Instance - s55


	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	toll-like [MIPLIB]	f2gap40400 [MIPLIB]	ns2034125 [MIPLIB]	gen-ip054 [MIPLIB]	neos-3696678-lyvia [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 / 1.155	2 / 1.255	3 / 1.307	4 / 1.320	5 / 1.321
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	neos-4531126-vouga [MIPLIB]	s82 [MIPLIB]	tbfp-network [MIPLIB]	s100 [MIPLIB]	s250r10 [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.	69 / 1.430	161 / 1.477	339 / 1.575	650 / 1.789	657 / 1.802
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 s55, the five most similar instances to s55 according to the MIC, and the five most similar instances to s55 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	s55 [MIPLIB]	Daniel Espinoza	Wine Scheduling problem with 55 jobs and four processing machines	0.000000	-
MIC Top 5	toll-like [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). Solved by Gurobi 4.6 (8 threads) in about four days after a variable transformation reducing symmetry.	1.155021	1
	f2gap40400 [MIPLIB]	Salim Haddadi	Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600)	1.254531	2
	ns2034125 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.306565	3
	gen-ip054 [MIPLIB]	Simon Bowly	Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms.	1.320246	4
	neos-3696678-lyvia [MIPLIB]	Jeff Linderoth	(None provided)	1.321162	5
MIPLIB Top 5	neos-4531126-vouga [MIPLIB]	Jeff Linderoth	(None provided)	1.430381	69
	s82 [MIPLIB]	Daniel Espinoza	Wine Scheduling problem with 82 jobs and four processing machines	1.476901	161
	tbfp-network [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/	1.574872	339
	s100 [MIPLIB]	Daniel Espinoza	Wine Scheduling problem with 100 jobs and four processing machines	1.789382	650
	s250r10 [MIPLIB]	Daniel Espinoza	Wine Scheduling problem with 250 jobs (up to 10 alternatives for processing) and four processing machines	1.801595	657

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	scp	huefner	neos-pseudoapplication-2	sp_product	markshare
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 / 1.617	2 / 1.658	3 / 1.698	4 / 1.714	5 / 1.725

Model Group Summary

The table below contains summary information for the five most similar model groups to s55 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	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	1.617304	1
	huefner	Falk Hueffner	The NP-hard Balanced Subgraph problem (variant of MaxCut) encoded as ILPs. Real-world models 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).	1.658262	2
	neos-pseudoapplication-2	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.697764	3
	sp_product	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.714100	4
	markshare	G. Cornuéjols, M. Dawande	Market sharing problem	1.724668	5

Type:	Instance
Submitter:	Daniel Espinoza
Description:	Wine Scheduling problem with 55 jobs and four processing machines
	MIPLIB Entry

Model Group Assignment from MIPLIB:	Spinoza
Assigned Model Group Rank/ISS in the MIC:	134 / 2.752

s55: Instance-to-Instance Comparison Results

Parent Instance (s55)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

s55: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary