Instance - thor50dday

thor50dday: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	Daniel Rehfeldt
Description:	Steiner tree problem in graphs instance, consisting of a complete graph with 231 vertices of which 50 are terminals. The vertices correspond to cities (mostly capitals) around the world, the edges weights correspond to the distances in km.
	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	neos-876808 [MIPLIB]	ns1430538 [MIPLIB]	cap6000 [MIPLIB]	neos-4408804-prosna [MIPLIB]	graph40-20-1rand [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 / 0.227	2 / 0.256	3 / 0.297	4 / 0.303	5 / 0.309
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	brasil [MIPLIB]	berlin [MIPLIB]	mc8 [MIPLIB]	mc11* [MIPLIB]	mc7* [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.	12 / 0.346	17 / 0.369	259 / 1.063	259* / 1.063*	259* / 1.063*
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 thor50dday, the five most similar instances to thor50dday according to the MIC, and the five most similar instances to thor50dday according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	thor50dday [MIPLIB]	Daniel Rehfeldt	Steiner tree problem in graphs instance, consisting of a complete graph with 231 vertices of which 50 are terminals. The vertices correspond to cities (mostly capitals) around the world, the edges weights correspond to the distances in km.	0.000000	-
MIC Top 5	neos-876808 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	0.226862	1
	ns1430538 [MIPLIB]	NEOS Server Submission	Instance coming from the NEOS Server with unknown application.	0.255791	2
	cap6000 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.297345	3
	neos-4408804-prosna [MIPLIB]	Hans Mittelmann	Collection of anonymous submissions to the NEOS Server for Optimization	0.303412	4
	graph40-20-1rand [MIPLIB]	Michael Bastubbe	Packing Cuts in Undirected Graphs. Instances are described in 4.1.	0.308501	5
MIPLIB Top 5	brasil [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.346138	12
	berlin [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.368846	17
	mc8 [MIPLIB]	F. Ortega, L. Wolsey	Fixed cost network flow problems	1.063056	259
	mc11* [MIPLIB]	F. Ortega, L. Wolsey	Fixed cost network flow problems	1.063056*	259*
	mc7* [MIPLIB]	F. Ortega, L. Wolsey	Fixed cost network flow problems	1.063056*	259*

thor50dday: 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	n37	map	seqsolve	sp_product	radiation
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 / 0.564	2 / 0.629	3 / 0.633	4 / 0.641	5 / 0.646

Model Group Summary

The table below contains summary information for the five most similar model groups to thor50dday according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	n37	J. Aronson	Fixed charge transportation problem	0.563913	1
	map	Kiyan Ahmadizadeh	Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem	0.628699	2
	seqsolve	Irv Lustig	The 3 problems in this group (seqsolve1-seqsolve3) represent a hierarchical optimization process, which is derived from a customer problem for assigning people to sites into blocks of time on days of the week. The specialty of this submission is that the best known solution for seqsolveX can be used as a MIP start for seqsolveX+1. For a description of the connections between the problems, please refer to the README.txt contained in the model data for this submission, which also includes MIP start files and a Gurobi log file.	0.633405	3
	sp_product	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.641497	4
	radiation	Gleb Belov	Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38	0.646414	5

thor50dday: Instance-to-Instance Comparison Results

Parent Instance (thor50dday)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

thor50dday: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary