Instance - 2club200v15p5scn

2club200v15p5scn: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	Balabhaskar Balasundaram
Description:	Maximum 2-club instance; graph; clique relaxations Solved with Gurobi 8.1 on 24 cores in approx. 23 hours.
	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]	eilC76-2 [MIPLIB]	pythago7824 [MIPLIB]	eilA101-2 [MIPLIB]	neos-3352863-ancoa [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 / 0.707	2 / 0.747	3 / 0.753	4 / 0.792	5 / 0.800
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	genus-sym-g62-2 [MIPLIB]	genus-sym-grafo5708-48 [MIPLIB]	supportcase21i [MIPLIB]	genus-g61-25 [MIPLIB]	supportcase2 [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.	50 / 1.300	106 / 1.581	117 / 1.630	420 / 2.129	423 / 2.135
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 2club200v15p5scn, the five most similar instances to 2club200v15p5scn according to the MIC, and the five most similar instances to 2club200v15p5scn according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	2club200v15p5scn [MIPLIB]	Balabhaskar Balasundaram	Maximum 2-club instance; graph; clique relaxations Solved with Gurobi 8.1 on 24 cores in approx. 23 hours.	0.000000	-
MIC Top 5	pythago7825 [MIPLIB]	Felix J. L. Willamowski	2-coloring of Pythagorean triples	0.706864	1
	eilC76-2 [MIPLIB]	J. Linderoth	Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB Imported from the MIPLIB2010 submissions.	0.746775	2
	pythago7824 [MIPLIB]	Felix J. L. Willamowski	2-coloring of Pythagorean triples	0.753482	3
	eilA101-2 [MIPLIB]	J. Linderoth	Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB	0.791884	4
	neos-3352863-ancoa [MIPLIB]	Jeff Linderoth	(None provided)	0.799993	5
MIPLIB Top 5	genus-sym-g62-2 [MIPLIB]	Stephan Beyer	Minimum Genus instance, with symmetry breaking constraints, of g.62.2 (undirected) of the AT&T Graphs by Stephen C. North.	1.299638	50
	genus-sym-grafo5708-48 [MIPLIB]	Stephan Beyer	Minimum Genus instance of grafo5708.48 from the Rome Graphs, with symmetry-breaking constraints.	1.580744	106
	supportcase21i [MIPLIB]	Michael Winkler	MIP with Indicator instances collected from Gurobi forum with unknown application	1.629738	117
	genus-g61-25 [MIPLIB]	Stephan Beyer	Minimum Genus instance of g.61.25 (undirected) of the AT&T Graphs by Stephen C. North.	2.128696	420
	supportcase2 [MIPLIB]	Michael Winkler	MIP instances collected from Gurobi forum with unknown application	2.134749	423

2club200v15p5scn: 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	2hopcds	iis	assign1	neos-pseudoapplication-106	f2gap
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 / 0.787	2 / 0.826	3 / 0.974	4 / 1.056	5 / 1.068

Model Group Summary

The table below contains summary information for the five most similar model groups to 2club200v15p5scn according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	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.	0.787369	1
	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.	0.826283	2
	assign1	Robert Fourer	Imported from the MIPLIB2010 submissions.	0.974211	3
	neos-pseudoapplication-106	Hans Mittelmann	Collection of anonymous submissions to the NEOS Server for Optimization	1.056399	4
	f2gap	Salim Haddadi	Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600)	1.068467	5

2club200v15p5scn: Instance-to-Instance Comparison Results

Parent Instance (2club200v15p5scn)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

2club200v15p5scn: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary