CN105788301A - Special lane left-turn intersection pre-stop line and pre-signal setting method - Google Patents

Special lane left-turn intersection pre-stop line and pre-signal setting method Download PDF

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CN105788301A
CN105788301A CN201610164786.XA CN201610164786A CN105788301A CN 105788301 A CN105788301 A CN 105788301A CN 201610164786 A CN201610164786 A CN 201610164786A CN 105788301 A CN105788301 A CN 105788301A
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signal
stop line
piggybacking
crossing
vehicle
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CN105788301B (en
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赵靖
韩印
姚佼
夏晓梅
杨晓芳
马晓旦
何胜学
范海雁
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University of Shanghai for Science and Technology
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    • G08G1/00—Traffic control systems for road vehicles
    • G08G1/07—Controlling traffic signals
    • G08G1/08—Controlling traffic signals according to detected number or speed of vehicles
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Abstract

The invention relates to a special lane left-turn intersection pre-stop line and pre-signal setting method, which adopts a special lane left-turn signal to control an intersection, and carries out integrated optimization on special pre-stop line and pre-signal setting, so that traffic capacity is improved on the basis of ensuring pass safety. The optimization setting method takes maximum traffic capacity as an optimization target, and establishes a linear programming model for optimizing with constraint conditions of queuing length, vehicle clearing and optimization parameter value range and the like being taken into consideration. The method can enable special lane left-turn intersection special pre-stop line and pre-signal setting key parameters to be integrated into a unified optimization model for synchronous optimization, thereby giving full play to the pass efficiency of the special lane left-turn intersection and relieving traffic jam.

Description

The pre-stop line in piggybacking left-hand rotation crossing and pre-signal method to set up
Technical field
The present invention relates to a kind of traffic signalization intersection parking line, signal timing dial method to set up, more particularly, it relates to a kind of pre-stop line in piggybacking left-hand rotation crossing and pre-signal method to set up.
Background technology
Level-crossing is the bottleneck node of urban highway traffic, and in order to improve the utilization ratio of crossing time-space distribution, a kind of non-general intersection adopting " piggybacking left-hand rotation " is suggested.But, current method for designing mainly continues to use the method for designing of general closed planar crossing, for the main by virtue of experience value of the distinctive pre-stop line in piggybacking left-hand rotation crossing and pre-signal, there are no optimal design-aside method targetedly, and do not retrieve the patent of invention of this kind of method yet.
Through the literature search of prior art is found, there is OFF signal to control the Optimization Design of level-crossing, mainly have following several:
1, conventional signalized crossing geometry designs.Specifically include the design of intersection parking line position, lane function division, intersection expanded segment length design etc..It there is relevant regulations by " the urban road intersection planning specification GB50647-2011 ", " urban road engineering design specification CJJ37-2012 ", " urban road intersection design discipline CJJ152-2010 " of China.
2, conventional signalized crossing signal controls.Specifically include signal phase phase sequence, cycle duration, respectively flow to green time distribution etc..Basic stock in China includes " urban traffic control ", " traffic administration and control ".
3, piggybacking left-hand rotation crossing design.Piggybacking left-hand rotation crossing is a kind of unconventional crossing method for designing, the subregion of exit lane is set to integrated functional zonation by it, utilize pre-signal control, integrated functional zonation is used as exit lane or import left turn lane in the different phase of signal period, extra right of way is provided, thus improving the traffic capacity of crossing for left-turning traffic.This method for designing is described in application for a patent for invention " traffic indication system of a kind of crossroad piggybacking left-hand rotation and control method " (application number 201510675428.0)；Its traffic organization and signal timing dial are described by application for a patent for invention " piggybacking intersection traffic tissue to turning left to exit ramp and signal timing dial method " (application number 201410276115.3)；And according to Sina website's message, piggybacking left-hand rotation crossing is applied (http://news.sina.com.cn/c/p/2014-05-16/165130151057.shtml) in Handan, Hebei.
Method 1 and method 2 are all the methods for designing controlling crossing for normal signal, there has been comparatively ripe technological achievement at present.
Method 3 proposes piggybacking this intersection type of left-hand rotation, by the dynamic use to exit lane, can improve the traffic capacity of crossing.Pre-stop line is set in upstream, crossing and it is carried out pre-signal control is the different key Design content controlling crossing with normal signal of this intersection type.But the method for designing of the signalized crossing that currently mainly follows conventional lines, is sequentially carried out pre-stop line position and pre-signal timing design.Wherein, pre-stop line is generally adopted in method 1 " urban road intersection planning specification GB50647-2011 " midplane crossing inlet road broadening segment length value, and in application for a patent for invention 201410276115.3, rule of thumb suggestion takes 30-60m；Pre-signal control is generally adopted the timing method that in method 2, crossing main signal is identical, main proposition corresponding requirements in signal phase in application for a patent for invention 201410276115.3 and 201510675428.0.
Traditional design methods does not consider between pre-stop line position, pre-signal timing, crossing main signal timing interrelated, do not recognize that pre-stop line and the pre-signal of piggybacking left-hand rotation crossing arrange and there is following contradiction: retrain angle from queue length, pre-stop line and intersection parking distance between centers of tracks should be the bigger the better, more vehicle can be held, improve operational efficiency；But emptying constraint angle from vehicle, pre-stop line and intersection parking distance between centers of tracks should be the smaller the better, can reduce vehicle clean up time, improve operational efficiency.Therefore, prior art lacks of the specific pre-stop line in piggybacking left-hand rotation crossing and the comparatively scientific and reasonable method to set up of pre-signal control.
Summary of the invention
Defect for prior art, the invention aims to provide a kind of pre-stop line in piggybacking left-hand rotation crossing and pre-signal method to set up, the method is for the piggybacking left-hand rotation crossing above-mentioned contradiction in pre-stop line and pre-signal are arranged, its pre-stop line position and pre-signal timing key parameter are incorporated in a unified Optimized model, carry out Synchronous fluorimetry, thus lifting up high traffic ability on the basis ensureing current safety.
Technical scheme is as follows:
A kind of pre-stop line in piggybacking left-hand rotation crossing and pre-signal method to set up, by solving following Optimized model, the pre-stop line position of Synchronous fluorimetry and pre-signal timing.Optimized model linear programming model is stated, and using Maximum Traffic Capacity as optimization aim, and considers that queue length, vehicle empty and parameters optimization span constraints, wherein:
The input parameter of described Optimized model includes: sp, pre-stop line place enters the saturation volume rate of piggybacking left turn lane, veh/h；sI, piggybacking left turn lane is at the saturation volume rate at intersection parking line place, veh/h；N, piggybacking left turn lane number, bar；CI, main signal cycle duration, s；gI, main signal left-hand rotation green light start time, s；λI, main signal left-hand rotation split；rI', the right side import main signal left-hand rotation red light start time of studied import, s；V, average speed, m/s；vmin, minimum speed, m/s；vw, queue clearance wave-wave speed, m/s；D, the average headstock Ullage of queuing vehicle, m；δ, safe time interval, s；
The output parameter of described Optimized model includes: L, pre-stop line and intersection parking distance between centers of tracks, m；Cp, pre-signal cycle duration, s；gp, pre-signal green light start time, s；λp, pre-signal split；
Described optimization object function is the traffic capacity maximizing piggybacking left turn lane, as shown in formula (1)；
maxspλp(1)
The constraint of described queue length, it is desirable to piggybacking left turn lane length should be greater than being equal to the queue length entering this track left turning vehicle, namely meets formula (2) requirement；
L ≥ s I s p ( g I - g p - L v ) d 3600 ( s I - s p ) n - - - ( 2 )
The constraint that described vehicle empties, it is desirable to meet following four constraints:
One is that the vehicle that should meet all this exit ramps of use pre-signal green light start time all has passed through pre-stop line place section, namely meets formula (3) requirement；
g p ≥ r I ′ + L v m i n + δ - - - ( 3 )
Two is the traffic capacity that the piggybacking left turn lane traffic capacity at intersection parking line place should be greater than being equal to piggybacking left turn lane, to ensure that the left turning vehicle entering this track can pass through crossing in same phase place, do not occur vehicle to be detained, namely meet formula (4) requirement；
sIλI≥spλp(4)
Three is that the interval of pre-signal green light finish time left-hand rotation corresponding with main signal green light finish time should be greater than being equal to the left turning vehicle running time by piggybacking left turn lane, enter the vehicle of piggybacking left turn lane latter stage and also can pass through crossing, namely to meet formula (5) requirement in this phase place being guaranteed in pre-signal green light；
g I + λ I C I ≥ g p + λ p C p + L v m i n + δ - - - ( 5 )
Four is that crossing main pre-signal cycle duration should be consistent, to ensure that main pre-signal has good coordination to control effect, namely meets formula (6) requirement；
CI=Cp(6)
Described parameters optimization span should meet following four constraints:
One is the equal non-negative of parameters optimization, namely meets formula (7) requirement；
L,gp,λp,Cp≥0(7)
Two is pre-signal green light start time not should be greater than cycle duration, namely meets formula (8) requirement；
gp≤Cp(8)
Three is that pre-signal split cannot be greater than 1, namely meets formula (9) requirement；
λp≤1(9)
Four is pre-signal Effective Green Time finish time be import left turn lane queue clearance arrive pre-stop line moment, namely meet formula (10) requirement.
g p + λ p C p ≤ g I + L v w - - - ( 10 )
Needing in above-mentioned optimization process to consider: (1) retrains angle from queue length, it is more remote more good that pre-stop line position is arranged on distance intersection parking line, can hold more queuing vehicle；(2) emptying constraint angle from vehicle, it is more near more good that pre-stop line position is arranged on distance intersection parking line, can reduce vehicle clean up time；This optimal design-aside method considers the contradiction of these two aspects, is based upon in a unified Optimized model, thus ensureing that the traffic efficiency making this crossing design in piggybacking left-hand rotation crossing pattern on the basis of current safety is not fully exerted.
The present invention compared with the existing technology, has the following advantages and beneficial effect:
1, the invention provides a kind of pre-stop line for piggybacking left-hand rotation crossing and pre-signal method to set up.
2, the method for the present invention is without changing crossing main signal timing, can when given main signal timing, it is achieved the optimal design-aside to the pre-stop line in piggybacking left-hand rotation crossing and pre-signal.
3, the method for the present invention consider queue length constraint and vehicle empty constraint this to contradiction, ensureing on the basis of current safety, the traffic capacity of piggybacking left turn lane can be maximized.
Accompanying drawing explanation
Fig. 1 is major parameter schematic diagram in the present invention；
Fig. 2 is the schematic diagram that in the present invention, vehicle empties constraint；
Fig. 3 is geometrical condition schematic diagram in crossing in the embodiment of the present invention 1.
Detailed description of the invention
Below in conjunction with drawings and Examples, the present invention is further illustrated.
A kind of pre-stop line in piggybacking left-hand rotation crossing and pre-signal method to set up, by solving following Optimized model, the pre-stop line position of Synchronous fluorimetry and pre-signal timing；Optimized model linear programming model is stated, and using Maximum Traffic Capacity as optimization aim, and considers that queue length, vehicle empty and parameters optimization span constraints.The major parameter signal of model is as it is shown in figure 1, wherein: 1 be main signal, 2 be pre-signal, 3 by research import, A be pre-stop line, 4 be piggybacking left turn lane, 5 be import left turn lane, 6 by the right side import of research import.
The input parameter of Optimized model includes: sp, pre-stop line place enters the saturation volume rate of piggybacking left turn lane, veh/h；sI, piggybacking left turn lane is at the saturation volume rate at intersection parking line place, veh/h；N, piggybacking left turn lane number, bar；CI, main signal cycle duration, s；gI, main signal left-hand rotation green light start time, s；λI, main signal left-hand rotation split；rI', the right side import main signal left-hand rotation red light start time of studied import, s；V, average speed, m/s；vmin, minimum speed, m/s；vw, queue clearance wave-wave speed, m/s；D, the average headstock Ullage of queuing vehicle, m；δ, safe time interval, s；
The output parameter of Optimized model includes: L, pre-stop line and intersection parking distance between centers of tracks, m；Cp, pre-signal cycle duration, s；gp, pre-signal green light start time, s；λp, pre-signal split；
Described object function is the traffic capacity maximizing piggybacking left turn lane, as shown in formula (1)；
maxspλp(1)
The constraint of queue length, it is desirable to piggybacking left turn lane length should be greater than being equal to the queue length entering this track left turning vehicle, namely meets formula (2) requirement；
L ≥ s I s p ( g I - g p - L v ) d 3600 ( s I - s p ) n - - - ( 2 )
The constraint that vehicle empties, be required to meet following four constraints (as in figure 2 it is shown, wherein: A is pre-stop line, B be intersect stop line, D by the main signal left-hand rotation green light phase place of right side import of research import, R be main signal left-hand rotation green light phase place, F be pre-signal green light phase place):
One is that the vehicle that should meet all this exit ramps of use pre-signal green light start time all has passed through pre-stop line place section, namely meets formula (3) requirement；
g p ≥ r I ′ + L v m i n + δ - - - ( 3 )
Two is the traffic capacity that the piggybacking left turn lane traffic capacity at intersection parking line place should be greater than being equal to piggybacking left turn lane, to ensure that the left turning vehicle entering this track can pass through crossing in same phase place, do not occur vehicle to be detained, namely meet formula (4) requirement；
sIλI≥spλp(4)
Three is that the interval of pre-signal green light finish time left-hand rotation corresponding with main signal green light finish time should be greater than being equal to the left turning vehicle running time by piggybacking left turn lane, enter the vehicle of piggybacking left turn lane latter stage and also can pass through crossing, namely to meet formula (5) requirement in this phase place being guaranteed in pre-signal green light；
g I + λ I C I ≥ g p + λ p C p + L v m i n + δ - - - ( 5 )
Four is that crossing main pre-signal cycle duration should be consistent, to ensure that main pre-signal has good coordination to control effect, namely meets formula (6) requirement；
CI=Cp(6)
Parameters optimization span should meet following four constraints:
One is the equal non-negative of parameters optimization, namely meets formula (7) requirement；
L,gp,λp,Cp≥0(7)
Two is pre-signal green light start time not should be greater than cycle duration, namely meets formula (8) requirement；
gp≤Cp(8)
Three is that pre-signal split cannot be greater than 1, namely meets formula (9) requirement；
λp≤1(9)
Four is pre-signal Effective Green Time finish time be import left turn lane queue clearance arrive pre-stop line moment, namely meet formula (10) requirement.
g p + λ p C p ≤ g I + L v w - - - ( 10 )
Needing in above-mentioned optimization process to consider: (1) retrains angle from queue length, it is more remote more good that pre-stop line position is arranged on distance intersection parking line, can hold more queuing vehicle；(2) emptying constraint angle from vehicle, it is more near more good that pre-stop line position is arranged on distance intersection parking line, can reduce vehicle clean up time；This optimal design-aside method considers the contradiction of these two aspects, is based upon in a unified Optimized model, thus ensureing that the traffic efficiency making this crossing design in piggybacking left-hand rotation crossing pattern on the basis of current safety is not fully exerted.
Specific embodiment:
Crossing geometrical condition in the embodiment of the present invention is as it is shown on figure 3, wherein: E is east import, S is southing mouth, N is northing mouth, W is western import.Crossing main signal timing is as shown in table 1.Existing western import proposes puts 1 piggybacking left turn lane, adopts the method in the present invention, is target by its Maximum Traffic Capacity after arranging piggybacking left turn lane, carries out pre-stop line position and pre-signal timing designing, and contrasts with the design of conventional cross mouth.Design driver is: pre-stop line place enters the saturation volume rate of piggybacking left turn lane, sp, take 1600veh/h；Piggybacking left turn lane is at the saturation volume rate at intersection parking line place, sI, take 1800veh/h；Main signal cycle duration, CITake 120s；Main signal left-hand rotation green light start time, gI, take 60s；Main signal left-hand rotation split, λI, take 0.25；Southing mouth main signal left-hand rotation red light start time, rI', take 20s；Average speed, v, take 10m/s；Minimum speed, vmin, take 6m/s；Queue clearance wave-wave speed, vw, take 4.5m/s；The average headstock Ullage of queuing vehicle, d, take 7m；Safe time interval, δ, take 2s.
Table 1
Detailed process is summarized as follows:
Step 1: above-mentioned input parameter is substituted into the mathematical programming model that the present invention sets up.
max 1600 λ p s . t . L ≥ 1800 × 1600 ( 60 - g p - L / 10 ) × 7 / [ 3600 ( 1800 - 1600 ) ] g p ≥ 20 + L / 6 + 2 1800 × 0.25 ≥ 1600 λ p 60 + 0.25 × 120 ≥ g p + λ p C p + L / 6 + 2 C p = 120 g p ≤ C p λ p ≤ 1 g p + λ p C p ≤ 60 + L / 4.5 L , g p , λ p , C p ≥ 0
Step 2: above-mentioned model is linear programming model, can adopt simplex method or duty Optimization software (such as LINGO) to solve.Optimum results is that pre-stop line position is arranged on from intersection parking line L=72.0m place, pre-signal cycle duration (Cp) for 120s, pre-signal green light start time (gp) for 50s, pre-signal split (λp) it is 0.21.
Step 3: design research.Using the traffic capacity as evaluation index, traditional design scheme and improvement project of the present invention are contrasted.Shown in the traffic capacity such as formula (11) of each track, crossing group.In traditional design scheme, pre-stop line takes 60m with intersection parking distance between centers of tracks with reference to broadening segment length in " urban road intersection planning specification GB50647-2011 ", and pre-signal timing is identical with crossing western import left rotaring signal timing.
ci=siniλi(11)
In formula: ciFor the traffic capacity of each track, crossing group, veh/h；siFor the saturation volume rate of each track, crossing group, unification takes 1800veh/h；niNumber of track-lines for each track, crossing group；λiFor the split that crossing respectively flows to.
As shown in table 2, by the inventive method, pre-stop line position and pre-signal timing to western import piggybacking left turn lane are optimized, the present embodiment can be made when other track group traffic capacity of crossing all remains unchanged, the western import piggybacking left turn lane traffic capacity improves 57.7%, this flow direction adds up to the traffic capacity to improve 18.6%, makes piggybacking left-hand rotation intersection efficiency obtain and gives full play to.
Table 2
The above-mentioned description to embodiment is to be understood that for ease of those skilled in the art and apply the present invention.This embodiment obviously easily can be made various amendment by person skilled in the art, and General Principle described herein is applied in other embodiments without through performing creative labour.Therefore, the invention is not restricted to embodiment here, those skilled in the art's announcement according to the present invention, the improvement made without departing from scope and amendment all should within protection scope of the present invention.

Claims (2)

1. the pre-stop line in piggybacking left-hand rotation crossing and pre-signal method to set up, it is characterized in that: the key parameter that the distinctive pre-stop line in crossing of being turned left by piggybacking and pre-signal are arranged is incorporated in a unified Optimized model, carry out Synchronous fluorimetry, thus lifting up high traffic ability on the basis ensureing current safety, this Optimized model linear programming model is stated, using Maximum Traffic Capacity as optimization aim, and consider that queue length, vehicle empty and parameters optimization span constraints, wherein:
The input parameter of described Optimized model includes: sp, pre-stop line place enters the saturation volume rate of piggybacking left turn lane, veh/h；sI, piggybacking left turn lane is at the saturation volume rate at intersection parking line place, veh/h；N, piggybacking left turn lane number, bar；CI, main signal cycle duration, s；gI, main signal left-hand rotation green light start time, s；λI, main signal left-hand rotation split；r′I, the right side import main signal left-hand rotation red light start time of studied import, s；V, average speed, m/s；vmin, minimum speed, m/s；vw, queue clearance wave-wave speed, m/s；D, the average headstock Ullage of queuing vehicle, m；δ, safe time interval, s；
The output parameter of described Optimized model includes: L, pre-stop line and intersection parking distance between centers of tracks, m；Cp, pre-signal cycle duration, s；gp, pre-signal green light start time, s；λp, pre-signal split；
Described optimization object function is the traffic capacity maximizing piggybacking left turn lane, as shown in formula (1)；
maxspλp(1)
The constraint of described queue length, it is desirable to piggybacking left turn lane length should be greater than being equal to the queue length entering this track left turning vehicle, namely meets formula (2) requirement；
L ≥ s I s p ( g I - g p - L v ) d 3600 ( s I - s p ) n - - - ( 2 )
The constraint that described vehicle empties, it is desirable to meet following four constraints:
One is that the vehicle that should meet all this exit ramps of use pre-signal green light start time all has passed through pre-stop line place section, namely meets formula (3) requirement；
g p ≥ r I ′ + L v min + δ - - - ( 3 )
Two is the traffic capacity that the piggybacking left turn lane traffic capacity at intersection parking line place should be greater than being equal to piggybacking left turn lane, to ensure that the left turning vehicle entering this track can pass through crossing in same phase place, do not occur vehicle to be detained, namely meet formula (4) requirement；
sIλI≥spλp(4)
Three is that the interval of pre-signal green light finish time left-hand rotation corresponding with main signal green light finish time should be greater than being equal to the left turning vehicle running time by piggybacking left turn lane, enter the vehicle of piggybacking left turn lane latter stage and also can pass through crossing, namely to meet formula (5) requirement in this phase place being guaranteed in pre-signal green light；
g I + λ I C I ≥ g p + λ p C p + L v m i n + δ - - - ( 5 )
Four is that crossing main pre-signal cycle duration should be consistent, to ensure that main pre-signal has good coordination to control effect, namely meets formula (6) requirement；
CI=Cp(6)
Described parameters optimization span should meet following four constraints:
One is the equal non-negative of parameters optimization, namely meets formula (7) requirement；
L,gp,λp,Cp≥0(7)
Two is pre-signal green light start time not should be greater than cycle duration, namely meets formula (8) requirement；
gp≤Cp(8)
Three is that pre-signal split cannot be greater than 1, namely meets formula (9) requirement；
λp≤1(9)
Four is pre-signal Effective Green Time finish time be import left turn lane queue clearance arrive pre-stop line moment, namely meet formula (10) requirement.
g p + λ p C p ≤ g I + L v w - - - ( 10 )
2. the pre-stop line in piggybacking left-hand rotation crossing according to claim 1 and pre-signal method to set up, it is characterized in that: above-mentioned optimization process needs consider: (1) retrains angle from queue length, it is more remote more good that pre-stop line position is arranged on distance intersection parking line, can hold more queuing vehicle；(2) emptying constraint angle from vehicle, it is more near more good that pre-stop line position is arranged on distance intersection parking line, can reduce vehicle clean up time；This optimal design-aside method considers the contradiction of these two aspects, is based upon in a unified Optimized model, thus ensureing that the traffic efficiency making this crossing design in piggybacking left-hand rotation crossing pattern on the basis of current safety is not fully exerted.
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