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hanoi5: Instance-to-Instance Comparison Results
| Type: | Instance |
| Submitter: | M. Winkler |
| Description: | Reformulated SAT instance from the 2010 SAT conference pseudo-Boolean competition. Solved due to the 2012 pseudo-Boolean competition. |
| MIPLIB Entry |
Parent Instance (hanoi5)
All other instances below were be compared against this "query" instance.  |
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Raw
This is the CCM image before the decomposition procedure has been applied.
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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.
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Composite of MIC Top 5
Composite of the five decomposed CCM images from the MIC Top 5.
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Composite of MIPLIB Top 5
Composite of the five decomposed CCM images from the MIPLIB Top 5.
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Model Group Composite Image
Composite of the decomposed CCM images for every instance in the same model group as this query.
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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.
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| Name | gt2 [MIPLIB] | b-ball [MIPLIB] | supportcase16 [MIPLIB] | neos-3322547-alsek [MIPLIB] | gen-ip054 [MIPLIB] | |
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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.
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1 / 1.220 | 2 / 1.245 | 3 / 1.287 | 4 / 1.301 | 5 / 1.310 | |
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Raw
These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
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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.
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| Name | stein15inf [MIPLIB] | stein9inf [MIPLIB] | stein45inf [MIPLIB] | f2000 [MIPLIB] | seymour [MIPLIB] | |
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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.
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14 / 1.370 | 41 / 1.463 | 42 / 1.463 | 770 / 2.006 | 839 / 2.172 | |
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Raw
These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
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Instance Summary
The table below contains summary information for hanoi5, the five most similar instances to hanoi5 according to the MIC, and the five most similar instances to hanoi5 according to MIPLIB 2017.
| INSTANCE | SUBMITTER | DESCRIPTION | ISS | RANK | |
|---|---|---|---|---|---|
| Parent Instance | hanoi5 [MIPLIB] | M. Winkler | Reformulated SAT instance from the 2010 SAT conference pseudo-Boolean competition. Solved due to the 2012 pseudo-Boolean competition. | 0.000000 | - |
| MIC Top 5 | gt2 [MIPLIB] | MIPLIB submission pool | Imported from the MIPLIB2010 submissions. | 1.220231 | 1 |
| b-ball [MIPLIB] | Christopher Cullenbine | It is a very simple problem, yet CPLEX will not close the MIPGAP. CPLEX seems to get stuck in a loop or something. | 1.245302 | 2 | |
| supportcase16 [MIPLIB] | Michael Winkler | MIP instances collected from Gurobi forum with unknown application | 1.287344 | 3 | |
| neos-3322547-alsek [MIPLIB] | Jeff Linderoth | (None provided) | 1.301263 | 4 | |
| 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. | 1.309823 | 5 | |
| MIPLIB Top 5 | stein15inf [MIPLIB] | MIPLIB submission pool | Imported from the MIPLIB2010 submissions. | 1.369798 | 14 |
| stein9inf [MIPLIB] | MIPLIB submission pool | Imported from the MIPLIB2010 submissions. | 1.462734 | 41 | |
| stein45inf [MIPLIB] | MIPLIB submission pool | Imported from the MIPLIB2010 submissions. | 1.463249 | 42 | |
| f2000 [MIPLIB] | M. Winkler | Reformulated SAT instance from the 2010 SAT conference pseudo-Boolean competition | 2.005880 | 770 | |
| seymour [MIPLIB] | W. Cook, P. Seymour | A set-covering problem that arose from work related to the proof of the 4-color theorem. | 2.172369 | 839 |
hanoi5: Instance-to-Model Comparison Results
| Model Group Assignment from MIPLIB: | no model group assignment |
| Assigned Model Group Rank/ISS in the MIC: | N.A. / N.A. |
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.
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| Name | scp | stein | neos-pseudoapplication-21 | markshare | enlight | |
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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.
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1 / 2.078 | 2 / 2.146 | 3 / 2.193 | 4 / 2.200 | 5 / 2.233 |
Model Group Summary
The table below contains summary information for the five most similar model groups to hanoi5 according to the MIC.
| MODEL GROUP | SUBMITTER | DESCRIPTION | ISS | RANK | |
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| 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 | 2.077733 | 1 |
| stein | MIPLIB submission pool | Imported from the MIPLIB2010 submissions. | 2.145883 | 2 | |
| neos-pseudoapplication-21 | NEOS Server Submission | Imported from the MIPLIB2010 submissions. | 2.193242 | 3 | |
| markshare | G. Cornuéjols, M. Dawande | Market sharing problem | 2.199686 | 4 | |
| enlight | A. Zymolka | Model to solve model of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. | 2.233245 | 5 |
