考虑临时服务能力的医疗检查预约能力分配模型

针对医疗检查预约能力分配问题，考虑将处于空闲状态下的急诊检查作为临时服务加入常规检查中，二者一起为预约和未预约的常规患者服务.以医院的期望收益最大为目标，建立医疗检查预约能力分配模型，并对该模型结构性质进行分析，证明了存在使服务当天期望收益最大的最优预约限额，进而给出求解最优预约限额满足的条件.通过大量数值实验分析了不同参数对医疗检查能力分配方案的影响，结果表明到达医院的未预约患者数量和临时服务能力对分配方案有较大影响.

Appointment Capacity Allocation Model of Medical Examination Considering Adding the Temporary Service Capacity

In view of the allocation of medical examination appointment capacity， it is considered that emergency examinations that are in an idle state are added to routine examinations as temporary services， and the two together serve regular patients with appointments and walk-in patiets. With the goal of maximizing the expected return of the hospital， a medical examination appointment capacity allocation model is established， and the structure property of this model is analyzed to prove that there is an optimal appointment limit that maximizes the expected return on the day of service， and the conditions for solving the optimal appointment limit are given. Through a large number of numerical experiments， the influence of different parameters on the allocation scheme of medical examination capacity is analyzed. The results show that the number of arriving walk-in patients and temporary service ability have a greater influence on the allocation scheme.