Instance - eva1aprime5x5opt


	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	eva1aprime6x6opt [MIPLIB]	f2gap40400 [MIPLIB]	scpm1 [MIPLIB]	gen-ip021 [MIPLIB]	gen-ip002 [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 / 1.401	2 / 1.439	3 / 1.467	4 / 1.474	5 / 1.480
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	eva1aprime6x6opt [MIPLIB]	neos-619167 [MIPLIB]	neos-3754224-navua [MIPLIB]	stockholm [MIPLIB]	neos-3594536-henty [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 / 1.401	92 / 1.708	580 / 1.897	617 / 1.916	665 / 1.941
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 eva1aprime5x5opt, the five most similar instances to eva1aprime5x5opt according to the MIC, and the five most similar instances to eva1aprime5x5opt according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	eva1aprime5x5opt [MIPLIB]	Yoshihiro Kanno	MILP approach to generate structures with negative thermal expansion coefficients	0.000000	-
MIC Top 5	eva1aprime6x6opt [MIPLIB]	Yoshihiro Kanno	MILP approach to generate structures with negative thermal expansion coefficients	1.400931	1
	f2gap40400 [MIPLIB]	Salim Haddadi	Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600)	1.439472	2
	scpm1 [MIPLIB]	Shunji Umetani	This is a random test instance 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 instances. We have also generated reduced instances 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 instance generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark	1.467206	3
	gen-ip021 [MIPLIB]	Simon Bowly	Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms.	1.473644	4
	gen-ip002 [MIPLIB]	Simon Bowly	Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms.	1.479864	5
MIPLIB Top 5	eva1aprime6x6opt [MIPLIB]	Yoshihiro Kanno	MILP approach to generate structures with negative thermal expansion coefficients	1.400931	1
	neos-619167 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.707998	92
	neos-3754224-navua [MIPLIB]	Jeff Linderoth	(None provided)	1.896880	580
	stockholm [MIPLIB]	Paul Rubin	Toll booth placement problem	1.915631	617
	neos-3594536-henty [MIPLIB]	Jeff Linderoth	(None provided)	1.940769	665

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	evaprime	scp	neos-pseudoapplication-21	stein	generated
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 / 1.465	2 / 1.945	3 / 1.951	4 / 2.058	5 / 2.063

Model Group Summary

The table below contains summary information for the five most similar model groups to eva1aprime5x5opt according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	evaprime	Yoshihiro Kanno	MILP approach to generate structures with negative thermal expansion coefficients	1.465036	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	1.945191	2
	neos-pseudoapplication-21	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.950987	3
	stein	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	2.058147	4
	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.	2.062597	5

Type:	Instance
Submitter:	Yoshihiro Kanno
Description:	MILP approach to generate structures with negative thermal expansion coefficients
	MIPLIB Entry

eva1aprime5x5opt: Instance-to-Instance Comparison Results

Parent Instance (eva1aprime5x5opt)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

eva1aprime5x5opt: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary

Model Group Assignment from MIPLIB:	evaprime
Assigned Model Group Rank/ISS in the MIC:	1 / 1.465