Instance - net12

net12: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	P. Belotti
Description:	Network design instance
	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	n7-3 [MIPLIB]	n6-3 [MIPLIB]	gus-sch [MIPLIB]	comp08-2idx [MIPLIB]	neos-555884 [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 / 0.389	2 / 0.410	3 / 0.430	4 / 0.440	5 / 0.441
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	istanbul-no-cutoff [MIPLIB]	loopha13 [MIPLIB]	snip10x10-35r1budget17 [MIPLIB]	neos-4477313-unzha [MIPLIB]	neos-691058 [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.	210 / 1.108	249 / 1.201	666 / 1.792	681 / 1.834	841 / 2.217
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 net12, the five most similar instances to net12 according to the MIC, and the five most similar instances to net12 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	net12 [MIPLIB]	P. Belotti	Network design instance	0.000000	-
MIC Top 5	n7-3 [MIPLIB]	A. Atamtürk	Capacitated network design problem	0.388620	1
	n6-3 [MIPLIB]	A. Atamtürk	Capacitated network design problem	0.410027	2
	gus-sch [MIPLIB]	Alexandra M. Newman	course scheduling model	0.429844	3
	comp08-2idx [MIPLIB]	Matias Sørensen	Instances comp01-21 of curriculum based course timetabling from the International Timetabling Competition 2007. These are time-assignment models (Stage I of the decomposed model), which are smaller than the full model, but still hard to solve.	0.439852	4
	neos-555884 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	0.440685	5
MIPLIB Top 5	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	1.108377	210
	loopha13 [MIPLIB]	Hamideh	This is a Gams model which uses CPLEX as a solver.	1.200771	249
	snip10x10-35r1budget17 [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	1.792476	666
	neos-4477313-unzha [MIPLIB]	Jeff Linderoth	(None provided)	1.833570	681
	neos-691058 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	2.216928	841

net12: 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	aflow	nus-prxy	ab	neos-pseudoapplication-60	seqsolve
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 / 0.696	2 / 0.735	3 / 0.795	4 / 0.890	5 / 0.909

Model Group Summary

The table below contains summary information for the five most similar model groups to net12 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	aflow	T. Achterberg	Arborescence flow problem on a graph with 40 nodes and edge density 0.9	0.695636	1
	nus-prxy	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.735336	2
	ab	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	0.795411	3
	neos-pseudoapplication-60	NEOS Server Submission	Model coming from the NEOS Server with unknown application	0.890248	4
	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.	0.908843	5

net12: Instance-to-Instance Comparison Results

Parent Instance (net12)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

net12: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary