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Optimization methods for joint capacity and appointment scheduling problem with walk-in patients

机译：步入患者联合能力和预约调度问题的优化方法

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摘要

This paper develops the joint capacity and appointment scheduling model considering both no-show and walk-in patients with the objective of minimizing the total revenue of all patients minus the cost incurred by patients' waiting, physician's idleness and overtime. Under the assumption of deterministic service time and monotonic non-decreasing convex function of waiting and overtime cost, the objective is proved as multimodular function, based on which an exact algorithm converging to the optimal schedule is proposed. Numerical experiments indicate that all the optimal solution will overbook the first interval, and the percentage of overbooked intervals, objective, idleness, tardiness and waiting time of the patients are all very sensitive to the no-show and walk-in probability.
机译：本文介绍了关节能力和预约调度模型，考虑到尚未显示​​和步行患者，目的是最大限度地减少所有患者的总收入减去患者等待，医生的闲散和加班所产生的费用。在确定性的服务时间和单调非降低凸起的等待和加班成本的情况下，该目的被证明为多模函数，基于该多模函数，基于该多模函数，提出了对最佳时间表的精确算法。数值实验表明，所有最佳解决方案都将重写第一个间隔，并且患者的超标间隔，目标，闲置，迟到和等待时间的百分比对No-Show和行走概率非常敏感。

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