摘要
为了科学有效地利用护士资源,提高护士的工作满意度,本文对护士联合调度问题进行了研究,分析了护士配置、排班和分配三个决策阶段和其相互影响关系,并在优化医疗机构配置护士成本的经济目标的同时,实现护士的均衡工作量和合理工作时长的非经济目标,有利于提升护士的工作满意度,降低护士的离职率。本文进一步构建了非线性整数规划模型来对研究问题进行解析,并针对模型的层次化特点,设计了基于Logic Benders割的Benders分解算法来进行求解。此外,本文设计了两种加速策略,进一步降低了问题的求解难度和规模,极大地提高了算法的求解效率。实验结果显示,考虑工作量均衡指标,不仅没有增加额外的人力成本,反而大幅度提升了护士之间工作量分配的均衡性,改善了工作的公平性。实验也验证了基于加速策略的Logic Benders算法的可行性和有效性,为护士联合调度优化问题提供了高效的求解手段和决策支持。
To utilize the limited number of nurses effectively and improve the job satisfaction of nurses,the integrated nurse scheduling problem is studied considering workload balance.A mixed integer fractional programming model is first developed to design an integrated nursing staffing,scheduling,and assignment plan for minimizing the number of employed nurses under the balanced workload of nurses and the limited working time.An Accelerated Logic Benders exact decomposition algorithm is designed to solve this model.Specifically,based on the hierarchical characteristics of the developed model,the Benders algorithm framework is utilized to decompose the original problem into one master problem and multiple sub-problems,which effectively eliminates the nonlinearity.Two acceleration strategies called ESMP enhancement strategy and Accelerated Logic Benders cut strategy,are proposed to improve the solution efficiency.The experimental results show that considering the workload balance does not incur extra labor costs and makes the workload of nurses more balanced.The ESMP enhancement strategy and the Accelerated Logic Benders decomposition algorithm are feasible and effective.Finally,some important management implications of the workload balance strategy are provided for nursing institutions.To sum up,the proposed model and algorithm provide powerful decision-supporting tools for nursing institutions to make integrated nurse scheduling decisions,which can effectively reduce their employment cost and improve the job satisfaction of nurses.
作者
张玲玲
王明征
ZHANG Ling-ling;WANG Ming-zheng(School of Economics and Management,Dalian University of Technology,Dalian 116024,China;School of Management,Zhejiang University,Hangzhou 310058,China)
出处
《中国管理科学》
CSCD
北大核心
2023年第3期177-185,共9页
Chinese Journal of Management Science
基金
国家自然科学基金资助重点项目(71931009)。
