Abstract

Train stop planning provides appropriate service for travel demand and stations and plays a significant role in railway operation. This paper formulates stop planning from the point of view of direct travel between origin-destination (O-D) stations and proposes an analytical method to theoretically derive optimal service frequencies for O-D demand on different levels. Considering different O-D demand characteristics and train service types, we introduce the concept of stop probability to present the mathematical formulation for stop planning with the objective of minimizing per capita travel time, which is solved by an iterative algorithm combined with local search. The resulting optimal stop probabilities can be used to calculate the required service frequency for each train type serving different demand categories. Numerical examples, based on three real-life high-speed railway lines, demonstrate the validity of the proposed method. The proposed approach provides a more flexible and practical way for stop planning that explicitly takes into account the importance of different stations and passenger travel characteristics.

Highlights

  • Recent years have seen an accelerated development of high-speed railway (HSR) in China and many other countries to meet the increasing demand for travel and the socio-economic developments in these countries

  • Different from the binary integer decision variables in the mentioned studies, we propose the concept of stop probability, i.e., the probability of a train stopping at a station that is approximately equal to the ratio of the number of stop trains to that of passing trains, which is a continuous variable to represent the relative importance of a station in stop planning

  • Considering different O-D demand levels and train service types, we introduce the concept of stop probability to present the general principle and mathematical formulation for stop planning with the objective of minimizing the per capita travel time, and determine the service frequencies for each O-D pair according to demand characteristics

Read more

Summary

Introduction

Recent years have seen an accelerated development of high-speed railway (HSR) in China and many other countries to meet the increasing demand for travel and the socio-economic developments in these countries. Lai et al [30] designed an innovative stop planning network to formulate the stop sequences of trains and developed two binary integer programming models to tackle scenarios without and with passenger transfer These two studies only considered a single O-D demand level and did not present a specific level of service (service frequency) for different O-D pairs. Considering different O-D demand levels and train service types, we introduce the concept of stop probability to present the general principle and mathematical formulation for stop planning with the objective of minimizing the per capita travel time, and determine the service frequencies for each O-D pair according to demand characteristics.

Problem Formulation
Station Categorization
O-D Demand Categorization
Per Capita Boarding Deviation Time of Single-Service Demand
Equilibrium of Train Load
Equilibrium of Stop Density
Model Formulation
Solution Algorithm
Case Studies
Optimization Results
Analysis on Proportions of Train Kilometers of Train Type 1
Solved Results Practical results
Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call