Instance - ns1856153

ns1856153: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	NEOS Server Submission
Description:	Sensor placement problem
	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	neos-911970 [MIPLIB]	fhnw-sq3 [MIPLIB]	fhnw-sq2 [MIPLIB]	f2gap40400 [MIPLIB]	neos-827015 [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 / 1.305	2 / 1.345	3 / 1.350	4 / 1.351	5 / 1.354
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	ns1904248 [MIPLIB]	neos-555343 [MIPLIB]	neos-555424 [MIPLIB]	decomp2 [MIPLIB]	decomp1 [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.	294 / 1.748	477 / 1.815	537 / 1.838	696 / 1.917	714 / 1.934
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 ns1856153, the five most similar instances to ns1856153 according to the MIC, and the five most similar instances to ns1856153 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	ns1856153 [MIPLIB]	NEOS Server Submission	Sensor placement problem	0.000000	-
MIC Top 5	neos-911970 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.305306	1
	fhnw-sq3 [MIPLIB]	Simon Felix	Combinatorial toy fesability problem: Magic square. Instances 1 & 2 are feasible, instance 3 is unknown.	1.345260	2
	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.	1.349691	3
	f2gap40400 [MIPLIB]	Salim Haddadi	Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600)	1.351303	4
	neos-827015 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.354413	5
MIPLIB Top 5	ns1904248 [MIPLIB]	NEOS Server Submission	Sensor placement problem	1.748230	294
	neos-555343 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.815397	477
	neos-555424 [MIPLIB]	NEOS Server Submission	Instance coming from the NEOS Server with unknown application	1.838269	537
	decomp2 [MIPLIB]	Martin Berger	Finds special structures in MIPs.	1.916937	696
	decomp1 [MIPLIB]	Martin Berger	Finds special structures in MIPs.	1.933980	714

ns1856153: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB:	neos-pseudoapplication-6
Assigned Model Group Rank/ISS in the MIC:	104 / 2.540

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	neos-pseudoapplication-95	neos-pseudoapplication-74	scp	stein	neos-pseudoapplication-77
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 / 1.714	2 / 1.774	3 / 1.836	4 / 1.877	5 / 1.878

Model Group Summary

The table below contains summary information for the five most similar model groups to ns1856153 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	neos-pseudoapplication-95	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.713576	1
	neos-pseudoapplication-74	Jeff Linderoth	(None provided)	1.773597	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	1.836304	3
	stein	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.877090	4
	neos-pseudoapplication-77	Jeff Linderoth	(None provided)	1.878318	5

ns1856153: Instance-to-Instance Comparison Results

Parent Instance (ns1856153)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

ns1856153: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary