Instance - neos-1605061

neos-1605061: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	NEOS Server Submission
Description:	Instance coming from the NEOS Server with unknown application
	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	neos-885524 [MIPLIB]	f2gap801600 [MIPLIB]	mod010 [MIPLIB]	pythago7825 [MIPLIB]	pythago7824 [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 / 1.189	2 / 1.209	3 / 1.214	4 / 1.216	5 / 1.231
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	neos-1601936 [MIPLIB]	csched007 [MIPLIB]	neos-691058 [MIPLIB]	csched008 [MIPLIB]	neos-503737 [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.	20 / 1.366	123 / 1.805	144 / 1.863	150 / 1.870	203 / 2.002
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 neos-1605061, the five most similar instances to neos-1605061 according to the MIC, and the five most similar instances to neos-1605061 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	neos-1605061 [MIPLIB]	NEOS Server Submission	Instance coming from the NEOS Server with unknown application	0.000000	-
MIC Top 5	neos-885524 [MIPLIB]	NEOS Server Submission	Instance coming from the NEOS Server with unknown application	1.189452	1
	f2gap801600 [MIPLIB]	Salim Haddadi	Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600)	1.209301	2
	mod010 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.214066	3
	pythago7825 [MIPLIB]	Felix J. L. Willamowski	2-coloring of Pythagorean triples	1.215530	4
	pythago7824 [MIPLIB]	Felix J. L. Willamowski	2-coloring of Pythagorean triples	1.230808	5
MIPLIB Top 5	neos-1601936 [MIPLIB]	NEOS Server Submission	Instance coming from the NEOS Server with unknown application	1.366278	20
	csched007 [MIPLIB]	Tallys Yunes	Cumulative scheduling problem instance	1.805174	123
	neos-691058 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.862648	144
	csched008 [MIPLIB]	Tallys Yunes	Cumulative scheduling problem instance	1.869608	150
	neos-503737 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	2.002475	203

neos-1605061: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB:	neos-pseudoapplication-5
Assigned Model Group Rank/ISS in the MIC:	66 / 2.411

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	independentset	generated	f2gap	assign1	2hopcds
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 / 1.421	2 / 1.480	3 / 1.543	4 / 1.546	5 / 1.630

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-1605061 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.	1.421047	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.	1.480008	2
	f2gap	Salim Haddadi	Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600)	1.543315	3
	assign1	Robert Fourer	Imported from the MIPLIB2010 submissions.	1.546216	4
	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.	1.629724	5

neos-1605061: Instance-to-Instance Comparison Results

Parent Instance (neos-1605061)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

neos-1605061: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary