A dynamic supply chain network for PPE during the COVID-19 pandemic

被引:0
作者
Daniele P. [1 ]
Sciacca D. [1 ]
机构
[1] Department of Mathematics and Computer Science, University of Catania, Catania
来源
Journal of Applied and Numerical Optimization | 2021年 / 3卷 / 02期
关键词
COVID-19; Dynamic supply chain network; Evolutionary variational inequalities; Minimization problem;
D O I
10.23952/jano.3.2021.2.09
中图分类号
学科分类号
摘要
In this paper, we present an optimization model consisting of a dynamic supply chain network related to Personal Protective Equipment (PPE). We suppose that the variables in the model, namely flows on arcs and additional capacities on arcs, depend both on time and on a delay function. The aim of the firm is to find the optimal flows and the optimal additional capacities on arcs to satisfy the huge and immediate increasing request in the demand markets due to the spread of the COVID-19 disease, minimizing, simultaneously, its total costs. We obtain a minimization problem and the related “retarded” evolutionary variational inequality (rEVI). We introduce the associated infinite-dimensional projected dynamical system to obtain a computational procedure to find the optimal solution to the rEVI associated with our minimization problem and, finally, we propose some numerical examples based on real scenarios. © 2021 Journal of Applied and Numerical Optimization
引用
收藏
页码:403 / 424
页数:21
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