Solution of a 200-Node p-Cycle Network Design Problem with GA-Based Pre-Selection of Candidate Structures
Why this work is in the frame
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Bibliographic record
Abstract
As a research challenge we have sought to create and solve p-cycle network design problems involving 200 or more nodes. At such problems sizes, the space of all simple cycle structures on the network graph cannot even be known in practice, let alone put into a conventional ILP problem instance. The approach being taken is a combination of GA methods with ILP; GA is guided by a subsidiary ILP surrogate problem to preselect a set of collectively high merit candidate cycles to populate a size-reduced final fully detailed ILP. Feasible solutions of high quality have been obtained for an initial 200- node test case. Comparison of the result by other workers is invited.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it