Instance - f2000

f2000: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	M. Winkler
Description:	Reformulated SAT instance from the 2010 SAT conference pseudo-Boolean competition
	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	pythago7825 [MIPLIB]	pythago7824 [MIPLIB]	f2gap801600 [MIPLIB]	mod010 [MIPLIB]	iis-hc-cov [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 / 0.880	2 / 0.893	3 / 0.915	4 / 0.936	5 / 0.938
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	stein45inf [MIPLIB]	seymour [MIPLIB]	hanoi5 [MIPLIB]	stein15inf [MIPLIB]	stein9inf [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.	157 / 1.689	171 / 1.720	407 / 2.006	667 / 2.166	942 / 2.324
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 f2000, the five most similar instances to f2000 according to the MIC, and the five most similar instances to f2000 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	f2000 [MIPLIB]	M. Winkler	Reformulated SAT instance from the 2010 SAT conference pseudo-Boolean competition	0.000000	-
MIC Top 5	pythago7825 [MIPLIB]	Felix J. L. Willamowski	2-coloring of Pythagorean triples	0.879513	1
	pythago7824 [MIPLIB]	Felix J. L. Willamowski	2-coloring of Pythagorean triples	0.893018	2
	f2gap801600 [MIPLIB]	Salim Haddadi	Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600)	0.914677	3
	mod010 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.935602	4
	iis-hc-cov [MIPLIB]	Marc Pfetsch	23 "middlehard" Set-Covering Instances for MIPLIB: they have a small number of variables compared to the number of constraints and CPLEX 12.1 needs about one hour to solve them.For more information, have a look into the readme file which explains how the instances can be created.	0.938458	5
MIPLIB Top 5	stein45inf [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.689289	157
	seymour [MIPLIB]	W. Cook, P. Seymour	A set-covering problem that arose from work related to the proof of the 4-color theorem.	1.720385	171
	hanoi5 [MIPLIB]	M. Winkler	Reformulated SAT instance from the 2010 SAT conference pseudo-Boolean competition. Solved due to the 2012 pseudo-Boolean competition.	2.005880	407
	stein15inf [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	2.166470	667
	stein9inf [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	2.324028	942

f2000: 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	assign1	neos-pseudoapplication-48	iis	2hopcds	neos-pseudoapplication-52
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 / 1.360	2 / 1.398	3 / 1.448	4 / 1.463	5 / 1.475

Model Group Summary

The table below contains summary information for the five most similar model groups to f2000 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	assign1	Robert Fourer	Imported from the MIPLIB2010 submissions.	1.359890	1
	neos-pseudoapplication-48	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.397735	2
	iis	Marc Pfetsch	23 "middlehard" Set-Covering Models for MIPLIB: they have a small number of variables compared to the number of constraints and CPLEX 12.1 needs about one hour to solve them.For more information, have a look into the readme file which explains how the models can be created.	1.448409	3
	2hopcds	Austin Buchanan	A problem in wireless networks. The objective is to select a minimum number of relay nodes so that any two nonadjacent nodes can communicate by way of the chosen relay nodes in at most s hops, where s is a problem input. The 2-hop case of this problem can be formulated as a set cover/hitting set problem with n binary variables and n^2 constraints: _{ k N(i) N(j) } x_k 1 for nonadjacent node pairs {i,j}. Despite the formulation's simplicity, models with as few as 120 variables are left unsolved after one hour using Gurobi 7.0.2.	1.463111	4
	neos-pseudoapplication-52	Jeff Linderoth	(None provided)	1.475024	5

f2000: Instance-to-Instance Comparison Results

Parent Instance (f2000)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

f2000: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary