Instance - sct5


	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	square23 [MIPLIB]	square31 [MIPLIB]	ta1-UUM [MIPLIB]	square37 [MIPLIB]	square41 [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 / 0.719	2 / 0.795	3 / 0.805	4 / 0.807	5 / 0.848
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	gus-sch [MIPLIB]	sct2 [MIPLIB]	sct31 [MIPLIB]	sct1 [MIPLIB]	sct32 [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.	171 / 1.209	180 / 1.217	816 / 2.087	860 / 2.281	875 / 2.354
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 sct5, the five most similar instances to sct5 according to the MIC, and the five most similar instances to sct5 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	sct5 [MIPLIB]	Siemens	Assembly line balancing for printed circuit board production	0.000000	-
MIC Top 5	square23 [MIPLIB]	Sascha Kurz	Squaring the square For a given integer n, determine the minimum number of squares in a tiling of an \\(n\\times n\\) square using using only integer sided squares of smaller size. (Although the models get quite large even for moderate n, they can be solved to optimality for all \\(n \\le 61\\), while challenging the MIP solver, especially the presolver.)	0.719159	1
	square31 [MIPLIB]	Sascha Kurz	Squaring the square For a given integer n, determine the minimum number of squares in a tiling of an \\(n\\times n\\) square using using only integer sided squares of smaller size. (Although the models get quite large even for moderate n, they can be solved to optimality for all \\(n \\le 61\\), while challenging the MIP solver, especially the presolver.)	0.795210	2
	ta1-UUM [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.804993	3
	square37 [MIPLIB]	Sascha Kurz	Squaring the square For a given integer n, determine the minimum number of squares in a tiling of an \\(n\\times n\\) square using using only integer sided squares of smaller size. (Although the models get quite large even for moderate n, they can be solved to optimality for all \\(n \\le 61\\), while challenging the MIP solver, especially the presolver.)	0.807056	4
	square41 [MIPLIB]	Sascha Kurz	Squaring the square For a given integer n, determine the minimum number of squares in a tiling of an \\(n\\times n\\) square using using only integer sided squares of smaller size. (Although the models get quite large even for moderate n, they can be solved to optimality for all \\(n \\le 61\\), while challenging the MIP solver, especially the presolver.)	0.847786	5
MIPLIB Top 5	gus-sch [MIPLIB]	Alexandra M. Newman	course scheduling model	1.208793	171
	sct2 [MIPLIB]	Siemens	Assembly line balancing for printed circuit board production	1.217395	180
	sct31 [MIPLIB]	Siemens	Assembly line balancing for printed circuit board production	2.087185	816
	sct1 [MIPLIB]	Siemens	Assembly line balancing for printed circuit board production	2.281430	860
	sct32 [MIPLIB]	Siemens	Assembly line balancing for printed circuit board production. First solved by Gurobi 7.0 in 65 hours (32 threads).	2.354243	875

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	square	supportvectormachine	neos-pseudoapplication-109	noip	neos-pseudoapplication-74
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 / 1.215	2 / 1.224	3 / 1.395	4 / 1.497	5 / 1.499

Model Group Summary

The table below contains summary information for the five most similar model groups to sct5 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	square	Sascha Kurz	Squaring the square For a given integer n, determine the minimum number of squares in a tiling of an \\(n\\times n\\) square using using only integer sided squares of smaller size. (Although the models get quite large even for moderate n, they can be solved to optimality for all \\(n \\le 61\\), while challenging the MIP solver, especially the presolver.)	1.215073	1
	supportvectormachine	Toni Sorrell	Suport vector machine with ramp loss. GSVM2-RL is the formulation found in Hess E. and Brooks P. (2015) paper, The Support Vector Machine and Mixed Integer Linear Programming: Ramp Loss SVM with L1-Norm Regularization	1.224101	2
	neos-pseudoapplication-109	Jeff Linderoth	(None provided)	1.394798	3
	noip	Christopher Hojny	integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists	1.497203	4
	neos-pseudoapplication-74	Jeff Linderoth	(None provided)	1.498564	5

Type:	Instance
Submitter:	Siemens
Description:	Assembly line balancing for printed circuit board production
	MIPLIB Entry

Model Group Assignment from MIPLIB:	sct
Assigned Model Group Rank/ISS in the MIC:	198 / 3.606

sct5: Instance-to-Instance Comparison Results

Parent Instance (sct5)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

sct5: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary