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《Industrial Engineering Journal》 2017-06
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A Study of the Stability of Supply Chain with Predator-Prey Model

HU Hui;MA Hai;LI Bo;ZHAO Jiao;School of Automobile, Chang'an University;  
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 P_4 is reached, the resilience coefficient of the supply chain should be σ_11 and approaching 2, and the disturbance coefficient of the disruption should be σ_21 and gradually approaching 1. When the equilibrium point P_2 is reached, the resilience coefficient of the supply chain should be σ_10 and approaching 2, and the disturbance coefficient of the disruption should be 0σ_21 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.
【Fund】: 陕西省自然科学基础研究计划资助项目(2017JM7016);; 中国博士后基金资助项目(2014M552401);; 中央高校基本科研业务费资助项目(310822172204 31082216016)
【CateGory Index】: F274
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