Fast algorithms to minimize the makespan or maximum lateness in the two-machine flow shop with release times
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Bibliographic record
Abstract
We consider the two-machine flow-shop problem with release times where the objective is to minimize either the makespan or the maximum lateness. We present a unified treatment of various sequence-interchange operators and derive powerful new dominance orders, which are incorporated into branch-and-bound algorithms. The dominance orders produced substantial savings in the average solution time, making the algorithms very fast. They solved, within a few seconds, more than 97 per cent of the test problems with up to 500 jobs for both objectives. For the unsolved problems, the average gap from the optimum was less than 0.5 per cent. Copyright © 2002 John Wiley & Sons, Ltd.
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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 | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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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.
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