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highschool1-aigio: Instance-to-Instance Comparison Results
| Type: | Instance |
| Submitter: | George Fonseca |
| Description: | Educational timetabling problems from several real schools/universities around the world. These instances were originally expressed in the xhstt file format [1] and formulated as Integer Programming models as described at [2]. |
| MIPLIB Entry |
Parent Instance (highschool1-aigio)
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 | qnet1_o [MIPLIB] | ger50_17_trans [MIPLIB] | ger50-17-trans-dfn-3t [MIPLIB] | osorio-cta [MIPLIB] | eva1aprime6x6opt [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 / 1.310 | 2 / 1.374 | 3 / 1.382 | 4 / 1.387 | 5 / 1.425 | |
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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 | kosova1 [MIPLIB] | triptim2 [MIPLIB] | triptim1 [MIPLIB] | triptim4 [MIPLIB] | kosova1** [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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510 / 1.921 | 884 / 2.290 | 888 / 2.314 | 891 / 2.329 | N.A.** / N.A.** | |
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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 highschool1-aigio, the five most similar instances to highschool1-aigio according to the MIC, and the five most similar instances to highschool1-aigio according to MIPLIB 2017.
| INSTANCE | SUBMITTER | DESCRIPTION | ISS | RANK | |
|---|---|---|---|---|---|
| Parent Instance | highschool1-aigio [MIPLIB] | George Fonseca | Educational timetabling problems from several real schools/universities around the world. These instances were originally expressed in the xhstt file format [1] and formulated as Integer Programming models as described at [2]. | 0.000000 | - |
| MIC Top 5 | qnet1_o [MIPLIB] | MIPLIB submission pool | Imported from the MIPLIB2010 submissions. | 1.310345 | 1 |
| ger50_17_trans [MIPLIB] | C. Raack | Multi-layer network design problem using a link-flow formulation over a path-flow formulation. | 1.373639 | 2 | |
| ger50-17-trans-dfn-3t [MIPLIB] | C. Raack | Multi-layer network design problem using a link-flow formulation over a path-flow formulation. | 1.382279 | 3 | |
| osorio-cta [MIPLIB] | Jordi Castro | Set of MILP instances of the CTA (Controlled Tabular Adjustment) problem, a method to protect statistical tabular data, belonging to the field of SDC (Statistical Disclosure Control). Raw data of instances are real or pseudo-real, provided by several National Statistical Agencies. We generated the CTA problem for these data. | 1.386658 | 4 | |
| eva1aprime6x6opt [MIPLIB] | Yoshihiro Kanno | MILP approach to generate structures with negative thermal expansion coefficients | 1.424890 | 5 | |
| MIPLIB Top 5 | kosova1 [MIPLIB] | George Fonseca | Educational timetabling problems from several real schools/universities around the world. These instances were originally expressed in the xhstt file format [1] and formulated as Integer Programming models as described at [2]. | 1.920516 | 510 |
| triptim2 [MIPLIB] | MIPLIB submission pool | Imported from the MIPLIB2010 submissions. | 2.290132 | 884 | |
| triptim1 [MIPLIB] | MIPLIB submission pool | Imported from the MIPLIB2010 submissions. | 2.313620 | 888 | |
| triptim4 [MIPLIB] | MIPLIB submission pool | Imported from the MIPLIB2010 submissions. | 2.329405 | 891 | |
| kosova1** [MIPLIB] | George Fonseca | Educational timetabling problems from several real schools/universities around the world. These instances were originally expressed in the xhstt file format [1] and formulated as Integer Programming models as described at [2]. | N.A.** | N.A.** |
highschool1-aigio: Instance-to-Model Comparison Results
| Model Group Assignment from MIPLIB: | timetabling |
| Assigned Model Group Rank/ISS in the MIC: | 58 / 2.295 |
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 | scp | markshare | neos-pseudoapplication-21 | stein | timtab | |
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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 / 1.694 | 2 / 1.815 | 3 / 1.823 | 4 / 1.826 | 5 / 1.857 |
Model Group Summary
The table below contains summary information for the five most similar model groups to highschool1-aigio according to the MIC.
| MODEL GROUP | SUBMITTER | DESCRIPTION | ISS | RANK | |
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| MIC Top 5 | 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 | 1.694114 | 1 |
| markshare | G. Cornuéjols, M. Dawande | Market sharing problem | 1.814778 | 2 | |
| neos-pseudoapplication-21 | NEOS Server Submission | Imported from the MIPLIB2010 submissions. | 1.822932 | 3 | |
| stein | MIPLIB submission pool | Imported from the MIPLIB2010 submissions. | 1.825746 | 4 | |
| timtab | C. Liebchen, R. Möhring | Public transport scheduling problem | 1.857399 | 5 |
