Instance - fhnw-sq2

fhnw-sq2: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	Simon Felix
Description:	Combinatorial toy fesability problem: Magic square. Instances 1 & 2 are feasible, instance 3 is unknown. Reported to be solved after 46883 seconds with ParaSCIP using 72 cores.
	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	fhnw-sq3 [MIPLIB]	gt2 [MIPLIB]	khb05250 [MIPLIB]	neos-911970 [MIPLIB]	neos-3421095-cinca [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 / 0.607	2 / 0.735	3 / 0.750	4 / 0.848	5 / 0.873
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	fhnw-sq3 [MIPLIB]	neos-3004026-krka [MIPLIB]	fiball [MIPLIB]	neos-5125849-lopori [MIPLIB]	no-ip-65059* [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 / 0.607	192 / 1.286	383 / 1.404	521 / 1.494	131* / 1.250*
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 fhnw-sq2, the five most similar instances to fhnw-sq2 according to the MIC, and the five most similar instances to fhnw-sq2 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	fhnw-sq2 [MIPLIB]	Simon Felix	Combinatorial toy fesability problem: Magic square. Instances 1 & 2 are feasible, instance 3 is unknown. Reported to be solved after 46883 seconds with ParaSCIP using 72 cores.	0.000000	-
MIC Top 5	fhnw-sq3 [MIPLIB]	Simon Felix	Combinatorial toy fesability problem: Magic square. Instances 1 & 2 are feasible, instance 3 is unknown.	0.606722	1
	gt2 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.735045	2
	khb05250 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.750243	3
	neos-911970 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	0.848478	4
	neos-3421095-cinca [MIPLIB]	Jeff Linderoth	(None provided)	0.872953	5
MIPLIB Top 5	fhnw-sq3 [MIPLIB]	Simon Felix	Combinatorial toy fesability problem: Magic square. Instances 1 & 2 are feasible, instance 3 is unknown.	0.606722	1
	neos-3004026-krka [MIPLIB]	Jeff Linderoth	(None provided)	1.286232	192
	fiball [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.403703	383
	neos-5125849-lopori [MIPLIB]	Jeff Linderoth	(None provided)	1.493899	521
	no-ip-65059* [MIPLIB]	Christopher Hojny	integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists	1.250078*	131*

fhnw-sq2: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB:	fhnw-sq
Assigned Model Group Rank/ISS in the MIC:	2 / 1.239

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	neos-pseudoapplication-74	fhnw-sq	scp	pfour	neos-pseudoapplication-109
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 / 1.194	2 / 1.239	3 / 1.323	4 / 1.446	5 / 1.478

Model Group Summary

The table below contains summary information for the five most similar model groups to fhnw-sq2 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	neos-pseudoapplication-74	Jeff Linderoth	(None provided)	1.194486	1
	fhnw-sq	Simon Felix	Combinatorial toy fesability problem: Magic square. Models 1 & 2 are feasible, model 3 is unknown.	1.239387	2
	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	1.322847	3
	pfour	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.446089	4
	neos-pseudoapplication-109	Jeff Linderoth	(None provided)	1.477545	5

fhnw-sq2: Instance-to-Instance Comparison Results

Parent Instance (fhnw-sq2)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

fhnw-sq2: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary