Instance - vpphard


	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	neos17 [MIPLIB]	shipsched [MIPLIB]	vpphard2 [MIPLIB]	toll-like [MIPLIB]	liu [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 / 0.838	2 / 0.961	3 / 1.054	4 / 1.107	5 / 1.120
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	vpphard2 [MIPLIB]	toll-like [MIPLIB]	tanglegram6 [MIPLIB]	tanglegram4 [MIPLIB]	neos-950242 [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.	3 / 1.054	4 / 1.107	104 / 1.312	134 / 1.343	784 / 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 vpphard, the five most similar instances to vpphard according to the MIC, and the five most similar instances to vpphard according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	vpphard [MIPLIB]	C. Cardonha	Vehicle positioning problem instance	0.000000	-
MIC Top 5	neos17 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	0.838082	1
	shipsched [MIPLIB]	Marco Luebbecke	A ship scheduling problem on the Kiel Canal	0.961090	2
	vpphard2 [MIPLIB]	C. Cardonha	Vehicle positioning problem instance. Solved using CPLEX 12.4 in 43987 seconds (May 2012). Solved using Gurobi 5.6.2 in 124 seconds (May 2014).Solved using CPLEX 12.6 in 225 seconds (May 2014).	1.053779	3
	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.	1.106881	4
	liu [MIPLIB]	X. Liu	Floorplan and placement problem in the physical design of VLSI circuits	1.119543	5
MIPLIB Top 5	vpphard2 [MIPLIB]	C. Cardonha	Vehicle positioning problem instance. Solved using CPLEX 12.4 in 43987 seconds (May 2012). Solved using Gurobi 5.6.2 in 124 seconds (May 2014).Solved using CPLEX 12.6 in 225 seconds (May 2014).	1.053779	3
	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.	1.106881	4
	tanglegram6 [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).	1.312366	104
	tanglegram4 [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).	1.342771	134
	neos-950242 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	2.123710	784

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	neos-pseudoapplication-2	sp_product	map	huefner	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 / 1.539	2 / 1.589	3 / 1.628	4 / 1.647	5 / 1.672

Model Group Summary

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

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	neos-pseudoapplication-2	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.539044	1
	sp_product	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.589274	2
	map	Kiyan Ahmadizadeh	Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem	1.627593	3
	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).	1.646712	4
	neos-pseudoapplication-74	Jeff Linderoth	(None provided)	1.671784	5

Type:	Instance
Submitter:	C. Cardonha
Description:	Vehicle positioning problem instance
	MIPLIB Entry

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

vpphard: Instance-to-Instance Comparison Results

Parent Instance (vpphard)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

vpphard: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary