Instance - xmas10-2

xmas10-2: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	Simon Felix
Description:	Another formulation of\xa0an FHNW puzzle (Mix of longest path and flow problem) (Known bounds:\xa0497-511)
	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	xmas10 [MIPLIB]	gen-ip002 [MIPLIB]	gen-ip054 [MIPLIB]	scpm1 [MIPLIB]	gen-ip016 [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 / 0.712	2 / 1.117	3 / 1.119	4 / 1.143	5 / 1.147
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	xmas10 [MIPLIB]	a2c1s1 [MIPLIB]	a1c1s1 [MIPLIB]	rocI-3-11 [MIPLIB]	neos-1423785 [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 / 0.712	172 / 1.502	180 / 1.508	447 / 1.617	862 / 1.998
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 xmas10-2, the five most similar instances to xmas10-2 according to the MIC, and the five most similar instances to xmas10-2 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	xmas10-2 [MIPLIB]	Simon Felix	Another formulation of\xa0an FHNW puzzle (Mix of longest path and flow problem) (Known bounds:\xa0497-511)	0.000000	-
MIC Top 5	xmas10 [MIPLIB]	Simon Felix	An ILP formulation of\xa0an FHNW puzzle (a mix of longest path and a flow problem).	0.711888	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.	1.116925	2
	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.	1.118505	3
	scpm1 [MIPLIB]	Shunji Umetani	This is a random test instance 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 instances. We have also generated reduced instances 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 instance generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark	1.142511	4
	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.	1.146962	5
MIPLIB Top 5	xmas10 [MIPLIB]	Simon Felix	An ILP formulation of\xa0an FHNW puzzle (a mix of longest path and a flow problem).	0.711888	1
	a2c1s1 [MIPLIB]	M. Vyve, Y. Pochet	Lot sizing instance.	1.502229	172
	a1c1s1 [MIPLIB]	M. Vyve, Y. Pochet	Lot sizing instance. Alkis Vazacopoulos reports solving this instance using XPRESS 2006B.	1.507895	180
	rocI-3-11 [MIPLIB]	Joerg Rambau	Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions	1.616777	447
	neos-1423785 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.997639	862

xmas10-2: 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	scp	neos-pseudoapplication-21	stein	markshare	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 / 1.394	2 / 1.553	3 / 1.582	4 / 1.608	5 / 1.678

Model Group Summary

The table below contains summary information for the five most similar model groups to xmas10-2 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	1.394322	1
	neos-pseudoapplication-21	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.552583	2
	stein	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.581782	3
	markshare	G. Cornuéjols, M. Dawande	Market sharing problem	1.608339	4
	neos-pseudoapplication-74	Jeff Linderoth	(None provided)	1.677651	5

xmas10-2: Instance-to-Instance Comparison Results

Parent Instance (xmas10-2)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

xmas10-2: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary