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math.OC2026
An Eikonal Approach for Globally Optimal Free Flight Trajectories
Ralf Borndörfer, Arturas Jocas, Martin Weiser
We present an eikonal-based approach that is capable of finding a continuous globally optimal trajectory for an aircraft in a stationary wind field. This minimizes emissions and fu…
math.OC2024
Electric Bus Scheduling with Non-Linear Charging, Power Grid Bottlenecks, and Dynamic Recharge Rates
Fabian Löbel, Ralf Borndörfer, Steffen Weider
Public transport operators are gradually electrifying their bus fleets, predominantly with battery-powered drive trains. These buses commonly have to be scheduled to recharge in-se…
math.OC2024
An Iterative Refinement Approach for the Rolling Stock Rotation Problem with Predictive Maintenance
Felix Prause, Ralf Borndörfer
The rolling stock rotation problem with predictive maintenance (RSRP-PdM) involves the assignment of trips to a fleet of vehicles with integrated maintenance scheduling based on th…