Instance - atlanta-ip

atlanta-ip: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	E-Plus, D. Bienstock, A. Bley, R. Wessäly
Description:	Min-cost network dimensioning problems with a finite set of link capacities for each bidirected link, unsplittable shortest path routing, path restoration for single node failures, and routing path length restrictions
	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	nw04 [MIPLIB]	air03 [MIPLIB]	msc98-ip [MIPLIB]	eil33-2 [MIPLIB]	scpl4 [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 / 1.446	2 / 1.541	3 / 1.551	4 / 1.569	5 / 1.569
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	msc98-ip [MIPLIB]	rococoC11-011100 [MIPLIB]	lr1dr02vc05v8a-t360 [MIPLIB]	sing44 [MIPLIB]	sing326 [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 / 1.551	266 / 2.241	350 / 2.301	577 / 2.409	606 / 2.425
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 atlanta-ip, the five most similar instances to atlanta-ip according to the MIC, and the five most similar instances to atlanta-ip according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	atlanta-ip [MIPLIB]	E-Plus, D. Bienstock, A. Bley, R. Wessäly	Min-cost network dimensioning problems with a finite set of link capacities for each bidirected link, unsplittable shortest path routing, path restoration for single node failures, and routing path length restrictions	0.000000	-
MIC Top 5	nw04 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.446090	1
	air03 [MIPLIB]	G. Astfalk	Airline crew scheduling set partitioning problem	1.540777	2
	msc98-ip [MIPLIB]	E-Plus, D. Bienstock, A. Bley, R. Wessäly	Min-cost network dimensioning problems with a finite set of link capacities for each bidirected link, unsplittable shortest path routing, path restoration for single node failures, and routing path length restrictions	1.550803	3
	eil33-2 [MIPLIB]	J. Linderoth	Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB	1.568604	4
	scpl4 [MIPLIB]	Shunji Umetani	This is a random test instance generator for SCP using the scheme of the following paper, namely the column cost c[j] are integer randomly generated from [1,100]; every column covers at least one row; and every row is covered by at least two columns. see reference: E. Balas and A. Ho, Set covering algorithms using cutting planes, heuristics, and subgradient optimization: A computational study, Mathematical Programming, 12 (1980), 37-60. We have newly generated Classes I-N with the following parameter values, where each class has five instances. We have also generated reduced instances by a standard pricing method in the following paper: S. Umetani and M. Yagiura, Relaxation heuristics for the set covering problem, Journal of the Operations Research Society of Japan, 50 (2007), 350-375. You can obtain the instance generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark	1.568861	5
MIPLIB Top 5	msc98-ip [MIPLIB]	E-Plus, D. Bienstock, A. Bley, R. Wessäly	Min-cost network dimensioning problems with a finite set of link capacities for each bidirected link, unsplittable shortest path routing, path restoration for single node failures, and routing path length restrictions	1.550803	3
	rococoC11-011100 [MIPLIB]	A. Chabrier, E. Danna, C. Le Pape, L. Perron	Model for dimensioning the arc capacities in a telecommunication network. Solved by Gurobi 4.5.1 (4 threads) in 66892.47 seconds.	2.241206	266
	lr1dr02vc05v8a-t360 [MIPLIB]	Dimitri Papageorgiou	Maritime Inventory Routing Problem Library - Group 2 Instances. These instances are available at https://mirplib.scl.gatech.edu/instances, along with a host of additional information such as the underlying data used to generate the model, best known upper and lower bounds, and more. There are three sets of 24 instances (for a total of 72 instances) with a planning horizon of 120, 180, and 360 time periods, respectively. As of March 2016, Cplex and Gurobi could only solve one or two to provably optimality in less than an hour.	2.301471	350
	sing44 [MIPLIB]	Daniel Espinoza	Imported from the MIPLIB2010 submissions.	2.408866	577
	sing326 [MIPLIB]	Daniel Espinoza	Imported from the MIPLIB2010 submissions.	2.424625	606

atlanta-ip: 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	neos-pseudoapplication-101	generated	independentset	neos-pseudoapplication-21	f2gap
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 / 2.167	2 / 2.182	3 / 2.189	4 / 2.225	5 / 2.276

Model Group Summary

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

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	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.	2.167218	1
	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.	2.182044	2
	independentset	Toni Sorrell	These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs.	2.189394	3
	neos-pseudoapplication-21	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	2.224562	4
	f2gap	Salim Haddadi	Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600)	2.276354	5

atlanta-ip: Instance-to-Instance Comparison Results

Parent Instance (atlanta-ip)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

atlanta-ip: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary