
Stability of Linearly Switched Demand Dynamics in Supply Chain Based on Inventory
Author(s) -
Yubao Wang,
Weihua Wang
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1910/1/012054
Subject(s) - supply chain , piecewise linear function , nonlinear system , linearity , stability (learning theory) , piecewise , computer science , mathematics , business , physics , geometry , marketing , quantum mechanics , machine learning , mathematical analysis
The organized supply chain is one of the best competitive ways for the retailer. The dynamics and stability of a supply chain under inventory and price with the feature of piecewise linearity is analysed. This switched linear model composed of four subsystems for the first time. On the basis of linear switched model, some stabilities are derived and the global dynamic behavior is theoretically examined. It is illustrated that the combination of the stock-dependent demand function and inventory can bring about the stability result under, but also arise more complicated nonlinear fluctuations under bη ≥ 1