Instance - tw-myciel4

tw-myciel4: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	Arie Koster
Description:	Model to compute the treewidth of the Mycielski-4 instance from the DIMACS graph coloring database. Solved in June 2013 by CPLEX 12.5.1 (12 threads) in about 66 hours. The solving was performed in two steps: first solving with 50 GB tree memory limit (took 11307.42 seconds), after that, setting the tree memory limit to 80 GB and switching to depth first search (took 226152.14 seconds).
	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	qnet1_o [MIPLIB]	f2gap201600 [MIPLIB]	ponderthis0517-inf [MIPLIB]	graphdraw-mainerd [MIPLIB]	neos-4338804-snowy [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 / 1.266	2 / 1.431	3 / 1.456	4 / 1.462	5 / 1.474
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	supportcase21i [MIPLIB]	genus-sym-g62-2 [MIPLIB]	genus-sym-grafo5708-48 [MIPLIB]	neos-950242 [MIPLIB]	supportcase10 [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.	82 / 1.719	201 / 1.822	499 / 1.949	629 / 2.005	966 / 2.656
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 tw-myciel4, the five most similar instances to tw-myciel4 according to the MIC, and the five most similar instances to tw-myciel4 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	tw-myciel4 [MIPLIB]	Arie Koster	Model to compute the treewidth of the Mycielski-4 instance from the DIMACS graph coloring database. Solved in June 2013 by CPLEX 12.5.1 (12 threads) in about 66 hours. The solving was performed in two steps: first solving with 50 GB tree memory limit (took 11307.42 seconds), after that, setting the tree memory limit to 80 GB and switching to depth first search (took 226152.14 seconds).	0.000000	-
MIC Top 5	qnet1_o [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.266162	1
	f2gap201600 [MIPLIB]	Salim Haddadi	Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600)	1.430722	2
	ponderthis0517-inf [MIPLIB]	Rob Pratt	Infeasible version of IBM Ponder This problem (with 52 characters and no spaces) from May 2017: https://www.research.ibm.com/haifa/ponderthis/challenges/May2017.html	1.455866	3
	graphdraw-mainerd [MIPLIB]	Cézar Augusto Nascimento e Silva	In the Graph Drawing problem a set of symbols must be placed in a plane and their connections routed. The objective is to produce aesthetically pleasant, easy to read diagrams. As a primary concern one usually tries to minimize edges crossing, edges' length, waste of space and number of bents in the connections. When formulated with these constraints the problem becomes NP-Hard . In practice many additional complicating requirements can be included, such as non-uniform sizes for symbols. Thus, some heuristics such as the generalized force-direct method and Simulated Annealing have been proposed to tackle this problem. uses a grid structure to approach the Entity-Relationship (ER) drawing problem, emphasizing the differences between ER drawing and the more classical circuit drawing problems. presented different ways of producing graph layouts (e.g.: tree, orthogonal, visibility representations, hierarchic, among others) for general graphs with applications on different subjects. The ability to automatically produce high quality layouts is very important in many applications, one of these is Software Engineering: the availability of easy to understand ER diagrams, for instance, can improve the time needed for developers to master database models and increase their productivity. Our solution approach involves two phases: (\\(i\\)) firstly the optimal placement of entities is solved, i.e.: entities are positioned so as to minimize the distances between connected entities; and (\\(ii\\)) secondly, edges are routed minimizing bends and avoiding the inclusion of connectors too close. We present the model for the first phase of our problem.	1.461565	4
	neos-4338804-snowy [MIPLIB]	Jeff Linderoth	(None provided)	1.474079	5
MIPLIB Top 5	supportcase21i [MIPLIB]	Michael Winkler	MIP with Indicator instances collected from Gurobi forum with unknown application	1.718629	82
	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.	1.822308	201
	genus-sym-grafo5708-48 [MIPLIB]	Stephan Beyer	Minimum Genus instance of grafo5708.48 from the Rome Graphs, with symmetry-breaking constraints.	1.949056	499
	neos-950242 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	2.005061	629
	supportcase10 [MIPLIB]	Michael Winkler	MIP instances collected from Gurobi forum with unknown application	2.655681	966

tw-myciel4: 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-50	neos-pseudoapplication-45	neos-pseudoapplication-102	supplynetworkplanning	neos-pseudoapplication-40
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 / 1.987	2 / 2.020	3 / 2.054	4 / 2.070	5 / 2.076

Model Group Summary

The table below contains summary information for the five most similar model groups to tw-myciel4 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	neos-pseudoapplication-50	NEOS Server Submission	Model coming from the NEOS Server with unknown application	1.987489	1
	neos-pseudoapplication-45	Jeff Linderoth	(None provided)	2.020255	2
	neos-pseudoapplication-102	Hans Mittelmann	Seem to be VRP output from 2-hour runs of Gurobi on 12 threads is included	2.053650	3
	supplynetworkplanning	Gerald Gamrath	Supply network planning problems.	2.070040	4
	neos-pseudoapplication-40	Jeff Linderoth	(None provided)	2.076412	5

tw-myciel4: Instance-to-Instance Comparison Results

Parent Instance (tw-myciel4)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

tw-myciel4: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary