]	Michael Bastubbe	Packing Cuts in Undirected Graphs. Instances are described in 4.1.	0.000000	-
MIC Top 5	graph40-80-1rand [MIPLIB]	Michael Bastubbe	Packing Cuts in Undirected Graphs. Instances are described in 4.1.	0.139913	1
	neos-4703857-ahuroa [MIPLIB]	Jeff Linderoth	(None provided)	0.259888	2
	neos-876808 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	0.312979	3
	thor50dday [MIPLIB]	Daniel Rehfeldt	Steiner tree problem in graphs instance, consisting of a complete graph with 231 vertices of which 50 are terminals. The vertices correspond to cities (mostly capitals) around the world, the edges weights correspond to the distances in km.	0.314637	4
	neos-4322846-ryton [MIPLIB]	Jeff Linderoth	(None provided)	0.320143	5
MIPLIB Top 5	graph40-80-1rand [MIPLIB]	Michael Bastubbe	Packing Cuts in Undirected Graphs. Instances are described in 4.1.	0.139913	1
	graph40-20-1rand [MIPLIB]	Michael Bastubbe	Packing Cuts in Undirected Graphs. Instances are described in 4.1.	0.383185	9
	graph20-80-1rand [MIPLIB]	Michael Bastubbe	Packing Cuts in Undirected Graphs. Instances are described in 4.1.	0.415538	15
	graph20-20-1rand [MIPLIB]	Michael Bastubbe	Packing Cuts in Undirected Graphs. Instances are described in 4.1.	0.749160	106
	neos-3555904-turama [MIPLIB]	Hans Mittelmann	Collection of anonymous submissions to the NEOS Server for Optimization	1.541805	569

graph40-40-1rand: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB:	graphs
Assigned Model Group Rank/ISS in the MIC:	5 / 0.850

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	map	rmatr	polygonpack	n37	graphs
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 / 0.452	2 / 0.472	3 / 0.525	4 / 0.781	5 / 0.851

Model Group Summary

The table below contains summary information for the five most similar model groups to graph40-40-1rand according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	map	Kiyan Ahmadizadeh	Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem	0.451668	1
	rmatr	Dmitry Krushinsky	Model coming from a formulation of the p-Median problem using square cost matrices	0.471789	2
	polygonpack	Antonio Frangioni	Given a set P of polygons, not necessarily convex, and a rectangle, we want to find the subset S of P with largest possible total area and a position every p in S so that there are no overlaps and they are all included in the rectangle. We allow a small set of rotations (0, 90, 180, 270 degrees) for every polygon. The problem is simplified w.r.t. the real application because the polygons do not have (fully encircled) "holes", which are supposedly filled-in separately, although they can have "bays". Models are saved as .lp. Model LpPackingModel_Dim means that we are trying to pack polygons taken from set ; there are currently 5 different sets, and is 7, 10 or 15.	0.525262	3
	n37	J. Aronson	Fixed charge transportation problem	0.780655	4
	graphs	Michael Bastubbe	Packing Cuts in Undirected Graphs. Models are described in 4.1.	0.850762	5

graph40-40-1rand: Instance-to-Instance Comparison Results

Parent Instance (graph40-40-1rand)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

graph40-40-1rand: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary