Instance - mod010


	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	f2gap801600 [MIPLIB]	neos5 [MIPLIB]	neos-5189128-totara [MIPLIB]	scpl4 [MIPLIB]	eil33-2 [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 / 0.669	2 / 0.714	3 / 0.745	4 / 0.750	5 / 0.767
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	air04 [MIPLIB]	air05 [MIPLIB]	air03 [MIPLIB]	square23 [MIPLIB]	h80x6320 [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.	123 / 1.518	202 / 1.651	325 / 1.770	819 / 2.016	965 / 2.146
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 mod010, the five most similar instances to mod010 according to the MIC, and the five most similar instances to mod010 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	mod010 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.000000	-
MIC Top 5	f2gap801600 [MIPLIB]	Salim Haddadi	Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600)	0.669231	1
	neos5 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	0.714314	2
	neos-5189128-totara [MIPLIB]	Hans Mittelmann	distribution of fruit	0.744918	3
	scpl4 [MIPLIB]	Shunji Umetani	This is a random test instance 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 instances. We have also generated reduced instances 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 instance generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark	0.749821	4
	eil33-2 [MIPLIB]	J. Linderoth	Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB	0.766875	5
MIPLIB Top 5	air04 [MIPLIB]	G. Astfalk	Airline crew scheduling set partitioning problem	1.518443	123
	air05 [MIPLIB]	G. Astfalk	Airline crew scheduling set partitioning problem	1.651317	202
	air03 [MIPLIB]	G. Astfalk	Airline crew scheduling set partitioning problem	1.769878	325
	square23 [MIPLIB]	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.)	2.015868	819
	h80x6320 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	2.146279	965

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	independentset	generated	f2gap	neos-pseudoapplication-101	mod
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 / 0.822	2 / 0.844	3 / 0.919	4 / 0.949	5 / 0.977

Model Group Summary

The table below contains summary information for the five most similar model groups to mod010 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	independentset	Toni Sorrell	These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs.	0.821533	1
	generated	Simon Bowly	Randomly generated integer and binary programming models. These results are part of an early phase of work aimed at generating diverse and challenging MIP models for experimental testing. We have aimed to produce small integer and binary programming models which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms.	0.844125	2
	f2gap	Salim Haddadi	Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600)	0.919180	3
	neos-pseudoapplication-101	NEOS Server Submission	Model coming from the NEOS Server with unknown application. Infeasibility claimed by CPLEX 12.6 and CPLEX 12.6.1 with extreme numerical caution emphasi after 4 and 2 hours computation, respectively.	0.949465	4
	mod	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.976941	5

Type:	Instance
Submitter:	MIPLIB submission pool
Description:	Imported from the MIPLIB2010 submissions.
	MIPLIB Entry

Model Group Assignment from MIPLIB:	mod
Assigned Model Group Rank/ISS in the MIC:	5 / 0.976

mod010: Instance-to-Instance Comparison Results

Parent Instance (mod010)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

mod010: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary