Car Delay Model near Bus Stops with Mixed Traffic Flow

This paper proposes a model for estimating car delays at bus stops under mixed traffic using probability theory and queuing theory. The roadway is divided to serve motorized and nonmotorized traffic streams. Bus stops are located on the nonmotorized lanes. When buses dwell at the stop, they block th...

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Main Authors: Yang Xiaobao, Huan Mei, Gao Ziyou
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/437637
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author Yang Xiaobao
Huan Mei
Gao Ziyou
author_facet Yang Xiaobao
Huan Mei
Gao Ziyou
author_sort Yang Xiaobao
collection DOAJ
description This paper proposes a model for estimating car delays at bus stops under mixed traffic using probability theory and queuing theory. The roadway is divided to serve motorized and nonmotorized traffic streams. Bus stops are located on the nonmotorized lanes. When buses dwell at the stop, they block the bicycles. Thus, two conflict points between car stream and other traffic stream are identified. The first conflict point occurs as bicycles merge to the motorized lane to avoid waiting behind the stopping buses. The second occurs as buses merge back to the motorized lane. The average car delay is estimated as the sum of the average delay at these two conflict points and the delay resulting from following the slower bicycles that merged into the motorized lane. Data are collected to calibrate and validate the developed model from one site in Beijing. The sensitivity of car delay to various operation conditions is examined. The results show that both bus stream and bicycle stream have significant effects on car delay. At bus volumes above 200 vehicles per hour, the curbside stop design is not appropriate because of the long car delays. It can be replaced by the bus bay design.
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institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-c9191d31118d4521bb79d313ddd429d02025-02-03T01:30:40ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/437637437637Car Delay Model near Bus Stops with Mixed Traffic FlowYang Xiaobao0Huan Mei1Gao Ziyou2MOE 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, ChinaThis paper proposes a model for estimating car delays at bus stops under mixed traffic using probability theory and queuing theory. The roadway is divided to serve motorized and nonmotorized traffic streams. Bus stops are located on the nonmotorized lanes. When buses dwell at the stop, they block the bicycles. Thus, two conflict points between car stream and other traffic stream are identified. The first conflict point occurs as bicycles merge to the motorized lane to avoid waiting behind the stopping buses. The second occurs as buses merge back to the motorized lane. The average car delay is estimated as the sum of the average delay at these two conflict points and the delay resulting from following the slower bicycles that merged into the motorized lane. Data are collected to calibrate and validate the developed model from one site in Beijing. The sensitivity of car delay to various operation conditions is examined. The results show that both bus stream and bicycle stream have significant effects on car delay. At bus volumes above 200 vehicles per hour, the curbside stop design is not appropriate because of the long car delays. It can be replaced by the bus bay design.http://dx.doi.org/10.1155/2013/437637
spellingShingle Yang Xiaobao
Huan Mei
Gao Ziyou
Car Delay Model near Bus Stops with Mixed Traffic Flow
Journal of Applied Mathematics
title Car Delay Model near Bus Stops with Mixed Traffic Flow
title_full Car Delay Model near Bus Stops with Mixed Traffic Flow
title_fullStr Car Delay Model near Bus Stops with Mixed Traffic Flow
title_full_unstemmed Car Delay Model near Bus Stops with Mixed Traffic Flow
title_short Car Delay Model near Bus Stops with Mixed Traffic Flow
title_sort car delay model near bus stops with mixed traffic flow
url http://dx.doi.org/10.1155/2013/437637
work_keys_str_mv AT yangxiaobao cardelaymodelnearbusstopswithmixedtrafficflow
AT huanmei cardelaymodelnearbusstopswithmixedtrafficflow
AT gaoziyou cardelaymodelnearbusstopswithmixedtrafficflow