Instance - rocII-5-11

rocII-5-11: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	Joerg Rambau
Description:	Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions
	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	rocII-8-11 [MIPLIB]	rocII-10-11 [MIPLIB]	supportcase43 [MIPLIB]	ns930473 [MIPLIB]	scpm1 [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 / 0.583	2 / 0.600	3 / 1.212	4 / 1.301	5 / 1.313
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	rocII-8-11 [MIPLIB]	rocII-10-11 [MIPLIB]	fhnw-schedule-pairb200 [MIPLIB]	net12 [MIPLIB]	app1-1 [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 / 0.583	2 / 0.600	82 / 1.530	369 / 1.658	569 / 1.745
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 rocII-5-11, the five most similar instances to rocII-5-11 according to the MIC, and the five most similar instances to rocII-5-11 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	rocII-5-11 [MIPLIB]	Joerg Rambau	Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions	0.000000	-
MIC Top 5	rocII-8-11 [MIPLIB]	Joerg Rambau	Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions	0.582884	1
	rocII-10-11 [MIPLIB]	Joerg Rambau	Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions	0.599772	2
	supportcase43 [MIPLIB]	Domenico Salvagnin	Instance coming from IBM developerWorks forum with unknown application.	1.211638	3
	ns930473 [MIPLIB]	NEOS Server Submission	Instance coming from the NEOS Server with unknown application	1.301099	4
	scpm1 [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	1.313116	5
MIPLIB Top 5	rocII-8-11 [MIPLIB]	Joerg Rambau	Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions	0.582884	1
	rocII-10-11 [MIPLIB]	Joerg Rambau	Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions	0.599772	2
	fhnw-schedule-pairb200 [MIPLIB]	Simon Felix	Continuous-time project scheduling and selection, inspired by an industry use-case. Each project has a value, the sum should be maximized. Each project has a deadline, and an earliest start date. Three formulations of the same problem ("Pair A", "Pair B" and "Slot") - we expect "Pair B" to be the best formulation.	1.529684	82
	net12 [MIPLIB]	P. Belotti	Network design instance	1.658150	369
	app1-1 [MIPLIB]	Emilie Danna	The archive contains 5 instances coming from 3 applications.app1 is interesting because the continuous variables (w) drive the model.Some solvers have numerical problems on app2 models: some solutions found violate the constraints by a small amount.app2 and app3 models are easy to solve. But they don't solve fast enough for the time limit I have in mind so I'd like to propose them for inclusion in MIPLIB.	1.744517	569

rocII-5-11: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB:	rocI
Assigned Model Group Rank/ISS in the MIC:	2 / 1.926

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	scp	rocI	neos-pseudoapplication-70	neos-pseudoapplication-21	fhnw-sq
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 / 1.835	2 / 1.926	3 / 1.942	4 / 1.968	5 / 2.025

Model Group Summary

The table below contains summary information for the five most similar model groups to rocII-5-11 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	scp	Shunji Umetani	This is a random test model 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 models. We have also generated reduced models 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 model generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark	1.835037	1
	rocI	Joerg Rambau	Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions	1.926328	2
	neos-pseudoapplication-70	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.941525	3
	neos-pseudoapplication-21	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.968035	4
	fhnw-sq	Simon Felix	Combinatorial toy fesability problem: Magic square. Models 1 & 2 are feasible, model 3 is unknown.	2.025368	5

rocII-5-11: Instance-to-Instance Comparison Results

Parent Instance (rocII-5-11)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

rocII-5-11: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary