动态评估组织多维度效率,融合正负产出并提升判别力。
Endogenous Aggregation of Multiple Data Envelopment Analysis Scores for Large Data Sets
- 用正则化模型同时计算各维度与整体效率得分
- 在12家医院24个月数据中表现优于传统方法
- 适合大规模数据,可分析技术、临床与患者体验
我们提出一种基于数据包络分析(DEA)的动态效率评估方法,用于多维组织效能分析。该方法生成维度特定和整体效率得分,同时处理理想与非理想产出,适用于大规模问题。引入两种正则化模型:基于松弛度的度量(SBM)和线性化非线性目标规划模型(GP-SBM)。SBM先估算整体效率再分配至各维度;GP-SBM则先估计维度效率,再合成整体得分。两者均使用正则化参数增强判别力,并直接整合理想与非理想产出。我们在多个数据集上验证了方法的计算效率与有效性,并应用于加拿大安大略省12家医院的案例研究,评估2018年1月至2019年12月期间的技术效率、临床效率与患者体验三个理论维度。数值结果显示,SBM与GP-SBM更能捕捉输入输出变量间的相关性,优于先分别评估后聚合的传统基准方法。
原文摘要 · Abstract (English)
We propose an approach for dynamic efficiency evaluation across multiple organizational dimensions using data envelopment analysis (DEA). The method generates both dimension-specific and aggregate efficiency scores, incorporates desirable and undesirable outputs, and is suitable for large-scale problem settings. Two regularized DEA models are introduced: a slack-based measure (SBM) and a linearized version of a nonlinear goal programming model (GP-SBM). While SBM estimates an aggregate efficiency score and then distributes it across dimensions, GP-SBM first estimates dimension-level efficiencies and then derives an aggregate score. Both models utilize a regularization parameter to enhance discriminatory power while also directly integrating both desirable and undesirable outputs. We demonstrate the computational efficiency and validity of our approach on multiple datasets and apply it to a case study of twelve hospitals in Ontario, Canada, evaluating three theoretically grounded dimensions of organizational effectiveness over a 24-month period from January 2018 to December 2019: technical efficiency, clinical efficiency, and patient experience. Our numerical results show that SBM and GP-SBM better capture correlations among input/output variables and outperform conventional benchmarking methods that separately evaluate dimensions before aggregation.
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