A Mathematical Model for Integrated Green Healthcare Supply Network Design

IF 0.5 Q4 BUSINESS International Journal of Business Pub Date : 2021-01-01 DOI:10.4018/ijban.2021010104
M. Nasrollahi, M. Safaei, Nooshin Mahmoodi
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引用次数: 1

Abstract

This research presents a novel integrated mathematical programming model for green healthcare supply network design. A multi-graph integrated supply network was designed to meet real-world situations. Minimizing total cost and minimizing delivery time are considered as the objective functions. Since the considered problem is np-hard and the presented mathematical model is very complex and highly constrained, an innovative non-dominated ranked genetic algorithm (NRGA) called M-NRGA is developed to solve the real word problems. Three different selection procedures were implemented to improve the quality and diversity of solutions in the Pareto-front resulted from M-NRGA. Several numerical examples and a case study are solved to validate the model and performance evaluation of the solution algorithm. Four different performance metrics are implemented for performance evaluation of the solution algorithm. The quality of resulted solutions, the diversity of the solutions in the Pareto front are calculated for evaluation. The results are compared with two other meta-heuristic algorithms.
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综合绿色医疗供给网络设计的数学模型
本研究提出一种新的绿色医疗供给网络设计的综合数学规划模型。针对实际情况,设计了多图集成供电网络。将总成本最小化和交货时间最小化作为目标函数。由于所考虑的问题是np困难的,并且所提出的数学模型非常复杂和高度约束,因此提出了一种创新的非支配排序遗传算法(non- dominant ranking genetic algorithm, NRGA) M-NRGA来解决实际问题。实施了三种不同的选择程序,以提高M-NRGA产生的帕累托前沿解决方案的质量和多样性。通过若干数值算例和实例分析,验证了模型的正确性和求解算法的性能评价。实现了四种不同的性能指标来评估求解算法的性能。计算了结果解的质量和Pareto前沿解的多样性进行评价。结果与另外两种元启发式算法进行了比较。
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