Instance - supportcase41


	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	gen-ip021 [MIPLIB]	gen-ip002 [MIPLIB]	gen-ip016 [MIPLIB]	f2gap401600 [MIPLIB]	gen-ip036 [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 / 1.526	2 / 1.549	3 / 1.555	4 / 1.574	5 / 1.576
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	dws012-01 [MIPLIB]	dws012-03 [MIPLIB]	dws008-03 [MIPLIB]	dws008-01 [MIPLIB]	istanbul-no-cutoff [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.	260 / 1.974	346 / 2.013	354 / 2.015	370 / 2.020	648 / 2.124
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 supportcase41, the five most similar instances to supportcase41 according to the MIC, and the five most similar instances to supportcase41 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	supportcase41 [MIPLIB]	Domenico Salvagnin	Instance coming from IBM developerWorks forum with unknown application.	0.000000	-
MIC Top 5	gen-ip021 [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.	1.525672	1
	gen-ip002 [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.	1.548855	2
	gen-ip016 [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. Solved with XPRESS in a few seconds.	1.554833	3
	f2gap401600 [MIPLIB]	Salim Haddadi	Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600)	1.574137	4
	gen-ip036 [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.	1.576083	5
MIPLIB Top 5	dws012-01 [MIPLIB]	Philipp Leise	MILP for designing a decentralized water supply system for drinking water in skyscrapers. The nonlinear characteristics of pumps are integrated with the help of an aggregated convex combination. The instances vary in the total number of floors and load scenarios for water demand. First stage variables represent the layout decisions, second stage variables represent the operational parameters, such as the continuous rotating speed of pumps or binary switching decisions.	1.974322	260
	dws012-03 [MIPLIB]	Philipp Leise	MILP for designing a decentralized water supply system for drinking water in skyscrapers. The nonlinear characteristics of pumps are integrated with the help of an aggregated convex combination. The instances vary in the total number of floors and load scenarios for water demand. First stage variables represent the layout decisions, second stage variables represent the operational parameters, such as the continuous rotating speed of pumps or binary switching decisions.	2.013416	346
	dws008-03 [MIPLIB]	Philipp Leise	MILP for designing a decentralized water supply system for drinking water in skyscrapers. The nonlinear characteristics of pumps are integrated with the help of an aggregated convex combination. The instances vary in the total number of floors and load scenarios for water demand. First stage variables represent the layout decisions, second stage variables represent the operational parameters, such as the continuous rotating speed of pumps or binary switching decisions.	2.014677	354
	dws008-01 [MIPLIB]	Philipp Leise	MILP for designing a decentralized water supply system for drinking water in skyscrapers. The nonlinear characteristics of pumps are integrated with the help of an aggregated convex combination. The instances vary in the total number of floors and load scenarios for water demand. First stage variables represent the layout decisions, second stage variables represent the operational parameters, such as the continuous rotating speed of pumps or binary switching decisions.	2.019621	370
	istanbul-no-cutoff [MIPLIB]	Utz-Uwe Haus	Exact MILP reformulation using binary decision diagrams to obtain scenario bundles of 2-stage stochastic expected shortest path and expected maximum flow problem with decision dependent scenario probabilities. Notes: * very few binary variables * for each fixing of the binaries a system of equations computing conditioned probabilities remains	2.123798	648

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	scp	neos-pseudoapplication-21	enlight	markshare	stein
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 / 1.834	2 / 1.896	3 / 1.951	4 / 1.969	5 / 1.979

Model Group Summary

The table below contains summary information for the five most similar model groups to supportcase41 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	1.833510	1
	neos-pseudoapplication-21	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.895567	2
	enlight	A. Zymolka	Model to solve model of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions.	1.951294	3
	markshare	G. Cornuéjols, M. Dawande	Market sharing problem	1.969261	4
	stein	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.978643	5

Type:	Instance
Submitter:	Domenico Salvagnin
Description:	Instance coming from IBM developerWorks forum with unknown application.
	MIPLIB Entry

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

supportcase41: Instance-to-Instance Comparison Results

Parent Instance (supportcase41)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

supportcase41: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary