11 citations · 22 across the 8 of their papers we have counts for
5 papers · 1 filter
A Comparison of Models for Rolling Stock Scheduling
Boris Grimm, Rowan Hoogervorst, Ralf Borndörfer
A major step in the planning process of passenger railway operators is the assignment of rolling stock, i.e., train units, to the trips of the timetable. A wide variety of mathemat…
K-Shortest Simple Paths Using Biobjective Path Search
Pedro Maristany de las Casas, Antonio Sedeño-Noda, Ralf Borndörfer +1
In this paper we introduce a new algorithm for the \emph{-Shortest Simple Paths} (\kspp{k}) problem with an asymptotic running time matching the state of the art from the litera…
Convergence Properties of Newton's Method for Globally Optimal Free Flight Trajectory Optimization
Ralf Borndörfer, Fabian Danecker, Martin Weiser
The algorithmic efficiency of Newton-based methods for Free Flight Trajectory Optimization is heavily influenced by the size of the domain of convergence. We provide numerical evid…
New Dynamic Programming Algorithm for the Multiobjective Minimum Spanning Tree Problem
Pedro Maristany de las Casas, Antonio Sedeño-Noda, Ralf Borndörfer
The Multiobjective Minimum Spanning Tree (MO-MST) problem is a variant of the Minimum Spanning Tree problem, in which the costs associated with every edge of the input graph are ve…
Newton's Method for Global Free Flight Trajectory Optimization
Ralf Borndörfer, Fabian Danecker, Martin Weiser
Globally optimal free flight trajectory optimization can be achieved with a combination of discrete and continuous optimization. A key requirement is that Newton's method for conti…