基于改进的NSGA2算法考虑病患公平性及医院运作成本的病床配置优化研究

针对目前医院病床调度存在运营成本较大以及医患关系之间公平性的问题，提出一个考虑医院运作成本和病患公平性下单科室病床分配的多目标随机规划模型。首先，根据基于医院的相关政策，提出一个考虑响应性与准入性的权重测度指标来反映医患关系的公平性，并考虑医院的运作成本建立多目标随机规划模型；其次，为方便算法求解，引入线性化方法将复杂模型处理成混合整数线性模型；最后，采用改进后的NSGA2算法对多目标问题求解，并对算例进行不同的数值实验。通过调整不同的参数进行相对应的灵敏度分析，改进后的算法提升了算法的收敛性与多样性，实验结果验证了模型的有效性和适用性。

Bed allocation based on improved NSGA2 considering patient equity and hospital costs

To address the problems of large operating costs and fairness between doctors and patients in the current hospital bed scheduling, this paper proposed a multi-objective stochastic programming model for single department bed allocation considering hospital operating costs and patient fairness. Firstly, this paper proposed a weighted measure of responsiveness and access to reflect the fairness of the doctor-patient relationship based on relevant hospital-based policies, and established a multi-objective stochastic programming model considering the operational cost of the hospital. Secondly, to facilitate the algorithm solution, it introduced a linearization method to process the complex model into a mixed integer linear model. Finally, the improved NSGA2 algorithm solved the multi-objective problem, enhanced the convergence and diversity of the algorithm. The experimental results verify the validity and applicability of the model by adjusting different parameters for different numerical experiments.