Integer Programming Models for ï¬nding Optimal Part-Machine Families
Why this work is in the frame
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Bibliographic record
Abstract
In this thesis, we develop integer programming models which ï¬nd the optimal part-machine family solutions, that disaggregate a factory process at the lowest cost. The groupings created using the methods presented in this thesis can then act as the basis for the application of Group Technology, which include machine placement, job scheduling, and part routing. Four exact 0â1 Linear Programming techniques are developed and presented. The ï¬rst 0 â 1 Linear Programming technique only focuses on part subcontracting as a means to disaggregate, and the second only focuses on machine duplication to disaggregate. The ï¬nal two methods both yield part-machine family disaggregation through simultaneous part subcontracting and machine duplication. Once these methods are applied to example problems, the results provide the exact solutions, which have not been found in previous work.
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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 | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| 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