Abstract

The main goal of present study is to develop a method for modeling delay propagation in non-cyclic train scheduling on a railroad network with mixed traffic. This will make it possible to explore the dynamics of delay transfer between trains and to identify the most vulnerable points in the timetable of trains. We have devised a method for modeling delay propagation in non-cyclic train scheduling for the rail networks with mixed traffic. It is proposed to apply as a basis of the developed method a mathematical model for the construction of a non-cyclic train timetable. A distinctive feature of the objective function of the mathematical model is taking into consideration the patterns of building a non-cyclic train timetable under conditions of mixed traffic of passenger and heavy-weight or multi-car freight trains, for which it is important to minimize the cost of stopping during motion. The proposed mathematical model was solved based on the multiagent optimization. To account for delay propagation on the railroad network of great dimensionality, we devised a procedure for connecting interdependent sections, which makes it possible to decompose the general problem based on the construction of schedule of trains for separate estimated sections taking into consideration the network effect. We performed an analysis of the dynamics of propagation of secondary delays in non-cyclic train scheduling with detailed patterns of changes in all parameters in time and space. We obtained dependences of the number and duration of delayed trains on the point of occurrence in the timetable of trains along the estimated line of the Ukrainian railroad network. The approach proposed allows the automatization of determining a time reserve in the standard non-cyclic train scheduling based on forecasting the consequences of train delays.

Highlights

  • One of the important indicators of the railroad system is the reliability and accuracy of transportation, which are directly associated with the stability of functioning [1, 2]

  • Underlying the operation of the railroad system is a working timetable (WTT), which is an annual plan for the allocation of time required by the necessary number of trains of different categories to travel along the railroad network

  • A capability to assess the consequences of delay propagation in a train timetable affects the capacity of a railroad system to confront the disruption of accuracy while performing a transportation process

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Summary

Introduction

One of the important indicators of the railroad system is the reliability and accuracy of transportation, which are directly associated with the stability of functioning [1, 2]. Given that a given motion rather negatively impacts the utilization of throughput capacity of railroad subsections, it is an important task to study complex processes of successive delay propagation. This would make it possible to properly distribute the magnitudes of time reserve in train timetables or, in the process of development, to alter train scheduling in order to reduce the influence of detected consequences of delay on the overall throughput capacity. It appears relevant to solve the task on modelling a delay propagation in non-cyclic train scheduling on railroad networks in order to improve reliability of passenger and freight trains flows in line with the assigned transportation plan

Literature review and problem statement
The aim and objectives of the study
Findings
G Primary tdelay delay path 2
Full Text
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