12 citations
2 papers
math.OC2018★ 10 cited
A discrete event traffic model explaining the traffic phases of the train dynamics on a linear metro line with demand-dependent control
Florian Schanzenbacher, Nadir Farhi, Fabien Leurent +1
In this paper we present a mathematical model of the train dynamics in a linear metro line system with demand-dependent run and dwell times. On every segment of the line, we consid…
math.OC2018★ 12 cited
A discrete event traffic model explaining the traffic phases of the train dynamics in a metro line system with a junction
Florian Schanzenbächer, Nadir Farhi, Zoi Christoforou +2
This paper presents a mathematical model for the train dynamics in a mass-transit metro line system with one symmetrically operated junction. We distinguish three parts: a central…