Instance - bmoipr2


	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	b-ball [MIPLIB]	mod008inf [MIPLIB]	gen-ip054 [MIPLIB]	markshare2 [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 / 1.054	2 / 1.170	3 / 1.176	4 / 1.177	5 / 1.190
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	supportcase25 [MIPLIB]	sing44 [MIPLIB]	sing326 [MIPLIB]	momentum1 [MIPLIB]	app3 [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.	282 / 1.521	451 / 1.636	522 / 1.681	607 / 1.748	628 / 1.770
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 bmoipr2, the five most similar instances to bmoipr2 according to the MIC, and the five most similar instances to bmoipr2 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	bmoipr2 [MIPLIB]	Sean MacDermant	BMO IPR2 Logistics	0.000000	-
MIC Top 5	b-ball [MIPLIB]	Christopher Cullenbine	It is a very simple problem, yet CPLEX will not close the MIPGAP. CPLEX seems to get stuck in a loop or something.	1.053778	1
	mod008inf [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.169506	2
	gen-ip054 [MIPLIB]	Simon Bowly	Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms.	1.175676	3
	markshare2 [MIPLIB]	G. Cornuéjols, M. Dawande	Market sharing problem	1.177381	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	1.189627	5
MIPLIB Top 5	supportcase25 [MIPLIB]	Michael Winkler	MIP instances collected from Gurobi forum with unknown application	1.520781	282
	sing44 [MIPLIB]	Daniel Espinoza	Imported from the MIPLIB2010 submissions.	1.636157	451
	sing326 [MIPLIB]	Daniel Espinoza	Imported from the MIPLIB2010 submissions.	1.681049	522
	momentum1 [MIPLIB]	T. Koch	Snapshot based UMTS planning problem, having a very wide dynamic range in the matrix coefficients and tending to be numerically unstable. Solved with Gurobi 4.5.1 on a 12-core Linux system in 3590.41 sec.	1.747975	607
	app3 [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.	1.769540	628

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	scp	markshare	neos-pseudoapplication-74	stein	neos-pseudoapplication-21
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 / 1.545	2 / 1.697	3 / 1.718	4 / 1.777	5 / 1.829

Model Group Summary

The table below contains summary information for the five most similar model groups to bmoipr2 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	1.544743	1
	markshare	G. Cornuéjols, M. Dawande	Market sharing problem	1.697255	2
	neos-pseudoapplication-74	Jeff Linderoth	(None provided)	1.718064	3
	stein	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.777124	4
	neos-pseudoapplication-21	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.828832	5

Type:	Instance
Submitter:	Sean MacDermant
Description:	BMO IPR2 Logistics
	MIPLIB Entry

Model Group Assignment from MIPLIB:	no model group assignment
Assigned Model Group Rank/ISS in the MIC:	N.A. / N.A.

bmoipr2: Instance-to-Instance Comparison Results

Parent Instance (bmoipr2)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

bmoipr2: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary