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fhnw-schedule-pairb200: Instance-to-Instance Comparison Results
| Type: | Instance |
| Submitter: | Simon Felix |
| Description: | 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. |
| MIPLIB Entry |
Parent Instance (fhnw-schedule-pairb200)
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 | fhnw-schedule-pairb400 [MIPLIB] | 8div-n59k10 [MIPLIB] | snip10x10-35r1budget17 [MIPLIB] | 8div-n59k12 [MIPLIB] | 8div-n59k11 [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 / 0.264 | 2 / 0.894 | 3 / 0.896 | 4 / 0.898 | 5 / 0.901 | |
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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 | fhnw-schedule-pairb400 [MIPLIB] | ns1828997 [MIPLIB] | neos-3283608-agout [MIPLIB] | neos-1337307 [MIPLIB] | neos-4300652-rahue [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 / 0.264 | 50 / 1.221 | 469 / 1.595 | 628 / 1.736 | 648 / 1.762 | |
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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 fhnw-schedule-pairb200, the five most similar instances to fhnw-schedule-pairb200 according to the MIC, and the five most similar instances to fhnw-schedule-pairb200 according to MIPLIB 2017.
| INSTANCE | SUBMITTER | DESCRIPTION | ISS | RANK | |
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| Parent Instance | 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. | 0.000000 | - |
| MIC Top 5 | fhnw-schedule-pairb400 [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. | 0.263725 | 1 |
| 8div-n59k10 [MIPLIB] | Sascha Kurz | Projective binary 8-divisible linear block codes A linear block code is called 8-divisible if the weights of its codewords are divisible by 8. It is called projective if there are no duplicate columns in the generator matrix. The possible lengths of 8-divisible linear block codes have been classified except for length n=59, where it is undecided whether such a linear code exists. The possible dimensions satisfy \\(10 \\le k \\le 20\\). Instance 8div_n59_kXX contains the corresponding feasibility problem. Projective binary 8-divisible linear block codes occur as hole configurations of so-called partial solid spreads in finite geometry. Binary 4-divisible linear block codes have applications in physics. | 0.893544 | 2 | |
| snip10x10-35r1budget17 [MIPLIB] | Utz-Uwe Haus | Exact MILP reformulation using binary decision diagrams to obtain scenario bundles of 2-stage stochastic expected shortest path and expected maximum flow problem with decision dependent scenario probabilities. Notes: * very few binary variables * for each fixing of the binaries a system of equations computing conditioned probabilities remains | 0.895589 | 3 | |
| 8div-n59k12 [MIPLIB] | Sascha Kurz | Projective binary 8-divisible linear block codes A linear block code is called 8-divisible if the weights of its codewords are divisible by 8. It is called projective if there are no duplicate columns in the generator matrix. The possible lengths of 8-divisible linear block codes have been classified except for length n=59, where it is undecided whether such a linear code exists. The possible dimensions satisfy \\(10 \\le k \\le 20\\). Instance 8div_n59_kXX contains the corresponding feasibility problem. Projective binary 8-divisible linear block codes occur as hole configurations of so-called partial solid spreads in finite geometry. Binary 4-divisible linear block codes have applications in physics. | 0.897811 | 4 | |
| 8div-n59k11 [MIPLIB] | Sascha Kurz | Projective binary 8-divisible linear block codes A linear block code is called 8-divisible if the weights of its codewords are divisible by 8. It is called projective if there are no duplicate columns in the generator matrix. The possible lengths of 8-divisible linear block codes have been classified except for length n=59, where it is undecided whether such a linear code exists. The possible dimensions satisfy \\(10 \\le k \\le 20\\). Instance 8div_n59_kXX contains the corresponding feasibility problem. Projective binary 8-divisible linear block codes occur as hole configurations of so-called partial solid spreads in finite geometry. Binary 4-divisible linear block codes have applications in physics. | 0.901046 | 5 | |
| MIPLIB Top 5 | fhnw-schedule-pairb400 [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. | 0.263725 | 1 |
| ns1828997 [MIPLIB] | NEOS Server Submission | Instance coming from the NEOS Server with unknown application. | 1.220603 | 50 | |
| neos-3283608-agout [MIPLIB] | Jeff Linderoth | (None provided) | 1.595456 | 469 | |
| neos-1337307 [MIPLIB] | NEOS Server Submission | Instance coming from the NEOS Server with unknown application | 1.736244 | 628 | |
| neos-4300652-rahue [MIPLIB] | Jeff Linderoth | (None provided) | 1.761964 | 648 |
fhnw-schedule-pairb200: Instance-to-Model Comparison Results
| Model Group Assignment from MIPLIB: | schedule |
| Assigned Model Group Rank/ISS in the MIC: | 4 / 1.541 |
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 | 8div | neos-pseudoapplication-74 | neos-pseudoapplication-95 | schedule | stein | |
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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 / 1.298 | 2 / 1.444 | 3 / 1.483 | 4 / 1.542 | 5 / 1.644 |
Model Group Summary
The table below contains summary information for the five most similar model groups to fhnw-schedule-pairb200 according to the MIC.
| MODEL GROUP | SUBMITTER | DESCRIPTION | ISS | RANK | |
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| MIC Top 5 | 8div | Sascha Kurz | Projective binary 8-divisible linear block codes A linear block code is called 8-divisible if the weights of its codewords are divisible by 8. It is called projective if there are no duplicate columns in the generator matrix. The possible lengths of 8-divisible linear block codes have been classified except for length n=59, where it is undecided whether such a linear code exists. The possible dimensions satisfy \\(10 \\le k \\le 20\\). Model 8div_n59_kXX contains the corresponding feasibility problem. Projective binary 8-divisible linear block codes occur as hole configurations of so-called partial solid spreads in finite geometry. Binary 4-divisible linear block codes have applications in physics. | 1.297913 | 1 |
| neos-pseudoapplication-74 | Jeff Linderoth | (None provided) | 1.444297 | 2 | |
| neos-pseudoapplication-95 | NEOS Server Submission | Imported from the MIPLIB2010 submissions. | 1.483198 | 3 | |
| schedule | 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. | 1.541643 | 4 | |
| stein | MIPLIB submission pool | Imported from the MIPLIB2010 submissions. | 1.643789 | 5 |
