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iis-hc-cov: Instance-to-Instance Comparison Results
| Type: | Instance |
| Submitter: | Marc Pfetsch |
| Description: | 23 "middlehard" Set-Covering Instances for MIPLIB: they have a small number of variables compared to the number of constraints and CPLEX 12.1 needs about one hour to solve them.For more information, have a look into the readme file which explains how the instances can be created. |
| MIPLIB Entry |
Parent Instance (iis-hc-cov)
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 | pythago7825 [MIPLIB] | eil33-2 [MIPLIB] | eilC76-2 [MIPLIB] | pythago7824 [MIPLIB] | neos-5189128-totara [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 / 0.716 | 2 / 0.749 | 3 / 0.768 | 4 / 0.769 | 5 / 0.777 | |
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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 | iis-glass-cov [MIPLIB] | glass-sc [MIPLIB] | v150d30-2hopcds [MIPLIB] | ramos3 [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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8 / 0.842 | 9 / 0.844 | 27 / 1.072 | 102 / 1.563 | 166 / 1.778 | |
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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 iis-hc-cov, the five most similar instances to iis-hc-cov according to the MIC, and the five most similar instances to iis-hc-cov according to MIPLIB 2017.
| INSTANCE | SUBMITTER | DESCRIPTION | ISS | RANK | |
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| Parent Instance | iis-hc-cov [MIPLIB] | Marc Pfetsch | 23 "middlehard" Set-Covering Instances for MIPLIB: they have a small number of variables compared to the number of constraints and CPLEX 12.1 needs about one hour to solve them.For more information, have a look into the readme file which explains how the instances can be created. | 0.000000 | - |
| MIC Top 5 | pythago7825 [MIPLIB] | Felix J. L. Willamowski | 2-coloring of Pythagorean triples | 0.715910 | 1 |
| eil33-2 [MIPLIB] | J. Linderoth | Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB | 0.748554 | 2 | |
| eilC76-2 [MIPLIB] | J. Linderoth | Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB Imported from the MIPLIB2010 submissions. | 0.768029 | 3 | |
| pythago7824 [MIPLIB] | Felix J. L. Willamowski | 2-coloring of Pythagorean triples | 0.769213 | 4 | |
| neos-5189128-totara [MIPLIB] | Hans Mittelmann | distribution of fruit | 0.777055 | 5 | |
| MIPLIB Top 5 | iis-glass-cov [MIPLIB] | Marc Pfetsch | 23 "middlehard" Set-Covering Instances for MIPLIB: they have a small number of variables compared to the number of constraints and CPLEX 12.1 needs about one hour to solve them.For more information, have a look into the readme file which explains how the instances can be created. | 0.842008 | 8 |
| glass-sc [MIPLIB] | Marc Pfetsch | Set covering problems arising from a Benders algorithm for finding maximum feasible subsystems. More details on the generation is given in the README file in the tarball. | 0.843504 | 9 | |
| v150d30-2hopcds [MIPLIB] | Austin Buchanan | A problem in wireless networks. The objective is to select a minimum number of relay nodes so that any two nonadjacent nodes can communicate by way of the chosen relay nodes in at most s hops, where s is a problem input. The 2-hop case of this problem can be formulated as a set cover/hitting set problem with n binary variables and n^2 constraints: _{ k N(i) N(j) } x_k 1 for nonadjacent node pairs {i,j}. Despite the formulation's simplicity, instances with as few as 120 variables are left unsolved after one hour using Gurobi 7.0.2. | 1.072292 | 27 | |
| ramos3 [MIPLIB] | F. Ramos | Set covering problem from a product manufacturing application | 1.563207 | 102 | |
| seymour [MIPLIB] | W. Cook, P. Seymour | A set-covering problem that arose from work related to the proof of the 4-color theorem. | 1.778229 | 166 |
iis-hc-cov: Instance-to-Model Comparison Results
| Model Group Assignment from MIPLIB: | iis |
| Assigned Model Group Rank/ISS in the MIC: | 1 / 0.702 |
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 | iis | 2hopcds | neos-pseudoapplication-106 | assign1 | f2gap | |
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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 / 0.703 | 2 / 0.794 | 3 / 0.987 | 4 / 1.004 | 5 / 1.098 |
Model Group Summary
The table below contains summary information for the five most similar model groups to iis-hc-cov according to the MIC.
| MODEL GROUP | SUBMITTER | DESCRIPTION | ISS | RANK | |
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| MIC Top 5 | iis | Marc Pfetsch | 23 "middlehard" Set-Covering Models for MIPLIB: they have a small number of variables compared to the number of constraints and CPLEX 12.1 needs about one hour to solve them.For more information, have a look into the readme file which explains how the models can be created. | 0.702988 | 1 |
| 2hopcds | Austin Buchanan | A problem in wireless networks. The objective is to select a minimum number of relay nodes so that any two nonadjacent nodes can communicate by way of the chosen relay nodes in at most s hops, where s is a problem input. The 2-hop case of this problem can be formulated as a set cover/hitting set problem with n binary variables and n^2 constraints: _{ k N(i) N(j) } x_k 1 for nonadjacent node pairs {i,j}. Despite the formulation's simplicity, models with as few as 120 variables are left unsolved after one hour using Gurobi 7.0.2. | 0.793819 | 2 | |
| neos-pseudoapplication-106 | Hans Mittelmann | Collection of anonymous submissions to the NEOS Server for Optimization | 0.987006 | 3 | |
| assign1 | Robert Fourer | Imported from the MIPLIB2010 submissions. | 1.004409 | 4 | |
| f2gap | Salim Haddadi | Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) | 1.097666 | 5 |
