In this article, we consider transport networks with uncertain demands. Network dynamics are given by linear hyperbolic partial differential equations and suitable coupling conditions, while demands are incorporated as solutions to stochastic differential equations. For the demand satisfaction, we solve a constrained optimal control problem. Controls in terms of network inputs are then calculated explicitly for different assumptions. Numerical simulations are performed to underline the theoretical results.

翻译：在本文中,我们考虑的是需求不确定的运输网络。网络动态是由线性双曲部分偏差方程式和适当的混合条件提供的,而需求则作为随机差异方程式的解决方案纳入。对于需求满意度,我们解决了有限的最佳控制问题。然后根据不同的假设明确计算网络投入的控制。进行了数字模拟以突出理论结果。