A Turnpike Result for Optimal Boundary Control Problems with the Transport Equation under Uncertainty 1 The Deterministic Optimal Control Croblem We consider a deterministic optimal boundary control problem governed by a linear transport equation with source term and the corresponding static optimal problem. We state an integral turnpike result […]
Math Michael Schuster
3 posts
Probabilistic Constrained Optimization on Flow Networks This research was funded by DFG in the SFB Transregio 154: Mathematical modelling, simulation and optimization using the example of gas networks. Uncertainty often plays an important role in the context of flow problems. We analyze a stationary and a dynamic flow model […]
Convexity and Starshapedness of feasible sets in Stationary Flow Networks This research was funded by DFG in the SFB Transregio 154: Mathematical modelling, simulation and optimization using the example of gas networks. Uncertainty often plays an important role in application driven modeling. This often leads to optimization problems […]