Abstract
The purpose of this paper is to discuss modelling and synchronization of nonlinear supply chain system. Firstly, we present a new supply chain system which is sensitive to various uncertainties along with exogenous disturbances. Synchronization is an important method to reduce the negative impact of uncertainties and disturbances on the supply chain. Since impulsive control can reduce control cost and the amount of transmitted information drastically, we discuss impulsive synchronization behavior of two supply chain systems with the same structure. Finally, simulation experiments are given to show the effectiveness of our analytical results.
Highlights
Chain globalization is conducive to increasing the competitiveness of enterprises, but it makes the supply chain face various uncertainties more frequently, such as demand uncertainty, supply uncertainty, and operational uncertainty. ese uncertainties lead to the supply chain system showing complex dynamic characteristics, such as bullwhip effect [1, 2]
Goksu et al [4] discussed the synchronization of two identical chaotic supply chain systems, and active and linear feedback controllers are applied for the system
As pointed out in [3], in today’s global marketplace, the supply chain is dynamic and unstable. is dynamic and unstable properties produce a variety of uncertainties in the supply chain, such as demand uncertainty, supply uncertainty, delivery uncertainty, and forecast uncertainty. ese uncertainties make the upstream and downstream transmission of the supply chain complex and nonlinear
Summary
Chain globalization is conducive to increasing the competitiveness of enterprises, but it makes the supply chain face various uncertainties more frequently, such as demand uncertainty, supply uncertainty, and operational uncertainty. ese uncertainties lead to the supply chain system showing complex dynamic characteristics, such as bullwhip effect [1, 2]. Anne et al [3] presented a three-echelon supply chain model which can be stated as follows:. Synchronization is an important method to reduce the negative impacts of uncertainties and disturbances on the supply chain. Goksu et al [4] discussed the synchronization of two identical chaotic supply chain systems, and active and linear feedback controllers are applied for the system. Considering the fact that the demand of a product does not increase monotonically with the increase of inventory, Mondal [10] proposed a new supply chain model as follows:. Erefore, in this paper, following the idea of Mondal, in which demand has a saturation level and it does not increase monotonically with the inventory, we will propose a new supply chain system which does not have singularity. For more information on impulsive control method and its advantages, the reader can refer to [11,12,13,14,15,16,17,18,19,20,21,22] and the references therein
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