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基于特征的稳健手术排程

Feature‐driven robust surgery scheduling

Production and Operations Management · 2023
被引 24
人大 AFT50UTD24ABS 4

中文导读

利用患者特征(如性别、年龄)通过机器学习分类,构建基于特征的模糊集,提出自适应稳健优化模型最小化加班风险指数,并开发分支切割算法求解,帮助医院更准确安排手术时间。

Abstract

Patient features such as gender, age, and underlying disease are crucial to improving the model fidelity of surgery duration. In this paper, we study a robust surgery scheduling problem augmented by patient feature segmentation. We focus on the surgery‐to‐operating room allocations for elective patients and future emergencies. Using feature data, we classify patients into different types using machine learning methods and characterize the uncertain surgery duration via a feature‐based cluster‐wise ambiguity set. We propose a feature‐driven adaptive robust optimization model that minimizes an overtime riskiness index, which helps mitigate both the magnitude and probability of working overtime. The model can be reformulated as a second‐order conic programming problem. From the reformulation, we find that minimizing the overtime riskiness index is equivalent to minimizing a Fano factor. This makes our robust optimization model easily interpretable to healthcare practitioners. To efficiently solve the problem, we develop a branch‐and‐cut algorithm and introduce symmetry‐breaking constraints. Numerical experiments demonstrate that our model outperforms benchmark models in a variety of performance metrics.

运筹学医疗运营管理机器学习手术排程