traininstance6: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Gleb Belov
Description: Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38
MIPLIB Entry

Parent Instance (traininstance6)

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

traininstance6 Raw traininstance6 Decomposed traininstance6 Composite of MIC top 5 traininstance6 Composite of MIPLIB top 5 traininstance6 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.
traininstance2 decomposed scpm1 decomposed gen-ip054 decomposed gen-ip002 decomposed markshare1 decomposed
Name traininstance2 [MIPLIB] scpm1 [MIPLIB] gen-ip054 [MIPLIB] gen-ip002 [MIPLIB] markshare1 [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 / 0.813 2 / 1.078 3 / 1.093 4 / 1.125 5 / 1.132
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
traininstance2 raw scpm1 raw gen-ip054 raw gen-ip002 raw markshare1 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.
traininstance2 decomposed radiationm40-10-02 decomposed neos-4264598-oueme decomposed neos-585192 decomposed neos-585467 decomposed
Name traininstance2 [MIPLIB] radiationm40-10-02 [MIPLIB] neos-4264598-oueme [MIPLIB] neos-585192 [MIPLIB] neos-585467 [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.
1 / 0.813 115 / 1.422 130 / 1.433 648 / 1.732 661 / 1.745
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
traininstance2 raw radiationm40-10-02 raw neos-4264598-oueme raw neos-585192 raw neos-585467 raw

Instance Summary

The table below contains summary information for traininstance6, the five most similar instances to traininstance6 according to the MIC, and the five most similar instances to traininstance6 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance traininstance6 [MIPLIB] Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 0.000000 -
MIC Top 5 traininstance2 [MIPLIB] Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 0.812932 1
scpm1 [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 1.077977 2
gen-ip054 [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. 1.092778 3
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. 1.125259 4
markshare1 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 1.131851 5
MIPLIB Top 5 traininstance2 [MIPLIB] Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 0.812932 1
radiationm40-10-02 [MIPLIB] Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 1.421761 115
neos-4264598-oueme [MIPLIB] Jeff Linderoth (None provided) 1.433448 130
neos-585192 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.732308 648
neos-585467 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.745243 661


traininstance6: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: traininstance
Assigned Model Group Rank/ISS in the MIC: 1 / 0.957

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: traininstance Model group: scp Model group: markshare Model group: stein Model group: neos-pseudoapplication-21
Name traininstance scp markshare stein 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 / 0.958 2 / 1.383 3 / 1.476 4 / 1.541 5 / 1.626

Model Group Summary

The table below contains summary information for the five most similar model groups to traininstance6 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 traininstance Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 0.957519 1
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 1.382728 2
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.476060 3
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.541001 4
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.626434 5


Updated August 16, 2019