Instance - nag


	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	neos5 [MIPLIB]	f2gap801600 [MIPLIB]	mine-166-5 [MIPLIB]	mod010 [MIPLIB]	scpl4 [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 / 1.252	2 / 1.293	3 / 1.309	4 / 1.320	5 / 1.326
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	icir97_tension [MIPLIB]	arki001 [MIPLIB]	neos-4264598-oueme [MIPLIB]	lectsched-5-obj [MIPLIB]	supportcase17 [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.	109 / 1.787	289 / 2.014	369 / 2.062	903 / 2.293	947 / 2.329
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 nag, the five most similar instances to nag according to the MIC, and the five most similar instances to nag according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	nag [MIPLIB]	N. Shenoy	Unknown Application from COR@L	0.000000	-
MIC Top 5	neos5 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.252251	1
	f2gap801600 [MIPLIB]	Salim Haddadi	Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600)	1.292889	2
	mine-166-5 [MIPLIB]	Andreas Bley	Multi-period mine production scheduling instance	1.308874	3
	mod010 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.320086	4
	scpl4 [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	1.326166	5
MIPLIB Top 5	icir97_tension [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.787437	109
	arki001 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	2.014288	289
	neos-4264598-oueme [MIPLIB]	Jeff Linderoth	(None provided)	2.061572	369
	lectsched-5-obj [MIPLIB]	Harald Schilly	scheduling lectures at university - smaller subset of data with objective to minimize certain overlappings	2.293428	903
	supportcase17 [MIPLIB]	Michael Winkler	MIP instances collected from Gurobi forum with unknown application	2.328531	947

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	neos-pseudoapplication-21	independentset	generated	scp	neos-pseudoapplication-101
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 / 1.422	2 / 1.463	3 / 1.492	4 / 1.536	5 / 1.622

Model Group Summary

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

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	neos-pseudoapplication-21	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.422269	1
	independentset	Toni Sorrell	These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs.	1.463244	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.	1.491784	3
	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	1.536256	4
	neos-pseudoapplication-101	NEOS Server Submission	Model coming from the NEOS Server with unknown application. Infeasibility claimed by CPLEX 12.6 and CPLEX 12.6.1 with extreme numerical caution emphasi after 4 and 2 hours computation, respectively.	1.621681	5

Type:	Instance
Submitter:	N. Shenoy
Description:	Unknown Application from COR@L
	MIPLIB Entry

Model Group Assignment from MIPLIB:	no model group assignment
Assigned Model Group Rank/ISS in the MIC:	N.A. / N.A.

nag: Instance-to-Instance Comparison Results

Parent Instance (nag)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

nag: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary