CN106023602A - Mountainous city signal intersection delay calculation method - Google Patents

Abstract

The invention discloses a mountainous city signal intersection delay calculation method. The method includes the following steps that: S1, the average longitudinal slope gradient of an entrance lane of a mountainous city signal intersection is determined; S2, the saturated flow of the entrance lane of the mountainous city signal intersection is determined; S3, the average driving speed of vehicles near the parking lines of the entrance lane of the mountainous city signal intersection is determined; S4, the vehicle arrival rate of the parking lines of the entrance lane of the mountainous city signal intersection is determined; and S5, the vehicle periodical average delay of the mountainous city signal intersection is calculated according to the saturated flow of the entrance lane of the mountainous city signal intersection and the vehicle arrival rate. Compared with the prior art, the method of the invention has high applicability and high calculation precision in mountainous cities, and can be used for evaluating intersection signal control service level and optimizing signal timing planes. With the method of the invention adopted, the defect that the slope of an entrance lane is not considered in a traditional delay calculation method can be eliminated. The method has the advantages of high practicability, high reliability and the like, and is especially suitable for signal timing plan design of newly-built intersections.

Description

Translated fromChinese

山地城市信号交叉口延误计算方法Calculation method of delay at signalized intersections in mountainous cities

技术领域technical field

本发明属于交通信号控制领域，具体涉及一种山地城市信号交叉口周期延误的获取方法。The invention belongs to the field of traffic signal control, and in particular relates to a method for obtaining cycle delay of signal intersections in mountainous cities.

背景技术Background technique

山地城市地形复杂多变，道路多依托地形修建，导致山地城市道路中存在大量平曲线以及频繁的上下坡。甚至在某些交叉口处，由于地形限制，不同进口道之间纵坡值差距较大，各自的交通运行状况自然有较大差距。而交叉口作为城市道路交通的瓶颈，其交通运行状况直接影响着交通出行的质量。延误作为评价信号控制交叉口服务水平和优化信号配时方案的重要参数，对交通设计和交通评价都有重要影响。The terrain of mountainous cities is complex and changeable, and roads are mostly built on topography, resulting in a large number of flat curves and frequent uphill and downhill roads in mountainous cities. Even at some intersections, due to terrain constraints, there is a large gap in longitudinal slope values between different entrances, and there are naturally large gaps in their respective traffic operating conditions. As the bottleneck of urban road traffic, intersections directly affect the quality of traffic travel. Delay, as an important parameter for evaluating the service level of signalized intersections and optimizing signal timing schemes, has a significant impact on traffic design and traffic evaluation.

所谓延误，是指车辆在信号控制交叉口上受阻、行驶时间损失的指标，它直接反映了机动车出行者穿越交叉口的时间损失。然而延误同时也是一个难以得到的参数。通常的延误获取方法主要分为两类：现场观测方法和理论模型计算方法。现场观测方法能比较精确的获得交叉口停车延误值，但具有样本量低、成本高、劳动强度大、后期数据处理工作量大等缺陷，不能实时地、全时段地获得交叉口延误值，因此不能用于信号配时的实时优化。The so-called delay refers to the indicator of the vehicle being blocked at the signalized intersection and the loss of travel time, which directly reflects the time loss of motor vehicle travelers crossing the intersection. Yet delay is also a parameter that is hard to come by. The usual delay acquisition methods are mainly divided into two categories: field observation methods and theoretical model calculation methods. The on-site observation method can obtain the parking delay value of the intersection more accurately, but it has defects such as low sample size, high cost, high labor intensity, and heavy workload of post-data processing, and cannot obtain the intersection delay value in real time and all the time. Therefore, Cannot be used for real-time optimization of signal timing.

发明内容Contents of the invention

有鉴于此，本发明的目的是提供一种山地城市信号交叉口延误计算方法。In view of this, the purpose of the present invention is to provide a method for calculating delay at signalized intersections in mountainous cities.

本发明的目的是通过这样的技术方案实现的，一种山地城市信号交叉口延误计算方法，包括以下步骤：The purpose of the present invention is achieved by such a technical solution, a method for calculating the delay at signalized intersections in mountainous cities, comprising the following steps:

S1确定山地城市信号交叉口进口道平均纵坡坡度；S2确定山地城市信号交叉口进口道饱和流量；S3确定山地城市信号交叉口进口道停车线附近车辆平均行驶速度；S4确定山地城市信号交叉口进口道停车线车辆到达率；S5利用山地城市信号交叉口进口道饱和流量和车辆到达率，计算山地城市信号交叉口的车辆周期平均延误。S1 determines the average longitudinal slope of the entrance road of signalized intersections in mountainous cities; S2 determines the saturated flow of the entrance roads of signalized intersections in mountainous cities; S3 determines the average driving speed of vehicles near the stop line of signalized intersections in mountainous cities; S4 determines the signalized intersections of mountainous cities The arrival rate of vehicles at the stop line of the entrance road; S5 calculates the average vehicle cycle delay at the signalized intersection in mountainous cities by using the saturated flow and vehicle arrival rate of the entrance road at signalized intersections in mountainous cities.

进一步，所述山地城市信号交叉口包括已建交叉口和新建交叉口。Further, the signalized intersections in mountainous cities include existing intersections and newly built intersections.

进一步，所述已建交叉口的进口道饱和流量通过实地测量饱和车头时距获得。Further, the inlet saturated flow of the established intersection is obtained by measuring the saturated headway on the spot.

根据权利要求3所述的山地城市信号交叉口延误计算方法，其特征在于：所述新建交叉口的进口道饱和流量获得方法以：计算不同坡度下的饱和流量，得到山地城市中进口道饱和流量与道路坡度的计算关系。The method for calculating delay at signalized intersections in mountainous cities according to claim 3, characterized in that: the method for obtaining saturated flow at the entrance of the newly-built intersection is to: calculate the saturated flow at different slopes to obtain the saturated flow at the entrance in mountainous cities Computational relation to road slope.

进一步，所述已建交叉口进口道停车线附近车辆平均行驶速度通过实地测量车辆速度数据计算。Further, the average driving speed of the vehicles near the stop line of the built intersection entrance road is calculated by measuring vehicle speed data on the spot.

进一步，所述新建交叉口进口道停车线附近车辆平均行驶速度通过以下方法获取：确定车辆速度与道路坡度的关系函数，通过交叉口所在路段坡度上下游路段车辆速度计算平均行驶速度。Further, the average driving speed of vehicles near the stop line of the new intersection entrance road is obtained by the following method: determine the relationship function between vehicle speed and road slope, and calculate the average driving speed according to the vehicle speed of the upstream and downstream sections of the road section where the intersection is located.

进一步，所述车辆到达率通过以下方法获取：Further, the vehicle arrival rate is obtained by the following method:

计算零坡度路段某断面的车辆到达率λ₀，车辆行驶至交叉口进口道停车线附近时，根据车辆速度随道路坡度的变化关系，得到平均纵坡坡度为i的进口道停车线附近的车辆到达率的计算方法为λ_i＝[f(V₀,i)/V₀]*λ₀。Calculate the vehicle arrival rate λ₀ of a certain section of the zero-slope road section. When the vehicle travels near the stop line of the entrance road at the intersection, according to the relationship between the vehicle speed and the slope of the road, the vehicles near the stop line of the entrance road with an average longitudinal slope of i are obtained The calculation method of the arrival rate is λ_i =[f(V₀ ,i)/V₀ ]*λ₀ .

进一步，利用山地城市信号交叉口进口道饱和流量和车辆到达率，计算山地城市信号交叉口的车辆周期平均延误，包括：Further, using the saturated traffic flow and vehicle arrival rate of signalized intersections in mountainous cities, the average vehicle cycle delay of signalized intersections in mountainous cities is calculated, including:

基于Webster公式的延误计算方法Delay Calculation Method Based on Webster's Formula

式中：C为信号周期时长，单位为s；λ_i为车辆到达率，单位为辆/s；x_i为饱和度；u为绿信比，等于g/C，其中g为有效绿灯时长，单位为s；y_i为流量比，等于λ_i/S_i，其中S_i为饱和流量，单位为辆/s。 In the formula: C is the signal period length, the unit is s; λ_i is the vehicle arrival rate, the unit is vehicle/s; x_i is the saturation; u is the green signal ratio, which is equal to g/C, where g is the effective green light duration, The unit is s; y_i is the flow ratio, which is equal to λ_i /S_i , where S_i is the saturated flow, and the unit is vehicle/s.

进一步，利用山地城市信号交叉口进口道饱和流量和车辆到达率，计算山地城市信号交叉口的车辆周期平均延误，包括：基于HCM2010公式的延误计算方法Further, the average vehicle cycle delay of signalized intersections in mountainous cities is calculated by using the saturated flow rate and vehicle arrival rate at the entrance of signalized intersections in mountainous cities, including: a delay calculation method based on the HCM2010 formula

$\stackrel{<span><span>\&OverBar;</span>\&OverBar;</span>}{\mathrm{<span><span>d</span>d</span>}}<span><span>=</span>=</span>\frac{\mathrm{<span><span>C</span>C</span>}{<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\mathrm{<span><span>u</span>u</span>}<span><span>)</span>)</span>}^{\mathrm{<span><span>2</span>2</span>}}}{\mathrm{<span><span>2</span>2</span>}<span><span>\&lsqb;</span>\&lsqb;</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\mathrm{<span><span>min</span>min</span>}<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>,</span>,</span>{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>)</span>)</span>\mathrm{<span><span>u</span>u</span>}<span><span>\&rsqb;</span>\&rsqb;</span>}\mathrm{<span><span>P</span>P</span>}\mathrm{<span><span>F</span>f</span>}<span><span>+</span>+</span>\mathrm{<span><span>900</span>900</span>}\mathrm{<span><span>T</span>T</span>}<span><span>\&lsqb;</span>\&lsqb;</span><span><span>(</span>(</span>{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>-</span>-</span>\mathrm{<span><span>1</span>1</span>}<span><span>)</span>)</span><span><span>+</span>+</span>\sqrt{{<span><span>(</span>(</span>{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>-</span>-</span>\mathrm{<span><span>1</span>1</span>}<span><span>)</span>)</span>}^{\mathrm{<span><span>2</span>2</span>}}<span><span>+</span>+</span>\frac{\mathrm{<span><span>8</span>8</span>}{\mathrm{<span><span>kIx</span>kSi</span>}}_{\mathrm{<span><span>i</span>i</span>}}}{\mathrm{<span><span>c</span>c</span>}\mathrm{<span><span>T</span>T</span>}}}<span><span>\&rsqb;</span>\&rsqb;</span><span><span>+</span>+</span>\frac{\mathrm{<span><span>1800</span>1800</span>}{\mathrm{<span><span>Q</span>Q</span>}}_{\mathrm{<span><span>b</span>b</span>}}<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>{\mathrm{<span><span>u</span>u</span>}}_{\mathrm{<span><span>i</span>i</span>}}^{<span><span>*</span>*</span>}<span><span>)</span>)</span>\mathrm{<span><span>t</span>t</span>}}{\mathrm{<span><span>c</span>c</span>}\mathrm{<span><span>T</span>T</span>}}<span><span>;</span>;</span>$

其中：in:

$\mathrm{<span><span>P</span>P</span>}\mathrm{<span><span>F</span>f</span>}<span><span>=</span>=</span>\frac{<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\mathrm{<span><span>P</span>P</span>}<span><span>)</span>)</span>{\mathrm{<span><span>f</span>f</span>}}_{\mathrm{<span><span>P</span>P</span>}\mathrm{<span><span>A</span>A</span>}}}{\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\mathrm{<span><span>u</span>u</span>}}$

P＝r_puP＝r_p u

式中：PF为车辆到达类型对应的取值；r_p、f_PA为车辆到达类型的修正系数；u为绿信比，等于g/C，其中g为有效绿灯时长，单位为s；In the formula: PF is the value corresponding to the vehicle arrival type; r_p and f_PA are the correction coefficients of the vehicle arrival type; u is the green signal ratio, which is equal to g/C, where g is the effective green light duration, and the unit is s;

$\mathrm{<span><span>t</span>t</span>}<span><span>=</span>=</span>\left\{\begin{array}{cc}\mathrm{<span><span>0</span>0</span>}<span><span>,</span>,</span>& {\mathrm{<span><span>Q</span>Q</span>}}_{\mathrm{<span><span>b</span>b</span>}}<span><span>=</span>=</span>\mathrm{<span><span>0</span>0</span>}\\ \mathrm{<span><span>min</span>min</span>}<span><span>\{</span>\{</span>\mathrm{<span><span>T</span>T</span>}<span><span>,</span>,</span>\frac{{\mathrm{<span><span>Q</span>Q</span>}}_{\mathrm{<span><span>b</span>b</span>}}}{\mathrm{<span><span>c</span>c</span>}<span><span>\&lsqb;</span>\&lsqb;</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\mathrm{<span><span>min</span>min</span>}<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>,</span>,</span>{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>)</span>)</span><span><span>\&rsqb;</span>\&rsqb;</span>}<span><span>\}</span>\}</span><span><span>,</span>,</span>& {\mathrm{<span><span>Q</span>Q</span>}}_{\mathrm{<span><span>b</span>b</span>}}<span><span>\&NotEqual;</span>\&NotEqual;</span>\mathrm{<span><span>0</span>0</span>}\end{array}\right.$

${\mathrm{<span><span>u</span>u</span>}}^{<span><span>*</span>*</span>}<span><span>=</span>=</span>\left\{\begin{array}{cc}\mathrm{<span><span>0</span>0</span>}<span><span>,</span>,</span>& \mathrm{<span><span>t</span>t</span>}<span><span><</span><</span>\mathrm{<span><span>T</span>T</span>}\\ \mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\frac{\mathrm{<span><span>c</span>c</span>}\mathrm{<span><span>T</span>T</span>}}{{\mathrm{<span><span>Q</span>Q</span>}}_{\mathrm{<span><span>b</span>b</span>}}<span><span>\&lsqb;</span>\&lsqb;</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\mathrm{<span><span>min</span>min</span>}<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>,</span>,</span>{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>)</span>)</span><span><span>\&rsqb;</span>\&rsqb;</span>}<span><span>,</span>,</span>& \mathrm{<span><span>t</span>t</span>}<span><span>></span>></span>\mathrm{<span><span>T</span>T</span>}\end{array}\right.$

式中：C为信号周期时长，单位为s；x_i为饱和度；T为分析时长，单位为h；k为信控方式校正参数；I为车辆到达类型；Q_b为周期初始时间车辆排队长度，c为交叉口通行能力，单位为辆/h。In the formula: C is the length of the signal cycle, the unit is s; x_i is the saturation; T is the analysis time, the unit is h; k is the correction parameter of the signal control mode; I is the type of vehicle arrival; Q_b is the vehicle queuing at the initial time of the cycle Length, c is the traffic capacity of the intersection, and the unit is vehicle/h.

由于采用了上述技术方案，本发明具有如下的优点：Owing to adopting above-mentioned technical scheme, the present invention has following advantage:

本发明针对现有延误计算方法在应用于山地城市信号交叉口时计算精度不高的问题，特别是针对信号交叉口进口道有一定坡度的情形，提出一种新的基于一定坡度下车辆到达率修正的延误计算方法。与现有计算方法相比，本方法在山地城市适用性强、计算精度高，能够用于评价信号控制交叉口服务水平和优化信号配时方案。本发明弥补了传统的延误计算方法中不把进口道坡度的影响考虑在内的缺陷，具有贴近实际、可靠性高等优点，特别适用于新建交叉口的信号配时方案设计。The present invention aims at the problem that the existing delay calculation method is not high in calculation accuracy when applied to signalized intersections in mountainous cities, especially for the situation that the entrance road of signalized intersections has a certain slope, and proposes a new vehicle arrival rate based on a certain slope Revised delay calculation method. Compared with the existing calculation methods, this method has strong applicability and high calculation accuracy in mountainous cities, and can be used to evaluate the service level of signalized intersections and optimize the signal timing scheme. The invention makes up for the defect that the traditional delay calculation method does not take the influence of the entrance road slope into consideration, has the advantages of being close to reality and high reliability, and is especially suitable for the signal timing scheme design of newly built intersections.

附图说明Description of drawings

为了使本发明的目的、技术方案和优点更加清楚，下面将结合附图对本发明作进一步的详细描述，其中：In order to make the purpose, technical solutions and advantages of the present invention clearer, the present invention will be described in further detail below in conjunction with the accompanying drawings, wherein:

图1为本发明中涉及到的车辆行驶在不同坡度路段的示意图；Fig. 1 is the schematic diagram that the vehicle involved in the present invention travels on different slope sections;

图2为本发明提出的山地城市信号交叉口延误计算方法流程框图；Fig. 2 is a flow chart diagram of the method for calculating the delay at signalized intersections in mountainous cities proposed by the present invention;

图中标号：1为无坡度路段速度检测断面；2为交叉口进口道停车线；3为道路由零坡度变化至平均纵坡度为i的变坡点位置；4为道路由平均纵坡度为i变化至其他纵坡度的变坡点位置；5为车辆行驶方向指向箭头；6为交叉口进口道所在路段平均纵坡坡度。Numbers in the figure: 1 is the speed detection section of the road without slope; 2 is the stop line of the intersection entrance road; 3 is the position of the slope change point where the road changes from zero slope to the average longitudinal gradient of i; 4 is the road from the average longitudinal gradient of i The position of the slope change point that changes to other longitudinal slopes; 5 is the direction arrow of the vehicle; 6 is the average longitudinal slope of the road section where the intersection entrance road is located.

具体实施方式detailed description

以下对本发明的优选实施例进行详细的描述；应当理解，优选实施例仅为了说明本发明，而不是为了限制本发明的保护范围。The preferred embodiments of the present invention are described in detail below; it should be understood that the preferred embodiments are only for illustrating the present invention, rather than limiting the protection scope of the present invention.

一种山地城市信号交叉口延误计算方法，包括以下步骤：A method for calculating delay at signalized intersections in mountainous cities, comprising the following steps:

S1确定山地城市信号交叉口进口道平均纵坡坡度；如图1中编号6所指。利用水准仪、标尺、卷尺等测绘工具完成。S1 determines the average longitudinal slope of the approach road at signalized intersections in mountainous cities; as indicated by number 6 in Figure 1. Use surveying tools such as levels, rulers, and tape measures to complete.

在本实施例中，选择从停车线开始至进口道上游200m～300m长的路段，获取其平均纵坡坡度，这样可以避免短距离的道路坡度突变对计算结果的影响。In this embodiment, a road section with a length of 200m-300m from the stop line to the upstream of the entrance road is selected to obtain its average longitudinal slope, which can avoid the impact of short-distance road gradient mutations on the calculation results.

S2确定山地城市信号交叉口进口道饱和流量，如图1中编号2所指。S2 determines the saturated flow at the entrance of signalized intersection in mountainous cities, as indicated by number 2 in Figure 1.

在本实施例中，对于已有交叉口可以通过实地观测车辆饱和车头时距得到；对于新建交叉口，则需要通过大量的饱和车头时距调查确定山地城市交叉口进口道基本饱和流量，在此基础上，调查不同进口道坡度下的车辆饱和车头时距进而得到对应坡度下的饱和流量，最后，利用纵坡坡度对饱和流量的修正计算得到特定坡度下进口道的饱和流量。In this embodiment, the existing intersections can be obtained by observing the saturated headway of vehicles on the spot; for newly-built intersections, it is necessary to determine the basic saturated flow rate of the intersection entrance road in mountainous cities through a large number of saturated headway investigations. On the basis of this, the saturated headway of vehicles under different entrance slopes is investigated to obtain the saturated flow rate under the corresponding slope. Finally, the saturated flow rate of the entrance road under a specific slope is calculated by using the correction of the longitudinal slope gradient to the saturated flow rate.

S3确定山地城市信号交叉口进口道停车线附近车辆平均行驶速度；选择断面如图1中编号1、2所指。S3 determines the average driving speed of vehicles near the stop line of the entrance road at the signalized intersection in mountainous cities;

对于已有交叉口可以采取实地观测车辆在断面1、2处的平均行驶速度；对于新建交叉口，需要在正常的交通运行状况下，选择山地城市不同坡度路段展开调查，搜集对应的车辆行驶速度数据,然后利用建立经验模型的方法得到车辆速度随道路坡度变化的连续函数f(V₀,i),实地调研获取该交叉口进口道所在道路零坡度路段的车辆平均行驶速度V₀，计算之后可得该进口道停车线附近车辆的平均行驶速度V_i。For existing intersections, the average driving speed of vehicles at sections 1 and 2 can be observed on the spot; for newly-built intersections, under normal traffic conditions, it is necessary to select road sections with different slopes in mountainous cities to conduct investigations and collect corresponding vehicle driving speeds data, and then use the method of establishing an empirical model to obtain the continuous function f(V₀ ,i) of vehicle speed changing with the road gradient, and obtain the average vehicle speed V₀ of the zero-slope section of the road where the intersection entrance road is located through field investigation. After calculation The average speed V_i of the vehicles near the stop line of the entrance can be obtained.

S4确定山地城市信号交叉口进口道停车线车辆到达率；S4 determines the vehicle arrival rate of the parking line at the entrance road of the signalized intersection in mountainous cities;

(5)计算交叉口进口道车辆到达率。首先根据车辆到达率的定义计算零坡度路段某断面的车辆到达率λ₀，如图1中编号1所指。由于车辆速度的变化，车辆行驶至交叉口进口道停车线附近时，如图1中编号2所指，车辆到达率会发生变化，根据车辆到达率与车辆速度的关系，得到平均纵坡坡度为i的进口道停车线附近的车辆到达率的计算方法为(5) Calculate the vehicle arrival rate at the intersection approach. First, calculate the vehicle arrival rate λ₀ of a certain section of the zero-slope section according to the definition of the vehicle arrival rate, as indicated by number 1 in Fig. 1 . Due to the change of vehicle speed, when the vehicle travels near the stop line of the intersection entrance road, as indicated by number 2 in Figure 1, the vehicle arrival rate will change. According to the relationship between the vehicle arrival rate and vehicle speed, the average longitudinal slope is obtained as The calculation method of the vehicle arrival rate near the stop line of the entrance road of i is:

S5利用山地城市信号交叉口进口道饱和流量和车辆到达率，计算山地城市信号交叉口的车辆周期平均延误。S5 calculates the average cycle delay of vehicles at signalized intersections in mountainous cities by using the saturated flow rate and vehicle arrival rate of signalized intersections in mountainous cities.

①基于Webster公式的延误计算方法①Delay calculation method based on Webster formula

$\stackrel{<span><span>\&OverBar;</span>\&OverBar;</span>}{\mathrm{<span><span>d</span>d</span>}}<span><span>=</span>=</span>\frac{\mathrm{<span><span>C</span>C</span>}{<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\mathrm{<span><span>u</span>u</span>}<span><span>)</span>)</span>}^{\mathrm{<span><span>2</span>2</span>}}}{\mathrm{<span><span>2</span>2</span>}<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>{\mathrm{<span><span>y</span>the\; y</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>)</span>)</span>}<span><span>+</span>+</span>\frac{{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}^{\mathrm{<span><span>2</span>2</span>}}}{\mathrm{<span><span>2</span>2</span>}{\mathrm{<span><span>\&lambda;</span>\&lambda;</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>)</span>)</span>}<span><span>-</span>-</span>\mathrm{<span><span>0.65</span>0.65</span>}{<span><span>(</span>(</span>\frac{\mathrm{<span><span>C</span>C</span>}}{{\mathrm{<span><span>\&lambda;</span>\&lambda;</span>}}_{\mathrm{<span><span>i</span>i</span>}}^{\mathrm{<span><span>2</span>2</span>}}}<span><span>)</span>)</span>}^{\frac{\mathrm{<span><span>1</span>1</span>}}{\mathrm{<span><span>3</span>3</span>}}}\mathrm{<span><span>x</span>x</span>}<span><span>*</span>*</span>{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}^{<span><span>(</span>(</span>\mathrm{<span><span>2</span>2</span>}<span><span>+</span>+</span>\mathrm{<span><span>5</span>5</span>}\mathrm{<span><span>u</span>u</span>}<span><span>)</span>)</span>}<span><span>;</span>;</span>$

式中：C为信号周期时长，单位为s；λ_i为车辆到达率，单位为辆/s；x_i为饱和度；u为绿信比，等于g/C，其中g为有效绿灯时长，单位为s；y_i为流量比，等于λ_i/S_i，其中S_i为饱和流量，单位为辆/s。 In the formula: C is the signal period length, the unit is s; λ_i is the vehicle arrival rate, the unit is vehicle/s; x_i is the saturation; u is the green signal ratio, which is equal to g/C, where g is the effective green light duration, The unit is s; y_i is the flow ratio, which is equal to λ_i /S_i , where S_i is the saturated flow, and the unit is vehicle/s.

②基于HCM2010公式的延误计算方法②Delay calculation method based on HCM2010 formula

$\stackrel{<span><span>\&OverBar;</span>\&OverBar;</span>}{\mathrm{<span><span>d</span>d</span>}}<span><span>=</span>=</span>\frac{\mathrm{<span><span>C</span>C</span>}{<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\mathrm{<span><span>u</span>u</span>}<span><span>)</span>)</span>}^{\mathrm{<span><span>2</span>2</span>}}}{\mathrm{<span><span>2</span>2</span>}<span><span>\&lsqb;</span>\&lsqb;</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\mathrm{<span><span>min</span>min</span>}<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>,</span>,</span>{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>)</span>)</span>\mathrm{<span><span>u</span>u</span>}<span><span>\&rsqb;</span>\&rsqb;</span>}\mathrm{<span><span>P</span>P</span>}\mathrm{<span><span>F</span>f</span>}<span><span>+</span>+</span>\mathrm{<span><span>900</span>900</span>}\mathrm{<span><span>T</span>T</span>}<span><span>\&lsqb;</span>\&lsqb;</span><span><span>(</span>(</span>{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>-</span>-</span>\mathrm{<span><span>1</span>1</span>}<span><span>)</span>)</span><span><span>+</span>+</span>\sqrt{{<span><span>(</span>(</span>{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>-</span>-</span>\mathrm{<span><span>1</span>1</span>}<span><span>)</span>)</span>}^{\mathrm{<span><span>2</span>2</span>}}<span><span>+</span>+</span>\frac{\mathrm{<span><span>8</span>8</span>}{\mathrm{<span><span>kIx</span>kSi</span>}}_{\mathrm{<span><span>i</span>i</span>}}}{\mathrm{<span><span>c</span>c</span>}\mathrm{<span><span>T</span>T</span>}}}<span><span>\&rsqb;</span>\&rsqb;</span><span><span>+</span>+</span>\frac{\mathrm{<span><span>1800</span>1800</span>}{\mathrm{<span><span>Q</span>Q</span>}}_{\mathrm{<span><span>b</span>b</span>}}<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>{\mathrm{<span><span>u</span>u</span>}}_{\mathrm{<span><span>i</span>i</span>}}^{<span><span>*</span>*</span>}<span><span>)</span>)</span>\mathrm{<span><span>t</span>t</span>}}{\mathrm{<span><span>c</span>c</span>}\mathrm{<span><span>T</span>T</span>}}<span><span>;</span>;</span>$

$\stackrel{<span><span>\&OverBar;</span>\&OverBar;</span>}{\mathrm{<span><span>d</span>d</span>}}<span><span>=</span>=</span>\frac{\mathrm{<span><span>C</span>C</span>}{<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\mathrm{<span><span>u</span>u</span>}<span><span>)</span>)</span>}^{\mathrm{<span><span>2</span>2</span>}}}{\mathrm{<span><span>2</span>2</span>}<span><span>\&lsqb;</span>\&lsqb;</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\mathrm{<span><span>min</span>min</span>}<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>,</span>,</span>{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>)</span>)</span>\mathrm{<span><span>u</span>u</span>}<span><span>\&rsqb;</span>\&rsqb;</span>}\mathrm{<span><span>P</span>P</span>}\mathrm{<span><span>F</span>f</span>}<span><span>+</span>+</span>\mathrm{<span><span>900</span>900</span>}\mathrm{<span><span>T</span>T</span>}<span><span>\&lsqb;</span>\&lsqb;</span><span><span>(</span>(</span>{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>-</span>-</span>\mathrm{<span><span>1</span>1</span>}<span><span>)</span>)</span><span><span>+</span>+</span>\sqrt{{<span><span>(</span>(</span>{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>-</span>-</span>\mathrm{<span><span>1</span>1</span>}<span><span>)</span>)</span>}^{\mathrm{<span><span>2</span>2</span>}}<span><span>+</span>+</span>\frac{\mathrm{<span><span>8</span>8</span>}{\mathrm{<span><span>kIx</span>kSi</span>}}_{\mathrm{<span><span>i</span>i</span>}}}{\mathrm{<span><span>c</span>c</span>}\mathrm{<span><span>T</span>T</span>}}}<span><span>\&rsqb;</span>\&rsqb;</span><span><span>+</span>+</span>\frac{\mathrm{<span><span>1800</span>1800</span>}{\mathrm{<span><span>Q</span>Q</span>}}_{\mathrm{<span><span>b</span>b</span>}}<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>{\mathrm{<span><span>u</span>u</span>}}_{\mathrm{<span><span>i</span>i</span>}}^{<span><span>*</span>*</span>}<span><span>)</span>)</span>\mathrm{<span><span>t</span>t</span>}}{\mathrm{<span><span>c</span>c</span>}\mathrm{<span><span>T</span>T</span>}}<span><span>;</span>;</span>$

其中：in:

$\mathrm{<span><span>P</span>P</span>}\mathrm{<span><span>F</span>f</span>}<span><span>=</span>=</span>\frac{<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\mathrm{<span><span>P</span>P</span>}<span><span>)</span>)</span>{\mathrm{<span><span>f</span>f</span>}}_{\mathrm{<span><span>P</span>P</span>}\mathrm{<span><span>A</span>A</span>}}}{\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\mathrm{<span><span>u</span>u</span>}}$

P＝r_puP＝r_p u

式中：PF为车辆到达类型对应的取值；r_p、f_PA为车辆到达类型的修正系数；u为绿信比，等于g/C，其中g为有效绿灯时长，单位为s；In the formula: PF is the value corresponding to the vehicle arrival type; r_p and f_PA are the correction coefficients of the vehicle arrival type; u is the green signal ratio, which is equal to g/C, where g is the effective green light duration, and the unit is s;

$\mathrm{<span><span>t</span>t</span>}<span><span>=</span>=</span>\left\{\begin{array}{cc}\mathrm{<span><span>0</span>0</span>}<span><span>,</span>,</span>& {\mathrm{<span><span>Q</span>Q</span>}}_{\mathrm{<span><span>b</span>b</span>}}<span><span>=</span>=</span>\mathrm{<span><span>0</span>0</span>}\\ \mathrm{<span><span>min</span>min</span>}<span><span>\{</span>\{</span>\mathrm{<span><span>T</span>T</span>}<span><span>,</span>,</span>\frac{{\mathrm{<span><span>Q</span>Q</span>}}_{\mathrm{<span><span>b</span>b</span>}}}{\mathrm{<span><span>c</span>c</span>}<span><span>\&lsqb;</span>\&lsqb;</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\mathrm{<span><span>min</span>min</span>}<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>,</span>,</span>{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>)</span>)</span><span><span>\&rsqb;</span>\&rsqb;</span>}<span><span>\}</span>\}</span><span><span>,</span>,</span>& {\mathrm{<span><span>Q</span>Q</span>}}_{\mathrm{<span><span>b</span>b</span>}}<span><span>\&NotEqual;</span>\&NotEqual;</span>\mathrm{<span><span>0</span>0</span>}\end{array}\right.$

${\mathrm{<span><span>u</span>u</span>}}^{<span><span>*</span>*</span>}<span><span>=</span>=</span>\left\{\begin{array}{cc}\mathrm{<span><span>0</span>0</span>}<span><span>,</span>,</span>& \mathrm{<span><span>t</span>t</span>}<span><span><</span><</span>\mathrm{<span><span>T</span>T</span>}\\ \mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\frac{\mathrm{<span><span>c</span>c</span>}\mathrm{<span><span>T</span>T</span>}}{{\mathrm{<span><span>Q</span>Q</span>}}_{\mathrm{<span><span>b</span>b</span>}}<span><span>\&lsqb;</span>\&lsqb;</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\mathrm{<span><span>min</span>min</span>}<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>,</span>,</span>{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>)</span>)</span><span><span>\&rsqb;</span>\&rsqb;</span>}<span><span>,</span>,</span>& \mathrm{<span><span>t</span>t</span>}<span><span>></span>></span>\mathrm{<span><span>T</span>T</span>}\end{array}\right.$

式中：C为信号周期时长，单位为s；x_i为饱和度；T为分析时长，单位为h；k为信控方式校正参数；I为车辆到达类型；Q_b为周期初始时间车辆排队长度，c为交叉口通行能力，单位为辆/h。In the formula: C is the length of the signal cycle, the unit is s; x_i is the saturation; T is the analysis time, the unit is h; k is the correction parameter of the signal control mode; I is the type of vehicle arrival; Q_b is the vehicle queuing at the initial time of the cycle Length, c is the traffic capacity of the intersection, and the unit is vehicle/h.

以上所述仅为本发明的优选实施例，并不用于限制本发明，显然，本领域的技术人员可以对本发明进行各种改动和变型而不脱离本发明的精神和范围。这样，倘若本发明的这些修改和变型属于本发明权利要求及其等同技术的范围之内，则本发明也意图包含这些改动和变型在内。The above descriptions are only preferred embodiments of the present invention, and are not intended to limit the present invention. Obviously, those skilled in the art can make various changes and modifications to the present invention without departing from the spirit and scope of the present invention. Thus, if these modifications and variations of the present invention fall within the scope of the claims of the present invention and equivalent technologies thereof, the present invention also intends to include these modifications and variations.

Claims (9)

Translated fromChinese

1.一种山地城市信号交叉口延误计算方法，其特征在于：包括以下步骤：1. a method for calculating delay at signalized intersections in mountainous cities, is characterized in that: comprises the following steps:S1确定山地城市信号交叉口进口道平均纵坡坡度；S1 determines the average longitudinal slope of the approach road at signalized intersections in mountainous cities;S2确定山地城市信号交叉口进口道饱和流量；S2 determines the saturated flow of the approach road at the signalized intersection in mountainous cities;S3确定山地城市信号交叉口进口道停车线附近车辆平均行驶速度；S3 determines the average driving speed of vehicles near the stop line of the signal intersection entrance road in mountainous cities;S4确定山地城市信号交叉口进口道停车线车辆到达率；S4 determines the vehicle arrival rate of the parking line at the entrance road of the signalized intersection in mountainous cities;S5利用山地城市信号交叉口进口道饱和流量和车辆到达率，计算山地城市信号交叉口的车辆周期平均延误。S5 calculates the average cycle delay of vehicles at signalized intersections in mountainous cities by using the saturated flow rate and vehicle arrival rate of signalized intersections in mountainous cities.2.根据权利要求1所述的山地城市信号交叉口延误计算方法，其特征在于：所述山地城市信号交叉口包括已建交叉口和新建交叉口。2. The method for calculating delay at signalized intersections in mountainous cities according to claim 1, characterized in that: said signalized intersections in mountainous cities include existing intersections and newly built intersections.3.根据权利要求2所述的山地城市信号交叉口延误计算方法，其特征在于：所述已建交叉口的进口道饱和流量通过实地测量饱和车头时距获得。3. The method for calculating delay at signalized intersections in mountainous cities according to claim 2, characterized in that: the saturated flow at the entrance of the established intersection is obtained by measuring the saturated headway on the spot.4.根据权利要求3所述的山地城市信号交叉口延误计算方法，其特征在于：所述新建交叉口的进口道饱和流量获得方法以：计算不同坡度下的饱和流量，得到山地城市中进口道饱和流量与道路坡度的计算关系。4. The method for calculating delay at signalized intersections in mountainous cities according to claim 3, characterized in that: the method for obtaining the saturated flow rate of the entrance road at the newly-built intersection is to: calculate the saturated flow rate under different slopes to obtain the entrance road in mountainous cities Calculation relationship between saturated flow and road slope.5.根据权利要求2所述的山地城市信号交叉口延误计算方法，其特征在于：所述已建交叉口进口道停车线附近车辆平均行驶速度通过实地测量车辆速度数据计算。5. The method for calculating delay at signalized intersections in mountainous cities according to claim 2, characterized in that: the average speed of vehicles near the stop line of the built intersection entrance road is calculated by measuring vehicle speed data on the spot.6.根据权利要求3所述的山地城市信号交叉口延误计算方法，其特征在于：所述新建交叉口进口道停车线附近车辆平均行驶速度通过以下方法获取：确定车辆速度与道路坡度的关系函数，通过交叉口所在路段坡度上下游路段车辆速度计算平均行驶速度。6. The method for calculating delay at signalized intersections in mountainous cities according to claim 3, characterized in that: the average vehicle speed near the stop line of the newly-built intersection entrance road is obtained by the following method: determine the relational function of vehicle speed and road gradient , the average driving speed is calculated by the vehicle speed of the upstream and downstream sections of the road section where the intersection is located.7.根据权利要求1所述的山地城市信号交叉口延误计算方法，其特征在于：所述车辆到达率通过以下方法获取：7. The method for calculating delay at signalized intersections in mountainous cities according to claim 1, wherein the vehicle arrival rate is obtained by the following method:计算零坡度路段某断面的车辆到达率λ₀，车辆行驶至交叉口进口道停车线附近时，根据车辆速度随道路坡度的变化关系，得到平均纵坡坡度为i的进口道停车线附近的车辆到达率的计算方法为λ_i＝[f(V₀,i)/V₀]*λ₀。Calculate the vehicle arrival rate λ₀ of a certain section of the zero-slope road section. When the vehicle travels near the stop line of the entrance road at the intersection, according to the relationship between the vehicle speed and the slope of the road, the vehicles near the stop line of the entrance road with an average longitudinal slope of i are obtained The calculation method of the arrival rate is λ_i =[f(V₀ ,i)/V₀ ]*λ₀ .8.根据权利要求7所述的山地城市信号交叉口延误计算方法，其特征在于：利用山地城市信号交叉口进口道饱和流量和车辆到达率，计算山地城市信号交叉口的车辆周期平均延误，包括：基于Webster公式的延误计算方法8. The delay calculation method of signalized intersections in mountainous cities according to claim 7, characterized in that: utilize the saturated flow rate and vehicle arrival rate of the entrance road of signalized intersections in mountainous cities to calculate the vehicle cycle average delay of signalized intersections in mountainous cities, including : Delay calculation method based on Webster formula$\stackrel{<span><span>\&OverBar;</span>\&OverBar;</span>}{\mathrm{<span><span>d</span>d</span>}}<span><span>=</span>=</span>\frac{\mathrm{<span><span>C</span>C</span>}{<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\mathrm{<span><span>u</span>u</span>}<span><span>)</span>)</span>}^{\mathrm{<span><span>2</span>2</span>}}}{\mathrm{<span><span>2</span>2</span>}<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>{\mathrm{<span><span>y</span>the\; y</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>)</span>)</span>}<span><span>+</span>+</span>\frac{{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}^{\mathrm{<span><span>2</span>2</span>}}}{\mathrm{<span><span>2</span>2</span>}{\mathrm{<span><span>\&lambda;</span>\&lambda;</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>)</span>)</span>}<span><span>-</span>-</span>\mathrm{<span><span>0.65</span>0.65</span>}{<span><span>(</span>(</span>\frac{\mathrm{<span><span>C</span>C</span>}}{{{\mathrm{<span><span>\&lambda;</span>\&lambda;</span>}}_{\mathrm{<span><span>i</span>i</span>}}}^{\mathrm{<span><span>2</span>2</span>}}}<span><span>)</span>)</span>}^{\frac{\mathrm{<span><span>1</span>1</span>}}{\mathrm{<span><span>3</span>3</span>}}}<span><span>*</span>*</span>{{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>2</span>2</span>}<span><span>+</span>+</span>\mathrm{<span><span>5</span>5</span>}\mathrm{<span><span>u</span>u</span>}<span><span>)</span>)</span>}$式中：C为信号周期时长，单位为s；λ_i为车辆到达率，单位为辆/s；x_i为饱和度；u为绿信比，等于g/C，其中g为有效绿灯时长，单位为s；y_i为流量比，等于λ_i/S_i，其中S_i为饱和流量，单位为辆/s。In the formula: C is the signal period length, the unit is s; λ_i is the vehicle arrival rate, the unit is vehicle/s; x_i is the saturation; u is the green signal ratio, which is equal to g/C, where g is the effective green light duration, The unit is s; y_i is the flow ratio, which is equal to λ_i /S_i , where S_i is the saturated flow, and the unit is vehicle/s.9.根据权利要求7所述的山地城市信号交叉口延误计算方法，其特征在于：利用山地城市信号交叉口进口道饱和流量和车辆到达率，计算山地城市信号交叉口的车辆周期平均延误，包括：基于HCM2010公式的延误计算方法9. The method for calculating delay at signalized intersections in mountainous cities according to claim 7, characterized in that: utilize the saturated flow rate and vehicle arrival rate of the entrance road at signalized intersections in mountainous cities to calculate the average vehicle cycle delay at signalized intersections in mountainous cities, including : Delay calculation method based on HCM2010 formula$\stackrel{<span><span>\&OverBar;</span>\&OverBar;</span>}{\mathrm{<span><span>d</span>d</span>}}<span><span>=</span>=</span>\frac{\mathrm{<span><span>C</span>C</span>}{<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\mathrm{<span><span>u</span>u</span>}<span><span>)</span>)</span>}^{\mathrm{<span><span>2</span>2</span>}}}{\mathrm{<span><span>2</span>2</span>}<span><span>\&lsqb;</span>\&lsqb;</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\mathrm{<span><span>min</span>min</span>}<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>,</span>,</span>{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>)</span>)</span>\mathrm{<span><span>u</span>u</span>}<span><span>\&rsqb;</span>\&rsqb;</span>}\mathrm{<span><span>P</span>P</span>}\mathrm{<span><span>F</span>f</span>}<span><span>+</span>+</span>\mathrm{<span><span>900</span>900</span>}\mathrm{<span><span>T</span>T</span>}<span><span>\&lsqb;</span>\&lsqb;</span><span><span>(</span>(</span>{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>-</span>-</span>\mathrm{<span><span>1</span>1</span>}<span><span>)</span>)</span><span><span>+</span>+</span>\sqrt{{<span><span>(</span>(</span>{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>-</span>-</span>\mathrm{<span><span>1</span>1</span>}<span><span>)</span>)</span>}^{\mathrm{<span><span>2</span>2</span>}}<span><span>+</span>+</span>\frac{\mathrm{<span><span>8</span>8</span>}{\mathrm{<span><span>kIx</span>kSi</span>}}_{\mathrm{<span><span>i</span>i</span>}}}{\mathrm{<span><span>c</span>c</span>}\mathrm{<span><span>T</span>T</span>}}}<span><span>\&rsqb;</span>\&rsqb;</span><span><span>+</span>+</span>\frac{\mathrm{<span><span>1800</span>1800</span>}{\mathrm{<span><span>Q</span>Q</span>}}_{\mathrm{<span><span>b</span>b</span>}}<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>{\mathrm{<span><span>u</span>u</span>}}_{\mathrm{<span><span>i</span>i</span>}}^{<span><span>*</span>*</span>}<span><span>)</span>)</span>\mathrm{<span><span>t</span>t</span>}}{\mathrm{<span><span>c</span>c</span>}\mathrm{<span><span>T</span>T</span>}}<span><span>,</span>,</span>$其中：in:$\mathrm{<span><span>P</span>P</span>}\mathrm{<span><span>F</span>f</span>}<span><span>=</span>=</span>\frac{<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\mathrm{<span><span>P</span>P</span>}<span><span>)</span>)</span>{\mathrm{<span><span>f</span>f</span>}}_{\mathrm{<span><span>P</span>P</span>}\mathrm{<span><span>A</span>A</span>}}}{\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\mathrm{<span><span>u</span>u</span>}}$P＝r_puP＝r_p u式中：PF为车辆到达类型对应的取值；r_p、f_PA为车辆到达类型的修正系数；u为绿信比，等于g/C，其中g为有效绿灯时长，单位为s；In the formula: PF is the value corresponding to the vehicle arrival type; r_p and f_PA are the correction coefficients of the vehicle arrival type; u is the green signal ratio, which is equal to g/C, where g is the effective green light duration, and the unit is s;$\mathrm{<span><span>t</span>t</span>}<span><span>=</span>=</span>\left\{\begin{array}{cc}\mathrm{<span><span>0</span>0</span>}<span><span>,</span>,</span>& {\mathrm{<span><span>Q</span>Q</span>}}_{\mathrm{<span><span>b</span>b</span>}}<span><span>=</span>=</span>\mathrm{<span><span>0</span>0</span>}\\ \mathrm{<span><span>m</span>m</span>}\mathrm{<span><span>i</span>i</span>}\mathrm{<span><span>n</span>no</span>}<span><span>\{</span>\{</span>\mathrm{<span><span>T</span>T</span>}<span><span>,</span>,</span>\frac{{\mathrm{<span><span>Q</span>Q</span>}}_{\mathrm{<span><span>b</span>b</span>}}}{\mathrm{<span><span>c</span>c</span>}<span><span>\&lsqb;</span>\&lsqb;</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\mathrm{<span><span>m</span>m</span>}\mathrm{<span><span>i</span>i</span>}\mathrm{<span><span>n</span>no</span>}<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>,</span>,</span>{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>)</span>)</span><span><span>\&rsqb;</span>\&rsqb;</span>}<span><span>\}</span>\}</span><span><span>,</span>,</span>& {\mathrm{<span><span>Q</span>Q</span>}}_{\mathrm{<span><span>b</span>b</span>}}<span><span>\&NotEqual;</span>\&NotEqual;</span>\mathrm{<span><span>0</span>0</span>}\end{array}\right.$${\mathrm{<span><span>u</span>u</span>}}^{<span><span>*</span>*</span>}<span><span>=</span>=</span>\left\{\begin{array}{cc}\mathrm{<span><span>0</span>0</span>}<span><span>,</span>,</span>& \mathrm{<span><span>t</span>t</span>}<span><span><</span><</span>\mathrm{<span><span>T</span>T</span>}\\ \mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\frac{\mathrm{<span><span>c</span>c</span>}\mathrm{<span><span>T</span>T</span>}}{{\mathrm{<span><span>Q</span>Q</span>}}_{\mathrm{<span><span>b</span>b</span>}}<span><span>\&lsqb;</span>\&lsqb;</span>\mathrm{<span><span>1</span>1</span>}<span><span>-</span>-</span>\mathrm{<span><span>m</span>m</span>}\mathrm{<span><span>i</span>i</span>}\mathrm{<span><span>n</span>no</span>}<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>,</span>,</span>{\mathrm{<span><span>x</span>x</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>)</span>)</span><span><span>\&rsqb;</span>\&rsqb;</span>}<span><span>,</span>,</span>& \mathrm{<span><span>t</span>t</span>}<span><span>></span>></span>\mathrm{<span><span>T</span>T</span>}\end{array}\right.$式中：C为信号周期时长，单位为s；x_i为饱和度；T为分析时长，单位为h；k为信控方式校正参数；I为车辆到达类型；Q_b为周期初始时间车辆排队长度，c为交叉口通行能力，单位为辆/h。In the formula: C is the length of the signal cycle, the unit is s; x_i is the saturation; T is the analysis time, the unit is h; k is the correction parameter of the signal control mode; I is the type of vehicle arrival; Q_b is the vehicle queuing at the initial time of the cycle Length, c is the traffic capacity of the intersection, and the unit is vehicle/h.