ns1952667: 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 (ns1952667)

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

ns1952667 Raw ns1952667 Decomposed ns1952667 Composite of MIC top 5 ns1952667 Composite of MIPLIB top 5 ns1952667 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 neos5 decomposed gen-ip036 decomposed f2gap801600 decomposed f2gap401600 decomposed
Name scpl4 [MIPLIB] neos5 [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 / 0.630 2 / 0.710 3 / 0.754 4 / 0.757 5 / 0.796
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
scpl4 raw neos5 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.
neos-5045105-creuse decomposed markshare2 decomposed markshare1 decomposed markshare_5_0 decomposed markshare_4_0 decomposed
Name neos-5045105-creuse [MIPLIB] markshare2 [MIPLIB] markshare1 [MIPLIB] markshare_5_0 [MIPLIB] markshare_4_0 [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.
70 / 1.359 100 / 1.440 190 / 1.555 259 / 1.616 670 / 1.796
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-5045105-creuse raw markshare2 raw markshare1 raw markshare_5_0 raw markshare_4_0 raw

Instance Summary

The table below contains summary information for ns1952667, the five most similar instances to ns1952667 according to the MIC, and the five most similar instances to ns1952667 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance ns1952667 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 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 0.630326 1
neos5 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.709619 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. 0.753863 3
f2gap801600 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 0.756803 4
f2gap401600 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 0.795575 5
MIPLIB Top 5 neos-5045105-creuse [MIPLIB] Jeff Linderoth (None provided) 1.358518 70
markshare2 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 1.440295 100
markshare1 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 1.554611 190
markshare_5_0 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 1.616303 259
markshare_4_0 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 1.795713 670


ns1952667: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-78
Assigned Model Group Rank/ISS in the MIC: 23 / 1.890

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: neos-pseudoapplication-101 Model group: independentset Model group: neos-pseudoapplication-21 Model group: f2gap
Name generated neos-pseudoapplication-101 independentset neos-pseudoapplication-21 f2gap
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 / 0.876 2 / 0.880 3 / 0.924 4 / 0.987 5 / 1.096

Model Group Summary

The table below contains summary information for the five most similar model groups to ns1952667 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. 0.875605 1
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. 0.879874 2
independentset Toni Sorrell These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 0.923594 3
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.986598 4
f2gap Salim Haddadi Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.096480 5


Updated August 16, 2019