eil33-2: Instance-to-Instance Comparison Results

Type: Instance
Submitter: J. Linderoth
Description: Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB
MIPLIB Entry

Parent Instance (eil33-2)

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

eil33-2 Raw eil33-2 Decomposed eil33-2 Composite of MIC top 5 eil33-2 Composite of MIPLIB top 5 eil33-2 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.
scpl4 decomposed f2gap801600 decomposed pythago7825 decomposed neos-5189128-totara decomposed iis-hc-cov decomposed
Name scpl4 [MIPLIB] f2gap801600 [MIPLIB] pythago7825 [MIPLIB] neos-5189128-totara [MIPLIB] iis-hc-cov [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 / 0.713 2 / 0.721 3 / 0.723 4 / 0.731 5 / 0.749
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
scpl4 raw f2gap801600 raw pythago7825 raw neos-5189128-totara raw iis-hc-cov 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.
eilC76-2 decomposed eilA101-2 decomposed irp decomposed t1717 decomposed t1722 decomposed
Name eilC76-2 [MIPLIB] eilA101-2 [MIPLIB] irp [MIPLIB] t1717 [MIPLIB] t1722 [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.
13 / 0.855 14 / 0.876 31 / 1.126 273 / 1.862 582 / 2.081
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
eilC76-2 raw eilA101-2 raw irp raw t1717 raw t1722 raw

Instance Summary

The table below contains summary information for eil33-2, the five most similar instances to eil33-2 according to the MIC, and the five most similar instances to eil33-2 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance eil33-2 [MIPLIB] J. Linderoth Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB 0.000000 -
MIC Top 5 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 0.712628 1
f2gap801600 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 0.720508 2
pythago7825 [MIPLIB] Felix J. L. Willamowski 2-coloring of Pythagorean triples 0.722582 3
neos-5189128-totara [MIPLIB] Hans Mittelmann distribution of fruit 0.731377 4
iis-hc-cov [MIPLIB] Marc Pfetsch 23 "middlehard" Set-Covering Instances for MIPLIB: they have a small number of variables compared to the number of constraints and CPLEX 12.1 needs about one hour to solve them.For more information, have a look into the readme file which explains how the instances can be created. 0.748554 5
MIPLIB Top 5 eilC76-2 [MIPLIB] J. Linderoth Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB Imported from the MIPLIB2010 submissions. 0.855257 13
eilA101-2 [MIPLIB] J. Linderoth Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB 0.876079 14
irp [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.125566 31
t1717 [MIPLIB] R. Borndörfer Vehicle scheduling set partitioning problem from Berlin's Telebus handicapped people's transportation system 1.862428 273
t1722 [MIPLIB] R. Borndörfer Vehicle scheduling set partitioning problem from Berlin's Telebus handicapped people's transportation system 2.080738 582


eil33-2: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: eil
Assigned Model Group Rank/ISS in the MIC: 203 / 2.689

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: generated Model group: f2gap Model group: neos-pseudoapplication-101 Model group: independentset Model group: neos-pseudoapplication-21
Name generated f2gap neos-pseudoapplication-101 independentset 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 / 0.810 2 / 0.830 3 / 0.854 4 / 0.872 5 / 1.053

Model Group Summary

The table below contains summary information for the five most similar model groups to eil33-2 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 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. 0.810417 1
f2gap Salim Haddadi Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 0.830283 2
neos-pseudoapplication-101 NEOS Server Submission Model coming from the NEOS Server with unknown application. Infeasibility claimed by CPLEX 12.6 and CPLEX 12.6.1 with extreme numerical caution emphasi after 4 and 2 hours computation, respectively. 0.854496 3
independentset Toni Sorrell These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 0.872484 4
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.052785 5


Updated August 16, 2019