具有容量约束的多周期手术调度:一种数学建模方法

W. Wisittipanich, C. Boonmee, K. Khwanngern, W. Chattinnawat
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引用次数: 0

摘要

本文提出了在特定时间范围内具有容量约束的多周期手术调度问题的数学模型。目标是安排必须在不同合格医院接受各种手术的患者名单。特别是,每次手术都必须在特定的时间段内进行,并且同一患者的不同手术可以由不同的合格医院进行。此外,每家医院在每个时期的手术能力有限。利用最大完工时间最小化和总最小偏好分配分数最小化两个目标的加权和方法,建立了多目标模型。根据实际的唇腭裂患者的治疗情况,利用模拟数据进行实验。结果表明,该模型在考虑所有约束条件的情况下,给出了正确的分配和操作顺序。因此,该数学模型可进一步作为医院网络手术调度的智能决策工具。
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The Multi-Period Surgical Scheduling with Capacity Constraint: A Mathematical Modelling Approach
This research proposes a mathematical model for multi-period surgical scheduling problem with capacity constraint over a particular time horizon. The goal is to schedule a list of patients who must undergo various kinds of operations by different eligible hospitals. In particular, each operation must be performed in a particular time period and different operations of one patient can be performed by different eligible hospitals. In addition, each hospital has limited surgery capacity for each time period. The problem is formulated with a multi-objective model using the weighted sum approach of two objectives: minimization of makespan and minimization of total least preference assignment score. The experiment is executed using the simulated data according to the real treatments of cleft lip and palate patients. The results show that the model yield the correct assignment and operation sequence respected to all constraints. Thus, this proposed mathematical model can be further used as smart decision tool in surgical scheduling in hospital network.
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