About of Railway Sustainability on the Train Diagram
Posted: 12 Aug 2020
Date Written: March 18, 2020
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: Suggested Citation