多等级医疗检查实时调度优化模型与策略分析  

Optimization Model and Strategy Analysis for Real-time Scheduling of Multi-level Medical Examinations

作　　者：夏跃华[1] 李跃武[1] XIA Yuehua;LI Yuewu(School of Mathematical Sciences,Gansu Minzu Normal University,Hezuo Gansu 747000)

机构地区：[1]甘肃民族师范学院数学科学学院,甘肃合作747000

出　　处：《甘肃高师学报》2024年第5期38-43,共6页Journal of Gansu Normal Colleges

基　　金：甘肃省高等学校创新基金项目“多等级医疗检查实时调度策略研究”(2024B-185)。

摘　　要：文章运用随机动态规划方法建立了离散型的马尔可夫决策模型,对设备分等级情况下的医疗检查实时调度问题进行研究.实时调度的病人需求是在服务日当天按照释放时间实时到达的,由于病人所需的服务时间不确定,导致了实时调度过程中设备产能和病人需求双重不确定,运用泊松概率分布函数可以计算出设备在单位时间内服务完成一个病人的概率.文章以病人总的等待时间最短、设备总的收益最大为目标,建立了随机动态规划模型,分析了模型的结构性质,确定了医疗检查实时调度的最优策略.通过研究发现,进行实时调度优化时,应充分考虑设备产能和病人需求的双重不确定,通过引导和调度来转移或增加需求.This article establishes a discrete Markov decision model using stochastic dynamic programming method to study the real-time scheduling problem of medical examinations under equipment classification.The patient demand for real-time scheduling arrives in real-time on the day of service according to the release time.Due to the uncertainty of the service time required by the patient,the production capacity of the equipment and the patient's demand are both uncertain during the real-time scheduling process.The Poisson probability distribution function can be used to calculate the probability of the equipment completing the service of a patient per unit time.The article aims to minimize the total waiting time of patients and maximize the total benefit of equipment,establishes a stochastic dynamic programming model,analyzes the structural properties of the model,and determines the optimal strategy for real-time scheduling of medical examinations.Through research,it has been found that real-time scheduling optimization should fully consider the dual uncertainties of equipment capacity and patient demands,and transfer or increase demand through guidance and scheduling.

关 键 词：马尔可夫过程 随机动态规划 泊松分布 

分 类 号：C934[经济管理—管理学] O221.5[理学—运筹学与控制论]