Abstract: For recent years, with the process of population aging continuing to accelerate, the community home care has attracted more and more attention from all walks of life. In order to provide decision-making support for the scheduling of nursing staff in community home care service center, the research has carried out scheduling nursing staff considering the elderly perception satisfaction. Taking the community home care appointment service as the background, firstly we integrate prospect theory and fuzzy theory to establish the elderly perception satisfaction function from the three aspects: the elderly's waiting time, the elderly's preference for nursing staff, and the elderly's preference for service prices. Then, the main goal to determining the optimization scheduling problem is to maximize the elderly comprehensive perception satisfaction, and the secondary one is to minimize the operating costs of community home care service centers, and the corresponding mixed integer nonlinear programming mathematical model is constructed. Finally, a comprehensive application of genetic algorithm and plant growth simulation algorithm (PGSA) is used to solve the model, and genetic algorithm is for the servicesequence of nursing staff, PGSA for the nursing staff scheduling scheme, and MATLAB software for simulation. At the same time, the particle swarm optimization is introduced for comparison with PGSA, and it is found that PGSA has obvious advantages in performance parameters and calculation time. Through the verification and analysis of numerical example, the results show that the model can obtain the optimal nursing staff scheduling scheme based on the elderly perception satisfaction, which proves the feasibility and effectiveness of the above optimization model and algorithm.

Key words: the elderly perception satisfaction, community home care, nursing staff scheduling, prospect theory, plant growth simulation algorithm

摘要： 近年来,随着人口老龄化进程不断加快,社区居家养老模式越来越受到社会各界的高度关注。为了向社区居家养老服务中心护理人员调度提供决策支持,研究考虑老年人感知满意度的护理人员调度问题。以社区居家养老预约服务为背景,首先融合前景理论和模糊理论分别从老年人等待时间、老年人对护理人员偏好和老年人对服务价格偏好三个方面建立老年人感知满意度函数;其次确定主要目标为最大化老年人综合感知满意度,次要目标为最小化社区居家养老服务中心运营成本的优化调度问题,并且构建了相应的混合整数非线性规划数学模型;最后综合应用遗传算法和模拟植物生长算法(PGSA)对该模型进行求解,其中遗传算法用于求解护理人员的服务顺序,PGSA用于求解护理人员调度方案,并且利用MATLAB软件进行仿真,同时引入粒子群算法与PGSA进行计算对比,发现PGSA在性能参数和计算时间方面都有明显的优势。通过算例验证分析,结果表明该模型在考虑老年人感知满意度的基础上,能够获得最优的护理人员调度方案,证明了上述优化模型和算法的可行性和有效性。

关键词: 老年人感知满意度, 社区居家养老, 护理人员调度, 前景理论, 模拟植物生长算法