Instance - mod008inf

mod008inf: 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	markshare2 [MIPLIB]	markshare_5_0 [MIPLIB]	markshare1 [MIPLIB]	stein15inf [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 / 0.506	2 / 0.685	3 / 0.692	4 / 0.711	5 / 0.754
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	p2m2p1m1p0n100 [MIPLIB]	probportfolio [MIPLIB]	neos5 [MIPLIB]	n2seq36f [MIPLIB]	neos-885524 [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.	19 / 0.929	44 / 0.995	601 / 1.524	780 / 1.886	846 / 2.089
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 mod008inf, the five most similar instances to mod008inf according to the MIC, and the five most similar instances to mod008inf according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	mod008inf [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.000000	-
MIC Top 5	markshare2 [MIPLIB]	G. Cornuéjols, M. Dawande	Market sharing problem	0.505685	1
	markshare_5_0 [MIPLIB]	G. Cornuéjols, M. Dawande	Market sharing problem	0.685273	2
	markshare1 [MIPLIB]	G. Cornuéjols, M. Dawande	Market sharing problem	0.691980	3
	stein15inf [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.710930	4
	markshare_4_0 [MIPLIB]	G. Cornuéjols, M. Dawande	Market sharing problem	0.753551	5
MIPLIB Top 5	p2m2p1m1p0n100 [MIPLIB]	B. Krishnamoorthy, G. Pataki	A 0-1 knapsack problem constructed to be difficult	0.929155	19
	probportfolio [MIPLIB]	Feng Qiu	Sample average approximation formulation of a probabilistic portfolio optimization problem. Solved using ug[SCIP/spx], a distributed massively parallel version of SCIP run on 2,000 cores at the HLRN-II super computer facility.	0.994727	44
	neos5 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.524318	601
	n2seq36f [MIPLIB]	R. Meirich	Static line planning models on the Dutch IC network	1.886229	780
	neos-885524 [MIPLIB]	NEOS Server Submission	Instance coming from the NEOS Server with unknown application	2.088711	846

mod008inf: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB:	mod
Assigned Model Group Rank/ISS in the MIC:	125 / 2.645

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	markshare	scp	stein	neos-pseudoapplication-74	neos-pseudoapplication-21
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 / 0.967	2 / 1.103	3 / 1.229	4 / 1.332	5 / 1.436

Model Group Summary

The table below contains summary information for the five most similar model groups to mod008inf according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	markshare	G. Cornuéjols, M. Dawande	Market sharing problem	0.967036	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	1.103386	2
	stein	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.228575	3
	neos-pseudoapplication-74	Jeff Linderoth	(None provided)	1.331701	4
	neos-pseudoapplication-21	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.436094	5

mod008inf: Instance-to-Instance Comparison Results

Parent Instance (mod008inf)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

mod008inf: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary