Zheng Minchao, Yu Ying, Xu Jiayang, Mu Yunzhi
School of Economics and Management, Zhejiang University of Science and Technology, Hangzhou, Zhejiang, China.
College of Economics and Management, Zhejiang Normal University, Jinhua, Zhejiang, China.
PLoS One. 2025 Jan 14;20(1):e0316377. doi: 10.1371/journal.pone.0316377. eCollection 2025.
This paper investigates optimal ordering strategies in supply chains under two-level price fluctuations and initial profit allocation. By utilizing Copula functions to model the complex relationship between fluctuating prices and uncertain demand, the study develops both continuous and discrete decision models for practical applications. A discrete algorithm is proposed to approximate the optimal solution, with its convergence rigorously proven. Numerical experiments demonstrate that profit allocation ratios significantly impact optimal order quantities and overall supply chain profit. Price fluctuations, particularly at the discount level, present critical challenges, necessitating flexible and adaptive ordering strategies. The study also investigates the influence of different Copula relationships on optimal ordering decisions, revealing how varying market conditions-from moderate price sensitivity to high volatility-affect optimal order quantities. By examining ordering strategies in the context of profit allocation contracts, this research offers a new perspective on how supply chain members can collaboratively navigate uncertain markets. The findings provide actionable insights for managers to mitigate risks, improve coordination, and seize new opportunities. Extending traditional models to incorporate price fluctuations and profit allocation, this study makes theoretical and practical contributions to supply chain management, offering robust strategies to strengthen supply chain resilience.
本文研究了两级价格波动和初始利润分配情况下供应链中的最优订货策略。通过利用Copula函数对波动价格与不确定需求之间的复杂关系进行建模，该研究开发了适用于实际应用的连续和离散决策模型。提出了一种离散算法来逼近最优解，并严格证明了其收敛性。数值实验表明，利润分配比例对最优订货量和供应链总利润有显著影响。价格波动，尤其是在折扣水平上，带来了严峻挑战，需要灵活且适应性强的订货策略。该研究还考察了不同Copula关系对最优订货决策的影响，揭示了从中等价格敏感性到高波动性等不同市场条件如何影响最优订货量。通过在利润分配合同背景下研究订货策略，本研究为供应链成员如何协同应对不确定市场提供了新视角。研究结果为管理者减轻风险、改善协调和抓住新机遇提供了可操作的见解。本研究将传统模型扩展到纳入价格波动和利润分配，为供应链管理做出了理论和实践贡献，提供了增强供应链弹性的稳健策略。
