A Survey of the Generalized Assignment Problem and Its Applications
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Bibliographic record
Abstract
AbstractGiven n items and m knapsacks, the Generalized Assignment Problem (GAP) is to find the optimum assignment of each item to exactly one knapsack, without exceeding the capacity of any knapsack. This problem can also be described as the optimal assignment of n jobs to m capacitated agents. During the last three decades, many papers have been published on the GAP. In this survey we mainly concentrate on its real-life applications in scheduling, timetabling, telecommunication, facility location, transportation, production planning, etc. We also mention some of the most recent solution approaches: from state-of-the-art metaheuristics to variable neighborhood search algorithms and from exact solution procedures to simple heuristic algorithms.Keywords: Applicationsknapsackgeneralized assignment problem
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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 | 0.001 | 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