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sorrell7: Instance-to-Instance Comparison Results
| Type: | Instance |
| Submitter: | Toni Sorrell |
| Description: | These instances are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. |
| MIPLIB Entry |
Parent Instance (sorrell7)
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 | t1722 [MIPLIB] | ex10 [MIPLIB] | sorrell3 [MIPLIB] | t1717 [MIPLIB] | ex9 [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 / 0.714 | 2 / 0.723 | 3 / 0.728 | 4 / 0.829 | 5 / 0.869 | |
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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 | sorrell3 [MIPLIB] | sorrell4 [MIPLIB] | z26 [MIPLIB] | manna81 [MIPLIB] | sorrell8 [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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3 / 0.728 | 23 / 1.411 | 54 / 2.074 | 249 / 3.335 | 434 / 3.692 | |
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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 sorrell7, the five most similar instances to sorrell7 according to the MIC, and the five most similar instances to sorrell7 according to MIPLIB 2017.
| INSTANCE | SUBMITTER | DESCRIPTION | ISS | RANK | |
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| Parent Instance | sorrell7 [MIPLIB] | Toni Sorrell | These instances are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. | 0.000000 | - |
| MIC Top 5 | t1722 [MIPLIB] | R. Borndörfer | Vehicle scheduling set partitioning problem from Berlin's Telebus handicapped people's transportation system | 0.713561 | 1 |
| ex10 [MIPLIB] | Iulian Ober | Formulations of Boolean SAT instance | 0.723175 | 2 | |
| sorrell3 [MIPLIB] | Toni Sorrell | These instances are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. | 0.727599 | 3 | |
| t1717 [MIPLIB] | R. Borndörfer | Vehicle scheduling set partitioning problem from Berlin's Telebus handicapped people's transportation system | 0.829031 | 4 | |
| ex9 [MIPLIB] | Iulian Ober | Formulations of Boolean SAT instance | 0.868886 | 5 | |
| MIPLIB Top 5 | sorrell3 [MIPLIB] | Toni Sorrell | These instances are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. | 0.727599 | 3 |
| sorrell4 [MIPLIB] | Toni Sorrell | These instances are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. | 1.410523 | 23 | |
| z26 [MIPLIB] | Daniel Bienstock | Set packing problem arising from the ongoing "Frequency Spectrum Auction" in the U.S. Work is collaboration with Ion Media Networks, Inc. | 2.073769 | 54 | |
| manna81 [MIPLIB] | MIPLIB submission pool | Imported from the MIPLIB2010 submissions. | 3.334563 | 249 | |
| sorrell8 [MIPLIB] | Toni Sorrell | These instances are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. | 3.692276 | 434 |
sorrell7: Instance-to-Model Comparison Results
| Model Group Assignment from MIPLIB: | independentset |
| Assigned Model Group Rank/ISS in the MIC: | 61 / 3.419 |
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 | core | neos-pseudoapplication-110 | neos-pseudoapplication-100 | eil | ivu | |
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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 / 0.712 | 2 / 0.943 | 3 / 0.973 | 4 / 1.060 | 5 / 1.272 |
Model Group Summary
The table below contains summary information for the five most similar model groups to sorrell7 according to the MIC.
| MODEL GROUP | SUBMITTER | DESCRIPTION | ISS | RANK | |
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| MIC Top 5 | core | A. Caprara, M. Fischetti, P. Toth | Set covering model coming from Italian railway models | 0.711645 | 1 |
| neos-pseudoapplication-110 | Jeff Linderoth | (None provided) | 0.942714 | 2 | |
| neos-pseudoapplication-100 | NEOS Server Submission | Model coming from the NEOS Server with unknown application | 0.972656 | 3 | |
| eil | J. Linderoth | Set partitioning problem approximation for capicated vehicle routing problem model from TSPLIB | 1.059977 | 4 | |
| ivu | S. Weider | Set partitioning model resulting from a column generation algorithm used for duty scheduling in public transportation. Solved in June 2014 using CPLEX 12.6 with 48 threads in about 25 days. | 1.271564 | 5 |
