neos-1601936: Instance-to-Instance Comparison Results

Type: Instance
Submitter: NEOS Server Submission
Description: Instance coming from the NEOS Server with unknown application
MIPLIB Entry

Parent Instance (neos-1601936)

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

neos-1601936 Raw neos-1601936 Decomposed neos-1601936 Composite of MIC top 5 neos-1601936 Composite of MIPLIB top 5 neos-1601936 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 f2gap801600 decomposed ns1952667 decomposed f2gap401600 decomposed pythago7824 decomposed
Name neos5 [MIPLIB] f2gap801600 [MIPLIB] ns1952667 [MIPLIB] f2gap401600 [MIPLIB] pythago7824 [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 / 1.223 2 / 1.258 3 / 1.290 4 / 1.306 5 / 1.332
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos5 raw f2gap801600 raw ns1952667 raw f2gap401600 raw pythago7824 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.
neos-1605061 decomposed ns1830653 decomposed neos-503737 decomposed neos-691058 decomposed neos-4477313-unzha decomposed
Name neos-1605061 [MIPLIB] ns1830653 [MIPLIB] neos-503737 [MIPLIB] neos-691058 [MIPLIB] neos-4477313-unzha [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.
11 / 1.366 68 / 1.667 151 / 1.844 174 / 1.875 947 / 2.359
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-1605061 raw ns1830653 raw neos-503737 raw neos-691058 raw neos-4477313-unzha raw

Instance Summary

The table below contains summary information for neos-1601936, the five most similar instances to neos-1601936 according to the MIC, and the five most similar instances to neos-1601936 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-1601936 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.000000 -
MIC Top 5 neos5 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.223434 1
f2gap801600 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.258405 2
ns1952667 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.289575 3
f2gap401600 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.306068 4
pythago7824 [MIPLIB] Felix J. L. Willamowski 2-coloring of Pythagorean triples 1.331575 5
MIPLIB Top 5 neos-1605061 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.366278 11
ns1830653 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.666718 68
neos-503737 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.844288 151
neos-691058 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.875102 174
neos-4477313-unzha [MIPLIB] Jeff Linderoth (None provided) 2.358830 947


neos-1601936: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-5
Assigned Model Group Rank/ISS in the MIC: 193 / 2.752

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: independentset Model group: neos-pseudoapplication-21 Model group: generated Model group: neos-pseudoapplication-101 Model group: scp
Name independentset neos-pseudoapplication-21 generated neos-pseudoapplication-101 scp
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 / 1.572 2 / 1.588 3 / 1.637 4 / 1.756 5 / 1.765

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-1601936 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 independentset Toni Sorrell These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 1.571762 1
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.588295 2
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. 1.636592 3
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. 1.756201 4
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 1.765203 5


Updated August 16, 2019