Instance - nsr8k


	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	dolom1 [MIPLIB]	dc1c [MIPLIB]	trento1 [MIPLIB]	biella1 [MIPLIB]	v150d30-2hopcds [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 / 1.039	2 / 1.077	3 / 1.141	4 / 1.211	5 / 1.331
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	dolom1 [MIPLIB]	dc1c [MIPLIB]	trento1 [MIPLIB]	biella1 [MIPLIB]	dc1l [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 / 1.039	2 / 1.077	3 / 1.141	4 / 1.211	8 / 1.394
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 nsr8k, the five most similar instances to nsr8k according to the MIC, and the five most similar instances to nsr8k according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	nsr8k [MIPLIB]	MIPLIB submission pool	Crew scheduling instance	0.000000	-
MIC Top 5	dolom1 [MIPLIB]	Double-Click SAS	Crew scheduling instance. Solved with ParaSCIP with SCIP 3.0.1 linked to CPLEX 12.5 as an LP solver on HLRN III with 12288 cores in two runs First run found a feasible solution whose objective function value is 6615265.0000. Giving the feasible solution, the second run solved the instance in 13684.7671 sec.	1.038749	1
	dc1c [MIPLIB]	Double-Click SAS	Crew scheduling instance. This problem was solved on ISM supercomputer Fujitsu PRIMERGY RX200S5 (http://www.ism.ac.jp/computer_system/eng/sc/index.html) by ParaSCIP in approximately 1100 hours with 14 times restarted 15 jobs.	1.076891	2
	trento1 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.141142	3
	biella1 [MIPLIB]	Double-Click SAS	Crew scheduling instance	1.210959	4
	v150d30-2hopcds [MIPLIB]	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, instances with as few as 120 variables are left unsolved after one hour using Gurobi 7.0.2.	1.331033	5
MIPLIB Top 5	dolom1 [MIPLIB]	Double-Click SAS	Crew scheduling instance. Solved with ParaSCIP with SCIP 3.0.1 linked to CPLEX 12.5 as an LP solver on HLRN III with 12288 cores in two runs First run found a feasible solution whose objective function value is 6615265.0000. Giving the feasible solution, the second run solved the instance in 13684.7671 sec.	1.038749	1
	dc1c [MIPLIB]	Double-Click SAS	Crew scheduling instance. This problem was solved on ISM supercomputer Fujitsu PRIMERGY RX200S5 (http://www.ism.ac.jp/computer_system/eng/sc/index.html) by ParaSCIP in approximately 1100 hours with 14 times restarted 15 jobs.	1.076891	2
	trento1 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.141142	3
	biella1 [MIPLIB]	Double-Click SAS	Crew scheduling instance	1.210959	4
	dc1l [MIPLIB]	Double-Click SAS	Crew scheduling instance	1.393724	8

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	neos-pseudoapplication-5	neos-pseudoapplication-23	neos-pseudoapplication-46	bppc	sct
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 / 1.696	2 / 1.708	3 / 1.731	4 / 1.753	5 / 1.757

Model Group Summary

The table below contains summary information for the five most similar model groups to nsr8k according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	neos-pseudoapplication-5	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.696024	1
	neos-pseudoapplication-23	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.707534	2
	neos-pseudoapplication-46	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.731312	3
	bppc	Manuel Iori	The models that we attach solve the "bar-relaxation", also known as the "Bin Packing Problem with Contiguity" or the "P\|\|Cmax with contiguity". This is one of the most interesting relaxations for two dimensional cutting and packing problems. Its solution by means of an ILP software is the bottleneck of the primal decomposition methods that we attempted in the paper cited below. In detail, the files correspond to model (12)-(15) in the paper, applied to the models of the Classes 4, 6 and 8 by Martello and Vigo (Management Science, 1998).	1.752599	4
	sct	Siemens	Assembly line balancing for printed circuit board production. First solved by Gurobi 7.0 in 65 hours (32 threads).	1.757232	5

Type:	Instance
Submitter:	MIPLIB submission pool
Description:	Crew scheduling instance
	MIPLIB Entry

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

nsr8k: Instance-to-Instance Comparison Results

Parent Instance (nsr8k)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

nsr8k: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary