Research Article Simulator Evaluation of Drivers

Hindawi Publishing Corporation
Advances in Mechanical Engineering
Article ID 249275
Research Article
Simulator Evaluation of Drivers’ Performance on Rural
Highways in relation to Drivers’ Visual Attention Demands
Yaqin Qin, Jian Xiong, Yubo Jiang, Fengxiang Guo,
Huasen Wan, Lianghua Jiang, and Xianguang Jia
Faculty of Transportation Engineering, Kunming University of Science and Technology (KUST), Kunming, Yunnan 650500, China
Correspondence should be addressed to Yaqin Qin; qyq [email protected]
Received 29 July 2014; Accepted 14 September 2014
Academic Editor: Ming Yang
Copyright © Yaqin Qin et al. This 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.
Aim of the study is to investigate, by means of a driving simulator experiment, drivers’ performance in terms of lateral position,
speed, deceleration, steering angle, and breaking times on a divided two-lane rural highway in relation to drivers’ visual attention
(VD). In the experiment, the virtual scene of twenty different geometric alignment sections without traffic and the VD testing
were designed. Twenty-three experienced drivers with the calibration of attention capacity participated in a 30 km drive in an
interactive fixed-base simulator. Each participant was required to drive with the controlled speed of 60 km/h along the central
lane as repeating random number and was evaluated on VD and driving performances. Three different data analysis techniques
were used: (a) statistical tests and hypothesis test of curvature change rate (CCR) of the geometric alignments, visual attention
demands, and driving performance data, (b) correlation analysis of VD, CCRs, and driving behaviors, and (c) regression analysis
of the VD and CCRs. Results have showed that the driving performance can be effectively influenced by the highway alignment
and a prediction model built in this study can evaluate the drivers’ visual attention demands before the highway constructed. The
interactions among VD, driving behavior, and CCRs were also found.
1. Introduction
Driving requires continuous and high level concentration of
attention. Attention is the taking possession by the mind in
clear and vivid form of one out of what seem several simultaneously possible objects or trains of thoughts. It implies
withdrawal from some things in order to deal effectively with
others [1]. Inattention during driving and driver distraction
account for a substantial number of traffic accidents [2,
3]. One study showed that the accidents related to drivers’
inattention as a contributing factor have been in the range of
10% of all accidents [4].
Driving is a certain risk behavior that is highly visiondependent [5]. Safe automobile driving requires drivers to
process large amounts of dynamic information under time
pressure. When someone is driving a car on the highway,
his operating behaviors are mainly determined by his visual
judgment of the highway’s alignment. The visual shape of
the travel space directly affects the driver’s driving behavior
and speed. Most researches on driver’s visual attention have
analyzed drivers’ visual behavior and driving behavior [6,
7]. Drivers’ glancing and driving behaviors reflected the
visual attention demands when drivers carry out nondriving
secondary tasks, and significant research has either focused
on one or used both as indicators of driver attention demands.
Wierwille proposed a simple model which describes the
change of gaze observable while driving with visual secondary tasks [8]. A model by Salvucciand on attention
processes in multitasking was used to model attention in
driving with secondary tasks. They simulated gazing and
driving stabilization behavior for several secondary tasks.
This model takes into account only the stabilization level of
the driving task (steering and acceleration/braking) with a
secondary task [9]. Driving behaviors, including both the
longitudinal control measures (e.g., speed variance and mean
speed) and lateral tracking measures (e.g., lane position,
lateral speed, and steering wheel angle) are valid bases for
evaluation and have been widely used in studying drivers’
2
attention resources. A number of simulator studies have
examined the driver’s dynamic visual characteristics [10, 11]
and mostly based on eye-tracking test technology or road
driving simulation experiment [12, 13].
Some curved sections of urban motorway have comparatively high frequency of accident occurrence. Hong
et al. attempted to link and grasp three factors, namely,
eye movement, roadway alignment, and driver speed and
steering control and proposed a model that evaluates the
risk of curved section in relation to the driver’s eye movement and driving behavior [14]. Design consistency refers
to the conformance of a highway’s geometry with driver
expectancy. A consistent design allows drivers to perform
the task of driving safely, allowing attention or capacity to
be dedicated to obstacle avoidance and navigation. Tsimhoni
and Green found visual demand increased significantly with
the reciprocal of curve radius [15]. Fitzpatrick et al. found
speed variance was inappropriate as a design consistency
measure for horizontal curvature, and visual demand was a
measure of the information processing demands imposed by
roadway geometry on a driver [16]. Wooldridge et al. also
revealed several relationships between roadway geometry
and visual demand [17]. Curve radius and its reciprocal were
found to be significantly related to visual demand. Based
on the model of driver visual demand on simple horizontal
curves, Easa and Ganguly modeled driver visual demand
on complex horizontal alignments that included simple,
compound, and reverse curves [18]. On the following Easa
and He developed models for evaluating visual demand on
3D highway alignments to carry out a design consistency
evaluation [19].
To investigate the correlation among highway alignments,
visual attention demands, and driving performance, we had
posed the following experiment which was designed to
further investigate the impact of roadway alignment on
driver performance and driver’ visual attention demand.
The primary questions of interest were as follows. (1) What
are the changes in drivers’ visual attention demands on
rural highways with different curvature change rate (CCR)?
(2) How are these changes reflected in driving behaviors?
(3) What is the correlation between rural highway design
consistency and drivers’ visual attention demands?
2. Methods
2.1. Participants. Twenty-three participants (7 females and
16 males) aged from 25 to 58 years old (𝑀 = 36.2, S.D. =
9.7) took part in this study. All held valid license and were
experienced drivers (driving experience from 5 to 21 years,
𝑀 = 7.2, S.D. = 5.3) who drove at least 8,000 km annually.
The participants were selected from a test driver panel of our
laboratory. All drivers had completed at least 20 minutes of
practice in the driving simulator and had mostly participated
in several other driving simulator studies before. All had
normal or corrected-to-normal visual acuity and did not take
any kind of medicine.
2.2. Apparatus. The experiment platform built by the simulation laboratory of Faculty of Transportation in Kunming
Advances in Mechanical Engineering
Figure 1: The KMRTDS driving simulator.
University of Science and Technology includes a driving
simulator and a visual attention demand system.
2.2.1. Driving Simulator. The experiment was conducted with
a full-size interactive driving simulator (KMRTDS) with
fixed base (Figure 1). The driving simulator setup consists
of a fully equipped XiaLI sedan, which featured all normal
displays and controls (steering, brakes, and accelerator),
placed in front of an arc screen subtending 150∘ horizontally.
The virtual environment was projected on the screen at a
resolution of 1024 × 768 pixels from three projectors at a
frequency of 50 Hz. The simulator rendered dynamic images
of driving scenarios based on the inputs of drivers. The
participants in the car operated the controls, moving through
the virtual world according to his or her inputs to the car.
This system provides realistic road, fog, and dynamic traffic
flows with appropriate direction, speed, and intensity. To test
absolute validity, comparison between real-world and driving
simulator speed data was performed in a previous study.
Before the experiment we ensured the real-time of the system
and the fidelity of the experimental scene.
2.2.2. Visual Attention Demand Test. Visual attention demands test is based on a special performance of visual
occlusion. The driver must attend a secondary visual task
developed by software on a computer under “safe driving”
process. The secondary visual task will ask the driver to
transfer the vision from the driving context to the secondary
visual task, which forms the visual occlusion for effective
driving information of the highway geometric alignments,
traffic flow, and so on. (Figure 2 showed the secondary visual
task on the laptop computer laying right side of the driver’s
line of sight.) The “safe driving” is defined as the test vehicle
should not collide with other vehicles or exceed the driving
lane edges at any time.
The secondary visual task is designed by random number
repetition. Subjects drove the test track whilst repeating
random numbers generated separately in the 12 text-boxes on
the software interface. The percentage of numbers repeated
whilst driving the test track was compared with the percentage repeated whilst the vehicle was stationary. To calibrating
the subjects’ attention capacity, the subjects should repeat
correctly when the vehicle is stationary. Let the percentage of
numbers repeated correctly when the vehicle is stationary be
Advances in Mechanical Engineering
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16:31:04
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Figure 2: The visual attention demand test while driving and the software interface.
100% at a certain frequency (Δ𝑇) when the random numbers
display one by one, and for a particular speed/curvature
combination on the track, let the percentage be 𝑋% at the
same display rate Δ𝑇. The visual attention demand (VD) was
estimated as follows:
VD𝑖 = 100% − 𝑋%,
(1)
where VD𝑖 is the visual attention demand at 𝑖th test track
section. The VD provides a measure of an average percentage
when a driver observing the roadway and traffic at a roadway
section. As the driving scene becomes complex, the driver
would need more visual attention demand to sense and
analyze the information to control his/her driving, leading to
less sampling of the secondary visual task. The VD is greater,
which indicates the subject’s visual demand for road traffic
environment analyzing and driving behavior decision higher.
2.3. Experimental Design and Procedure. To examine attention demands and driving performance on different geometric alignment highway, a study with secondary visual task
was conducted in the driving simulator. A one-way repeated
measures design was used by presenting order of test sections.
The virtual environment through which participants drove
was a single visual database including rural sections. In
the experiment, a 30 km stretch of two-lane rural highway
with lane width equal to 3.50 m and a central barrier was
simulated. The experimental route consisted of 20 geometric
alignment sections (Figure 3, designed according to the highway engineering technique standard 2013 in China) with the
section number from 1 to 20 and different curvature change
rates (CCRs). The CCR was not only used to characterize
the geometric alignments of experimental sections, but also
the difficulty rates of driving tasks. The design speed of the
highway was 60 km/h without traffic flows.
The primary task was driving at the speed of 60 km/h
along the dotted marking on the central lane on KMRTDS.
If drivers were traveling below or above 10 km/h, they would
be audio reminded. If the driving behaviors were not “safe
driving,” he/she were asked to drive the same track once more.
The primary hypothesis for VD testing is that the driver
must make sure the divided attention to the secondary visual
task under performing the safe driving (namely the primary
visual task), which would not need any more visual attention.
Upon arriving in the laboratory, each subject driver was
briefed on the requirements of the experiment and signed
an informed consent document. Consistent with previous
studies, each participant drove 20 min on a learning route.
Then the subjects attended the stationary random number
repetition test to 100% correction to get the Δ𝑇. In the process
of the subject’s experiment, the Δ𝑇 was used to generate the
random number at the same time rate. The objective was to
eliminate the reaction differences of drives’ attention among
subjects. After each trial, subjects filled out a Nasa-TLX
workload rating form and a simulator sickness questionnaire.
It took each driver 90 min to complete the trial.
2.4. Data Collection. In this study, we collected data on the
driver’s driving primary and secondary performance on each
section. Drivers’ primary performances while driving the test
track were recorded by the KMRTS. Although the simulator
collected a number of parameters, we only processed the
output data consisted of the time (with a gap of 0.02 s) and
the corresponding coordinate (𝑥, 𝑦, and 𝑧), longitudinal
and lateral speeds and acceleration, steering angle, braking
pedal displacement, and braking times. The lateral position
was defined as the location of the vehicle’s longitudinal axis
relative to a longitudinal road reference system [20]. In our
study, the lateral position corresponded to the distance (in
m) from the vehicle centroid to the lane centerline. In the test
trials, we selected 6 parameters as the driving performance
indicators. Drivers’ secondary task performances were audio
and screen recording. According to the subject’s number
repetition and the displaying number on a laptop randomly,
the VD on each section was calculated artificially.
3. Results
Prior to any statistical analyses, a data screening was used to
identify and exclude any response outliers that arose due to
experimental equipment issues or participant failure to follow
instructions during test trials, which were not expected in
the experiment design. In this case, the experiment that the
traveling average speeds are upon 75 km/h or below 50 km/h
in a section was excluded from data analysis. In addition,
the experiment that the lateral position went beyond the
highway sideline was also excluded from data analysis. After
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Advances in Mechanical Engineering
0
120
R360
13
2
38
400 15
41
4
317
800
8
I = 3%
R400
7
16
601
4
19
R7
5
264
2
119
20
400
I = 3%
X
600
1
00
6
5
I = 5%
R400
00
R5
Y
R1
0
122
158
600
3
0
R1100
R400
12
6
766
800
R600
0
0
R2
9
R6
00
18
I = −5%
I = 3%
R200
17
800
622
R400
10
331
234
190
I = −4%
R600
14
I = −6%
I = 3%
00
R6
1207
800
274
207
800
12
11
R600
4
25
2
447
Figure 3: The experimental route consisted of 20 geometric alignment sections.
Table 1: Statistical results and variance results of the single-factor analysis for 6 driving behaviors of the overall experimental section.
Driving behaviors
Lateral position
Longitudinal speed
Longitudinal acceleration
Lateral acceleration
Steering angle
Braking times
Mean
0.65
61.09
0.190
0.418
11.616
8.047
Standard deviation
0.66
7.305
0.211
0.381
10.221
4.86
Standard error mean
0.0020
0.0226
0.0007
0.0012
0.0316
.000476
the preliminary data screening process, data validation was
conducted by hypothesis test using 𝐹 test (ANOVAs) and
Kruskal-Wallis nonparametric test to check for homogeneity
of variance and average. A trend line analysis (TLA) was
conducted to identify those behaviors with the greatest
degree of variability. After the dataset validation, correlation
analyses and regression analyses were conducted on driving
performances for which interrelations were expected.
3.1. Driving Performance. Based on the results of TLA,
the driving performance measures were selected to assess
whether the driving performances are differing from each
Average sum.
11833.926
459223.680
78.803
6356.971
4148103.055
4071.635
df
19
19
19
19
19
428
Mean square
622.838
24169.720
3.148
333.577
218321.266
214.297
𝐹
1.913𝐸3
493.449
93.330
3.974𝐸3
3.365𝐸3
14.513
Sig.
0.000
0.000
0.000
0.000
0.000
0.000
other on different CCRs sections. The independent variables
are lateral position (m), longitudinal speed (km/h), longitudinal and lateral acceleration (m/s2 ), steering angle (deg),
and braking times (times) in ANOVA tests, respectively.
Statistical results and ANOVA results of driving performance
measures (Table 1) indicated that the driving behaviors were
significant differences on the overall test sections.
Additionally, results of Kruskal-Wallis nonparametric test
for driving performance measures revealed their significance
of the difference in different CCRs sections. The mean ranks
of driving performance measures are significant difference
(asymp. sig. < 0.01).
0.00
12 8 10 1 13 17 15 3 5 14 6 20 4 18 7 19 11 2 16 9
70.00
60.00
50.00
40.00
Section number/corresponding CCRs
Section number/corresponding CCRs
0.00
12 8 10 1 13 17 15 3 5 14 6 20 4 18 7 19 11 2 16 9
2.00
1.50
1.00
0.50
0.00
−0.50
Section number/corresponding CCRs
Section number/corresponding CCRs
30.00
20.00
10.00
0.00
−10.00
12 8 10 1 13 17 15 3 5 14 6 20 4 18 7 19 11 2 16 9
Section number/corresponding CCRs
(e)
(d)
Braking times ± 1 SD (times)
40.00
0.02499
0.03749
0.04997
0.04999
0.06248
0.07491
0.07498
0.08326
0.98136
1.58590
1.62150
1.66954
2.21729
2.46934
2.48321
2.53060
2.78764
4.04518
5.26698
5.79511
Steering angle ± 1 SD (deg)
(c)
50.00
12 8 10 1 13 17 15 3 5 14 6 20 4 18 7 19 11 2 16 9
0.02499
0.03749
0.04997
0.04999
0.06248
0.07491
0.07498
0.08326
0.98136
1.58590
1.62150
1.66954
2.21729
2.46934
2.48321
2.53060
2.78764
4.04518
5.26698
5.79511
0.20
(b)
Lateral acceleration ± 1 SD (m/s2 )
0.40
0.02499
0.03749
0.04997
0.04999
0.06245
0.07491
0.07498
0.08326
0.98136
1.58590
1.62150
1.66954
2.21729
2.46934
2.48321
2.53060
2.78764
4.04518
5.26698
5.79511
Longitudinal acceleration ± 1 SD
(m/s 2 )
(a)
0.60
12 8 10 1 13 17 15 3 5 14 6 20 4 18 7 19 11 2 16 9
0.02499
0.03749
0.04997
0.04999
0.06248
0.07491
0.07498
0.08326
0.98136
1.58590
1.62150
1.66954
2.21729
2.46934
2.48321
2.53060
2.78764
4.04518
5.26698
5.79511
1.00
80.00
25.0
20.0
15.0
10.0
5.0
0.0
12 8 10 1 13 17 15 3 5 14 6 20 4 18 7 19 11 2 16 9
0.024993
0.037489
0.049973
0.049985
0.062448
0.074910
0.074978
0.083264
0.981360
1.585904
1.621504
1.669543
2.217290
2.469343
2.483205
2.530603
2.787638
4.045179
5.266985
5.795114
2.00
5
Longitudinal speed ± 1 SD
(km/h)
3.00
0.02499
0.03749
0.04997
0.04999
0.06248
0.07491
0.07498
0.08326
0.98136
1.58590
1.62150
1.66954
2.21729
2.46934
2.48321
2.53060
2.78764
4.04518
5.26698
5.79511
Lateral position ± 1 SD (m)
Advances in Mechanical Engineering
Section number/corresponding CCRs
(f)
Figure 4: Trends of driving behaviors with the corresponding CCRs: (a) lateral position, (b) longitudinal speed, (c) longitudinal acceleration,
(d) lateral acceleration, (e) steering angel, and (f) braking times.
The driving performance profiles of all participants for
all sections were examined in this study. Based on different
CCRs sections, the trends of six driving behaviors were
profiled. Figure 4 shows the different trends. The preliminary
trend shows the lateral position increasing with the increase
of CCRs (Figure 4(a)). The average and standard deviation
of lateral position on section number 16 is the maximum.
Because it is a sharp curve (𝑅 = 200 m, CCR = 5.26698), the
subjects should keep the speed at 60 km/h, which leads not to
maintaining driving on the central lane or adjusting traveling
trajectory. There was a condition of acceleration on section
number 4 led by an oval alignment, long traveling route, and
easement curve. Therefore, the standard deviation of lane
position on this section is large. The variety of longitudinal
speed in section number 9 (CCR = 5.795114, Figure 4(b)) is
the maximum, which is an S type section (𝑅1 = 200 m, 𝑅2
= 360 m,). It was because this section required the subjects
to keep tracking the S type route and keep adjusting the
speeds to 60 km/h. In Figures 4(c) and 4(d), the trends of
maximum variety of longitudinal and lateral acceleration
were on sections number 16 and 9 because of their higher
CCRs. Figure 4(e) showed the trends of steering angle. As a
whole, the average and standard deviation of steering angle
increased with the CCRs. Results in Figure 4(f) is breaking
times trends, indicating how subjects controlled speed. More
incidents of hard braking occurred in the condition where the
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Advances in Mechanical Engineering
1.00
VD
0.80
0.60
0.02499
0.03749
0.04997
0.04999
0.06248
0.07491
0.07498
0.08326
0.98136
1.58590
1.62150
1.66954
2.21729
2.46934
2.48321
2.53060
2.78764
4.04518
5.26698
5.79511
0.40
Correlation results across the VD and CCRs indicated
that drivers’ visual attention demand was closely correlated
with the road geometric alignment, as expected.
A linear model and a quadratic model were obtained by
the regression analysis (Figure 6). In the models, the dependent variable is classified VD and the independent variable
is classified CCRs. The two models had good and similar
goodness of fit. The model formula of linear regression is
shown in formula (2), and quadratic model is shown in
formula (3) as follows:
CCRs of testing sections
Figure 5: Trends of VD on testing sections with different CCRs.
VDLinear = 0.585 + 0.027 × CCR
𝑅2 = 0.800,
VDQuadratic = 0.596 + 0.01 × CCR + 0.003 × CCR2 ,
𝑅2 = 0.830.
(2)
(3)
Mean classified VD
0.8
0.7
0.6
0.5
0.000
1.000
2.000
3.000
4.000
Mean classified CCRs
5.000
6.000
Observed
Linear
Quadratic
Figure 6: Fitting curves of classified CCRs and classified VD.
accelerating contexts produced on sections number 5, 4, and
9. In order to control appropriate speed, drivers must make
braking decisions and perform it.
3.2. Development of Visual Attention Demand Prediction Models. The mean ranks of Kruskal-Wallis nonparametric test for
subjects’ VD on 20 sections were significantly different, and
the test statistics (Chi-Square = 39.577, Asymp. Sig. = 0.004)
showed that the VD of different CCRs was different. There
was a correlation between VD and CCR. Trends of VD on
testing sections of different CCRs were shown in Figure 5. In
general, we preliminary concluded that the VD was positively
correlated with CCRs because of the increasing VD along
with the growth of CCRs.
To develop a prediction model of VD, we classified the
CCRs by the same type alignment or similar value of CCR and
calculated the corresponding average VD (shown in Table 2).
The 20 test sections were classified by 11 kinds of sections. The
average value was defined as the classified value.
3.3. Interaction among Visual Attention Demand, Driving
Behaviors, and CCRs. Correlation analyses were conducted
to identify relations among visual attention demand, driving
behaviors, and CCRs (Table 3). Nonparametric correlation
analyses were used because of the fact that the observations
of the measures were not all normal (correlation coefficients
were noted by Spearman’s 𝜌). From the correlation results
across the VD to driving performances and CCRs, we
concluded that there were close correlations among them.
In the table, the parameters with noncorrelation were greyshaded. These parameters were mainly longitudinal driving
performances including longitudinal speed and acceleration.
In addition, the braking times were noncorrelated with the
VD.
4. Discussion
From an experiment design perspective, the manipulations
of roadway alignments and visual attention demands were
successful. Based on the results of driving performances, it
appears that driving performance can be effectively influenced by the highway alignment. Previous studies have
mainly paid close attention to speed [21, 22]. Although it is
simple and direct, we cannot find out the influences on other
driving behaviors. In this study, the driving performance
including lateral and longitudinal behaviors showed trends
variance with different alignment sections. The differences of
lateral position, longitudinal speed, longitudinal and lateral
acceleration, steering angle, and braking times conformed
that highway alignment resulted in different driving performances. Although we should acknowledge that the differences’ results were induced partially by drivers’ driving style,
the CCRs were the main influencing factor. In the present
study, we found that these differences occurred when drivers
were engaged in tracking the geometry alignment while
driving on highways without traffic. Under the experimental
conditions with the control of the speed of 60 km/h, the
lateral position was influenced by the CCR, small radius
sections, and acceleration condition. The CCR positively
influenced the lateral speed and acceleration, steering wheel
angle, and brake behavior, while significantly negatively
Advances in Mechanical Engineering
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Table 2: Classified CCRs and classified VD on different alignment types sections.
Number
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
Section number
12
8
15
1
10
13
17
3
5
14
6
20
4
18
7
19
11
2
16
9
CCRs
0.02499
0.03749
0.07498
0.04999
0.04997
0.06245
0.07491
0.08326
0.98136
1.58590
1.62150
1.66954
2.21729
2.46934
2.48321
2.53060
2.78764
4.04518
5.26699
5.79511
influenced the longitudinal speed, not influencing the longitudinal acceleration. These results facilitated the study of the
mechanism of CCR affecting driving behaviors.
As would be expected, with the increasing of the complicity of highway geometry alignments characterized by CCRs,
the drivers’ visual attention demands increases too. In this
study, the relation between classified CCRs and VD was
confirmed. We classified the CCRs of 20 sections to 11 kinds
of similar roadways according to the driving task difficulties
and geometry alignments similarity. Two visual attention
demand prediction models revealed their relationship. The
goodness of fit of two models was 0.80 and 0.83, which
indicated that we have selected and classified the typical
geometric alignments. The drivers’ visual attention demands
were sensitive to the difference of CCRs and the difficulty of
driving tasks was also of high sensitivity. In the linear model,
minimal visual attention demand on a straight section was
0.585 (when CCR = 0), meaning the average threshold of
visual attention demands without dealing with the tracking.
The average threshold in quadratic model was 0.596. There
was not distinct difference. After constructing the model,
we also validated the model with on-road test. We tested
drivers’ visual attention demand on 7 sections in practice. The
validation showed the effectiveness of the models.
As mentioned in Section 3.3, there were interactions
among visual attention demands, driving behavior, and
CCRs. In general, the greater the CCR of section was, the
more the driver’s visual attention demand was, and the more
difficult the driving task was. The positive coefficient of the
driving performance’s indicator variable corresponding to
CCRs indicated that the driving behaviors were influenced
by the difficulty of driving task. The driving performance’s
VD
0.5365
0.5626
0.5631
0.6244
0.6123
0.6175
0.6170
0.6261
0.5772
0.6148
0.5945
0.5799
0.6565
0.6248
0.6863
0.6422
0.6530
0.6712
0.7701
0.73060
Classified VD
Classified CCRs
0.04686
0.5717
0.06244
0.6156
0.08326
0.98136
0.6261
0.5772
1.62565
0.5964
2.21729
0.6565
2.49438
0.6511
2.78764
4.04518
5.26699
5.79511
0.6530
0.6712
0.7701
0.7306
indicator variable except the breaking times was positively
correlated with the drivers’ visual attention demands. The
reason was that the subjects automated on breaking control. The automation of breaking may help the driver, for
example, in conditions where environmental demands are
high [23]. In their interaction relationship, we found that
the longitudinal speed did not correlate with breaking times,
and the longitudinal acceleration did not correlate with the
other parameters except for the VD. It was because the
subjects couldn’t control their speed of 60 km/h appropriately
according to the experiment requirement, and then induced
some problems of driving behaviors.
What is the influence of VD on driving performance?
Although we found some correlations between VD and
the driving performance, we couldn’t find their quantitative
relationship and model in common statistical analysis; we
should study the mechanism of the VD influencing the
driving behaviors.
5. Conclusions
In conclusion, the present study highlighted the relationship
among the CCRs, the drivers’ visual attention demand,
and the driving performances on a divided two-lane rural
highways. The driving performance can be effectively influenced by the highway alignment. Significant differences were
found in drivers’ behaviors while driving in different CCR
sections. The present study concentrated on the model for the
prediction of the drivers’ visual attention demands based on
the measures of different curvature change rates. In general,
the more complicated the highway geometry alignment is, the
∗∗
0.715∗∗
0.000
0.203∗∗
0.000
0.791∗∗
0.000
−0.202∗∗
0.000
0.731∗∗
0.000
0.030
0.532
0.842∗∗
0.000
0.171∗∗
0.000
0.840∗∗
0.000
429
0.221∗∗
0.000
0.146∗∗
0.002
0.234∗∗
0.000
0.104∗
0.032
0.216∗∗
0.000
0.065
0.178
0.204∗∗
0.000
429
0.703∗∗
0.000
429
−0.010
0.832
0.620∗∗
0.000
−0.178∗∗
0.000
1.000
⋅
0.791∗∗
0.000
1.000
⋅
0.241∗∗
0.000
0.221∗∗
0.000
Lateral position
0.241∗∗
0.000
CCRs
1.000
⋅
VD
−0.135∗∗
0.005
429
0.057
0.239
−0.080
0.096
−0.002
0.968
0.129∗∗
0.008
1.000
⋅
−0.178∗∗
0.000
−0.202∗∗
0.000
0.146∗∗
0.002
Longitudinal speed
0.908∗∗
0.000
429
0.223∗∗
0.000
0.885∗∗
0.000
0.087
0.072
1.000
⋅
0.129∗∗
0.008
0.620∗∗
0.000
0.731∗∗
0.000
0.234∗∗
0.000
Lateral speed
Correlation is significant at the 0.01 level (2-tailed); ∗ correlation is significant at the 0.05 level (2-tailed).
VD
Correlation coefficient
Sig. (2-tailed)
CCRs
Correlation coefficient
Sig. (2-tailed)
lateral position
Correlation coefficient
Sig. (2-tailed)
Longitudinal speed
Correlation coefficient
Sig. (2-tailed)
Lateral speed
Correlation coefficient
Sig. (2-tailed)
Longitudinal acceleration
Correlation coefficient
Sig. (2-tailed)
Lateral acceleration
Correlation coefficient
Sig. (2-tailed)
Braking times
Correlation coefficient
Sig. (2-tailed)
Steering angel
Correlation coefficient
Sig. (2-tailed)
𝑁
0.080
0.097
429
−0.012
0.809
0.050
0.303
1.000
⋅
0.087
0.072
−0.002
0.968
−0.010
0.832
0.030
0.532
0.104∗
0.032
Longitudinal acceleration
0.984∗∗
0.000
429
0.160∗∗
0.001
1.000
⋅
0.050
0.303
0.885∗∗
0.000
−0.080
0.096
0.715∗∗
0.000
0.842∗∗
0.000
0.216∗∗
0.000
Lateral acceleration
Table 3: The results of Non-parametric correlation analyses among VD, CCR and driving performance variables.
0.163∗∗
0.001
429
1.000
⋅
0.160∗∗
0.001
−0.012
0.809
0.223∗∗
0.000
0.057
0.239
0.203∗∗
0.000
0.171∗∗
0.000
0.065
0.178
Braking times
1.000
⋅
429
0.163∗∗
0.001
0.984∗∗
0.000
0.080
0.097
0.908∗∗
0.000
−0.135∗∗
0.005
0.703∗∗
0.000
0.840∗∗
0.000
0.204∗∗
0.000
Steering angel
8
Advances in Mechanical Engineering
Advances in Mechanical Engineering
more the drivers’ visual attention demand will be occupied.
The interactions among visual attention demands, driving
behavior, and CCRs were also found.
The findings of these results may contribute to the highway’s geometric alignment design and the drivers’ behavior
model. In the future, to improve the prediction model, we
should enlarge the subjects and the geometric alignment.
Future research should consider how to explore the actual
relationship between factors in more detail and more precisely, for example, the prediction model of driving performances influencing the drivers’ visual attention.
Conflict of Interests
The authors do not have any conflict of interests regarding the
content of the paper.
Acknowledgments
The work described in this paper was partially funded by
Natural Science Foundation of China under the contract
number 71361016, and the applied fundamental science
research project in Yunnan province under the contract
number 2010CD043. The authors would like to thank their
participants for the involvement in the experiment. The
experiments were carried out at the Road Traffic Driving
Simulation Laboratory at the Kunming University of Science
and Technology.
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