Instance - ofi

ofi: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	Luigi Poderico
Description:	Natural gas supply portfolio optimization
	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	ofi2 [MIPLIB]	pythago7824 [MIPLIB]	pythago7825 [MIPLIB]	2club200v15p5scn [MIPLIB]	neos-1601936 [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 / 0.775	2 / 1.612	3 / 1.621	4 / 1.626	5 / 1.634
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	ofi2 [MIPLIB]	ta2-UUE [MIPLIB]	neos-3355120-tarago [MIPLIB]	neos-799711 [MIPLIB]	ta1-UUM [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 / 0.775	46 / 1.884	63 / 1.966	404 / 2.550	466 / 2.586
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 ofi, the five most similar instances to ofi according to the MIC, and the five most similar instances to ofi according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	ofi [MIPLIB]	Luigi Poderico	Natural gas supply portfolio optimization	0.000000	-
MIC Top 5	ofi2 [MIPLIB]	Luigi Poderico	Imported from the MIPLIB2010 submissions.	0.775218	1
	pythago7824 [MIPLIB]	Felix J. L. Willamowski	2-coloring of Pythagorean triples	1.612226	2
	pythago7825 [MIPLIB]	Felix J. L. Willamowski	2-coloring of Pythagorean triples	1.620675	3
	2club200v15p5scn [MIPLIB]	Balabhaskar Balasundaram	Maximum 2-club instance; graph; clique relaxations Solved with Gurobi 8.1 on 24 cores in approx. 23 hours.	1.626483	4
	neos-1601936 [MIPLIB]	NEOS Server Submission	Instance coming from the NEOS Server with unknown application	1.633511	5
MIPLIB Top 5	ofi2 [MIPLIB]	Luigi Poderico	Imported from the MIPLIB2010 submissions.	0.775218	1
	ta2-UUE [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.883861	46
	neos-3355120-tarago [MIPLIB]	Hans Mittelmann	Collection of anonymous submissions to the NEOS Server for Optimization	1.966168	63
	neos-799711 [MIPLIB]	NEOS Server Submission	Instance coming from the NEOS Server with unknown application	2.549674	404
	ta1-UUM [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	2.585955	466

ofi: 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	independentset	f2gap	generated	2hopcds	neos-pseudoapplication-101
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 / 1.837	2 / 1.847	3 / 1.856	4 / 1.886	5 / 1.919

Model Group Summary

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

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	independentset	Toni Sorrell	These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs.	1.837382	1
	f2gap	Salim Haddadi	Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600)	1.846688	2
	generated	Simon Bowly	Randomly generated integer and binary programming models. These results are part of an early phase of work aimed at generating diverse and challenging MIP models for experimental testing. We have aimed to produce small integer and binary programming models which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms.	1.856064	3
	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.	1.885641	4
	neos-pseudoapplication-101	NEOS Server Submission	Model coming from the NEOS Server with unknown application. Infeasibility claimed by CPLEX 12.6 and CPLEX 12.6.1 with extreme numerical caution emphasi after 4 and 2 hours computation, respectively.	1.918784	5

ofi: Instance-to-Instance Comparison Results

Parent Instance (ofi)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

ofi: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary