Instance - roll3000


	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	supportcase21i [MIPLIB]	gen-ip016 [MIPLIB]	gen-ip021 [MIPLIB]	gen-ip002 [MIPLIB]	neos5 [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 / 1.504	2 / 1.543	3 / 1.565	4 / 1.575	5 / 1.579
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	physiciansched5-3 [MIPLIB]	misc05inf [MIPLIB]	neos-555884 [MIPLIB]	physiciansched3-4 [MIPLIB]	neos-5182409-nasivi [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.	69 / 1.849	119 / 1.908	719 / 2.192	757 / 2.219	774 / 2.230
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 roll3000, the five most similar instances to roll3000 according to the MIC, and the five most similar instances to roll3000 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	roll3000 [MIPLIB]	L. Kroon	Rolling stock and line planning instance	0.000000	-
MIC Top 5	supportcase21i [MIPLIB]	Michael Winkler	MIP with Indicator instances collected from Gurobi forum with unknown application	1.503960	1
	gen-ip016 [MIPLIB]	Simon Bowly	Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. Solved with XPRESS in a few seconds.	1.543168	2
	gen-ip021 [MIPLIB]	Simon Bowly	Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms.	1.564617	3
	gen-ip002 [MIPLIB]	Simon Bowly	Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms.	1.575088	4
	neos5 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.579208	5
MIPLIB Top 5	physiciansched5-3 [MIPLIB]	Pelin Damci-Kurt	Physician scheduling problem for hospitalist, radiology and kidney specialist groups.	1.849488	69
	misc05inf [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.907511	119
	neos-555884 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	2.192290	719
	physiciansched3-4 [MIPLIB]	Pelin Damci-Kurt	Physician scheduling problem for hospitalist, radiology and kidney specialist groups.	2.219114	757
	neos-5182409-nasivi [MIPLIB]	Jeff Linderoth	(None provided)	2.229755	774

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	scp	neos-pseudoapplication-21	markshare	stein	independentset
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 / 1.777	2 / 1.831	3 / 1.882	4 / 1.894	5 / 1.992

Model Group Summary

The table below contains summary information for the five most similar model groups to roll3000 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	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	1.777413	1
	neos-pseudoapplication-21	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.830679	2
	markshare	G. Cornuéjols, M. Dawande	Market sharing problem	1.882206	3
	stein	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.893904	4
	independentset	Toni Sorrell	These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs.	1.992481	5

Type:	Instance
Submitter:	L. Kroon
Description:	Rolling stock and line planning instance
	MIPLIB Entry

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

roll3000: Instance-to-Instance Comparison Results

Parent Instance (roll3000)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

roll3000: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary