Instance - aflow40b

aflow40b: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	T. Achterberg
Description:	Arborescence flow problem on a graph with 40 nodes and edge density 0.9
	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	germany50-UUM [MIPLIB]	neos-1582420 [MIPLIB]	berlin [MIPLIB]	gus-sch [MIPLIB]	supportcase29 [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 / 0.301	2 / 0.349	3 / 0.362	4 / 0.375	5 / 0.375
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]	aflow30a [MIPLIB]	h50x2450 [MIPLIB]	n370b* [MIPLIB]	n3700* [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.	21 / 0.434	26 / 0.442	302 / 1.222	21* / 0.434*	21* / 0.434*
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 aflow40b, the five most similar instances to aflow40b according to the MIC, and the five most similar instances to aflow40b according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	aflow40b [MIPLIB]	T. Achterberg	Arborescence flow problem on a graph with 40 nodes and edge density 0.9	0.000000	-
MIC Top 5	germany50-UUM [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.301128	1
	neos-1582420 [MIPLIB]	NEOS Server Submission	Collection of anonymous submissions to the NEOS Server for Optimization	0.348979	2
	berlin [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.362164	3
	gus-sch [MIPLIB]	Alexandra M. Newman	course scheduling model	0.375131	4
	supportcase29 [MIPLIB]	Domenico Salvagnin	Instance coming from IBM developerWorks forum with unknown application.	0.375248	5
MIPLIB Top 5	n3707 [MIPLIB]	J. Aronson	Fixed charge transportation problem	0.434396	21
	aflow30a [MIPLIB]	T. Achterberg	Arborescence flow problem	0.442033	26
	h50x2450 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.221538	302
	n370b* [MIPLIB]	J. Aronson	Fixed charge transportation problem	0.434396*	21*
	n3700* [MIPLIB]	J. Aronson	Fixed charge transportation problem	0.434396*	21*

aflow40b: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB:	aflow
Assigned Model Group Rank/ISS in the MIC:	9 / 0.826

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	radiation	n37	sp_product	seqsolve	ab
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 / 0.532	2 / 0.559	3 / 0.574	4 / 0.649	5 / 0.656

Model Group Summary

The table below contains summary information for the five most similar model groups to aflow40b according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	radiation	Gleb Belov	Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38	0.532490	1
	n37	J. Aronson	Fixed charge transportation problem	0.558618	2
	sp_product	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.573845	3
	seqsolve	Irv Lustig	The 3 problems in this group (seqsolve1-seqsolve3) represent a hierarchical optimization process, which is derived from a customer problem for assigning people to sites into blocks of time on days of the week. The specialty of this submission is that the best known solution for seqsolveX can be used as a MIP start for seqsolveX+1. For a description of the connections between the problems, please refer to the README.txt contained in the model data for this submission, which also includes MIP start files and a Gurobi log file.	0.648911	4
	ab	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.655674	5

aflow40b: Instance-to-Instance Comparison Results

Parent Instance (aflow40b)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

aflow40b: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary