Chaotic Perspective on a Novel Supply Chain Model and Its Synchronization

Abstract

Today, scarce resources or many unpredictable factors such as demand have increased the importance of the supply chain. The motivation of this study is the need for the design and analysis of the dynamic supply chain model that will shed light on the companies. In the study, four different dynamic nonlinear supply chain models, which will be an example for companies to reveal their structures, are summarized and a new chaotic supply chain dynamic model developed for citrus production from perishable products, which has not yet been studied in the literature, is presented. The chaotic structure of this new model is demonstrated with time series, phase portraits, bifurcation diagrams, and Lyapunov exponents. In addition, with the active control technique, in which control parameters are added to all the equations of the supply chain system, the chaotic structure of the system was brought under control and synchronous operation was ensured with a different system. Thus, the production amount, demand, and stock data, which are the supply chain status variables of a company’s factories in a different area, can have similar values with an error close to zero.