Instance - timtab1CUTS

timtab1CUTS: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	C. Liebchen, R. Möhring
Description:	Public transport scheduling 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	mad [MIPLIB]	gen-ip054 [MIPLIB]	f2gap40400 [MIPLIB]	neos-3322547-alsek [MIPLIB]	neos-848589 [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 / 0.862	2 / 0.918	3 / 0.968	4 / 0.979	5 / 0.982
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	ic97_tension [MIPLIB]	csched007 [MIPLIB]	neos-4338804-snowy [MIPLIB]	neos-3610173-itata [MIPLIB]	icir97_tension [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.	25 / 1.119	162 / 1.327	269 / 1.393	618 / 1.556	810 / 1.805
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 timtab1CUTS, the five most similar instances to timtab1CUTS according to the MIC, and the five most similar instances to timtab1CUTS according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	timtab1CUTS [MIPLIB]	C. Liebchen, R. Möhring	Public transport scheduling problem	0.000000	-
MIC Top 5	mad [MIPLIB]	Koichi Fujii	Mean-Absolute Deviation Model for Car Dealerships	0.861921	1
	gen-ip054 [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.	0.918259	2
	f2gap40400 [MIPLIB]	Salim Haddadi	Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600)	0.968092	3
	neos-3322547-alsek [MIPLIB]	Jeff Linderoth	(None provided)	0.979050	4
	neos-848589 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	0.981864	5
MIPLIB Top 5	ic97_tension [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.118955	25
	csched007 [MIPLIB]	Tallys Yunes	Cumulative scheduling problem instance	1.326617	162
	neos-4338804-snowy [MIPLIB]	Jeff Linderoth	(None provided)	1.392801	269
	neos-3610173-itata [MIPLIB]	Jeff Linderoth	(None provided)	1.556316	618
	icir97_tension [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.805042	810

timtab1CUTS: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB:	timtab
Assigned Model Group Rank/ISS in the MIC:	1 / 0.758

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	timtab	scp	neos-pseudoapplication-74	neos-pseudoapplication-21	markshare
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 / 0.758	2 / 1.319	3 / 1.418	4 / 1.465	5 / 1.477

Model Group Summary

The table below contains summary information for the five most similar model groups to timtab1CUTS according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	timtab	C. Liebchen, R. Möhring	Public transport scheduling problem	0.758291	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	1.319347	2
	neos-pseudoapplication-74	Jeff Linderoth	(None provided)	1.417866	3
	neos-pseudoapplication-21	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.464918	4
	markshare	G. Cornuéjols, M. Dawande	Market sharing problem	1.477275	5

timtab1CUTS: Instance-to-Instance Comparison Results

Parent Instance (timtab1CUTS)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

timtab1CUTS: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary