非线性约束条件下的应急供应链网络均衡研究

Research on Emergency Supply Chain Network Equilibrium under Nonlinear Constraints

摘要: 在应急供应链因各参与方之间的利润冲突而频繁失效的背景下，网络均衡理论常被用于构建应急供应链模型，以确保决策的稳定性。然而，现有模型的线性、单调、可导约束条件无法充分捕捉应急情境下的复杂决策行为，从而限制了模型在实际应用中的有效性和准确性。为了解决这个问题，我们提出了一个应急供应链网络均衡变分不等式模型，并创新性地使用非线性、非单调甚至非连续的函数作为模型的约束条件。通过设计案例进行模拟仿真，我们验证了该模型可以在复杂的非线性环境中，为各参与方提供符合其利润要求的稳定决策，显著提升了实际应用价值。

Abstract: In the context of frequent failures in emergency supply chains due to profit conflicts among participants, network equilibrium theory is often used to construct emergency supply chain models to ensure decision stability. However, existing models with linear, monotonic, and differentiable constraints fail to fully capture the complex decision-making behaviors in emergency situations, thereby limiting their effectiveness and accuracy in practical applications. To address this issue, we propose an emergency supply chain network equilibrium variational inequality model, innovatively using nonlinear, non-monotonic, and even discontinuous functions as constraints. Through designed case simulations, we verify that this model can provide stable decisions that meet the profit requirements of all participants in complex nonlinear environments, significantly enhancing its practical application value.