Instance - markshare1

markshare1: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	G. Cornuéjols, M. Dawande
Description:	Market sharing 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	markshare_5_0 [MIPLIB]	markshare2 [MIPLIB]	stein15inf [MIPLIB]	mod008inf [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 / 0.636	2 / 0.669	3 / 0.685	4 / 0.692	5 / 0.727
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	markshare_5_0 [MIPLIB]	markshare2 [MIPLIB]	markshare_4_0 [MIPLIB]	gt2 [MIPLIB]	neos-5045105-creuse [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 / 0.636	2 / 0.669	5 / 0.727	14 / 0.877	779 / 1.891
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 markshare1, the five most similar instances to markshare1 according to the MIC, and the five most similar instances to markshare1 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	markshare1 [MIPLIB]	G. Cornuéjols, M. Dawande	Market sharing problem	0.000000	-
MIC Top 5	markshare_5_0 [MIPLIB]	G. Cornuéjols, M. Dawande	Market sharing problem	0.636121	1
	markshare2 [MIPLIB]	G. Cornuéjols, M. Dawande	Market sharing problem	0.669197	2
	stein15inf [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.685030	3
	mod008inf [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.691980	4
	markshare_4_0 [MIPLIB]	G. Cornuéjols, M. Dawande	Market sharing problem	0.726501	5
MIPLIB Top 5	markshare_5_0 [MIPLIB]	G. Cornuéjols, M. Dawande	Market sharing problem	0.636121	1
	markshare2 [MIPLIB]	G. Cornuéjols, M. Dawande	Market sharing problem	0.669197	2
	markshare_4_0 [MIPLIB]	G. Cornuéjols, M. Dawande	Market sharing problem	0.726501	5
	gt2 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.876583	14
	neos-5045105-creuse [MIPLIB]	Jeff Linderoth	(None provided)	1.890519	779

markshare1: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB:	markshare
Assigned Model Group Rank/ISS in the MIC:	1 / 0.887

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	markshare	scp	stein	neos-pseudoapplication-74	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 / 0.888	2 / 1.082	3 / 1.214	4 / 1.216	5 / 1.361

Model Group Summary

The table below contains summary information for the five most similar model groups to markshare1 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	markshare	G. Cornuéjols, M. Dawande	Market sharing problem	0.887819	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	1.081873	2
	stein	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.214133	3
	neos-pseudoapplication-74	Jeff Linderoth	(None provided)	1.215545	4
	neos-pseudoapplication-109	Jeff Linderoth	(None provided)	1.360792	5

markshare1: Instance-to-Instance Comparison Results

Parent Instance (markshare1)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

markshare1: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary