Instance - circ10-3


	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	supportcase2 [MIPLIB]	fiber [MIPLIB]	s82 [MIPLIB]	neos-4292145-piako [MIPLIB]	neos-4230265-orari [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 / 1.438	2 / 1.671	3 / 1.679	4 / 1.695	5 / 1.704
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	bnatt500 [MIPLIB]	bnatt400 [MIPLIB]	s1234 [MIPLIB]	neos-5178119-nalagi [MIPLIB]	bnatt500** [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.	122 / 1.997	135 / 2.006	302 / 2.100	531 / 2.181	N.A. / N.A.
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 circ10-3, the five most similar instances to circ10-3 according to the MIC, and the five most similar instances to circ10-3 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	circ10-3 [MIPLIB]	M. Winkler	Instance from the 2010 SAT conference pseudo-Boolean competition	0.000000	-
MIC Top 5	supportcase2 [MIPLIB]	Michael Winkler	MIP instances collected from Gurobi forum with unknown application	1.438351	1
	fiber [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.671411	2
	s82 [MIPLIB]	Daniel Espinoza	Wine Scheduling problem with 82 jobs and four processing machines	1.678728	3
	neos-4292145-piako [MIPLIB]	Jeff Linderoth	(None provided)	1.694839	4
	neos-4230265-orari [MIPLIB]	Jeff Linderoth	(None provided)	1.704413	5
MIPLIB Top 5	bnatt500 [MIPLIB]	Tatsuya Akutsu	We are submitting ILP data for identification of a singletonattractor in a Boolean newtork, which is a well-known problemin computational systems biology.This problem is known to be NP-hard and we developed a methodto transform an instance of the problem to an integer linearprogram (ILP).We used ILPs from artificially generated Boolean networks ofindegree 3.The size of the networks are: 350, 400, 500.Even for the case of 500, we could not find a solution within6 hours using CPLEX 11.2 on a PC with XEON 5470 3.33GHz CPU.(This ILP corresponds to the case of size=350.File format is (zipped) CPLEX LP format.)The details of the method appeared in:T. Akutsu, M. Hayashida and T. Tamura, Integer programming-basedmethods for attractor detection and control of Boolean networks,Proc. The combined 48th IEEE Conference on Decision and Controland 28th Chinese Control Conference (IEEE CDC/CCC 2009), 5610-5617, 2009.	1.997307	122
	bnatt400 [MIPLIB]	Tatsuya Akutsu	Model to identify a singleton attractor in a Boolean network, applications in computational systems biology. Solved by SCIP 3.0 with SoPlex 1.7.0 in half an hour. A Intel Core2 Extreme CPU X9659 @3.00GHz was used.	2.006403	135
	s1234 [MIPLIB]	Siwei Sun	These models come from my cryptographic research and are used to search for the best differential characteristics of the round-reduced versions of the block cipher Serpent with the mixed-integer programming technique. For all the models, including S1234.lp, S56701.lp, S456701.lp, I have found a feasible solution in the corresponding mst file. The challenge is that can we find better solutions or can we find the best solutions.	2.100492	302
	neos-5178119-nalagi [MIPLIB]	Jeff Linderoth	(None provided)	2.181413	531
	bnatt500** [MIPLIB]	A. Bley	Min-cost network dimensioning problem with finite sets of link capacities and unsplittable flow routing	N.A.**	N.A.**

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	scp	neos-pseudoapplication-21	enlight	markshare	stein
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 / 1.948	2 / 2.052	3 / 2.135	4 / 2.169	5 / 2.178

Model Group Summary

The table below contains summary information for the five most similar model groups to circ10-3 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	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	1.947565	1
	neos-pseudoapplication-21	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	2.052029	2
	enlight	A. Zymolka	Model to solve model of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions.	2.135139	3
	markshare	G. Cornuéjols, M. Dawande	Market sharing problem	2.169437	4
	stein	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	2.177569	5

Type:	Instance
Submitter:	M. Winkler
Description:	Instance from the 2010 SAT conference pseudo-Boolean competition
	MIPLIB Entry

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

circ10-3: Instance-to-Instance Comparison Results

Parent Instance (circ10-3)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

circ10-3: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary