CN109360414B - Identification and screening methods of frequently congested road sections - Google Patents

Identification and screening methods of frequently congested road sections Download PDF

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CN109360414B
CN109360414B CN201811085797.4A CN201811085797A CN109360414B CN 109360414 B CN109360414 B CN 109360414B CN 201811085797 A CN201811085797 A CN 201811085797A CN 109360414 B CN109360414 B CN 109360414B
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高自友
杨珍珍
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Beijing Jiaotong University
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    • G08SIGNALLING
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    • GPHYSICS
    • G08SIGNALLING
    • G08GTRAFFIC CONTROL SYSTEMS
    • G08G1/00Traffic control systems for road vehicles
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    • G08GTRAFFIC CONTROL SYSTEMS
    • G08G1/00Traffic control systems for road vehicles
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Abstract

本发明提供了常发拥堵路段的识别和筛查方法,包括:获取历史拥堵数据,统计某个路段每天的累计拥堵时长,确定所述路段累计拥堵时长服从的概率分布,计算路段累计拥堵时长的可靠度,当可靠度超过设定阈值ε1时,则判断所述路段为常发拥堵路段;在给定可靠度的情况下,根据路段累计拥堵时长服从的概率分布,计算路段的给定可靠度的累计拥堵时长,当给定可靠度的累计拥堵时长超过设定阈值ε2,则判断路段为常发拥堵路段。本发明通过计算路段累计拥堵时长超过期望阈值T0的可靠度或在给定可靠度情况下计算给定可靠度的累计拥堵时长分别来判断是否为常发拥堵路段来判断,为交通管理部门筛查常发拥堵路段提供了准确有力的科学依据。

Figure 201811085797

The present invention provides a method for identifying and screening frequently-occurring congested road sections, including: obtaining historical congestion data, counting the daily cumulative congestion time of a certain road section, determining the probability distribution that the cumulative congestion time of the road section obeys, and calculating the cumulative congestion time of the road section. Reliability, when the reliability exceeds the set threshold ε 1 , it is judged that the road section is a frequently congested road section; in the case of a given reliability, the given reliability of the road section is calculated according to the probability distribution obeyed by the cumulative congestion duration of the road section When the cumulative congestion time of a given reliability exceeds the set threshold ε 2 , it is judged that the road section is a frequently congested road section. The present invention determines whether it is a frequently congested road section by calculating the reliability that the accumulated congestion duration of the road section exceeds the expected threshold value T 0 or calculating the cumulative congestion duration of the given reliability under the condition of a given reliability. Investigating the congested road sections in Changfa provides an accurate and powerful scientific basis.

Figure 201811085797

Description

常发拥堵路段的识别和筛查方法Identification and screening methods of frequently congested road sections

技术领域technical field

本发明涉及交通信息处理技术领域,尤其涉及常发拥堵路段的识别和筛查方法。The invention relates to the technical field of traffic information processing, in particular to a method for identifying and screening frequently congested road sections.

背景技术Background technique

交通拥堵是各大城市正面临的问题,主要包括偶发拥堵和常发拥堵。偶发拥堵是由突发事件导致,常发拥堵通常是由于交通供需不均,道路网络存在缺陷等原因导致。例如,交通规划与城市发展不协调、互通立交匝道设计通行能力不足、高等级道路与低等级道路结合处车道数减少、路口间距过大、掉头设置不合理和交叉口信号灯配时不佳。对路网的常发拥堵路段进行识别和筛查,一方面能够为城市疏堵工程提供改造项目库,为交通管理部门提供预警信息,及时采取应对措施,利用先进的交通管控措施和智能诱导信息疏导拥堵交通;另一方面,能够发现道路网络规划中的不合理之处,为交通和建设部门重新规划道路线形、改进道路基础设施等提供科学依据。常发拥堵路段具有一定的规律性和可预见性,但是,目前仍然缺乏成熟可靠的量化常发拥堵路段的方法。Traffic congestion is a problem that major cities are facing, mainly including occasional congestion and frequent congestion. Occasional congestion is caused by emergencies, and frequent congestion is usually caused by uneven traffic supply and demand, defects in the road network and other reasons. For example, traffic planning is not in harmony with urban development, the design capacity of interchange ramps is insufficient, the number of lanes at the junction of high-grade roads and low-grade roads is reduced, the distance between intersections is too large, the setting of U-turns is unreasonable, and the timing of intersection signals is poor. Identifying and screening frequently congested sections of the road network, on the one hand, can provide a reconstruction project library for urban congestion relief projects, provide early warning information for traffic management departments, take timely countermeasures, and use advanced traffic control measures and intelligent guidance information. Relieve traffic jams; on the other hand, it can find unreasonable points in road network planning, and provide scientific basis for traffic and construction departments to re-plan road alignment and improve road infrastructure. Frequently congested road sections have certain regularity and predictability, but there is still a lack of mature and reliable methods for quantifying frequently congested road sections.

现有的常发拥堵路段识别方法主要包括:The existing identification methods of frequently-occurring congested road sections mainly include:

第一种方法是将常发拥堵路段分为日拥堵路段、周常发拥堵路段、月常发拥堵路段和年常发拥堵路段。日拥堵路段指高峰时段内,1小时(含)以上处于第5级平均区间速度的路段,按早高峰时段和晚高峰时段分别进行统计;周常发拥堵路段指一周5个工作日内,至少4天为日拥堵路段,按早高峰时段和晚高峰时段分别进行统计;月常发拥堵路段指一月4个周内,至少3周为周常发拥堵路段,按早高峰时段和晚高峰时段分别进行统计;年常发拥堵路段指一年12个月内,至少6个月为月常发拥堵路段,按早高峰时段和晚高峰时段分别进行统计。The first method is to divide the frequently congested road sections into daily congested sections, weekly congested sections, monthly congested sections and annual congested sections. Daily congested road section refers to the road section that is at the fifth-level average interval speed for more than 1 hour (inclusive) during peak hours, and counts according to the morning rush hour and evening rush hour. It is a daily congested road section, which is counted according to the morning rush hour and evening rush hour; the monthly congested road section refers to the weekly congested road section for at least 3 weeks within 4 weeks of January, and the statistics are calculated according to the morning rush hour and evening rush hour; Annually congested road sections refer to the monthly congested road sections for at least 6 months within 12 months of a year, and statistics are calculated according to the morning peak hours and evening peak hours.

第二种统计方法是在高峰时间段内,将各个路段的拥堵累计时间周期数量除以总高峰时间段周期数量,该百分比反映高峰期间常态的拥堵情况。在快速路上,百分比大于25%为常发拥堵路段;在主次干路上,百分比大于30%为常发拥堵路段。The second statistical method is to divide the cumulative number of time periods of congestion for each road segment by the total number of periods of peak time periods during peak hours, and this percentage reflects the normal congestion during peak hours. On expressways, if the percentage is greater than 25%, it is a frequently congested section; on the main and secondary arterial roads, if the percentage is greater than 30%, it is a frequently congested section.

目前的常发拥堵路段识别方法仅考虑高峰时间段内的拥堵,不能识别路段每天的整体拥堵程度,且没有考虑拥堵的波动性。由于路段的拥堵时长具有差异性和波动性,因此,现有技术中很难识别和筛查出拥堵时间短、可靠度低的常发拥堵路段。The current identification methods of frequently congested road sections only consider the congestion during peak hours, and cannot identify the overall congestion level of the road section every day, and do not consider the volatility of congestion. Due to differences and fluctuations in the congestion duration of road sections, it is difficult to identify and screen out frequently congested road sections with short congestion time and low reliability in the prior art.

发明内容SUMMARY OF THE INVENTION

本发明的实施例提供了常发拥堵路段的识别和筛查方法,以解决以上问题。Embodiments of the present invention provide methods for identifying and screening frequently congested road sections to solve the above problems.

为了实现上述目的,本发明采取了如下技术方案。In order to achieve the above objects, the present invention adopts the following technical solutions.

根据本发明的一个方面,提供了一种常发拥堵路段的识别和筛查方法,包括:According to an aspect of the present invention, a method for identifying and screening frequently congested road sections is provided, including:

获取历史拥堵数据,统计某个路段每天的累计拥堵时长;Obtain historical congestion data, and count the cumulative congestion time of a road section every day;

根据所述的某个路段的累计拥堵时长,确定所述路段累计拥堵时长服从的概率分布;According to the cumulative congestion duration of a certain road section, determine the probability distribution that the cumulative congestion duration of the road section obeys;

在给定所述路段累计拥堵时长的情况下,根据所述路段累计拥堵时长服从的概率分布,计算所述路段累计拥堵时长的可靠度,当所述路段累计拥堵时长的可靠度超过设定阈值ε1时,则判断所述路段为常发拥堵路段。Given the cumulative congestion time of the road section, the reliability of the cumulative congestion time of the road section is calculated according to the probability distribution obeyed by the cumulative congestion time of the road section. When the reliability of the cumulative congestion time of the road section exceeds the set threshold When ε is 1 , it is determined that the road section is a frequently congested road section.

优选地,所述的获取历史拥堵数据,统计某个路段每天的累计拥堵时长,包括:Preferably, the obtaining of historical congestion data and statistics of the accumulated congestion duration of a certain road section every day include:

所述某个路段每天的累计拥堵时长根据如下公式计算:The daily accumulated congestion time of a certain road section is calculated according to the following formula:

Figure BDA0001803074640000031
Figure BDA0001803074640000031

其中,βi为路段i在一天内的累计拥堵时长,αi,j表示路段i在时刻j·Δ是否拥堵的状态,j=1,2,…,M,M表示对比时间段内的周期数,Δ表示数据的采样间隔,如果路段i在时刻j·Δ拥堵,则αi,j=1;如果不拥堵,则αi,j=0。Among them, β i is the accumulated congestion duration of road segment i in one day, α i, j represents whether road segment i is congested at time j·Δ, j=1, 2, ..., M, M represents the period in the comparison time period number, Δ represents the sampling interval of the data, if the road segment i is congested at time j·Δ, then α i,j =1; if it is not congested, then α i,j =0.

优选地,所述的根据所述的某个路段的累计拥堵时长,确定所述路段累计拥堵时长服从的概率分布,包括:Preferably, according to the cumulative congestion duration of a certain road section, determining the probability distribution that the cumulative congestion duration of the road section obeys, including:

根据所述的某个路段的累计拥堵时长,确定所述路段累计拥堵时长服从的概率分布为正态分布,

Figure BDA0001803074640000032
其中μi为路段累计拥堵时长的均值,
Figure BDA0001803074640000033
为路段累计拥堵时长的方差;According to the cumulative congestion duration of a certain road section, it is determined that the probability distribution obeyed by the cumulative congestion duration of the road section is a normal distribution,
Figure BDA0001803074640000032
where μ i is the mean value of the accumulated congestion duration of the road segment,
Figure BDA0001803074640000033
is the variance of the accumulated congestion duration of the road segment;

所述的均值μi和方差

Figure BDA0001803074640000034
根据如下公式计算:The mean μ i and variance
Figure BDA0001803074640000034
Calculated according to the following formula:

Figure BDA0001803074640000035
Figure BDA0001803074640000035

Figure BDA0001803074640000036
Figure BDA0001803074640000036

其中,(βi,1,βi,2,…,βi,n)是总体的一组样本,n为样本量;Among them, (β i, 1 , β i, 2 , ..., β i, n ) is a group of samples of the population, and n is the sample size;

根据如下概率分布公式计算所述路段累计拥堵时长服从的概率分布:According to the following probability distribution formula, calculate the probability distribution obeyed by the cumulative congestion duration of the road section:

Figure BDA0001803074640000037
Figure BDA0001803074640000037

Figure BDA0001803074640000038
Figure BDA0001803074640000038

其中,P{a<βi≤b}为路段i的累计拥堵时长βi在区间(a,b]的概率,f(x)为βi的概率密度函数,Φ(·)表示标准正态分布的分布函数,a和b为设定的时间段阈值。Among them, P{a<β i ≤b} is the probability that the accumulated congestion duration β i of the road segment i is in the interval (a, b), f(x) is the probability density function of β i , and Φ(·) represents the standard normal The distribution function of the distribution, a and b are the set time period thresholds.

优选地,所述的在给定路段累计拥堵时长的情况下,根据所述路段累计拥堵时长服从的概率分布,计算所述路段累计拥堵时长的可靠度,包括:Preferably, in the case of the cumulative congestion duration of a given road section, according to the probability distribution obeyed by the cumulative congestion duration of the road section, the reliability of the cumulative congestion duration of the road section is calculated, including:

所述路段累计拥堵时长的可靠度根据如下公式计算:The reliability of the accumulated congestion duration of the road section is calculated according to the following formula:

Figure BDA0001803074640000041
Figure BDA0001803074640000041

P{βi>T0}为路段i的累计拥堵时长βi大于期望阈值T0的概率,将P{βi>T0}作为所述路段累计拥堵时长的可靠度。P{β i >T 0 } is the probability that the cumulative congestion duration β i of the road segment i is greater than the expected threshold T 0 , and P{β i >T 0 } is used as the reliability of the cumulative congestion duration of the road segment.

根据本发明的另一个方面,提供了一种常发拥堵路段的识别和筛查方法,包括:According to another aspect of the present invention, a method for identifying and screening frequently congested road sections is provided, including:

获取历史拥堵数据,统计某个路段每天的累计拥堵时长;Obtain historical congestion data, and count the cumulative congestion time of a road section every day;

根据所述的某个路段的累计拥堵时长,确定所述路段累计拥堵时长服从的概率分布;According to the cumulative congestion duration of a certain road section, determine the probability distribution that the cumulative congestion duration of the road section obeys;

在给定可靠度的情况下,根据所述路段累计拥堵时长服从的概率分布,计算所述路段的给定可靠度的累计拥堵时长,当计算出的所述路段的给定可靠度的累计拥堵时长超过设定阈值ε2,则判断所述路段为常发拥堵路段。In the case of a given reliability, according to the probability distribution that the cumulative congestion duration of the road section obeys, the cumulative congestion duration of the given reliability of the road section is calculated. When the calculated cumulative congestion of the given reliability of the road section is calculated When the duration exceeds the set threshold ε 2 , it is determined that the road section is a frequently congested road section.

优选地,所述的S10获取历史拥堵数据,统计某个路段每天的累计拥堵时长,包括:Preferably, the S10 obtains historical congestion data, and counts the accumulated congestion duration of a certain road section every day, including:

所述某个路段每天的的累计拥堵时长根据如下公式计算:The daily accumulated congestion time of a certain road section is calculated according to the following formula:

Figure BDA0001803074640000042
Figure BDA0001803074640000042

其中,βi为路段i在一天内的累计拥堵时长,αi,j表示路段i在时刻j·Δ是否拥堵的状态,j=1,2,…,M,M表示对比时间段内的周期数,Δ表示数据的采样间隔,如果路段i在时刻j·Δ拥堵,则αi,j=1;如果不拥堵,则αi,j=0。Among them, β i is the accumulated congestion duration of road segment i in one day, α i, j represents whether road segment i is congested at time j·Δ, j=1, 2, ..., M, M represents the period in the comparison time period number, Δ represents the sampling interval of the data, if the road segment i is congested at time j·Δ, then α i,j =1; if it is not congested, then α i,j =0.

优选地,所述的根据所述的某个路段的累计拥堵时长,确定所述路段累计拥堵时长服从的概率分布,包括:Preferably, according to the cumulative congestion duration of a certain road section, determining the probability distribution that the cumulative congestion duration of the road section obeys, including:

根据所述的某个路段的累计拥堵时长,确定所述路段累计拥堵时长服从的概率分布为正态分布,

Figure BDA0001803074640000043
其中μi为路段累计拥堵时长的均值,
Figure BDA0001803074640000044
为路段累计拥堵时长的方差;According to the cumulative congestion duration of a certain road section, it is determined that the probability distribution obeyed by the cumulative congestion duration of the road section is a normal distribution,
Figure BDA0001803074640000043
where μ i is the mean value of the accumulated congestion duration of the road segment,
Figure BDA0001803074640000044
is the variance of the accumulated congestion duration of the road segment;

所述的均值μi和方差

Figure BDA0001803074640000045
根据如下公式计算:The mean μ i and variance
Figure BDA0001803074640000045
Calculated according to the following formula:

Figure BDA0001803074640000051
Figure BDA0001803074640000051

Figure BDA0001803074640000052
Figure BDA0001803074640000052

其中,(βi,1,βi,2,…,βi,n)是总体的一组样本,n为样本量;Among them, (β i, 1 , β i, 2 , ..., β i, n ) is a group of samples of the population, and n is the sample size;

根据如下概率分布公式计算所述路段累计拥堵时长服从的概率分布:According to the following probability distribution formula, calculate the probability distribution obeyed by the cumulative congestion duration of the road section:

Figure BDA0001803074640000053
Figure BDA0001803074640000053

Figure BDA0001803074640000054
Figure BDA0001803074640000054

其中,P{a<βi≤b}为路段i的累计拥堵时长βi在区间(a,b]的概率,f(x)为βi的概率密度函数,Φ(·)表示标准正态分布的分布函数。Among them, P{a<β i ≤b} is the probability that the accumulated congestion duration β i of the road segment i is in the interval (a, b), f(x) is the probability density function of β i , and Φ(·) represents the standard normal The distribution function of the distribution.

优选地,所述的在给定可靠度的情况下,根据所述路段累计拥堵时长服从的概率分布,计算所述路段的给定可靠度θ的累计拥堵时长,包括:Preferably, in the case of a given reliability, according to the probability distribution obeyed by the accumulated congestion time of the road segment, calculating the cumulative congestion duration of the given reliability θ of the road segment, including:

所述路段的给定可靠度θ的累计拥堵时长βi根据如下公式计算:The cumulative congestion duration β i of the given reliability θ of the road section is calculated according to the following formula:

βi=Φ-1(1-θ)·σii (7)β i-1 (1-θ)·σ ii (7)

其中,Φ-1(·)表示正态分布累积概率密度函数的反函数,可靠度为θ。Among them, Φ -1 (·) represents the inverse function of the cumulative probability density function of the normal distribution, and the reliability is θ.

由上述本发明的实施例提供的技术方案可以看出,本发明实施例的常发拥堵路段的识别和筛查方法,利用交通大数据,统计分析路段累计拥堵时长的概率分布,计算路段累计拥堵时长超过期望阈值的概率,以及给定可靠度情况下路段的拥堵时长,为交通管理部门筛查常发拥堵路段提供了准确有力的科学依据。From the technical solutions provided by the above embodiments of the present invention, it can be seen that the method for identifying and screening frequently congested road sections according to the embodiments of the present invention utilizes traffic big data to statistically analyze the probability distribution of the cumulative congestion duration of the road section, and calculate the cumulative congestion time of the road section. The probability that the duration exceeds the expected threshold, as well as the congestion duration of the road section under a given reliability, provides an accurate and powerful scientific basis for the traffic management department to screen frequently congested road sections.

本发明附加的方面和优点将在下面的描述中部分给出,这些将从下面的描述中变得明显,或通过本发明的实践了解到。Additional aspects and advantages of the present invention will be set forth in part in the following description, which will be apparent from the following description, or may be learned by practice of the present invention.

附图说明Description of drawings

为了更清楚地说明本发明实施例的技术方案,下面将对实施例描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一个实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据此附图获得其他的附图。In order to illustrate the technical solutions of the embodiments of the present invention more clearly, the following briefly introduces the accompanying drawings used in the description of the embodiments. Obviously, the accompanying drawings in the following description are only an embodiment of the present invention. For those of ordinary skill in the art, other drawings can also be obtained based on this drawing without any creative effort.

图1为本发明实施例提供的常发拥堵路段的识别和筛查方法的处理流程图。FIG. 1 is a processing flowchart of a method for identifying and screening frequently congested road sections provided by an embodiment of the present invention.

具体实施方式Detailed ways

下面详细描述本发明的实施方式,所述实施方式的示例在附图中示出,下面通过参考附图描述的实施方式是示例性的,仅用于解释本发明,而不能解释为对本发明的限制。The embodiments of the present invention will be described in detail below, and examples of the embodiments are shown in the accompanying drawings. The embodiments described below with reference to the accompanying drawings are exemplary and are only used to explain the present invention, but not to be interpreted as an explanation of the present invention. limit.

本技术领域技术人员可以理解,除非特意声明,这里使用的单数形式“一”、“一个”、“所述”和“该”也可包括复数形式。应该进一步理解的是,本发明的说明书中使用的措辞“包括”是指存在所述特征、整数、步骤、操作、元件和/或组件,但是并不排除存在或添加一个或多个其他特征、整数、步骤、操作、元件、组件和/或它们的组。应该理解,当我们称元件被“连接”或“耦接”到另一元件时,它可以直接连接或耦接到其他元件,或者也可以存在中间元件。此外,这里使用的“连接”或“耦接”可以包括无线连接或耦接。这里使用的措辞“和/或”包括一个或更多个相关联的列出项的任一单元和全部组合。It will be understood by those skilled in the art that the singular forms "a", "an", "the" and "the" as used herein can include the plural forms as well, unless expressly stated otherwise. It should be further understood that the word "comprising" used in the description of the present invention refers to the presence of stated features, integers, steps, operations, elements and/or components, but does not exclude the presence or addition of one or more other features, Integers, steps, operations, elements, components and/or groups thereof. It will be understood that when we refer to an element as being "connected" or "coupled" to another element, it can be directly connected or coupled to the other element or intervening elements may also be present. Furthermore, "connected" or "coupled" as used herein may include wirelessly connected or coupled. As used herein, the term "and/or" includes any and all combinations of one or more of the associated listed items.

本技术领域技术人员可以理解,除非另外定义,这里使用的所有术语(包括技术术语和科学术语)具有与本发明所属领域中的普通技术人员的一般理解相同的意义。还应该理解的是,诸如通用字典中定义的那些术语应该被理解为具有与现有技术的上下文中的意义一致的意义,并且除非像这里一样定义,不会用理想化或过于正式的含义来解释。It will be understood by those skilled in the art that, unless otherwise defined, all terms (including technical and scientific terms) used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. It should also be understood that terms such as those defined in the general dictionary should be understood to have meanings consistent with their meanings in the context of the prior art and, unless defined as herein, are not to be taken in an idealized or overly formal sense. explain.

为便于对本发明实施例的理解,下面将结合附图以具体实施例为例做进一步的解释说明,且实施例并不构成对本发明实施例的限定。In order to facilitate the understanding of the embodiments of the present invention, the following will take specific embodiments as examples for further explanation and description in conjunction with the accompanying drawings, and the embodiments do not constitute limitations to the embodiments of the present invention.

实施例Example

图1为本发明实施例提供的常发拥堵路段的识别和筛查方法的处理流程图,参照图1,一种常发拥堵路段的识别和筛查方法,包括:1 is a process flow diagram of a method for identifying and screening frequently congested road sections provided by an embodiment of the present invention. Referring to FIG. 1 , a method for identifying and screening frequently congested road sections includes:

S10获取历史拥堵数据,统计某个路段每天的累计拥堵时长。S10 obtains historical congestion data, and counts the accumulated congestion time of a certain road section every day.

根据如下公式计算:Calculated according to the following formula:

Figure BDA0001803074640000071
Figure BDA0001803074640000071

其中,βi为路段i在一天内的累计拥堵时长,αi,j表示路段i在时刻j·Δ是否拥堵的状态,j=1,2,…,M,M表示对比时间段内的周期数,Δ表示数据的采样间隔。Among them, β i is the accumulated congestion duration of road segment i in one day, α i, j represents whether road segment i is congested at time j·Δ, j=1, 2, ..., M, M represents the period in the comparison time period number, Δ represents the sampling interval of the data.

示意性地,交通状态包括畅通、缓慢和拥堵三种。计算每条路段每天的累计拥堵时长。采样间隔为5分钟,则一天有288个采样周期。如果路段i在时刻j·Δ拥堵,则αi,j=1;如果不拥堵,则αi,j=0。Illustratively, the traffic state includes three types: smooth, slow, and congested. Calculate the daily accumulated congestion time of each road segment. If the sampling interval is 5 minutes, there are 288 sampling periods in one day. If the road segment i is congested at time j·Δ, then α i,j =1; if it is not congested, then α i,j =0.

S20根据所述的某个路段的累计拥堵时长,确定所述路段累计拥堵时长服从的概率分布。S20, according to the accumulated congestion duration of a certain road section, determine the probability distribution to which the accumulated congestion duration of the road section obeys.

进一步地,根据所述的某个路段的累计拥堵时长,确定所述路段累计拥堵时长服从的概率分布为正态分布,

Figure BDA0001803074640000072
即,βi服从数学期望为μi、方差为
Figure BDA0001803074640000073
的正态分布。其中μi为路段累计拥堵时长的均值,
Figure BDA0001803074640000074
为路段累计拥堵时长的方差,均值μi和方差
Figure BDA0001803074640000075
根据如下公式计算:Further, according to the cumulative congestion duration of a certain road section, it is determined that the probability distribution obeyed by the cumulative congestion duration of the road section is a normal distribution,
Figure BDA0001803074640000072
That is, β i obeys the mathematical expectation μ i , and the variance is
Figure BDA0001803074640000073
normal distribution. where μ i is the mean value of the accumulated congestion duration of the road segment,
Figure BDA0001803074640000074
is the variance of the accumulated congestion duration of the road segment, the mean μ i and the variance
Figure BDA0001803074640000075
Calculated according to the following formula:

Figure BDA0001803074640000076
Figure BDA0001803074640000076

Figure BDA0001803074640000077
Figure BDA0001803074640000077

其中,(βi,1,βi,2,…,βi,n)是总体的一组样本,n为样本量。Among them, (β i, 1 , β i, 2 , . . . , β i, n ) is a group of samples of the population, and n is the sample size.

计算路段的累计拥堵时长服从的概率分布,根据如下概率分布公式计算:Calculate the probability distribution that the cumulative congestion duration of the road section obeys, and calculate according to the following probability distribution formula:

Figure BDA0001803074640000081
Figure BDA0001803074640000081

进一步地,通过数据统计得到累计拥堵时长服从正态分布,

Figure BDA0001803074640000082
因此得到如下公式:Further, through the statistics of the data, it is obtained that the cumulative congestion duration obeys a normal distribution,
Figure BDA0001803074640000082
So the following formula is obtained:

Figure BDA0001803074640000083
Figure BDA0001803074640000083

其中,P{a<βi≤b}为路段i的累计拥堵时长βi在区间(a,b]的概率,f(x)为βi的概率密度函数,根据历史的累计拥堵时长拟合得到,Φ(·)表示标准正态分布的分布函数,a和b为设定的时间段阈值。Among them, P{a<β i ≤b} is the probability that the accumulated congestion duration β i of road segment i is in the interval (a, b), f(x) is the probability density function of β i , which is fitted according to the historical accumulated congestion duration Obtained, Φ(·) represents the distribution function of the standard normal distribution, and a and b are the set time period thresholds.

S31在给定所述路段累计拥堵时长的情况下,根据所述路段累计拥堵时长服从的概率分布,计算所述路段累计拥堵时长超过期望阈值的可靠度,当所述路段累计拥堵时长的可靠度超过设定阈值ε1时,则判断所述路段为常发拥堵路段。S31 Under the circumstance that the cumulative congestion duration of the road section is given, calculate the reliability that the cumulative congestion duration of the road section exceeds an expected threshold according to the probability distribution obeyed by the cumulative congestion duration of the road section, when the reliability of the cumulative congestion duration of the road section is calculated. When the set threshold ε 1 is exceeded, it is determined that the road section is a frequently congested road section.

计算所述路段累计拥堵时长的可靠度,根据如下公式计算:Calculate the reliability of the accumulated congestion duration of the road section according to the following formula:

Figure BDA0001803074640000084
Figure BDA0001803074640000084

P{βi>T0}为路段i的累计拥堵时长βi大于期望阈值T0的概率,将P{βi>T0}作为所述路段累计拥堵时长的可靠度。P{β i >T 0 } is the probability that the cumulative congestion duration β i of the road segment i is greater than the expected threshold T 0 , and P{β i >T 0 } is used as the reliability of the cumulative congestion duration of the road segment.

图1为本发明实施例提供的常发拥堵路段的识别和筛查方法的处理流程图,参照图1,还包括另外一种常发拥堵路段的识别和筛查方法,包括:1 is a processing flow chart of a method for identifying and screening frequently congested road sections provided by an embodiment of the present invention. Referring to FIG. 1 , another method for identifying and screening frequently occurring congested road sections is also included, including:

S10获取历史拥堵数据,统计某个路段每天的累计拥堵时长。S10 obtains historical congestion data, and counts the accumulated congestion time of a certain road section every day.

根据如下公式计算:Calculated according to the following formula:

Figure BDA0001803074640000085
Figure BDA0001803074640000085

其中,βi为路段i在一天内的累计拥堵时长,αi,j表示路段i在时刻j·Δ是否拥堵的状态,j=1,2,…,M,M表示对比时间段内的周期数,Δ表示数据的采样间隔。Among them, β i is the accumulated congestion duration of road segment i in one day, α i, j represents whether road segment i is congested at time j·Δ, j=1, 2, ..., M, M represents the period in the comparison time period number, Δ represents the sampling interval of the data.

示意性地,交通状态包括畅通、缓慢和拥堵三种。计算每条路段每天的累计拥堵时长。采样间隔为5分钟,则一天有288个采样周期。如果路段i在时刻j·Δ拥堵,则αi,j=1;如果不拥堵,则αi,j=0。Illustratively, the traffic state includes three types: smooth, slow, and congested. Calculate the daily accumulated congestion time of each road segment. If the sampling interval is 5 minutes, there are 288 sampling periods in one day. If the road segment i is congested at time j·Δ, then α i,j =1; if it is not congested, then α i,j =0.

S20根据所述的某个路段的累计拥堵时长,确定所述路段累计拥堵时长服从的概率分布。S20, according to the accumulated congestion duration of a certain road section, determine the probability distribution to which the accumulated congestion duration of the road section obeys.

进一步地,根据所述的某个路段的累计拥堵时长,确定所述路段累计拥堵时长服从的概率分布为正态分布,

Figure BDA0001803074640000091
其中μi为路段累计拥堵时长的均值,
Figure BDA0001803074640000092
为路段累计拥堵时长的方差,均值μi和方差
Figure BDA0001803074640000093
根据如下公式计算:Further, according to the cumulative congestion duration of a certain road section, it is determined that the probability distribution obeyed by the cumulative congestion duration of the road section is a normal distribution,
Figure BDA0001803074640000091
where μ i is the mean value of the accumulated congestion duration of the road segment,
Figure BDA0001803074640000092
is the variance of the accumulated congestion duration of the road segment, the mean μ i and the variance
Figure BDA0001803074640000093
Calculated according to the following formula:

Figure BDA0001803074640000094
Figure BDA0001803074640000094

Figure BDA0001803074640000095
Figure BDA0001803074640000095

其中,(βi,1,βi,2,…,βi,n)是总体的一组样本,n为样本量。Among them, (β i, 1 , β i, 2 , . . . , β i, n ) is a group of samples of the population, and n is the sample size.

计算路段的累计拥堵时长服从的概率分布,根据如下概率分布公式计算:Calculate the probability distribution that the cumulative congestion duration of the road section obeys, and calculate according to the following probability distribution formula:

Figure BDA0001803074640000096
Figure BDA0001803074640000096

进一步地,通过数据统计得到累计拥堵时长服从正态分布,

Figure BDA0001803074640000097
因此得到如下公式:Further, through the statistics of the data, it is obtained that the cumulative congestion duration obeys a normal distribution,
Figure BDA0001803074640000097
So the following formula is obtained:

Figure BDA0001803074640000098
Figure BDA0001803074640000098

其中,P{a<βi≤b}为路段i的累计拥堵时长βi在区间(a,b]的概率,f(x)为βi的概率密度函数,根据历史的累计拥堵时长拟合得到,Φ(·)表示标准正态分布的分布函数。Among them, P{a<β i ≤b} is the probability that the accumulated congestion duration β i of road segment i is in the interval (a, b), f(x) is the probability density function of β i , which is fitted according to the historical accumulated congestion duration Obtained, Φ(·) represents the distribution function of the standard normal distribution.

S32在给定可靠度的情况下,根据所述路段累计拥堵时长服从的概率分布,计算所述路段的给定可靠度的累计拥堵时长,当计算出的所述路段的给定可靠度的累计拥堵时长超过设定阈值ε2,则判断所述路段为常发拥堵路段。S32 In the case of a given reliability, according to the probability distribution obeyed by the cumulative congestion duration of the road section, calculate the cumulative congestion duration of the given reliability of the road section, when the calculated cumulative congestion duration of the given reliability of the road section is calculated When the congestion duration exceeds the set threshold ε 2 , it is determined that the road section is a frequently congested road section.

计算所述路段的给定可靠度θ的累计拥堵时长βi,根据如下公式计算:Calculate the cumulative congestion duration β i of the given reliability θ of the road section, and calculate according to the following formula:

βi=Φ-1(1-θ)·σii (7)β i-1 (1-θ)·σ ii (7)

其中,Φ-1(·)表示正态分布累积概率密度函数的反函数,可靠度为θ。Among them, Φ -1 (·) represents the inverse function of the cumulative probability density function of the normal distribution, and the reliability is θ.

综上所述,本发明实施例的常发拥堵路段的识别和筛查的方法,基于概率的常发拥堵路段识别和筛查方法,能识别路段每天的整体拥堵程度,且考虑拥堵的波动性。通过在给定所述路段累计拥堵时长的情况下,计算可靠度进行常发拥堵路段的识别和筛查,或是在给定可靠度的情况下,计算给定可靠度的累计拥堵时长进行常发拥堵路段的识别和筛查,能够为城市疏堵工程提供准确有效的改造项目库,为交通管理部门提供预警信息,及时采取应对措施,疏导拥堵交通,并且能够发现道路网络规划中的不合理之处,为交通规划和建设部门重新规划道路线形、改进道路基础设施等提供科学依据,从而达到缓解道路拥堵的目的。To sum up, the method for identifying and screening frequently congested road sections according to the embodiments of the present invention, and the probability-based method for identifying and screening frequently congested road sections, can identify the daily overall congestion level of the road section, and consider the volatility of congestion. . Identify and screen frequently congested road sections by calculating the reliability given the cumulative congestion duration of the road section, or calculate the cumulative congestion duration with the given reliability for the frequent congestion. The identification and screening of congested road sections can provide an accurate and effective reconstruction project library for urban congestion relief projects, provide early warning information for traffic management departments, take timely countermeasures to relieve congested traffic, and can find unreasonable road network planning. It provides a scientific basis for traffic planning and construction departments to re-plan road alignments and improve road infrastructure, so as to achieve the purpose of alleviating road congestion.

通过以上的实施方式的描述可知,本领域的技术人员可以清楚地了解到本发明可借助软件加必需的通用硬件平台的方式来实现。基于这样的理解,本发明的技术方案本质上或者说对现有技术做出贡献的部分可以以软件产品的形式体现出来,该计算机软件产品可以存储在存储介质中,如ROM/RAM、磁碟、光盘等,包括若干指令用以使得一台计算机设备(可以是个人计算机,服务器,或者网络设备等)执行本发明各个实施例或者实施例的某些部分所述的方法。From the description of the above embodiments, those skilled in the art can clearly understand that the present invention can be implemented by means of software plus a necessary general hardware platform. Based on this understanding, the technical solutions of the present invention can be embodied in the form of software products in essence or the parts that make contributions to the prior art, and the computer software products can be stored in storage media, such as ROM/RAM, magnetic disks , CD, etc., including several instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute the methods described in various embodiments or some parts of the embodiments of the present invention.

以上所述,仅为本发明较佳的具体实施方式,但本发明的保护范围并不局限于此,任何熟悉本技术领域的技术人员在本发明揭露的技术范围内,可轻易想到的变化或替换,都应涵盖在本发明的保护范围之内。因此,本发明的保护范围应该以权利要求的保护范围为准。The above description is only a preferred embodiment of the present invention, but the protection scope of the present invention is not limited to this. Substitutions should be covered within the protection scope of the present invention. Therefore, the protection scope of the present invention should be subject to the protection scope of the claims.

Claims (4)

1.一种常发拥堵路段的识别和筛查方法,其特征在于,包括:1. a kind of identification and screening method of frequent congestion road section, is characterized in that, comprises: 获取历史拥堵数据,统计某个路段每天的累计拥堵时长;Obtain historical congestion data, and count the cumulative congestion time of a road section every day; 根据所述的某个路段的累计拥堵时长,确定所述路段累计拥堵时长服从的概率分布;According to the cumulative congestion duration of a certain road section, determine the probability distribution that the cumulative congestion duration of the road section obeys; 在给定所述路段累计拥堵时长的情况下,根据所述路段累计拥堵时长服从的概率分布,计算所述路段累计拥堵时长的可靠度,当所述路段累计拥堵时长的可靠度超过设定阈值ε1时,则判断所述路段为常发拥堵路段;根据所述路段累计拥堵时长服从的概率分布,计算所述路段累计拥堵时长的可靠度,包括:Given the cumulative congestion time of the road section, the reliability of the cumulative congestion time of the road section is calculated according to the probability distribution obeyed by the cumulative congestion time of the road section. When the reliability of the cumulative congestion time of the road section exceeds the set threshold When ε is 1 , it is determined that the road section is a frequently congested road section; according to the probability distribution obeyed by the cumulative congestion duration of the road section, the reliability of the cumulative congestion duration of the road section is calculated, including: 所述路段累计拥堵时长的可靠度根据如下公式计算:The reliability of the accumulated congestion duration of the road section is calculated according to the following formula:
Figure FDA0002662890750000011
Figure FDA0002662890750000011
P{βi>T0}为路段i的累计拥堵时长βi大于期望阈值T0的概率,将P{βi>T0}作为所述路段累计拥堵时长的可靠度,所述的根据所述的某个路段的累计拥堵时长,确定所述路段累计拥堵时长服从的概率分布,包括:P{β i >T 0 } is the probability that the accumulated congestion duration β i of the road segment i is greater than the expected threshold T 0 , and P{β i >T 0 } is used as the reliability of the accumulated congestion duration of the road segment. The cumulative congestion duration of a certain road section described above is determined, and the probability distribution that the cumulative congestion duration of the road section obeys is determined, including: 根据所述的某个路段的累计拥堵时长,确定所述路段累计拥堵时长服从的概率分布为正态分布,
Figure FDA0002662890750000012
其中μi为路段累计拥堵时长的均值,
Figure FDA0002662890750000013
为路段累计拥堵时长的方差;
According to the cumulative congestion duration of a certain road section, it is determined that the probability distribution obeyed by the cumulative congestion duration of the road section is a normal distribution,
Figure FDA0002662890750000012
where μ i is the mean value of the accumulated congestion duration of the road segment,
Figure FDA0002662890750000013
is the variance of the accumulated congestion duration of the road segment;
所述的均值μi和方差
Figure FDA0002662890750000014
根据如下公式计算:
The mean μ i and variance
Figure FDA0002662890750000014
Calculated according to the following formula:
Figure FDA0002662890750000015
Figure FDA0002662890750000015
Figure FDA0002662890750000021
Figure FDA0002662890750000021
其中,(βi,1i,2,…,βi,n)是总体的一组样本,n为样本量;Among them, (β i,1i,2 ,…,β i,n ) is a group of samples of the population, and n is the sample size; 根据如下概率分布公式计算所述路段累计拥堵时长服从的概率分布:According to the following probability distribution formula, calculate the probability distribution obeyed by the cumulative congestion duration of the road section:
Figure FDA0002662890750000022
Figure FDA0002662890750000022
Figure FDA0002662890750000023
Figure FDA0002662890750000023
其中,P{a<βi≤b}为路段i的累计拥堵时长βi在区间(a,b]的概率,f(x)为βi的概率密度函数,Φ(·)表示标准正态分布的分布函数,a和b为设定的时间段阈值。Among them, P{a<β i ≤b} is the probability that the accumulated congestion duration β i of the road segment i is in the interval (a, b), f(x) is the probability density function of β i , and Φ(·) represents the standard normal The distribution function of the distribution, a and b are the set time period thresholds.
2.根据权利要求1所述的常发拥堵路段的识别和筛查方法,其特征在于,所述的获取历史拥堵数据,统计某个路段每天的累计拥堵时长,包括:2. The identification and screening method of frequently-occurring congested road sections according to claim 1, wherein the acquisition of historical congestion data and the daily cumulative congestion duration of a certain road section include: 所述某个路段每天的累计拥堵时长根据如下公式计算:The daily cumulative congestion time of a certain road section is calculated according to the following formula:
Figure FDA0002662890750000024
Figure FDA0002662890750000024
其中,βi为路段i在一天内的累计拥堵时长,αi,j表示路段i在时刻j·Δ是否拥堵的状态,j=1,2,…,M,M表示对比时间段内的周期数,Δ表示数据的采样间隔,如果路段i在时刻j·Δ拥堵,则αi,j=1;如果不拥堵,则αi,j=0。Among them, β i is the accumulated congestion time of road segment i in one day, α i,j represents whether road segment i is congested at time j·Δ, j=1,2,...,M,M represents the period in the comparison time period number, Δ represents the sampling interval of the data, if the road segment i is congested at time j·Δ, then α i,j =1; if it is not congested, then α i,j =0.
3.一种常发拥堵路段的识别和筛查方法,其特征在于,包括:3. A method for identifying and screening frequently congested road sections, characterized in that, comprising: 获取历史拥堵数据,统计某个路段每天的累计拥堵时长;Obtain historical congestion data, and count the cumulative congestion time of a road section every day; 根据所述的某个路段的累计拥堵时长,确定所述路段累计拥堵时长服从的概率分布;According to the cumulative congestion duration of a certain road section, determine the probability distribution that the cumulative congestion duration of the road section obeys; 在给定可靠度的情况下,根据所述路段累计拥堵时长服从的概率分布,计算所述路段的给定可靠度的累计拥堵时长,当计算出的所述路段的给定可靠度的累计拥堵时长超过设定阈值ε2,则判断所述路段为常发拥堵路段;In the case of a given reliability, according to the probability distribution that the cumulative congestion duration of the road section obeys, the cumulative congestion duration of the given reliability of the road section is calculated. When the calculated cumulative congestion of the given reliability of the road section is calculated If the duration exceeds the set threshold ε 2 , it is determined that the road section is a frequently congested road section; 所述的根据所述的某个路段的累计拥堵时长,确定所述路段累计拥堵时长服从的概率分布,包括:Determining, according to the cumulative congestion duration of a certain road section, the probability distribution that the cumulative congestion duration of the road section obeys, including: 根据所述的某个路段的累计拥堵时长,确定所述路段累计拥堵时长服从的概率分布为正态分布,
Figure FDA0002662890750000031
其中μi为路段累计拥堵时长的均值,
Figure FDA0002662890750000032
为路段累计拥堵时长的方差;
According to the cumulative congestion duration of a certain road section, it is determined that the probability distribution obeyed by the cumulative congestion duration of the road section is a normal distribution,
Figure FDA0002662890750000031
where μ i is the mean value of the accumulated congestion duration of the road segment,
Figure FDA0002662890750000032
is the variance of the accumulated congestion duration of the road segment;
所述的均值μi和方差
Figure FDA0002662890750000033
根据如下公式计算:
The mean μ i and variance
Figure FDA0002662890750000033
Calculated according to the following formula:
Figure FDA0002662890750000034
Figure FDA0002662890750000034
Figure FDA0002662890750000035
Figure FDA0002662890750000035
其中,(βi,1i,2,…,βi,n)是总体的一组样本,n为样本量;Among them, (β i,1i,2 ,…,β i,n ) is a group of samples of the population, and n is the sample size; 根据如下概率分布公式计算所述路段累计拥堵时长服从的概率分布:According to the following probability distribution formula, calculate the probability distribution obeyed by the cumulative congestion duration of the road section:
Figure FDA0002662890750000036
Figure FDA0002662890750000036
Figure FDA0002662890750000037
Figure FDA0002662890750000037
其中,P{a<βi≤b}为路段i的累计拥堵时长βi在区间(a,b]的概率,f(x)为βi的概率密度函数,Φ(·)表示标准正态分布的分布函数;所述的在给定可靠度的情况下,根据所述路段累计拥堵时长服从的概率分布,计算所述路段的给定可靠度θ的累计拥堵时长,包括:Among them, P{a<β i ≤b} is the probability that the accumulated congestion duration β i of the road segment i is in the interval (a, b), f(x) is the probability density function of β i , and Φ(·) represents the standard normal The distribution function of the distribution; under the condition of a given reliability, according to the probability distribution obeyed by the cumulative congestion time of the road section, the cumulative congestion time of the given reliability θ of the road section is calculated, including: 所述路段的给定可靠度θ的累计拥堵时长βi根据如下公式计算:The cumulative congestion duration β i of the given reliability θ of the road section is calculated according to the following formula: βi=Φ-1(1-θ)·σii (7)β i-1 (1-θ)·σ ii (7) 其中,Φ-1(·)表示正态分布累积概率密度函数的反函数,可靠度为θ。Among them, Φ -1 (·) represents the inverse function of the cumulative probability density function of the normal distribution, and the reliability is θ.
4.根据权利要求3所述的常发拥堵路段的识别和筛查方法,其特征在于,所述的获取历史拥堵数据,统计某个路段每天的累计拥堵时长,包括:4. The method for identifying and screening frequently-occurring congested road sections according to claim 3, characterized in that, the acquisition of historical congestion data and the daily accumulated congestion duration of a certain road section include: 所述某个路段每天的的累计拥堵时长根据如下公式计算:The daily accumulated congestion time of a certain road section is calculated according to the following formula:
Figure FDA0002662890750000041
Figure FDA0002662890750000041
其中,βi为路段i在一天内的累计拥堵时长,αi,j表示路段i在时刻j·Δ是否拥堵的状态,j=1,2,…,M,M表示对比时间段内的周期数,Δ表示数据的采样间隔,如果路段i在时刻j·Δ拥堵,则αi,j=1;如果不拥堵,则αi,j=0。Among them, β i is the accumulated congestion time of road segment i in one day, α i,j represents whether road segment i is congested at time j·Δ, j=1,2,...,M,M represents the period in the comparison time period number, Δ represents the sampling interval of the data, if the road segment i is congested at time j·Δ, then α i,j =1; if it is not congested, then α i,j =0.
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