Time Coordination of Periodic Passenger Train Connections in Conditions of Single-Track Lines

Filip Lorenz,Vit Janos,Michal Dorda,Dusan Teichmann

doi:10.1155/2021/3876561

Filip Lorenz, Vit Janos + Show 2 more

Open Access

https://doi.org/10.1155/2021/3876561

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Abstract

The article addresses creation of a mathematical model for a real problem regarding time coordination of periodic train connections operated on single-track lines. The individual train connections are dispatched with a predefined tact, and their arrivals at and departures to predefined railway stations (transfer nodes) need to be coordinated one another. In addition, because the train connections are operated on single-track lines, trains that pass each other in a predefined railway stations must be also coordinated. To optimize the process, mathematical programming methods are used. The presented article includes a mathematical model of the given task, and the proposed model is tested with real data. The calculation experiments were implemented using optimization software Xpress-IVE.

Highlights

Motivation to Solve the Given Problem e main objective of the transport processes in passenger transportation is to make them as short as possible
Where T is the total transport time, t1 is the walking time from the moving source to the given train stop, tw is the waiting time for the train, tt is the time spent on the train, ttr is the transfer time, and t2 is the walking time from the train stop to the given moving destination
As it is clear from the above-stated formula, one of the possibilities of how to shorten the total transport time is to minimize the waiting time for connections at the transfer nodes

Summary

Introduction

Motivation to Solve the Given Problem e main objective of the transport processes in passenger transportation is to make them as short as possible. Where T is the total transport time (min), t1 is the walking time from the moving source to the given train stop (min), tw is the waiting time for the train (min), tt is the time spent on the train (transport time) (min), ttr is the transfer time (including waiting time at the transfer nodes) (min), and t2 is the walking time from the train stop to the given moving destination (min) As it is clear from the above-stated formula, one of the possibilities of how to shorten the total transport time is to minimize the waiting time for connections at the transfer nodes. Time coordination of the transport processes is based on the principle of proposing such time positions of the given connections that will allow for minimizing time losses of the passengers from the moment they board the first train on their transport route until the moment they get off the last connection on their way

Analysis of the Current State of the Art

Mathematical Model Proposal

Calculation Experiments with Proposed Model