Instance - timtab1

timtab1: 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	g503inf [MIPLIB]	gsvm2rl12 [MIPLIB]	gsvm2rl3 [MIPLIB]	gt2 [MIPLIB]	neos-5192052-neckar [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 / 0.880	3 / 0.882	4 / 0.906	5 / 0.937
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	timtab1CUTS [MIPLIB]	ic97_potential [MIPLIB]	nh97_tension [MIPLIB]	icir97_potential [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.	84 / 1.087	416 / 1.324	498 / 1.385	607 / 1.522	856 / 2.091
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 timtab1, the five most similar instances to timtab1 according to the MIC, and the five most similar instances to timtab1 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	timtab1 [MIPLIB]	C. Liebchen, R. Möhring	Public transport scheduling problem	0.000000	-
MIC Top 5	g503inf [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.862331	1
	gsvm2rl12 [MIPLIB]	Toni Sorrell	Suport vector machine with ramp loss. GSVM2-RL is the formulation found in Hess E. and Brooks P. (2015) paper, The Support Vector Machine and Mixed Integer Linear Programming: Ramp Loss SVM with L1-Norm Regularization	0.879944	2
	gsvm2rl3 [MIPLIB]	Toni Sorrell	Suport vector machine with ramp loss. GSVM2-RL is the formulation found in Hess E. and Brooks P. (2015) paper, The Support Vector Machine and Mixed Integer Linear Programming: Ramp Loss SVM with L1-Norm Regularization	0.881901	3
	gt2 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.906331	4
	neos-5192052-neckar [MIPLIB]	Jeff Linderoth	(None provided)	0.936801	5
MIPLIB Top 5	timtab1CUTS [MIPLIB]	C. Liebchen, R. Möhring	Public transport scheduling problem	1.086992	84
	ic97_potential [MIPLIB]	L. Peeters	A model for cyclic railway timetable optimization	1.323844	416
	nh97_tension [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.384745	498
	icir97_potential [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.521857	607
	icir97_tension [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	2.090911	856

timtab1: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB:	timtab
Assigned Model Group Rank/ISS in the MIC:	4 / 1.367

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	neos-pseudoapplication-74	neos-pseudoapplication-109	scp	timtab	neos-pseudoapplication-2
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 / 1.233	2 / 1.326	3 / 1.341	4 / 1.367	5 / 1.415

Model Group Summary

The table below contains summary information for the five most similar model groups to timtab1 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	neos-pseudoapplication-74	Jeff Linderoth	(None provided)	1.233018	1
	neos-pseudoapplication-109	Jeff Linderoth	(None provided)	1.326231	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	1.340937	3
	timtab	C. Liebchen, R. Möhring	Public transport scheduling problem	1.367374	4
	neos-pseudoapplication-2	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.415451	5

timtab1: Instance-to-Instance Comparison Results

Parent Instance (timtab1)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

timtab1: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary