arXiv:2410.02799cs.CYcs.LG2024-10

用数据包络分析评估肾移植分配中的公平性差异

A Data Envelopment Analysis Approach for Assessing Fairness in Resource Allocation: Application to Kidney Exchange Programs

  • 提出统一模型,从优先、获取、结果三维度衡量分配公平性
  • 发现不同族裔间肾移植效率分布存在显著差异
  • 引入新框架实现有限样本下群体条件预测区间

肾交换项目虽显著提升了移植率,但器官分配的公平性问题日益突出。本文提出一种基于数据包络分析(DEA)的新框架,统一评估分配公平性的三个维度:优先性(通过等待名单时长衡量)、可及性(基于活体捐献者特征指数LKDPI)和结果公平性(基于移植物生存期)。利用美国器官共享网络(UNOS)数据,我们分别量化了各维度的公平性表现。进一步采用带协变量调整的条件DEA模型,揭示不同族裔在肾移植分配效率上存在显著差异。为量化不确定性,创新性地结合共形预测与参考前沿映射(RFM)框架,获得具有有限样本覆盖保证的群体条件预测区间。研究结果表明,不同族裔间的效率分布存在明显差异。本工作为存在资源稀缺与相互兼容约束的复杂资源配置系统提供了严谨的公平性评估工具。

原文摘要 · Abstract (English)

Kidney exchange programs have substantially increased transplantation rates but also raise critical concerns about fairness in organ allocation. We propose a novel framework leveraging Data Envelopment Analysis (DEA) to evaluate multiple dimensions of fairness-Priority, Access, and Outcome-within a unified model. This approach captures complexities often missed in single-metric analyses. Using data from the United Network for Organ Sharing, we separately quantify fairness across these dimensions: Priority fairness through waitlist durations, Access fairness via the Living Kidney Donor Profile Index (LKDPI) scores, and Outcome fairness based on graft lifespan. We then apply our conditional DEA model with covariate adjustment to demonstrate significant disparities in kidney allocation efficiency across ethnic groups. To quantify uncertainty, we employ conformal prediction within a novel Reference Frontier Mapping (RFM) framework, yielding group-conditional prediction intervals with finite-sample coverage guarantees. Our findings show notable differences in efficiency distributions between ethnic groups. Our study provides a rigorous framework for evaluating fairness in complex resource allocation systems with resource scarcity and mutual compatibility constraints.

公平性评估肾移植数据包络分析族裔差异

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