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基于捕食者—猎物模型的突发事件下供应链稳定性研究

胡卉 马海 李博 赵姣

工业工程2017,Vol.20Issue(6):39-46,8.
工业工程2017,Vol.20Issue(6):39-46,8.DOI:10.3969/j.issn.1007-7375.e17-3135

基于捕食者—猎物模型的突发事件下供应链稳定性研究

A Study of the Stability of Supply Chain with Predator-Prey Model

胡卉 1马海 1李博 1赵姣1

作者信息

  • 1. 长安大学 汽车学院,陕西 西安 710064
  • 折叠

摘要

Abstract

Stability of the supply chain has become an important research area in supply chain. To study the interactive mechanism between disruption and supply chain, a Predator-Prey Model of disruption and supply chain is built based on supply chain resilience coefficient and disruption interference coefficient, representing the two states of disruptions and supply chain. Then the equilibrium points are found and interdependent correlation of disruption and supply chain is analyzed, and the stability of supply chain under disruption simulated by Matlab. The results show that, in order to ensure the stability of the supply chain when the equilibrium point P4 is reached, the resilience coefficient of the supply chain should be σ1>1 and approaching 2, and the disturbance coefficient of the disruption should be σ2>1 and gradually approaching 1. When the equilibrium point P2 is reached, the resilience coefficient of the supply chain should be σ1>0 and approaching 2, and the disturbance coefficient of the disruption should be 0<σ2<1 and gradually approaching 0. The model is effective to formulate the interdependent correlation between disruption and the stability of supply chain. The exploration is meaningful to enrich the modeling methodology of supply chain disruption, and it is also significant to prevent and handle the disruption effectively.

关键词

突发事件/供应链/稳定性/捕食者—猎物模型

Key words

disruption/supply chain/stability/Predator-Prey Model

分类

自科综合

引用本文复制引用

胡卉,马海,李博,赵姣..基于捕食者—猎物模型的突发事件下供应链稳定性研究[J].工业工程,2017,20(6):39-46,8.

基金项目

陕西省自然科学基础研究计划资助项目(2017JM7016) (2017JM7016)

中国博士后基金资助项目(2014M552401) (2014M552401)

中央高校基本科研业务费资助项目(310822172204,31082216016) (310822172204,31082216016)

工业工程

OA北大核心CHSSCDCSTPCD

1007-7375

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