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内容概要:本文研究了‘保持右侧行驶除超车外’这一交通规则对道路安全和交通流量的影响。通过建立四个模型,作者分析了不同交通条件下的效果,提出了新的优化规则以及智能系统的应用。第一个模型建立了交通参数与指标之间的关系,探讨了交通安全与流量之间的权衡;第二个模型通过模拟验证了现有规则的有效性,并提出了改进规则;第三个模型讨论了驾驶左侧和右侧的区别;第四个模型构建了一个智能系统模型,展示了其在提升交通效率方面的作用。 适合人群:交通运输专业的研究人员、交通管理部门的技术人员。 使用场景及目标:用于制定和优化交通规则,提高道路交通的安全性和效率,减少交通事故,提高通行能力。 阅读建议:该文章详细分析了各个模型的设计和结果,对于深入了解交通管理理论和技术有重要参考价值,特别关注交通流量、安全性和智能交通系统的章节。
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Team Control Number
For office use only
28079
For office use only
T1 _______________
F1 _______________
T2 _______________
F2 _______________
T3 _______________
F3 _______________
T4 _______________
Problem Chosen
F4 _______________
A
2014 Mathematical Contest in Modeling (MCM) Summary Sheet
Summary
Team # 28079 Page 1 of 35
The Better Traffic Rule
Contents
1 Introduction.............................................................................................................. 0
2 Nomenclatures.......................................................................................................... 4
3 Model One:Relation of traffic parameters and indexes .................................... 5
3.1 Introduction .................................................................................................... 5
3.2 Terminology .................................................................................................... 5
3.3 Assumptions ................................................................................................... 6
3.4 The tradeoffs between traffic flow and safety ................................................ 6
3.3.1 The quantification of safety .................................................................... 6
3.3.2 Determination of the safety distance ...................................................... 6
3.3.3 Analysis of flow and safety .................................................................... 7
3.4 The role of speed limit .................................................................................... 8
4 Model Two:How the rule affects traffic ............................................................ 10
4.1 Introduction .................................................................................................. 10
4.2 Assumption ................................................................................................... 10
4.3 Analysis ........................................................................................................ 10
4.3.1 Constraints ............................................................................................ 10
4.3.2 Analysis of overtaking .......................................................................... 11
4.3.3 Analysis of time headway ..................................................................... 12
4.3.4 Vehicle following model ....................................................................... 13
4.4 Model Building ............................................................................................. 14
4.5 Simulation and conclusion ............................................................................ 15
4.5.1 The setting of parameters ...................................................................... 15
4.5.2 Analysis and Conclusion ...................................................................... 17
4.6 New rules to raise traffic flow ...................................................................... 24
5 Model Three:Traveling on the left ..................................................................... 25
5.1 Introduction .................................................................................................. 25
5.2 The Coriolis force ......................................................................................... 25
Team # 28079 Page 2 of 35
5.3 The direction of the force ............................................................................. 26
5.4 Additional requirements ............................................................................... 27
5.5 Conclusion .................................................................................................... 29
6 Model Four:Intelligent system model ............................................................... 29
6.1 Introduction .................................................................................................. 29
6.2 Analysis ........................................................................................................ 29
6.3 Intelligent global optimal system ................................................................. 30
6.3.1 Model Building ..................................................................................... 30
6.3.2 Model Solution ..................................................................................... 30
6.3.3 Model Testing ....................................................................................... 31
6.4 The Intelligent system’s promotion in part of the road network .................. 32
6.4.1 Reduce the response time ..................................................................... 33
6.4.2 Increase the data size ............................................................................ 33
6.4.3 Control the velocity .............................................................................. 33
6.5 conclusion ..................................................................................................... 33
7 The Evaluation of Model ....................................................................................... 34
7.1 Strengths ....................................................................................................... 34
7.2 Weaknesses ................................................................................................... 34
8 References ............................................................................................................... 35
Team # 28079 Page 3 of 35
1 Introduction
Generally, overtaking takes place when a car is driven at a higher speed than the car before it.
In that way, the car can’t move at the speed it expected, so it will try to exceed the car before
which academic term is overtaking. The drivers can drive their cars at a higher speed on the
highway in contrast to driving on the normal roads. However the phenomenon of overtaking
is ubiquity as a result of the personal factors of different drivers and the wide range of speed
limits.
It is dangerous to overtake cars for lots of factors affect the process like the way of overtaking,
the reaction time of driver and environment factors, etc. Also overtaking will affect the traffic
on the highway because of it need time to adjust when a car exceeds another through which
might lead to partial blockage and even traffic jam.
In countries where driving automobile on the right is the rule (that is, USA, China and most
other countries except for Great Britain Australia and some former British colonies),
multi-lane freeways often employ a rule that requires drivers to driver in the right-most lane
unless they are passing another vehicle to ensure the safety of drivers driving on the freeway
and the traffic of the freeway. As the tradition rule, it is important to improve safety and
traffic.
Things change as time passes by. Nowadays there are more and more cars but the number of
roads and highways didn’t catch the pace. So it is common to see the traffic jam on the roads.
It inspires us start to think about: How does ‘The Keep-Right-Except-To-Pass-Rule’ influence
the traffic on the road? What does the speed limit do? Is there any other improved rule or
alternative rules that may cause better influence? What makes difference of driving on the
right and driving on the left?
In order to address problems above, we conclude four sub-problems to tackle in our paper:
Model building of the keep right except to pass rule to simulate the traffic. Find out the
relation between the safety and flow, the role of speed limit and other factors that may be
important.
Finding out improved rule or alternative rules that may have better influence.
Model building and analysis the influence of rules in the situation of driving automobile
on the left and find out what change should be make.
Model building of the intelligent transportation system and analysis what changes it
brings to the traffic.
Team # 28079 Page 4 of 35
2 Nomenclatures
Vehicle
headway
X
headway
t
v
S
MSS
Q
1
S
2
S
a
a
t
min
h
f
v
max
v
s
h
V
n
p
1rule
overtake
v
change
v
a
a
e
a
r
a
C
a
C
F
G
i
v
ij
w
ij
d
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