Utilizing phase-type distributions for queueing-based railway junction performance determination

Journal of Rail Transport Planning & Management, vol. 35, pp. 100523

Abstract

To ensure the effective and objective development of transportation networks, it is crucial to identify performance limitations across various subsystems. A timetable-independent assessment of infrastructure capacity at railway junctions is a fundamental aspect of long-term rail network planning. While recent research introduced queueing-based methods to quantify route-based railway junction performance, modelling arrival and service processes has been limited to exponential distributions. This work utilizes Phase-Type Distributions to propose an extension to a previously described Continuous-Time Markov Chain model. In a comparison between assumed distribution combinations, the effect of a more detailed stochastic process modelling is described. Furthermore, an analysis of the differences to a simulation method is conducted for an exemplary railway junction. The introduced method enables infrastructure managers to accurately model stochastic processes for performance determination in the early stages of the strategic planning phase.

Authors 2

1. Tamme Emunds corresponding Aachen Institute of Transport Science

   RWTH Aachen University

   Affiliation as printed

   Institute of Transport Science, RWTH Aachen, Mies-van-der-Rohe Straße 1, Aachen, 52074, Germany

2. Nils Nießen Aachen Institute of Transport Science

   RWTH Aachen University

   Affiliation as printed

   Institute of Transport Science, RWTH Aachen, Mies-van-der-Rohe Straße 1, Aachen, 52074, Germany