gen-ip036: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Simon Bowly
Description: 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.
MIPLIB Entry

Parent Instance (gen-ip036)

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

gen-ip036 Raw gen-ip036 Decomposed gen-ip036 Composite of MIC top 5 gen-ip036 Composite of MIPLIB top 5 gen-ip036 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.
gen-ip021 decomposed gen-ip016 decomposed gen-ip002 decomposed scpl4 decomposed neos5 decomposed
Name gen-ip021 [MIPLIB] gen-ip016 [MIPLIB] gen-ip002 [MIPLIB] scpl4 [MIPLIB] neos5 [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 / 0.453 2 / 0.490 3 / 0.513 4 / 0.583 5 / 0.597
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
gen-ip021 raw gen-ip016 raw gen-ip002 raw scpl4 raw neos5 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.
gen-ip016 decomposed gen-ip002 decomposed supportcase39 decomposed mik-250-20-75-2 decomposed mik-250-20-75-3 decomposed
Name gen-ip016 [MIPLIB] gen-ip002 [MIPLIB] supportcase39 [MIPLIB] mik-250-20-75-2* [MIPLIB] mik-250-20-75-3* [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.
2 / 0.490 3 / 0.513 840 / 1.710 182* / 1.407* 182* / 1.407*
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
gen-ip016 raw gen-ip002 raw supportcase39 raw mik-250-20-75-2 raw mik-250-20-75-3 raw

Instance Summary

The table below contains summary information for gen-ip036, the five most similar instances to gen-ip036 according to the MIC, and the five most similar instances to gen-ip036 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance 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. 0.000000 -
MIC Top 5 gen-ip021 [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. 0.452996 1
gen-ip016 [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. Solved with XPRESS in a few seconds. 0.490407 2
gen-ip002 [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. 0.512569 3
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 0.583260 4
neos5 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.597265 5
MIPLIB Top 5 gen-ip016 [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. Solved with XPRESS in a few seconds. 0.490407 2
gen-ip002 [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. 0.512569 3
supportcase39 [MIPLIB] Domenico Salvagnin Instance coming from IBM developerWorks forum with unknown application. 1.709750 840
mik-250-20-75-2* [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.406628* 182*
mik-250-20-75-3* [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.406628* 182*


gen-ip036: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: generated
Assigned Model Group Rank/ISS in the MIC: 5 / 1.064

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 / 0.668 2 / 0.766 3 / 0.881 4 / 0.952 5 / 1.065

Model Group Summary

The table below contains summary information for the five most similar model groups to gen-ip036 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 0.667978 1
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.766012 2
markshare G. Cornuéjols, M. Dawande Market sharing problem 0.880893 3
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.951655 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. 1.064799 5


* mik-250-20-75-2 is a duplicate of mik-250-20-75-5. mik-250-20-75-3 is a duplicate of mik-250-20-75-5.