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rocII-8-11: Instance-to-Instance Comparison Results
| Type: | Instance |
| Submitter: | Joerg Rambau |
| Description: | Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions |
| MIPLIB Entry |
Parent Instance (rocII-8-11)
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 | rocII-10-11 [MIPLIB] | rocII-5-11 [MIPLIB] | supportcase43 [MIPLIB] | ns930473 [MIPLIB] | fhnw-sq2 [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 / 0.486 | 2 / 0.583 | 3 / 1.139 | 4 / 1.257 | 5 / 1.288 | |
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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 | rocII-10-11 [MIPLIB] | rocII-5-11 [MIPLIB] | fhnw-schedule-pairb200 [MIPLIB] | net12 [MIPLIB] | app1-1 [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 model groups. A smaller ISS value indicates greater similarity.
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1 / 0.486 | 2 / 0.583 | 80 / 1.532 | 373 / 1.661 | 562 / 1.745 | |
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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 rocII-8-11, the five most similar instances to rocII-8-11 according to the MIC, and the five most similar instances to rocII-8-11 according to MIPLIB 2017.
| INSTANCE | SUBMITTER | DESCRIPTION | ISS | RANK | |
|---|---|---|---|---|---|
| Parent Instance | rocII-8-11 [MIPLIB] | Joerg Rambau | Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions | 0.000000 | - |
| MIC Top 5 | rocII-10-11 [MIPLIB] | Joerg Rambau | Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions | 0.486478 | 1 |
| rocII-5-11 [MIPLIB] | Joerg Rambau | Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions | 0.582884 | 2 | |
| supportcase43 [MIPLIB] | Domenico Salvagnin | Instance coming from IBM developerWorks forum with unknown application. | 1.138805 | 3 | |
| ns930473 [MIPLIB] | NEOS Server Submission | Instance coming from the NEOS Server with unknown application | 1.256822 | 4 | |
| fhnw-sq2 [MIPLIB] | Simon Felix | Combinatorial toy fesability problem: Magic square. Instances 1 & 2 are feasible, instance 3 is unknown. Reported to be solved after 46883 seconds with ParaSCIP using 72 cores. | 1.287618 | 5 | |
| MIPLIB Top 5 | rocII-10-11 [MIPLIB] | Joerg Rambau | Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions | 0.486478 | 1 |
| rocII-5-11 [MIPLIB] | Joerg Rambau | Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions | 0.582884 | 2 | |
| fhnw-schedule-pairb200 [MIPLIB] | Simon Felix | Continuous-time project scheduling and selection, inspired by an industry use-case. Each project has a value, the sum should be maximized. Each project has a deadline, and an earliest start date. Three formulations of the same problem ("Pair A", "Pair B" and "Slot") - we expect "Pair B" to be the best formulation. | 1.532063 | 80 | |
| net12 [MIPLIB] | P. Belotti | Network design instance | 1.661118 | 373 | |
| app1-1 [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. | 1.744522 | 562 |
rocII-8-11: Instance-to-Model Comparison Results
| Model Group Assignment from MIPLIB: | rocI |
| Assigned Model Group Rank/ISS in the MIC: | 1 / 1.911 |
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 | rocI | scp | neos-pseudoapplication-70 | fhnw-sq | neos-pseudoapplication-21 | |
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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 / 1.912 | 2 / 1.942 | 3 / 2.015 | 4 / 2.052 | 5 / 2.067 |
Model Group Summary
The table below contains summary information for the five most similar model groups to rocII-8-11 according to the MIC.
| MODEL GROUP | SUBMITTER | DESCRIPTION | ISS | RANK | |
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| MIC Top 5 | rocI | Joerg Rambau | Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions | 1.911547 | 1 |
| 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 | 1.942448 | 2 | |
| neos-pseudoapplication-70 | NEOS Server Submission | Imported from the MIPLIB2010 submissions. | 2.014864 | 3 | |
| fhnw-sq | Simon Felix | Combinatorial toy fesability problem: Magic square. Models 1 & 2 are feasible, model 3 is unknown. | 2.051960 | 4 | |
| neos-pseudoapplication-21 | NEOS Server Submission | Imported from the MIPLIB2010 submissions. | 2.066788 | 5 |
