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突发疫情下基于机会约束的应急医疗设施建设选址与公平配置优化

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针对要求迅速处置突发公共卫生事件的需求,作为有效隔离控制疫情扩散的关键举措之一,提前规划应急医疗设施选址及规模,对于快速响应、节约建设成本和社会资源具有重要意义.对此,针对需求不确定的突发疫情状况,研究应急医疗设施的建设选址以及床位规模的优化决策问题,以最小化建设选址与运营成本以及床位资源供求比差异为优化目标,建立双目标整数规划模型.根据模型特点,设计epsilon约束精确算法和基于就近原则思想的启发式算法进行求解,同时运用非支配排序遗传算法(NSGA-Ⅱ)进行对比分析.数值实验结果验证了所设计算法的运行效率.研究结论对于应急医疗设施建设选址及规模决策具有良好的应用指导价值,可为管理者决策提供一定的理论依据.
Optimization of construction site selection and fair allocation of emergency medical facilities based on chance constraint under sudden epidemic situation
To meet the needs of rapid emergency treatment of public health emergencies,as a key measure to effectively control the spread of the epidemic,planning the location and scale of emergency medical facilities in advance is of great significance,and it saves construction costs and social resources.Focusing on sudden epidemic situation with uncertain demand,this work studies the optimization decision of location selection and construction scale of emergency medical facilities.We establish a bi-objective integer programming model with the objectives of minimizing both total construction costs and the difference between the ratios of demand to supply of bed resources.According to the characteristics of the model,the exact epsilon-constraint algorithm and a heuristic algorithm based on the principle of proximity are designed to solve the problem,and the classical non-dominated sorting genetic algorithm(NSGA-Ⅱ)is used in comparative analysis.Numerical results verify the effectiveness of the proposed algorithms.The obtained conclusions can serve as valuable application guidance for the construction site selection and scale decision of the emergency medical facilities,and provide theoretical supports for managers to make operational decisions.

construction of emergency medical facilitiesbi-objective integer programmingheuristic algorithmepsilon-constraint algorithmchance constraintfair allocation

郑斐峰、陈克政、刘明

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东华大学旭日工商管理学院,上海 200051

同济大学经济与管理学院,上海 200092

应急医疗设施建设 双目标整数规划 启发式算法 epsilon约束算法 机会约束 公平配置

国家自然科学基金项目国家自然科学基金项目国家自然科学基金项目

718320017207114472271051

2024

控制与决策
东北大学

控制与决策

CSTPCD北大核心
影响因子:1.227
ISSN:1001-0920
年,卷(期):2024.39(8)