On Individual Repositioning Distance along Platform during Train Waiting

Out of waiting times spent in rail stations on boarding platforms, some part can be reinvested by the trip-makers to optimize their positions of boarding and save on travel time for the rest of their trips. This paper provides a stochastic model, in which user’s journey is decomposed into phases of,...

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Main Authors: Fabien Leurent, Xiaoyan Xie
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Advanced Transportation
Online Access:http://dx.doi.org/10.1155/2018/4264528
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author Fabien Leurent
Xiaoyan Xie
author_facet Fabien Leurent
Xiaoyan Xie
author_sort Fabien Leurent
collection DOAJ
description Out of waiting times spent in rail stations on boarding platforms, some part can be reinvested by the trip-makers to optimize their positions of boarding and save on travel time for the rest of their trips. This paper provides a stochastic model, in which user’s journey is decomposed into phases of, successively, walking in the access station, platform positioning, waiting for boarding, train riding, and walking in the egress station. Walking speed and target position are modeled as individual factors, and in-station distances as random variables. Service timetable is exogenous. This makes egress times and exit instants random variables that are characterized by distribution and mass probability functions under closed-forms, for both single and distributed walking speeds. Specific statistical distributions are shown to ease computation. The resulting PDF formulae make likelihood functions of the model parameters. Maximum likelihood estimation is proposed and applied to a case study of commuter rail line in Paris: journeys between stations Vincennes and La Défense along line A of the Regional Express Railways. Based on data from Automated Fare Collection and Automatic Vehicle Location systems and pertaining to an individual user, satisfactory results were obtained.
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institution Kabale University
issn 0197-6729
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spelling doaj-art-89573bfe85824739afa54b9993cb7a262025-02-03T05:57:10ZengWileyJournal of Advanced Transportation0197-67292042-31952018-01-01201810.1155/2018/42645284264528On Individual Repositioning Distance along Platform during Train WaitingFabien Leurent0Xiaoyan Xie1LVMT, UMR-T 9403, Ecole des Ponts, IFSTTAR, UPEM, UPE, 77455, Champs-sur-Marne, FranceLVMT, UMR-T 9403, Ecole des Ponts, IFSTTAR, UPEM, UPE, 77455, Champs-sur-Marne, FranceOut of waiting times spent in rail stations on boarding platforms, some part can be reinvested by the trip-makers to optimize their positions of boarding and save on travel time for the rest of their trips. This paper provides a stochastic model, in which user’s journey is decomposed into phases of, successively, walking in the access station, platform positioning, waiting for boarding, train riding, and walking in the egress station. Walking speed and target position are modeled as individual factors, and in-station distances as random variables. Service timetable is exogenous. This makes egress times and exit instants random variables that are characterized by distribution and mass probability functions under closed-forms, for both single and distributed walking speeds. Specific statistical distributions are shown to ease computation. The resulting PDF formulae make likelihood functions of the model parameters. Maximum likelihood estimation is proposed and applied to a case study of commuter rail line in Paris: journeys between stations Vincennes and La Défense along line A of the Regional Express Railways. Based on data from Automated Fare Collection and Automatic Vehicle Location systems and pertaining to an individual user, satisfactory results were obtained.http://dx.doi.org/10.1155/2018/4264528
spellingShingle Fabien Leurent
Xiaoyan Xie
On Individual Repositioning Distance along Platform during Train Waiting
Journal of Advanced Transportation
title On Individual Repositioning Distance along Platform during Train Waiting
title_full On Individual Repositioning Distance along Platform during Train Waiting
title_fullStr On Individual Repositioning Distance along Platform during Train Waiting
title_full_unstemmed On Individual Repositioning Distance along Platform during Train Waiting
title_short On Individual Repositioning Distance along Platform during Train Waiting
title_sort on individual repositioning distance along platform during train waiting
url http://dx.doi.org/10.1155/2018/4264528
work_keys_str_mv AT fabienleurent onindividualrepositioningdistancealongplatformduringtrainwaiting
AT xiaoyanxie onindividualrepositioningdistancealongplatformduringtrainwaiting