Instance - glass4


	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	probportfolio [MIPLIB]	tanglegram6 [MIPLIB]	tanglegram4 [MIPLIB]	fhnw-schedule-paira200 [MIPLIB]	fhnw-schedule-paira100 [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 / 0.497	2 / 0.595	3 / 0.638	4 / 0.705	5 / 0.705
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	drayage-100-23 [MIPLIB]	neos-4338804-snowy [MIPLIB]	drayage-25-23* [MIPLIB]	drayage-25-32* [MIPLIB]	drayage-25-27* [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.	289 / 1.296	632 / 1.685	289* / 1.296*	289* / 1.296*	289* / 1.296*
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 glass4, the five most similar instances to glass4 according to the MIC, and the five most similar instances to glass4 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	glass4 [MIPLIB]	I. Luzzi	Nesting instance	0.000000	-
MIC Top 5	probportfolio [MIPLIB]	Feng Qiu	Sample average approximation formulation of a probabilistic portfolio optimization problem. Solved using ug[SCIP/spx], a distributed massively parallel version of SCIP run on 2,000 cores at the HLRN-II super computer facility.	0.497330	1
	tanglegram6 [MIPLIB]	Falk Hueffner	The NP-hard Balanced Subgraph problem (variant of MaxCut) encoded as ILPs. Real-world instances from two applications from bioinformatics, finding monotone subsystems in gene regulatory networks (http://dx.doi.org/10.1007/s10878-009-9212-2) and finding optimal layouts of tanglegrams (http://dx.doi.org/10.1007/978-3-642-11269-0).	0.594508	2
	tanglegram4 [MIPLIB]	Falk Hueffner	The NP-hard Balanced Subgraph problem (variant of MaxCut) encoded as ILPs. Real-world instances from two applications from bioinformatics, finding monotone subsystems in gene regulatory networks (http://dx.doi.org/10.1007/s10878-009-9212-2) and finding optimal layouts of tanglegrams (http://dx.doi.org/10.1007/978-3-642-11269-0).	0.638488	3
	fhnw-schedule-paira200 [MIPLIB]	Simon Felix	Continuous-time project scheduling and selection, inspired by an industry use-case. Each project has a value, the sum should be maximized. Each project has a deadline, and an earliest start date. Three formulations of the same problem ("Pair A", "Pair B" and "Slot") - we expect "Pair B" to be the best formulation.	0.704704	4
	fhnw-schedule-paira100 [MIPLIB]	Simon Felix	Continuous-time project scheduling and selection, inspired by an industry use-case. Each project has a value, the sum should be maximized. Each project has a deadline, and an earliest start date. Three formulations of the same problem ("Pair A", "Pair B" and "Slot") - we expect "Pair B" to be the best formulation.	0.705303	5
MIPLIB Top 5	drayage-100-23 [MIPLIB]	F. Jordan Srour	The .rar file contains three folders: 1) R_mps with all of the instances (165, organized into 5 groups R0_, R25_, R50_, R75_, and R100_*), 2) results_and_runtimes with datafiles on the runtime and results, and 3) doc with documentation on the instances in the form of a pdf.	1.295996	289
	neos-4338804-snowy [MIPLIB]	Jeff Linderoth	(None provided)	1.684674	632
	drayage-25-23* [MIPLIB]	F. Jordan Srour	The .rar file contains three folders: 1) R_mps with all of the instances (165, organized into 5 groups R0_, R25_, R50_, R75_, and R100_*), 2) results_and_runtimes with datafiles on the runtime and results, and 3) doc with documentation on the instances in the form of a pdf.	1.295996*	289*
	drayage-25-32* [MIPLIB]	F. Jordan Srour	The .rar file contains three folders: 1) R_mps with all of the instances (165, organized into 5 groups R0_, R25_, R50_, R75_, and R100_*), 2) results_and_runtimes with datafiles on the runtime and results, and 3) doc with documentation on the instances in the form of a pdf.	1.295996*	289*
	drayage-25-27* [MIPLIB]	F. Jordan Srour	The .rar file contains three folders: 1) R_mps with all of the instances (165, organized into 5 groups R0_, R25_, R50_, R75_, and R100_*), 2) results_and_runtimes with datafiles on the runtime and results, and 3) doc with documentation on the instances in the form of a pdf.	1.295996*	289*

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	neos-pseudoapplication-109	neos-pseudoapplication-2	sp_product	map	SiweiSun
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 / 1.083	2 / 1.324	3 / 1.367	4 / 1.399	5 / 1.435

Model Group Summary

The table below contains summary information for the five most similar model groups to glass4 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	neos-pseudoapplication-109	Jeff Linderoth	(None provided)	1.082746	1
	neos-pseudoapplication-2	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.324362	2
	sp_product	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.366688	3
	map	Kiyan Ahmadizadeh	Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem	1.399254	4
	SiweiSun	Siwei Sun	These models come from my cryptographic research and are used to search for the best differential characteristics of the round-reduced versions of the block cipher Serpent with the mixed-integer programming technique. For all the models, including S1234.lp, S56701.lp, S456701.lp, I have found a feasible solution in the corresponding mst file. The challenge is that can we find better solutions or can we find the best solutions.	1.435382	5

Type:	Instance
Submitter:	I. Luzzi
Description:	Nesting instance
	MIPLIB Entry

Model Group Assignment from MIPLIB:	no model group assignment
Assigned Model Group Rank/ISS in the MIC:	N.A. / N.A.

glass4: Instance-to-Instance Comparison Results

Parent Instance (glass4)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

glass4: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary