Instance - milo-v13-4-3d-3-0

milo-v13-4-3d-3-0: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	Tamas Terlaky
Description:	The models come from structural design optimization where the objective is to minimize the total weight of 2 and 3 dimensional cantilevers. The 2D examples are simpler, and GuRobi can solve the 40_1 and 58_1 instances, while struggles with 75_1. The 3D examples are more challenging. The x_0 and x_1 models are two different modeling of the same identical problems, so their optimal value is the same. The 1_x and 2_x problems are solved by GuRoBi, the 3_x and 4_x are not solved in reasonable time.
	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-3118745-obra [MIPLIB]	beasleyC3 [MIPLIB]	beasleyC1 [MIPLIB]	beavma [MIPLIB]	r50x360 [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 / 0.612	2 / 0.632	3 / 0.642	4 / 0.645	5 / 0.655
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	milo-v12-6-r2-40-1 [MIPLIB]	milo-v12-6-r1-58-1 [MIPLIB]	milo-v12-6-r1-75-1 [MIPLIB]	milo-v13-4-3d-4-0 [MIPLIB]	supportcase17 [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.	48 / 0.840	64 / 0.885	77 / 0.901	162 / 1.027	410 / 1.369
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 milo-v13-4-3d-3-0, the five most similar instances to milo-v13-4-3d-3-0 according to the MIC, and the five most similar instances to milo-v13-4-3d-3-0 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	milo-v13-4-3d-3-0 [MIPLIB]	Tamas Terlaky	The models come from structural design optimization where the objective is to minimize the total weight of 2 and 3 dimensional cantilevers. The 2D examples are simpler, and GuRobi can solve the 40_1 and 58_1 instances, while struggles with 75_1. The 3D examples are more challenging. The x_0 and x_1 models are two different modeling of the same identical problems, so their optimal value is the same. The 1_x and 2_x problems are solved by GuRoBi, the 3_x and 4_x are not solved in reasonable time.	0.000000	-
MIC Top 5	neos-3118745-obra [MIPLIB]	Jeff Linderoth	(None provided)	0.611751	1
	beasleyC3 [MIPLIB]	F. Ortega, L. Wolsey	Fixed cost network flow problems	0.632269	2
	beasleyC1 [MIPLIB]	F. Ortega, L. Wolsey	Fixed cost network flow problems	0.641894	3
	beavma [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.645469	4
	r50x360 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.655038	5
MIPLIB Top 5	milo-v12-6-r2-40-1 [MIPLIB]	Tamas Terlaky	The models come from structural design optimization where the objective is to minimize the total weight of 2 and 3 dimensional cantilevers. The 2D examples are simpler, and GuRobi can solve the 40_1 and 58_1 instances, while struggles with 75_1. The 3D examples are more challenging. The x_0 and x_1 models are two different modeling of the same identical problems, so their optimal value is the same. The 1_x and 2_x problems are solved by GuRoBi, the 3_x and 4_x are not solved in reasonable time.	0.840079	48
	milo-v12-6-r1-58-1 [MIPLIB]	Tamas Terlaky	The models come from structural design optimization where the objective is to minimize the total weight of 2 and 3 dimensional cantilevers. The 2D examples are simpler, and GuRobi can solve the 40_1 and 58_1 instances, while struggles with 75_1. The 3D examples are more challenging. The x_0 and x_1 models are two different modeling of the same identical problems, so their optimal value is the same. The 1_x and 2_x problems are solved by GuRoBi, the 3_x and 4_x are not solved in reasonable time.	0.884558	64
	milo-v12-6-r1-75-1 [MIPLIB]	Tamas Terlaky	The models come from structural design optimization where the objective is to minimize the total weight of 2 and 3 dimensional cantilevers. The 2D examples are simpler, and GuRobi can solve the 40_1 and 58_1 instances, while struggles with 75_1. The 3D examples are more challenging. The x_0 and x_1 models are two different modeling of the same identical problems, so their optimal value is the same. The 1_x and 2_x problems are solved by GuRoBi, the 3_x and 4_x are not solved in reasonable time.	0.900720	77
	milo-v13-4-3d-4-0 [MIPLIB]	Tamas Terlaky	The models come from structural design optimization where the objective is to minimize the total weight of 2 and 3 dimensional cantilevers. The 2D examples are simpler, and GuRobi can solve the 40_1 and 58_1 instances, while struggles with 75_1. The 3D examples are more challenging. The x_0 and x_1 models are two different modeling of the same identical problems, so their optimal value is the same. The 1_x and 2_x problems are solved by GuRoBi, the 3_x and 4_x are not solved in reasonable time.	1.026717	162
	supportcase17 [MIPLIB]	Michael Winkler	MIP instances collected from Gurobi forum with unknown application	1.369353	410

milo-v13-4-3d-3-0: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB:	milo
Assigned Model Group Rank/ISS in the MIC:	21 / 1.618

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	neos-pseudoapplication-2	noip	beasley	ab	sp_product
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 / 1.018	2 / 1.068	3 / 1.236	4 / 1.238	5 / 1.252

Model Group Summary

The table below contains summary information for the five most similar model groups to milo-v13-4-3d-3-0 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	neos-pseudoapplication-2	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.018427	1
	noip	Christopher Hojny	integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists	1.068401	2
	beasley	F. Ortega, L. Wolsey	Fixed cost network flow problems	1.235800	3
	ab	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.237810	4
	sp_product	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.252161	5

milo-v13-4-3d-3-0: Instance-to-Instance Comparison Results

Parent Instance (milo-v13-4-3d-3-0)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

milo-v13-4-3d-3-0: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary