A Two-Objective Model for the Multilevel Supply Chain of Blood Products with the Approach of Reducing the Rate of Contagion under the (COVID-19) Epidemic Outbreak Conditions

IF 1.3 4区 数学 Q1 MATHEMATICS
Abolfazl Moghimi Esfandabadi, Davood Shishebori, Mohammad-Bagher Fakhrzad, Hassan Khademi Zare
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Abstract

The conditions of the coronavirus epidemic have put much pressure on the healthcare system. This disease has hurt the blood supply through the reduction of blood donation and the reduction of access to suitable collection facilities due to dysfunction. Considering the importance of the subject, the purpose of this paper is to design a two-level supply chain network for blood products with the approach of reducing costs and the rate of contagion under the conditions of epidemic outbreaks (COVID-19). After examining the solution methods for multilevel supply chain networks of blood products under the conditions of the spread of the COVID-19 virus, three exact solution methods, including LP-metric, an improved version of the augmented ε-constraint (AUGMECON2), and an improved weighted Chebyshev, are proposed. They are used to solve the model in small dimensions. In order to compare the methods in the obtained solutions, several numerical examples of different sizes are generated and solved. Then, using the statistical assumption test, the obtained results are compared in all numerical examples by Tukey’s technique. Also, the TOPSIS is applied to select the best method. Finally, in order to investigate the reaction of the objectives to the changes in the contagion probability parameter, a sensitivity analysis has been performed. The results emphasize that improving the performance of the blood supply chain (BSC) can lead to a reduction in BSC costs and improved service to patients. Also, the adaptation of different components of the BSC and regular coordination between them play an efficient role in controlling and improving this disease and reducing the costs of the BSC. Also, receiving the plasma product of recovered people from type (II) donors can play a vital role in reducing the percentage of disease transmission.
以降低(COVID-19)疫情爆发条件下传染率为目标的血液制品多级供应链双目标模型
冠状病毒疫情给医疗系统带来了巨大压力。由于功能障碍,献血量减少,合适的采血设施减少,血液供应因此受到损害。考虑到这一问题的重要性,本文的目的是设计一个两级血液制品供应链网络,以降低疫情爆发条件下的成本和传染率(COVID-19)。在研究了 COVID-19 病毒传播条件下血液制品多级供应链网络的求解方法后,提出了三种精确求解方法,包括 LP-度量法、改进版增强ε-约束法(AUGMECON2)和改进的加权切比雪夫法。它们用于求解小维度模型。为了比较这些方法的求解结果,生成并求解了几个不同尺寸的数值示例。然后,利用统计假设检验,通过 Tukey's 技术对所有数值示例中获得的结果进行比较。同时,应用 TOPSIS 方法选择最佳方法。最后,为了研究目标对传染概率参数变化的反应,进行了敏感性分析。结果表明,提高血液供应链(BSC)的绩效可以降低 BSC 成本,改善对患者的服务。此外,BSC 不同组成部分的适应性和它们之间的定期协调在控制和改善这种疾病以及降低 BSC 成本方面发挥着有效作用。此外,从(II)型捐献者那里接收康复者的血浆产品,在降低疾病传播比例方面也能发挥重要作用。
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来源期刊
Journal of Mathematics
Journal of Mathematics Mathematics-General Mathematics
CiteScore
2.50
自引率
14.30%
发文量
0
期刊介绍: Journal of Mathematics is a broad scope journal that publishes original research articles as well as review articles on all aspects of both pure and applied mathematics. As well as original research, Journal of Mathematics also publishes focused review articles that assess the state of the art, and identify upcoming challenges and promising solutions for the community.
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