irp: Instance-to-Instance Comparison Results

Type: Instance
Submitter: MIPLIB submission pool
Description: Imported from the MIPLIB2010 submissions.
MIPLIB Entry

Parent Instance (irp)

All other instances below were be compared against this "query" instance.

irp Raw irp Decomposed irp Composite of MIC top 5 irp Composite of MIPLIB top 5 irp Model Group Composite
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.

MIC Top 5 Instances

These are the 5 decomposed CCM images that are most similar to decomposed CCM image for the the query instance, according to the ISS metric.

Decomposed These decomposed images were created by GCG.
neos5 decomposed scpl4 decomposed gen-ip036 decomposed f2gap801600 decomposed f2gap401600 decomposed
Name neos5 [MIPLIB] scpl4 [MIPLIB] gen-ip036 [MIPLIB] f2gap801600 [MIPLIB] f2gap401600 [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 / 0.966 2 / 0.991 3 / 0.997 4 / 1.013 5 / 1.052
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos5 raw scpl4 raw gen-ip036 raw f2gap801600 raw f2gap401600 raw

MIPLIB Top 5 Instances

These are the 5 instances that are most closely related to the query instance, according to the instance statistic-based similarity measure employed by MIPLIB 2017

Decomposed These decomposed images were created by GCG.
nw04 decomposed eil33-2 decomposed air03 decomposed ds decomposed ds-big decomposed
Name nw04 [MIPLIB] eil33-2 [MIPLIB] air03 [MIPLIB] ds [MIPLIB] ds-big [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.
10 / 1.094 13 / 1.126 80 / 1.534 954 / 2.363 989 / 3.071
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
nw04 raw eil33-2 raw air03 raw ds raw ds-big raw

Instance Summary

The table below contains summary information for irp, the five most similar instances to irp according to the MIC, and the five most similar instances to irp according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance irp [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 neos5 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.966141 1
scpl4 [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 0.990558 2
gen-ip036 [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. 0.997198 3
f2gap801600 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.012743 4
f2gap401600 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.051899 5
MIPLIB Top 5 nw04 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.094144 10
eil33-2 [MIPLIB] J. Linderoth Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB 1.125566 13
air03 [MIPLIB] G. Astfalk Airline crew scheduling set partitioning problem 1.534110 80
ds [MIPLIB] MIPLIB submission pool Imported from MIPLIB2003. 2.362999 954
ds-big [MIPLIB] Steffen Weider Bus driver duty scheduling problem 3.070886 989


irp: 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.

MIC Top 5 Model Groups

These are the 5 model group composite (MGC) images that are most similar to the decomposed CCM image for the query instance, according to the ISS metric.

These are model group composite (MGC) images for the MIC top 5 model groups.
Model group: scp Model group: neos-pseudoapplication-21 Model group: markshare Model group: stein Model group: generated
Name scp neos-pseudoapplication-21 markshare stein generated
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 / 0.906 2 / 0.930 3 / 1.169 4 / 1.200 5 / 1.203

Model Group Summary

The table below contains summary information for the five most similar model groups to irp 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 0.906335 1
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.929659 2
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.168739 3
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.200176 4
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. 1.203391 5