Optimal Inflow Control Penalizing Undersupply in Transport Systems with Uncertain Demands

@inproceedings{Gottlich2019OptimalIC,
  title={Optimal Inflow Control Penalizing Undersupply in Transport Systems with Uncertain Demands},
  author={Simone Gottlich and Ralf Korn and Kerstin Lux},
  year={2019}
}
  • Simone Gottlich, Ralf Korn, Kerstin Lux
  • Published 2019
  • Mathematics
  • 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. 

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