Hindawi Publishing Corporation
Mathematical Problems in Engineering
Volume 2013, Article ID 108636, 8 pages
http://dx.doi.org/10.1155/2013/108636
Research Article
Crossing Reliability of Electric Bike Riders
at Urban Intersections
Huan Mei, Yang Xiaobao, and Jia Bin
MOE Key Laboratory for Urban Transportation Complex Systems heory and Technology, Beijing Jiaotong University,
Beijing 100044, China
Correspondence should be addressed to Yang Xiaobao; yangxb@bjtu.edu.cn
Received 13 June 2013; Accepted 31 July 2013
Academic Editor: Wuhong Wang
Copyright © 2013 Huan Mei et al. his is an open access article distributed under the Creative Commons Attribution License,
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
his paper presents a crossing reliability model of electric bike riders at urban intersections using survival analysis approach. Riders’
crossing behavior was collected by video cameras. Waiting times in the red-light phase were modeled by reliability-based model that
recognizes the covariate efects. hree parametric models by the exponential, Weibull, and log-logistic distributions were proposed
to analyze when and why electric bike riders cross against the red light. he results indicate that movement information and situation
factors have signiicant efects on riders’ crossing reliability. he indings of this paper provide an important demonstration of
method and an empirical basis to assess crossing reliability of electric bike riders at the intersection.
1. Introduction
Nonmotorized vehicles (i.e., mainly regular bicycles and elec-
tric bikes) are one of the most popular means of transporta-
tion in some Asian developing countries, such as Vietnam,
Cambodia, and China. Even in developed countries, cycling
travel is recognized as low energy consumption, healthy to the
users and do not damage the health of others. For example,
people who go to work by bike would obtain material reward
from the government in Korea [1]. In London, in order to
encourage people to travel by bike, the local government
carried out the cycling revolution [2].
In recent years, the electric bike has entered people’s
life. Because of electric bike is labor-saving and speedy, it
has emerged as a popular mode of transportation in many
large cities in China [3]. he number of Chinese electric
bikes was about 140 million in 2012 [4]. Electric bikes in
China are deined as electric two wheelers with relatively low
speeds and weights compared to a motorcycle. Both bicycle-
style electric bikes (with functioning pedals) and scooter-
style electric bikes (with many of the features of gasoline
scooters) are classiied as bicycles and are given access to
bicycle infrastructure (see Figure 1).
However, the growing popularity of cycling traic also
entails safety concerns as observed in accident and injury
statistics. Traic accident proportion of cyclists has always
been high because cyclists are vulnerable groups in the traic
conlict. In 2010, 4616 regular bicyclists were killed and 14,283
were seriously injured in road accidents, representing 7.1% of
all traic fatalities and 5.6% of injuries [5]. With the rapidly
increasing number of electric bikes, more and more people
pay much concerned about traic security problems involved
electric bikes. In 2004, 589 electric bike riders were died
and 5295 were seriously injured in road accidents [6]. In
2010, the corresponding igures increased to 4029 and 20,311,
respectively, representing 6.2% of all traic fatalities and 8.0%
of injuries [5].
Accident analysis reveals that over 60% of cyclist fatal
crashes were caused by violation of traic rules [5]. Red-
light crossing is a typical type of rule violation behavior.
Because of the poor law enforcement and peoples’ low safety
awareness, violation behavior in the red-light period is rather
prevalent and represents a substantial safety problem in
Chinese urban intersections [7]. Particularly, electric bike
riders with relatively high speed are much more likely to
increase the risk of traic incident.
So far, many scholars have studied red-light crossing
behaviors, but many focused on motorized vehicles [8, 9] and
pedestrians [10–13]. Unfortunately, only a few studies have
investigated bicyclists’ red-light crossing behavior, much less