A Fluid Model for One-Sided Bipartite Matching Queues with Match-Dependent Rewards
Bibliographic record
Abstract
When allocating scarce resources such as organs or public housing units, the policy maker needs to carefully balance two conflicting objectives: maximizing the reward from matching and minimizing inequity across different types of candidates. We consider an implementable class of policies that ranks the candidates by the sum of their waiting score and matching score. Similar policies had been proposed for allocating deceased-donor kidneys to patients on the transplant waitlist. This article provides a modeling framework to characterize the waitlist system under this type of ranking policy. This framework allows the policy maker to predict and compare the allocation outcome under different ranking policies. When the efficiency and fairness measurements take certain forms, we derive a closed-form scoring formula that optimizes the outcome of the system in the long run.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.003 | 0.008 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.002 | 0.001 |
| Bibliometrics | 0.001 | 0.002 |
| Science and technology studies | 0.002 | 0.003 |
| Scholarly communication | 0.004 | 0.003 |
| Open science | 0.004 | 0.002 |
| Research integrity | 0.004 | 0.003 |
| Insufficient payload (model declined to judge) | 0.011 | 0.001 |
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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".