<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>This article constructs a nonlinear differential equation model that incorporates non-defective return factors and minimizes the expected cost of the inventory control problem under the cross-border e-commerce overseas warehouse model. Under the dynamic background, the problem of pricing and shop assistant decision-making in the supply chain is studied, and the differential game model is constructed. We use differential game theory to give pricing and store assistance strategies under decentralized and centralized decision-making. At the same time, we designed a contract to achieve supply chain coordination in this context. Numerical examples calculate the optimal return price and optimal order quantity under supply chain coordination.</p>
</abstract>

This article constructs a nonlinear differential equation model that incorporates non-defective return factors and minimizes the expected cost of the inventory control problem under the cross-border e-commerce overseas warehouse model. Under the dynamic background, the problem of pricing and shop assistant decision-making in the supply chain is studied, and the differential game model is constructed. We use differential game theory to give pricing and store assistance strategies under decentralized and centralized decision-making. At the same time, we designed a contract to achieve supply chain coordination in this context. Numerical examples calculate the optimal return price and optimal order quantity under supply chain coordination.

Nonlinear Differential Equations in Cross-border E-commerce Controlling Return Rate

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

This article constructs a nonlinear differential equation model that incorporates non-defective return factors and minimizes the expected cost of the inventory...

Nonlinear Differential Equations in Cross-border E-commerce Controlling Return Rate

Published Online: Jul 15, 2022

Page range: 417 - 426

Received: Jan 23, 2022

Accepted: Mar 17, 2022

DOI: https://doi.org/10.2478/amns.2022.2.00024

Keywords
Nonlinear differential equation, Cross-border e-commerce, Return rate

© 2023 Yun Zhang, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Nonlinear Differential Equations in Cross-border E-commerce Controlling Return Rate

Published Online: Jul 15, 2022

Page range: 417 - 426

Received: Jan 23, 2022

Accepted: Mar 17, 2022

DOI: https://doi.org/10.2478/amns.2022.2.00024

KeywordsNonlinear differential equation, Cross-border e-commerce, Return rate

© 2023 Yun Zhang, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Nonlinear differential equation, Cross-border e-commerce, Return rate