About of Railway Sustainability on the Train Diagram

Posted: 12 Aug 2020

See all articles by Roman Upyr

Roman Upyr

Irkutsk State Transport University

Alena Domojirova

Irkutsk State Transport University

Date Written: March 18, 2020

Abstract

The authors propose a methodology for the process of train movement from the position of control theory. It could be presenting as a periodic function that can be displayed on the train graph as an envelope passing through the intersection of the train line and the axes of separate points on the railway line.

Using the example of a train schedule on a single-track section with a double-track insert, we are showing the cyclic nature of train movements, which can be described by well-known differential equations. Formulas are obtained for determining the frequency and cyclic frequency of oscillations on the train schedule.

It is proposed to expand the methodology presented for all other types of graphs, such as single-track paired non-packet, single-track paired partially-packet, single-track unpaired non-packet, relying on the presented technique, single-track unpaired partially-packet, two-track batch graphics. The results obtained allow us to move from the technology for developing a train schedule to a comprehensive assessment of the stability of traffic, which can be generalized and presented as a theory of stable train traffic.

Keywords: train schedule, train graph, stability of traffic, railway sustainability, train diagram

JEL Classification: R41

Suggested Citation

Upyr, Roman and Domojirova, Alena, About of Railway Sustainability on the Train Diagram (March 18, 2020). Available at SSRN: https://ssrn.com/abstract=3556382

Roman Upyr (Contact Author)

Irkutsk State Transport University ( email )

15 Tchernyshevsky st., 664074 Irkutsk
Irkutsk, 664074
Russia

Alena Domojirova

Irkutsk State Transport University ( email )

15 Tchernyshevsky st., 664074 Irkutsk
Irkutsk, 664074
Russia

Do you have negative results from your research you’d like to share?

Paper statistics

Abstract Views
289
PlumX Metrics