具有不确定需求的运输系统中惩罚供给不足的最优流入控制
Optimal inflow control penalizing undersupply in transport systems with uncertain demands
摘要：
我们关注的是不确定需求下的最优控制策略。一个Ornstein-Uhlenbeck过程描述了不确定的需求。供应系统内的传输由线性平流方程建模。我们考虑不同的方法来控制在给定的时间，以满足随机需求的最优方式生产量。特别是，我们引入了供应不足的惩罚，并分析其效果的最佳输出的数值模拟研究。
英文摘要：
We are concerned with optimal control strategies subject to uncertain demands. An Ornstein-Uhlenbeck process describes the uncertain demand. The transport within the supply system is modeled by the linear advection equation. We consider different approaches to control the produced amount at a given time to meet the stochastic demand in an optimal way. In particular, we introduce an undersupply penalty and analyze its effect on the optimal output in a numerical simulation study.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
