Instance - blend2

blend2: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	MIPLIB submission pool
Description:	Imported from the MIPLIB2010 submissions.
	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	stein15inf [MIPLIB]	enlight4 [MIPLIB]	flugplinf [MIPLIB]	stein9inf [MIPLIB]	markshare_4_0 [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 / 0.812	2 / 0.851	3 / 0.860	4 / 0.885	5 / 0.885
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	aflow30a [MIPLIB]	rout [MIPLIB]	newdano [MIPLIB]	bienst2 [MIPLIB]	danoint [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.	193 / 1.260	374 / 1.406	472 / 1.478	474 / 1.479	615 / 1.624
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 blend2, the five most similar instances to blend2 according to the MIC, and the five most similar instances to blend2 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	blend2 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.000000	-
MIC Top 5	stein15inf [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.811928	1
	enlight4 [MIPLIB]	A. Zymolka	Model to solve instance of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions.	0.851145	2
	flugplinf [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.859899	3
	stein9inf [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.884684	4
	markshare_4_0 [MIPLIB]	G. Cornuéjols, M. Dawande	Market sharing problem	0.884771	5
MIPLIB Top 5	aflow30a [MIPLIB]	T. Achterberg	Arborescence flow problem	1.259642	193
	rout [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.406326	374
	newdano [MIPLIB]	Daniel Bienstock	Telecommunications applications	1.478014	472
	bienst2 [MIPLIB]	H. Mittelmann	Relaxed version of problem bienst	1.479378	474
	danoint [MIPLIB]	Daniel Bienstock	Telecommunications applications	1.624455	615

blend2: 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.

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	supportvectormachine	scp	markshare	neos-pseudoapplication-109	stein
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 / 1.380	2 / 1.447	3 / 1.470	4 / 1.522	5 / 1.553

Model Group Summary

The table below contains summary information for the five most similar model groups to blend2 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	supportvectormachine	Toni Sorrell	Suport vector machine with ramp loss. GSVM2-RL is the formulation found in Hess E. and Brooks P. (2015) paper, The Support Vector Machine and Mixed Integer Linear Programming: Ramp Loss SVM with L1-Norm Regularization	1.380167	1
	scp	Shunji Umetani	This is a random test model generator for SCP using the scheme of the following paper, namely the column cost c[j] are integer randomly generated from [1,100]; every column covers at least one row; and every row is covered by at least two columns. see reference: E. Balas and A. Ho, Set covering algorithms using cutting planes, heuristics, and subgradient optimization: A computational study, Mathematical Programming, 12 (1980), 37-60. We have newly generated Classes I-N with the following parameter values, where each class has five models. We have also generated reduced models by a standard pricing method in the following paper: S. Umetani and M. Yagiura, Relaxation heuristics for the set covering problem, Journal of the Operations Research Society of Japan, 50 (2007), 350-375. You can obtain the model generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark	1.447395	2
	markshare	G. Cornuéjols, M. Dawande	Market sharing problem	1.470329	3
	neos-pseudoapplication-109	Jeff Linderoth	(None provided)	1.521537	4
	stein	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.553198	5

blend2: Instance-to-Instance Comparison Results

Parent Instance (blend2)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

blend2: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary