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math.OC2026
Characterizations and Complexity of Minimum Forward and Integer Cycle Bases
Gabor Riccardi, Niels Lindner
The cycle space of a directed graph is generated by a cycle basis, where, in general, cycles are allowed to have both forward and backward arcs. In a forward cycle, all arcs must f…
math.OC2026
Optimizing Travel Time and Regenerative Energy for Periodic Timetables
Sarah Roth, Sven Jäger, Niels Lindner +1
Regenerating braking energy is one major pathway to make rail traffic energy-efficient. It is therefore desirable to design timetables that exploit this feature. However, timetable…
math.OC2026
Computational acceleration strategies for large-scale energy system optimization: a comparative study of GPU-accelerated and distributed-memory solvers
Janina Zittel, Annika Buchholz, Michael Bussieck +5
Energy system optimization models are increasing in scope and resolution, yielding large and challenging linear programs. For a long time, the standard way to address such problems…