Instance - eilA101-2

eilA101-2: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	J. Linderoth
Description:	Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB
	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-3352863-ancoa [MIPLIB]	eilC76-2 [MIPLIB]	2club200v15p5scn [MIPLIB]	assign1-10-4 [MIPLIB]	iis-hc-cov [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 / 0.476	2 / 0.737	3 / 0.792	4 / 0.860	5 / 0.863
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	eilC76-2 [MIPLIB]	nw04 [MIPLIB]	ivu06 [MIPLIB]	ds-big [MIPLIB]	eilC76-2** [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.	2 / 0.737	96 / 1.556	857 / 2.334	894 / 2.347	N.A. / N.A.
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 eilA101-2, the five most similar instances to eilA101-2 according to the MIC, and the five most similar instances to eilA101-2 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	eilA101-2 [MIPLIB]	J. Linderoth	Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB	0.000000	-
MIC Top 5	neos-3352863-ancoa [MIPLIB]	Jeff Linderoth	(None provided)	0.475632	1
	eilC76-2 [MIPLIB]	J. Linderoth	Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB Imported from the MIPLIB2010 submissions.	0.737120	2
	2club200v15p5scn [MIPLIB]	Balabhaskar Balasundaram	Maximum 2-club instance; graph; clique relaxations Solved with Gurobi 8.1 on 24 cores in approx. 23 hours.	0.791884	3
	assign1-10-4 [MIPLIB]	Robert Fourer	Imported from the MIPLIB2010 submissions.	0.859703	4
	iis-hc-cov [MIPLIB]	Marc Pfetsch	23 "middlehard" Set-Covering Instances for MIPLIB: they have a small number of variables compared to the number of constraints and CPLEX 12.1 needs about one hour to solve them.For more information, have a look into the readme file which explains how the instances can be created.	0.862833	5
MIPLIB Top 5	eilC76-2 [MIPLIB]	J. Linderoth	Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB Imported from the MIPLIB2010 submissions.	0.737120	2
	nw04 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.556347	96
	ivu06 [MIPLIB]	S. Weider	Set partitioning instance resulting from a column generation algorithm used for duty scheduling in public transportation. Solved in June 2014 using CPLEX 12.6 with 48 threads in about 25 days.	2.333536	857
	ds-big [MIPLIB]	Steffen Weider	Bus driver duty scheduling problem	2.347216	894
	eilC76-2** [MIPLIB]	S. Weider	Set partitioning instance resulting from a column generation algorithm used for duty scheduling in public transportation	N.A.**	N.A.**

eilA101-2: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB:	eil
Assigned Model Group Rank/ISS in the MIC:	13 / 1.493

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	iis	2hopcds	assign1	neos-pseudoapplication-106	neos-pseudoapplication-78
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 / 0.979	2 / 1.025	3 / 1.168	4 / 1.220	5 / 1.259

Model Group Summary

The table below contains summary information for the five most similar model groups to eilA101-2 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	iis	Marc Pfetsch	23 "middlehard" Set-Covering Models for MIPLIB: they have a small number of variables compared to the number of constraints and CPLEX 12.1 needs about one hour to solve them.For more information, have a look into the readme file which explains how the models can be created.	0.979208	1
	2hopcds	Austin Buchanan	A problem in wireless networks. The objective is to select a minimum number of relay nodes so that any two nonadjacent nodes can communicate by way of the chosen relay nodes in at most s hops, where s is a problem input. The 2-hop case of this problem can be formulated as a set cover/hitting set problem with n binary variables and n^2 constraints: _{ k N(i) N(j) } x_k 1 for nonadjacent node pairs {i,j}. Despite the formulation's simplicity, models with as few as 120 variables are left unsolved after one hour using Gurobi 7.0.2.	1.024715	2
	assign1	Robert Fourer	Imported from the MIPLIB2010 submissions.	1.168344	3
	neos-pseudoapplication-106	Hans Mittelmann	Collection of anonymous submissions to the NEOS Server for Optimization	1.220363	4
	neos-pseudoapplication-78	Jeff Linderoth	(None provided)	1.259334	5

eilA101-2: Instance-to-Instance Comparison Results

Parent Instance (eilA101-2)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

eilA101-2: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary