Instance - pythago7825

pythago7825: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	Felix J. L. Willamowski
Description:	2-coloring of Pythagorean triples
	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	pythago7824 [MIPLIB]	2club200v15p5scn [MIPLIB]	iis-hc-cov [MIPLIB]	eil33-2 [MIPLIB]	neos-5189128-totara [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 / 0.643	2 / 0.707	3 / 0.716	4 / 0.723	5 / 0.747
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	pythago7824 [MIPLIB]	neos-4382714-ruvuma [MIPLIB]	ponderthis0517-inf [MIPLIB]	supportcase30 [MIPLIB]	fhnw-binpack4-18 [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.	1 / 0.643	57 / 1.311	74 / 1.413	186 / 1.806	575 / 2.218
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 pythago7825, the five most similar instances to pythago7825 according to the MIC, and the five most similar instances to pythago7825 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	pythago7825 [MIPLIB]	Felix J. L. Willamowski	2-coloring of Pythagorean triples	0.000000	-
MIC Top 5	pythago7824 [MIPLIB]	Felix J. L. Willamowski	2-coloring of Pythagorean triples	0.643029	1
	2club200v15p5scn [MIPLIB]	Balabhaskar Balasundaram	Maximum 2-club instance; graph; clique relaxations Solved with Gurobi 8.1 on 24 cores in approx. 23 hours.	0.706864	2
	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.	0.715910	3
	eil33-2 [MIPLIB]	J. Linderoth	Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB	0.722582	4
	neos-5189128-totara [MIPLIB]	Hans Mittelmann	distribution of fruit	0.747081	5
MIPLIB Top 5	pythago7824 [MIPLIB]	Felix J. L. Willamowski	2-coloring of Pythagorean triples	0.643029	1
	neos-4382714-ruvuma [MIPLIB]	Hans Mittelmann	Collection of anonymous submissions to the NEOS Server for Optimization	1.311295	57
	ponderthis0517-inf [MIPLIB]	Rob Pratt	Infeasible version of IBM Ponder This problem (with 52 characters and no spaces) from May 2017: https://www.research.ibm.com/haifa/ponderthis/challenges/May2017.html	1.413027	74
	supportcase30 [MIPLIB]	Domenico Salvagnin	Instance coming from IBM developerWorks forum with unknown application.	1.805849	186
	fhnw-binpack4-18 [MIPLIB]	Simon Felix	Feasability-only 3D bin packing with additional constraints	2.217616	575

pythago7825: 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 / 0.801	2 / 0.905	3 / 0.979	4 / 1.045	5 / 1.047

Model Group Summary

The table below contains summary information for the five most similar model groups to pythago7825 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.	0.801010	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.	0.904560	2
	assign1	Robert Fourer	Imported from the MIPLIB2010 submissions.	0.979256	3
	neos-pseudoapplication-106	Hans Mittelmann	Collection of anonymous submissions to the NEOS Server for Optimization	1.044550	4
	f2gap	Salim Haddadi	Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600)	1.047493	5

pythago7825: Instance-to-Instance Comparison Results

Parent Instance (pythago7825)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

pythago7825: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary