Integrated Optimization of Line Planning, Timetabling and Rolling Stock Allocation for Urban Railway Lines

Abstract

In order to improve train operation planning from the two perspectives of enterprise operating costs and passengers’ travel time, this paper proposes an integrated optimization model of three sub-problems, namely line planning, timetabling and rolling stock allocation for urban railway transit lines based on passengers’ travelling demands and the constraints of the urban rail line. The model features dwelling time at stations, turnaround operations at terminal stations, entering/exiting depot operations and an assignment for passengers’ travelling flow. We propose a solution method based on a metaheuristic method that simulates annealing to generate an optimal solution for the overall problem using MATLAB. Finally, we use the example of Xi’an metro line one to demonstrate the performance of the model.

Optimization for Sustainable Train Shunting Services Using DMAIC Cycle

“…For this reason, a specific cause-and-effect scheme is used in this paper. More importantly, a cause and effect analysis is especially implemented in railway systems all over the world [25][26][27][28][29].…”

Eco-Driving in Railway Lines Considering the Uncertainty Associated with Climatological Conditions

“…In summary, throughout the journey, the air density will vary due to the change in altitude and this variation will modify the running resistance equation according to the model described below. When the train runs on a line without wind, the running resistance term can be defined by Equation (7). In the running resistance model, lineal and quadratic terms vary as a function of train speed.…”

“…Running resistance model, given by Equation (7), is valid just when the wind has not been considered, so the model has to be modified, now influenced by the speed of the Pressure and temperature values strongly depend on the meteorological conditions given a specific area due to its geographical characteristics and the year's season. Therefore, considering the climatological model, they can be significantly different from one area to another.…”

“…Running resistance model, given by Equation (7), is valid just when the wind has not been considered, so the model has to be modified, now influenced by the speed of the Running resistance model, given by Equation (7), is valid just when the wind has not been considered, so the model has to be modified, now influenced by the speed of the train and wind vectors, as shown in Figure 1. The modification consists of replacing the train speed in Equation ( 7) by the train speed relative to the wind, which is equivalent to considering zero wind in the original equation:…”

“…Eco-driving is the obtention of the speed profile with the minimum energy consumption associated. The eco-driving speed profile is calculated for a specific target running time considering the previously designed timetable [3,[5][6][7][8][9][10][11].…”