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control20-5-10-5: Instance-to-Instance Comparison Results
| Type: | Instance |
| Submitter: | Qie He |
| Description: | Optimal control of a discrete-time switched system model Numerically challenging. Different solvers report this instance as solved to optimality, infeasible, or unbounded. |
| MIPLIB Entry |
Parent Instance (control20-5-10-5)
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 | control30-5-10-4 [MIPLIB] | n13-3 [MIPLIB] | neos-1330346 [MIPLIB] | neos-4295773-pissa [MIPLIB] | neos-555343 [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 / 0.374 | 2 / 0.600 | 3 / 0.608 | 4 / 0.622 | 5 / 0.632 | |
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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 | control30-5-10-4 [MIPLIB] | control30-3-2-3 [MIPLIB] | neos-5078479-escaut [MIPLIB] | neos-799711 [MIPLIB] | rentacar [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 / 0.374 | 11 / 0.650 | 464 / 1.524 | 538 / 1.608 | 684 / 1.808 | |
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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 control20-5-10-5, the five most similar instances to control20-5-10-5 according to the MIC, and the five most similar instances to control20-5-10-5 according to MIPLIB 2017.
| INSTANCE | SUBMITTER | DESCRIPTION | ISS | RANK | |
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| Parent Instance | control20-5-10-5 [MIPLIB] | Qie He | Optimal control of a discrete-time switched system model Numerically challenging. Different solvers report this instance as solved to optimality, infeasible, or unbounded. | 0.000000 | - |
| MIC Top 5 | control30-5-10-4 [MIPLIB] | Qie He | Optimal control of a discrete-time switched system model | 0.373598 | 1 |
| n13-3 [MIPLIB] | A. Atamtürk | Capacitated network design problem | 0.599995 | 2 | |
| neos-1330346 [MIPLIB] | NEOS Server Submission | Imported from the MIPLIB2010 submissions. | 0.608387 | 3 | |
| neos-4295773-pissa [MIPLIB] | Jeff Linderoth | (None provided) | 0.621900 | 4 | |
| neos-555343 [MIPLIB] | NEOS Server Submission | Imported from the MIPLIB2010 submissions. | 0.631568 | 5 | |
| MIPLIB Top 5 | control30-5-10-4 [MIPLIB] | Qie He | Optimal control of a discrete-time switched system model | 0.373598 | 1 |
| control30-3-2-3 [MIPLIB] | Qie He | Optimal control of a discrete-time switched system model | 0.649865 | 11 | |
| neos-5078479-escaut [MIPLIB] | Jeff Linderoth | (None provided) | 1.523647 | 464 | |
| neos-799711 [MIPLIB] | NEOS Server Submission | Instance coming from the NEOS Server with unknown application | 1.607899 | 538 | |
| rentacar [MIPLIB] | MIPLIB submission pool | Imported from the MIPLIB2010 submissions. | 1.808326 | 684 |
control20-5-10-5: Instance-to-Model Comparison Results
| Model Group Assignment from MIPLIB: | control |
| Assigned Model Group Rank/ISS in the MIC: | 1 / 0.729 |
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 | control | aflow | neos-pseudoapplication-2 | noip | beasley | |
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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 / 0.729 | 2 / 1.160 | 3 / 1.216 | 4 / 1.226 | 5 / 1.266 |
Model Group Summary
The table below contains summary information for the five most similar model groups to control20-5-10-5 according to the MIC.
| MODEL GROUP | SUBMITTER | DESCRIPTION | ISS | RANK | |
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| MIC Top 5 | control | Qie He | Optimal control of a discrete-time switched system model Numerically challenging. Different solvers report this model as solved to optimality, infeasible, or unbounded. | 0.729055 | 1 |
| aflow | T. Achterberg | Arborescence flow problem on a graph with 40 nodes and edge density 0.9 | 1.159947 | 2 | |
| neos-pseudoapplication-2 | NEOS Server Submission | Imported from the MIPLIB2010 submissions. | 1.215849 | 3 | |
| noip | Christopher Hojny | integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists | 1.226130 | 4 | |
| beasley | F. Ortega, L. Wolsey | Fixed cost network flow problems | 1.265698 | 5 |
