Abstract:

Supply chain system is usually easily affected by many uncertain factors. Synchronization strategy is an effective way to reduce the negative impact of uncertainty， the existing researches mainly use continuous synchronization strategy， but it is difficult to implement， and the discrete synchronization strategy is more practical. In this paper， a supply chain system composed of a manufacturer， a distributor and a retailer is constructed by considering the influence of the combined effect on the quantities of distribution and production， this supply chain system is very sensitive to uncertain factors and has the characteristics of chaos， small changes in production， distribution and consumption will lead to great changes in the supply chain system over time； by using Lyapunov stability theory and matrix inequality， the discrete impulsive synchronization strategy of the supply chain system is obtained； Furthermore， the chaotic supply chain system with uncertain parameters and input disturbance is constructed， and the corresponding impulsive synchronization strategy is given； Finally， taking China’s corn supply chain system as an example， the production， distribution and consumption of corn are controlled by using temporary storage purchase policy， batch ordering and promotion activities respectively， and the effectiveness of impulse synchronization strategy is verified. The relevant parameters are estimated and calculated by nonlinear curve fitting based on corn production， distribution and consumption in China from 2007 to 2018. These data can be found in the U.S. Department of agriculture’s world agricultural supply and demand estimates. The results show that： （1） reasonable impulse intensity and time interval can gradually restore the supply chain system to the expected state. Generally， the impulse intensity is small and the time interval is small. If the impulse intensity is large， the time interval can be increased accordingly； （2） unreasonable impulse intensity and time interval may lead to the deviation of supply chain system from the expected state； （3） For the chaotic supply chain system with uncertain parameters and input disturbance， the impulsive synchronization strategy is more constrained but has better robustness. These findings can reduce the negative impact of uncertain factors on the supply chain system， which is useful for decision-makers as it allows both the visualization and control of the states or dynamics of the entire supply chain system.

Key words: supply chain, chaos, impulsive synchronization, combined effect, uncertainty