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piperout-03: Instance-to-Instance Comparison Results
| Type: | Instance |
| Submitter: | Gleb Belov |
| Description: | Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing |
| MIPLIB Entry |
Parent Instance (piperout-03)
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 | piperout-08 [MIPLIB] | piperout-27 [MIPLIB] | h80x6320 [MIPLIB] | stein15inf [MIPLIB] | app2-1 [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 / 0.612 | 2 / 0.971 | 3 / 1.131 | 4 / 1.161 | 5 / 1.172 | |
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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 | piperout-08 [MIPLIB] | piperout-27 [MIPLIB] | supportcase17 [MIPLIB] | piperout-d20 [MIPLIB] | piperout-d27 [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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1 / 0.612 | 2 / 0.971 | 602 / 1.757 | 870 / 2.353 | 878 / 2.390 | |
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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 piperout-03, the five most similar instances to piperout-03 according to the MIC, and the five most similar instances to piperout-03 according to MIPLIB 2017.
| INSTANCE | SUBMITTER | DESCRIPTION | ISS | RANK | |
|---|---|---|---|---|---|
| Parent Instance | piperout-03 [MIPLIB] | Gleb Belov | Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing | 0.000000 | - |
| MIC Top 5 | piperout-08 [MIPLIB] | Gleb Belov | Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing | 0.612182 | 1 |
| piperout-27 [MIPLIB] | Gleb Belov | Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing | 0.970717 | 2 | |
| h80x6320 [MIPLIB] | MIPLIB submission pool | Imported from the MIPLIB2010 submissions. | 1.131382 | 3 | |
| stein15inf [MIPLIB] | MIPLIB submission pool | Imported from the MIPLIB2010 submissions. | 1.161307 | 4 | |
| app2-1 [MIPLIB] | Emilie Danna | The archive contains 5 instances coming from 3 applications.app1 is interesting because the continuous variables (w) drive the model.Some solvers have numerical problems on app2 models: some solutions found violate the constraints by a small amount.app2 and app3 models are easy to solve. But they don't solve fast enough for the time limit I have in mind so I'd like to propose them for inclusion in MIPLIB. | 1.172020 | 5 | |
| MIPLIB Top 5 | piperout-08 [MIPLIB] | Gleb Belov | Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing | 0.612182 | 1 |
| piperout-27 [MIPLIB] | Gleb Belov | Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing | 0.970717 | 2 | |
| supportcase17 [MIPLIB] | Michael Winkler | MIP instances collected from Gurobi forum with unknown application | 1.757497 | 602 | |
| piperout-d20 [MIPLIB] | Gleb Belov | Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing | 2.352853 | 870 | |
| piperout-d27 [MIPLIB] | Gleb Belov | Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing | 2.389981 | 878 |
piperout-03: Instance-to-Model Comparison Results
| Model Group Assignment from MIPLIB: | piperout |
| Assigned Model Group Rank/ISS in the MIC: | 155 / 3.123 |
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 | markshare | neos-pseudoapplication-109 | drayage | |
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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 / 1.491 | 2 / 1.563 | 3 / 1.585 | 4 / 1.625 | 5 / 1.669 |
Model Group Summary
The table below contains summary information for the five most similar model groups to piperout-03 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 | 1.491374 | 1 |
| stein | MIPLIB submission pool | Imported from the MIPLIB2010 submissions. | 1.562666 | 2 | |
| markshare | G. Cornuéjols, M. Dawande | Market sharing problem | 1.585311 | 3 | |
| neos-pseudoapplication-109 | Jeff Linderoth | (None provided) | 1.625376 | 4 | |
| drayage | F. Jordan Srour | The .rar file contains three folders: 1) R_mps with all of the models (165, organized into 5 groups R0_, R25_, R50_, R75_, and R100_*), 2) results_and_runtimes with datafiles on the runtime and results, and 3) doc with documentation on the models in the form of a pdf. | 1.668793 | 5 |
