Instance - berlin_5_8

berlin_5_8_0: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	G. Klau
Description:	Railway optimization problems. The problem was solved using CPLEX 12.3 on a 32 core Sun Galaxy 4600 machine, equipped with eight Quad-Core AMD Opteron 8384 processors at 2.7 GHz and 512 GB RAM. It took approximately 9 hours. The problem was solved using CPLEX 12.4 in about 55 minutes (May 2014).
	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	usAbbrv-8-25_70 [MIPLIB]	railway_8_1_0 [MIPLIB]	ns2034125 [MIPLIB]	CMS750_4 [MIPLIB]	stein45inf [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 / 0.613	2 / 1.010	3 / 1.143	4 / 1.169	5 / 1.179
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	usAbbrv-8-25_70 [MIPLIB]	railway_8_1_0 [MIPLIB]	CMS750_4 [MIPLIB]	pigeon-13 [MIPLIB]	pigeon-16 [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 / 0.613	2 / 1.010	4 / 1.169	731 / 1.975	774 / 2.041
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 berlin_5_8_0, the five most similar instances to berlin_5_8_0 according to the MIC, and the five most similar instances to berlin_5_8_0 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	berlin_5_8_0 [MIPLIB]	G. Klau	Railway optimization problems. The problem was solved using CPLEX 12.3 on a 32 core Sun Galaxy 4600 machine, equipped with eight Quad-Core AMD Opteron 8384 processors at 2.7 GHz and 512 GB RAM. It took approximately 9 hours. The problem was solved using CPLEX 12.4 in about 55 minutes (May 2014).	0.000000	-
MIC Top 5	usAbbrv-8-25_70 [MIPLIB]	publicly available	Imported from MIPLIB2010.	0.613279	1
	railway_8_1_0 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.010045	2
	ns2034125 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.143304	3
	CMS750_4 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.169326	4
	stein45inf [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.178918	5
MIPLIB Top 5	usAbbrv-8-25_70 [MIPLIB]	publicly available	Imported from MIPLIB2010.	0.613279	1
	railway_8_1_0 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.010045	2
	CMS750_4 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.169326	4
	pigeon-13 [MIPLIB]	Sam Allen	Instance of 3D packing (container loading) problem. The problem was solved by the Gurobi Optimizer version 5.0.1. It took approximately 22 hours.	1.974628	731
	pigeon-16 [MIPLIB]	Sam Allen	Instance of 3D packing (container loading) problem	2.041179	774

berlin_5_8_0: Instance-to-Model Comparison Results

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

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	stein	scp	markshare	neos-pseudoapplication-109	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 / 1.621	2 / 1.699	3 / 1.765	4 / 1.849	5 / 1.894

Model Group Summary

The table below contains summary information for the five most similar model groups to berlin_5_8_0 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	stein	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.621143	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	1.698801	2
	markshare	G. Cornuéjols, M. Dawande	Market sharing problem	1.765157	3
	neos-pseudoapplication-109	Jeff Linderoth	(None provided)	1.848715	4
	neos-pseudoapplication-21	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.894123	5

berlin_5_8_0: Instance-to-Instance Comparison Results

Parent Instance (berlin_5_8_0)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

berlin_5_8_0: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary