Instance - supportcase10

supportcase10: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	Michael Winkler
Description:	MIP instances collected from Gurobi forum with unknown application
	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	tpl-tub-ss16 [MIPLIB]	bab3 [MIPLIB]	tpl-tub-ws1617 [MIPLIB]	iis-hc-cov [MIPLIB]	icir97_tension [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 / 1.602	2 / 1.647	3 / 1.675	4 / 1.697	5 / 1.736
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	genus-sym-g62-2 [MIPLIB]	neos-3283608-agout [MIPLIB]	ns1828997 [MIPLIB]	genus-g61-25 [MIPLIB]	neos-950242 [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.	75 / 2.146	170 / 2.411	382 / 2.665	388 / 2.672	966 / 3.091
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 supportcase10, the five most similar instances to supportcase10 according to the MIC, and the five most similar instances to supportcase10 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	supportcase10 [MIPLIB]	Michael Winkler	MIP instances collected from Gurobi forum with unknown application	0.000000	-
MIC Top 5	tpl-tub-ss16 [MIPLIB]	János Höner	Model for the Post-Enrollment Course Timetabling Problem at TU Berlin from the summer term 2016 and the winter term 2016/2017	1.601854	1
	bab3 [MIPLIB]	Elmar Swarat	Vehicle routing with profits and an integrated crew scheduling problem formulated by two coupled multi-commodity flow problems	1.646937	2
	tpl-tub-ws1617 [MIPLIB]	János Höner	Model for the Post-Enrollment Course Timetabling Problem at TU Berlin from the summer term 2016 and the winter term 2016/2017	1.675326	3
	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.	1.697329	4
	icir97_tension [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.736455	5
MIPLIB Top 5	genus-sym-g62-2 [MIPLIB]	Stephan Beyer	Minimum Genus instance, with symmetry breaking constraints, of g.62.2 (undirected) of the AT&T Graphs by Stephen C. North.	2.145721	75
	neos-3283608-agout [MIPLIB]	Jeff Linderoth	(None provided)	2.410769	170
	ns1828997 [MIPLIB]	NEOS Server Submission	Instance coming from the NEOS Server with unknown application.	2.665194	382
	genus-g61-25 [MIPLIB]	Stephan Beyer	Minimum Genus instance of g.61.25 (undirected) of the AT&T Graphs by Stephen C. North.	2.671804	388
	neos-950242 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	3.090928	966

supportcase10: 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	gmu	generated	neos-pseudoapplication-101	independentset	2hopcds
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 / 2.219	2 / 2.276	3 / 2.300	4 / 2.308	5 / 2.329

Model Group Summary

The table below contains summary information for the five most similar model groups to supportcase10 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	gmu	Nora Konnyu	Timber harvest scheduling model These are harvest scheduling models of hypothetical forest planning problems where net timber revenues are maximized over a planning horizon subject to four sets of constraints: 1. Each management unit can be harvested only once over the planning horizon, 2. Volume harvested in one planning period should not be less or more than some portion of that in the preceding period, 3. Area-weighted average age of the forest by the end of the plan should notbe less than a certain target age. 4. Clearcut size in any planning period has to be below a specific limit. Decision variable are management units and generalized management units (group of management units with a combined area not exceeding the limit on clearcut size) and can be either fully harvested or left untouched in any planning period, therefore there is a binary restriction on the decision variables.	2.218663	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.	2.276142	2
	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.	2.300357	3
	independentset	Toni Sorrell	These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs.	2.307956	4
	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.	2.329229	5

supportcase10: Instance-to-Instance Comparison Results

Parent Instance (supportcase10)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

supportcase10: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary