Instance - decomp1

decomp1: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	Martin Berger
Description:	Finds special structures in MIPs.
	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	decomp2 [MIPLIB]	supportcase14 [MIPLIB]	rococoC11-010100 [MIPLIB]	tbfp-bigm [MIPLIB]	rococoB10-011000 [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 / 0.444	2 / 1.105	3 / 1.133	4 / 1.182	5 / 1.212
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	decomp2 [MIPLIB]	neos-1337307 [MIPLIB]	neos-555343 [MIPLIB]	neos-555424 [MIPLIB]	neos-738098 [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.	1 / 0.444	362 / 1.679	530 / 1.791	648 / 1.882	789 / 2.106
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 decomp1, the five most similar instances to decomp1 according to the MIC, and the five most similar instances to decomp1 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	decomp1 [MIPLIB]	Martin Berger	Finds special structures in MIPs.	0.000000	-
MIC Top 5	decomp2 [MIPLIB]	Martin Berger	Finds special structures in MIPs.	0.443786	1
	supportcase14 [MIPLIB]	Michael Winkler	MIP instances collected from Gurobi forum with unknown application	1.105286	2
	rococoC11-010100 [MIPLIB]	A. Chabrier, E. Danna, C. Le Pape, L. Perron	Model for dimensioning the arc capacities in a telecommunication network.	1.132968	3
	tbfp-bigm [MIPLIB]	Rob Pratt	Two formulations (big-M and network-based) for traveling baseball fan problem. Uses data from 2014 Major League Baseball regular season. Paper uses 2014 data: http://support.sas.com/resources/papers/proceedings14/SAS101-2014.pdf Blog post uses 2015 data: http://blogs.sas.com/content/operations/2015/04/03/the-traveling-baseball-fan-problem/	1.182459	4
	rococoB10-011000 [MIPLIB]	A. Chabrier, E. Danna, C. Le Pape, L. Perron	Model for dimensioning the arc capacities in a telecommunication network	1.212118	5
MIPLIB Top 5	decomp2 [MIPLIB]	Martin Berger	Finds special structures in MIPs.	0.443786	1
	neos-1337307 [MIPLIB]	NEOS Server Submission	Instance coming from the NEOS Server with unknown application	1.678927	362
	neos-555343 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.791172	530
	neos-555424 [MIPLIB]	NEOS Server Submission	Instance coming from the NEOS Server with unknown application	1.881793	648
	neos-738098 [MIPLIB]	NEOS Server Submission	Instance coming from the NEOS Server with unknown application	2.106165	789

decomp1: 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	markshare	scp	stein	supportvectormachine	neos-pseudoapplication-21
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 / 1.574	2 / 1.607	3 / 1.652	4 / 1.801	5 / 1.833

Model Group Summary

The table below contains summary information for the five most similar model groups to decomp1 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	markshare	G. Cornuéjols, M. Dawande	Market sharing problem	1.573621	1
	scp	Shunji Umetani	This is a random test model generator for SCP using the scheme of the following paper, namely the column cost c[j] are integer randomly generated from [1,100]; every column covers at least one row; and every row is covered by at least two columns. see reference: E. Balas and A. Ho, Set covering algorithms using cutting planes, heuristics, and subgradient optimization: A computational study, Mathematical Programming, 12 (1980), 37-60. We have newly generated Classes I-N with the following parameter values, where each class has five models. We have also generated reduced models by a standard pricing method in the following paper: S. Umetani and M. Yagiura, Relaxation heuristics for the set covering problem, Journal of the Operations Research Society of Japan, 50 (2007), 350-375. You can obtain the model generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark	1.607444	2
	stein	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.651914	3
	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	1.800843	4
	neos-pseudoapplication-21	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.832563	5

decomp1: Instance-to-Instance Comparison Results

Parent Instance (decomp1)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

decomp1: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary