Abstract

The goal of train re-scheduling is redesigning the time when trains arrive at and depart from stations of a railway section, and train control problem refers to determining the operating mode for a train in a railway section. It is quite necessary to study the two problems together, and they can be viewed as a theory base for self-driving study. We build a novel model to deal with train re-scheduling and train control problem synthetically. The approach is divided into two stages. The first stage is train re-scheduling, determining the arrival and departure time for trains. Depending on the arrival and departure time, the train running time can be calculated and it is set to be the constraint of the train control model. The destination of the second stage model is to save tracking energy in train operation process, determining the traction plan in each segment of a section between two stations. We also design a quantum-inspired particle swarm optimization algorithm to solve the integrated model. A computation case is presented to prove the availability of the approach. It can generate the re-scheduled timetable and train control plan synthetically with the approach presented in this paper. The main contribution of this paper is to propose a novel approach to solve train re-scheduling problem and train control problem synthetically. It can also provide supporting information for both the dispatchers and the train drivers to improve the on schedule rate and reduce the energy consumption. Furthermore, it may provide some valuable reference for the realization of automatic train driving.

Highlights

  • High-speed railway is still spreading in China today, which has affected the topology of China’s railway network

  • It is the constraint to deal with the train controlling problem, requiring that the train runs at an appropriate speed and through the stations according to a reasonable routing plan

  • Step 1: To initiate all the original solution and parameters of the model; Step 2: To calculate the fitness value of the model according to Equation (1) when solving train re-scheduling problem (Equation (19) when solving train control problem); Step 3: To calculate the change of argument of the particles according to Equation (30); Step 4: To calculate the positions of the particles according to Equation (35) and Equation

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Summary

Introduction

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. Scheduling problem, determining the arrival and departure time of the trains at stations. It is the constraint to deal with the train controlling problem, requiring that the train runs at an appropriate speed and through the stations according to a reasonable routing plan. Plan at Stations re-scheduling problem, determining the arrival and departure time of the trains at stations. The approachinpresented thisminimize paper can minimize thetime totalof delay time of the The presented this paperincan the total delay the trains and trains and assure the minimum energy consumption when the trains run between stations. It is an innovation in the algorithm application The approach in this in this paper can provide supporting information for both the dispatchers and the train drivers to improve the on schedule rate and reduce the energy consumption.

Literature Review
Integrated Model for Re-Scheduling and Control
Results and reflection of train control model
Mathematical Model
Second Stage-Train Control Problem
Particle Swarm Optimization Algorithm
Quantum Particle Swarm Optimization Algorithm
QPSO for Resolving Train Re-Scheduling and Control Problem
Flowcharts
Results
Computation Results and Discussion
Re‐scheduled
Summary
Conclusions

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