# EA

Article http://dx.doi.org/10.26855/ea.2024.02.008

# Research on Train Operation Optimization Model Based on Linear Programming and Kinematics

TOTAL VIEWS: 1178

Fumiao Shang

North China University of Water Resources and Electric Power, Zhengzhou, Henan, China.

*Corresponding author: Fumiao Shang

Published: April 8,2024

## Abstract

In this paper, a linear programming model and a nonlinear programming model are established to solve the problem of train trajectory optimization. The aim is to determine the train running mode that minimizes both time and energy consumption. It provides an energy-saving and time-saving solution for train operation. The kinematics formula is used to establish the train operation model, and kinematics knowledge is utilized to analyze it. It is observed that the calculated dis-tance is less than the total distance. The in-depth analysis reveals that to reach the terminal station in the shortest time, it is necessary to accelerate with the maximum traction force, maintain the maximum speed, and then brake with the maximum braking force. The plot function in MATLAB is used to visualize the train operation. In consideration of the intricate road conditions and the complex motor operation process, the average slope is calculated using the formula for average slope, which involves computing the definite integral of the line graph. This paper analyzes the factors that affect train running time and energy consumption through an overall analysis method. The linear and nonlinear programming models for time and energy consumption are established.

## References

[1] Qu Zhiheng, Qu Xingzhao. Calculation method and coefficient determination of train braking distance conversion slope [J]. Railway Transportation and Economy, 2009, 31 (01): 84-86 + 90.

[2] Si Shoukui, et al. Mathematical modeling algorithm and applications [M]. Beijing: National Defense Industry Press, 2011, p. 18.

[3] Pei Yulong, Ma Ji. Analysis on the causes of road conditions and prevention countermeasures of road traffic accidents [J]. The Chinese Highway Journal, 2003(04):78-83. DOI:10.19721/j.cnki.1001-7372.2003.04.017.

[4] Guo Tengfeng, Zhang Zhiwei, Liu Bing, Liu Jianbei, Gao Jinsheng. The maximum longitudinal slope slope and slope length of the 6-axis articulated train dynamic highway [J]. Journal of Transportation Engineering, 2018, 18(03):34-43.

[5] Tian Jianhui, Luo Ling, Shang Pan. The CO2 emission prediction model for refining and chemical enterprises was constructed based on the linear planning technology [J]. World Petroleum Industry, 2022, 29 (05): 26-32.

## How to cite this paper

Research on Train Operation Optimization Model Based on Linear Programming and Kinematics

How to cite this paper: Fumiao Shang. (2024). Research on Train Operation Optimization Model Based on Linear Programming and Kinematics. Engineering Advances4(1), 43-59.

DOI: http://dx.doi.org/10.26855/ea.2024.02.008