Instance - neos-498623

neos-498623: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	NEOS Server Submission
Description:	Imported from the MIPLIB2010 submissions.
	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]	pythago7824 [MIPLIB]	2club200v15p5scn [MIPLIB]	trento1 [MIPLIB]	dc1c [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 / 1.348	2 / 1.359	3 / 1.370	4 / 1.373	5 / 1.397
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-850681 [MIPLIB]	nursesched-medium04 [MIPLIB]	nursesched-sprint02 [MIPLIB]	neos-1223462 [MIPLIB]	neos6 [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.	80 / 1.930	204 / 2.284	266 / 2.390	285 / 2.411	398 / 2.520
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-498623, the five most similar instances to neos-498623 according to the MIC, and the five most similar instances to neos-498623 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	neos-498623 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	0.000000	-
MIC Top 5	pythago7825 [MIPLIB]	Felix J. L. Willamowski	2-coloring of Pythagorean triples	1.348415	1
	pythago7824 [MIPLIB]	Felix J. L. Willamowski	2-coloring of Pythagorean triples	1.359047	2
	2club200v15p5scn [MIPLIB]	Balabhaskar Balasundaram	Maximum 2-club instance; graph; clique relaxations Solved with Gurobi 8.1 on 24 cores in approx. 23 hours.	1.370124	3
	trento1 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.373426	4
	dc1c [MIPLIB]	Double-Click SAS	Crew scheduling instance. This problem was solved on ISM supercomputer Fujitsu PRIMERGY RX200S5 (http://www.ism.ac.jp/computer_system/eng/sc/index.html) by ParaSCIP in approximately 1100 hours with 14 times restarted 15 jobs.	1.396966	5
MIPLIB Top 5	neos-850681 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.929604	80
	nursesched-medium04 [MIPLIB]	Haroldo Gambini Santos	Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010	2.283784	204
	nursesched-sprint02 [MIPLIB]	Haroldo Gambini Santos	Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010	2.389762	266
	neos-1223462 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	2.411215	285
	neos6 [MIPLIB]	NEOS Server Submission	Instance coming from the NEOS Server with unknown application	2.520232	398

neos-498623: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB:	neos-pseudoapplication-5
Assigned Model Group Rank/ISS in the MIC:	2 / 1.810

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	2hopcds	neos-pseudoapplication-5	mod	neos-pseudoapplication-103	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 / 1.789	2 / 1.811	3 / 1.949	4 / 1.953	5 / 1.970

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-498623 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.	1.789105	1
	neos-pseudoapplication-5	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.810660	2
	mod	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.948916	3
	neos-pseudoapplication-103	Hans Mittelmann	Collection of anonymous submissions to the NEOS Server for Optimization	1.952773	4
	f2gap	Salim Haddadi	Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600)	1.969541	5

neos-498623: Instance-to-Instance Comparison Results

Parent Instance (neos-498623)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

neos-498623: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary