Instance - nj3

nj3: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	Jonathan Eckstein
Description:	Electoral district design with various levels of symmetry breaking constraints.
	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-3759587-noosa [MIPLIB]	neos-3755335-nizao [MIPLIB]	icir97_potential [MIPLIB]	shiftreg5-1 [MIPLIB]	neos-3611447-jijia [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 / 0.869	2 / 1.023	3 / 1.081	4 / 1.162	5 / 1.179
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-799711 [MIPLIB]	nj1 [MIPLIB]	nj2 [MIPLIB]	neos-5078479-escaut [MIPLIB]	bharat [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.	37 / 1.635	262 / 1.930	311 / 1.953	484 / 2.025	755 / 2.207
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 nj3, the five most similar instances to nj3 according to the MIC, and the five most similar instances to nj3 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	nj3 [MIPLIB]	Jonathan Eckstein	Electoral district design with various levels of symmetry breaking constraints.	0.000000	-
MIC Top 5	neos-3759587-noosa [MIPLIB]	Jeff Linderoth	(None provided)	0.868941	1
	neos-3755335-nizao [MIPLIB]	Jeff Linderoth	(None provided)	1.022819	2
	icir97_potential [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.080642	3
	shiftreg5-1 [MIPLIB]	Domenico Salvagnin	Multi-activity shift scheduling problem with 5 activities and 24 employees, using an implicit model based on a regular language.	1.161891	4
	neos-3611447-jijia [MIPLIB]	Jeff Linderoth	(None provided)	1.179207	5
MIPLIB Top 5	neos-799711 [MIPLIB]	NEOS Server Submission	Instance coming from the NEOS Server with unknown application	1.634905	37
	nj1 [MIPLIB]	Jonathan Eckstein	Electoral district design with various levels of symmetry breaking constraints.	1.929595	262
	nj2 [MIPLIB]	Jonathan Eckstein	Electoral district design with various levels of symmetry breaking constraints.	1.953429	311
	neos-5078479-escaut [MIPLIB]	Jeff Linderoth	(None provided)	2.024709	484
	bharat [MIPLIB]	Gavin Goodall	MILP for optimizing fuel use at a forward operating base	2.206668	755

nj3: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB:	nj
Assigned Model Group Rank/ISS in the MIC:	4 / 1.703

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	neos-pseudoapplication-91	hypothyroid	neos-pseudoapplication-61	nj	scp
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 / 1.202	2 / 1.635	3 / 1.665	4 / 1.704	5 / 1.939

Model Group Summary

The table below contains summary information for the five most similar model groups to nj3 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	neos-pseudoapplication-91	Jeff Linderoth	(None provided)	1.201855	1
	hypothyroid	Gleb Belov	Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38	1.634808	2
	neos-pseudoapplication-61	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.664796	3
	nj	Jonathan Eckstein	Electoral district design with various levels of symmetry breaking constraints.	1.703979	4
	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	1.939052	5

nj3: Instance-to-Instance Comparison Results

Parent Instance (nj3)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

nj3: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary