Timetable Design for Urban Rail Line with Capacity Constraints

To design an efficient and economical timetable for a heavily congested urban rail corridor, a scheduling model is proposed in this paper. The objective of the proposed model is to find the departure time of trains at the start terminal to minimize the system cost, which includes passenger waiting c...

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Main Authors: Yu-Ting Zhu, Bao-Hua Mao, Lu Liu, Ming-Gao Li
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2015/429219
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author Yu-Ting Zhu
Bao-Hua Mao
Lu Liu
Ming-Gao Li
author_facet Yu-Ting Zhu
Bao-Hua Mao
Lu Liu
Ming-Gao Li
author_sort Yu-Ting Zhu
collection DOAJ
description To design an efficient and economical timetable for a heavily congested urban rail corridor, a scheduling model is proposed in this paper. The objective of the proposed model is to find the departure time of trains at the start terminal to minimize the system cost, which includes passenger waiting cost and operating cost. To evaluate the performance of the timetable, a simulation model is developed to simulate the detailed movements of passengers and trains with strict constraints of station and train capacities. It assumes that passengers who arrive early will have more chances to access a station and board a train. The accessing and boarding processes of passengers are all based on a first-come-first-serve basis. When a station is full, passengers unable to access must wait outside until the number of waiting passengers at platform falls below a given value. When a train is full, passengers unable to board must wait at the platform for the next train to arrive. Then, based on the simulation results, a two-stage genetic algorithm is introduced to find the best timetable. Finally, a numerical example is given to demonstrate the effectiveness of the proposed model and solution method.
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publishDate 2015-01-01
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series Discrete Dynamics in Nature and Society
spelling doaj-art-027949cf31c8462f92737b169092cd342025-02-03T01:25:28ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/429219429219Timetable Design for Urban Rail Line with Capacity ConstraintsYu-Ting Zhu0Bao-Hua Mao1Lu Liu2Ming-Gao Li3MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, ChinaMOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, ChinaMOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, ChinaMOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, ChinaTo design an efficient and economical timetable for a heavily congested urban rail corridor, a scheduling model is proposed in this paper. The objective of the proposed model is to find the departure time of trains at the start terminal to minimize the system cost, which includes passenger waiting cost and operating cost. To evaluate the performance of the timetable, a simulation model is developed to simulate the detailed movements of passengers and trains with strict constraints of station and train capacities. It assumes that passengers who arrive early will have more chances to access a station and board a train. The accessing and boarding processes of passengers are all based on a first-come-first-serve basis. When a station is full, passengers unable to access must wait outside until the number of waiting passengers at platform falls below a given value. When a train is full, passengers unable to board must wait at the platform for the next train to arrive. Then, based on the simulation results, a two-stage genetic algorithm is introduced to find the best timetable. Finally, a numerical example is given to demonstrate the effectiveness of the proposed model and solution method.http://dx.doi.org/10.1155/2015/429219
spellingShingle Yu-Ting Zhu
Bao-Hua Mao
Lu Liu
Ming-Gao Li
Timetable Design for Urban Rail Line with Capacity Constraints
Discrete Dynamics in Nature and Society
title Timetable Design for Urban Rail Line with Capacity Constraints
title_full Timetable Design for Urban Rail Line with Capacity Constraints
title_fullStr Timetable Design for Urban Rail Line with Capacity Constraints
title_full_unstemmed Timetable Design for Urban Rail Line with Capacity Constraints
title_short Timetable Design for Urban Rail Line with Capacity Constraints
title_sort timetable design for urban rail line with capacity constraints
url http://dx.doi.org/10.1155/2015/429219
work_keys_str_mv AT yutingzhu timetabledesignforurbanraillinewithcapacityconstraints
AT baohuamao timetabledesignforurbanraillinewithcapacityconstraints
AT luliu timetabledesignforurbanraillinewithcapacityconstraints
AT minggaoli timetabledesignforurbanraillinewithcapacityconstraints