Instance - h50x2450

h50x2450: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	MIPLIB submission pool
Description:	Imported from the MIPLIB2010 submissions.
	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	h80x6320d [MIPLIB]	neos-1112787 [MIPLIB]	neos-1112782 [MIPLIB]	neos-873061 [MIPLIB]	neos-872648 [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 / 0.432	2 / 0.573	3 / 0.580	4 / 0.652	5 / 0.652
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	n3707 [MIPLIB]	n370b* [MIPLIB]	n3700* [MIPLIB]	n3709* [MIPLIB]	n3705* [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.	190 / 1.292	190* / 1.292*	190* / 1.292*	190* / 1.292*	190* / 1.292*
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 h50x2450, the five most similar instances to h50x2450 according to the MIC, and the five most similar instances to h50x2450 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	h50x2450 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.000000	-
MIC Top 5	h80x6320d [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.431590	1
	neos-1112787 [MIPLIB]	NEOS Server Submission	Instance coming from the NEOS Server with unknown application	0.573154	2
	neos-1112782 [MIPLIB]	NEOS Server Submission	Instance coming from the NEOS Server with unknown application	0.580423	3
	neos-873061 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	0.652433	4
	neos-872648 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	0.652444	5
MIPLIB Top 5	n3707 [MIPLIB]	J. Aronson	Fixed charge transportation problem	1.292013	190
	n370b* [MIPLIB]	J. Aronson	Fixed charge transportation problem	1.292013*	190*
	n3700* [MIPLIB]	J. Aronson	Fixed charge transportation problem	1.292013*	190*
	n3709* [MIPLIB]	J. Aronson	Fixed charge transportation problem	1.292013*	190*
	n3705* [MIPLIB]	J. Aronson	Fixed charge transportation problem	1.292013*	190*

h50x2450: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB:	fixed-cost-network-flow
Assigned Model Group Rank/ISS in the MIC:	13 / 1.702

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	neos-pseudoapplication-89	drayage	square	neos-pseudoapplication-74	scp
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 / 0.806	2 / 1.455	3 / 1.464	4 / 1.486	5 / 1.515

Model Group Summary

The table below contains summary information for the five most similar model groups to h50x2450 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	neos-pseudoapplication-89	NEOS Server Submission	Model coming from the NEOS Server with unknown application	0.806352	1
	drayage	F. Jordan Srour	The .rar file contains three folders: 1) R_mps with all of the models (165, organized into 5 groups R0_, R25_, R50_, R75_, and R100_*), 2) results_and_runtimes with datafiles on the runtime and results, and 3) doc with documentation on the models in the form of a pdf.	1.454764	2
	square	Sascha Kurz	Squaring the square For a given integer n, determine the minimum number of squares in a tiling of an \\(n\\times n\\) square using using only integer sided squares of smaller size. (Although the models get quite large even for moderate n, they can be solved to optimality for all \\(n \\le 61\\), while challenging the MIP solver, especially the presolver.)	1.463582	3
	neos-pseudoapplication-74	Jeff Linderoth	(None provided)	1.486396	4
	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	1.514669	5

h50x2450: Instance-to-Instance Comparison Results

Parent Instance (h50x2450)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

h50x2450: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary