Instance - z26

z26: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	Daniel Bienstock
Description:	Set packing problem arising from the ongoing "Frequency Spectrum Auction" in the U.S. Work is collaboration with Ion Media Networks, Inc.
	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	nsr8k [MIPLIB]	dolom1 [MIPLIB]	dc1c [MIPLIB]	trento1 [MIPLIB]	core4872-1529 [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 / 1.413	2 / 1.485	3 / 1.504	4 / 1.520	5 / 1.535
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	sorrell4 [MIPLIB]	sorrell7 [MIPLIB]	sorrell3 [MIPLIB]	manna81 [MIPLIB]	sorrell8 [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.	10 / 1.744	59 / 2.074	105 / 2.297	226 / 2.718	315 / 2.902
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 z26, the five most similar instances to z26 according to the MIC, and the five most similar instances to z26 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	z26 [MIPLIB]	Daniel Bienstock	Set packing problem arising from the ongoing "Frequency Spectrum Auction" in the U.S. Work is collaboration with Ion Media Networks, Inc.	0.000000	-
MIC Top 5	nsr8k [MIPLIB]	MIPLIB submission pool	Crew scheduling instance	1.412880	1
	dolom1 [MIPLIB]	Double-Click SAS	Crew scheduling instance. Solved with ParaSCIP with SCIP 3.0.1 linked to CPLEX 12.5 as an LP solver on HLRN III with 12288 cores in two runs First run found a feasible solution whose objective function value is 6615265.0000. Giving the feasible solution, the second run solved the instance in 13684.7671 sec.	1.484700	2
	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.	1.503501	3
	trento1 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.520450	4
	core4872-1529 [MIPLIB]	A. Caprara, M. Fischetti, P. Toth	Set covering instance coming from Italian railway models	1.535125	5
MIPLIB Top 5	sorrell4 [MIPLIB]	Toni Sorrell	These instances are based on Neil Sloane's Challenge problems: Independent Sets in Graphs.	1.744451	10
	sorrell7 [MIPLIB]	Toni Sorrell	These instances are based on Neil Sloane's Challenge problems: Independent Sets in Graphs.	2.073769	59
	sorrell3 [MIPLIB]	Toni Sorrell	These instances are based on Neil Sloane's Challenge problems: Independent Sets in Graphs.	2.297315	105
	manna81 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	2.717588	226
	sorrell8 [MIPLIB]	Toni Sorrell	These instances are based on Neil Sloane's Challenge problems: Independent Sets in Graphs.	2.902152	315

z26: 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	neos-pseudoapplication-38	sct	neos-pseudoapplication-103	neos-pseudoapplication-48	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 / 1.862	2 / 1.928	3 / 1.973	4 / 1.988	5 / 2.022

Model Group Summary

The table below contains summary information for the five most similar model groups to z26 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	neos-pseudoapplication-38	Jeff Linderoth	(None provided)	1.861899	1
	sct	Siemens	Assembly line balancing for printed circuit board production. First solved by Gurobi 7.0 in 65 hours (32 threads).	1.928090	2
	neos-pseudoapplication-103	Hans Mittelmann	Collection of anonymous submissions to the NEOS Server for Optimization	1.972930	3
	neos-pseudoapplication-48	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.987851	4
	f2gap	Salim Haddadi	Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600)	2.022050	5

z26: Instance-to-Instance Comparison Results

Parent Instance (z26)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

z26: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary