CN113436448B - Signalized intersection lane borrowing left-turning lane design method and system - Google Patents
Signalized intersection lane borrowing left-turning lane design method and system Download PDFInfo
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Abstract
The invention relates to a design method and a system for a left turn lane of a signal intersection, wherein the method comprises the steps of acquiring intersection data information, and establishing a first relational expression between the green time of a left turn pre-signal phase and the length of the left turn lane of the lane borrowing; acquiring traffic flow data information, establishing a second relational expression between the length of a left-turn lane for borrowing and the number of left-turn vehicles capable of borrowing, and determining the optimal length of the left-turn lane for borrowing; and determining the starting time and the ending time of the left-turn pre-signal phase according to the optimal length of the left-turn lane and intersection data information, and generating a left-turn pre-signal phase timing scheme. The invention combines the traffic flow characteristics, reasonably considers the influence of the intersection structure, the signal timing scheme and the like, can calculate the lane length of the left turn and the left turn pre-signal phase timing scheme which can maximize the number of left turn vehicles which can be borrowed, optimize the management effect of the left turn of the borrowed lane, and provide reference for the optimization adjustment of the left turn intersection of the borrowed lane.
Description
Technical Field
The invention relates to the technical field of road traffic, in particular to a signalized intersection left-turn lane design method and system.
Background
With the increasingly serious urban traffic jam, the public has an increasing interest in traffic, and urban managers and residents urgently want to seek higher technical management means to relieve the urban traffic jam. The left-turn lane borrowing management method is a low-cost management method, can effectively improve the left-turn traffic capacity of the signalized intersection, and is applied to many cities. Although the implementation of left-turn lane borrowing has certain requirements on the structure of the intersection and is an unconventional management means, the good effect obtained after the implementation is widely confirmed.
At present, the characteristics, the application range and the like of the lane borrowing left turn management mode are analyzed in detail through related research, a setting model is established, but the model solving process is complex, and timely adjustment by a traffic manager is not facilitated according to actual conditions.
Disclosure of Invention
The invention aims to solve the technical problem of providing a method and a system for designing a left-turn lane at a signalized intersection by means of a lane, aiming at the defects of the prior art.
The technical scheme for solving the technical problems is as follows: a signalized intersection left-turn lane borrowing design method comprises the following steps:
acquiring intersection data information, and establishing a first relational expression between the green time of a left turn pre-signal phase and the length of a left turn lane of a borrowed lane according to the intersection data information;
acquiring traffic flow data information, establishing a second relational expression between the length of a left-turn lane for borrowing and the number of left-turn vehicles for borrowing according to the traffic flow data information, and determining the optimal length of the left-turn lane for borrowing according to the first relational expression and the second relational expression;
and determining the starting time and the ending time of the left-turn pre-signal phase according to the optimal length of the borrowed left-turn lane and the intersection data information, and generating a left-turn pre-signal phase timing scheme.
The invention has the beneficial effects that: the design method of the signalized intersection left-turn lane of the invention considers the intersection data information and determines the relationship between the green time of the left-turn pre-signal phase and the length of the left-turn lane, and determining the optimal length of the borrowed left-turn lane by combining the relationship between the length of the borrowed left-turn lane determined by the traffic flow data information and the number of the borrowed left-turn vehicles, determining the starting time and the ending time of the left-turn pre-signal phase according to the optimal length of the left-turn lane and the intersection data information, can change and adjust aiming at different intersections, so that the method can more conveniently evaluate the utilization condition of the left-turn lane of the borrowed lane, the method can better provide reference for traffic managers, guarantee for designing an optimal lane borrowing left-turn lane, improve the lane borrowing left-turn traffic efficiency and improve the traffic management level, is simple and rapid in calculation method, and is beneficial to convenient implementation of traffic management departments.
On the basis of the technical scheme, the invention can be further improved as follows:
further: establishing a left turn pre-signal phase according to the intersection data informationTime T of green light Preparing And length l of lane for left turn lane j The specific calculation method of the first relational expression therebetween is as follows:
wherein l j For the length of the left-turn lane, l' is the distance traveled by the left-turn vehicle in the intersection, T 1 End time of phase at which oncoming vehicle is traveling, T 2 Left turn corresponds to a left turn phase green light end time, t s1 Safe time intervals for emptying the left-turn lane of a borrowed road, t s2 Safe time intervals for prohibiting left-turn vehicles from entering a left-turn lane of a borrowed lane, v 1 Before the left turn signal phase is turned on, the average speed v of the last opposite vehicle passing through the intersection and the left turn lane of the lane borrowing 2 When the left turn signal phase is over, the average speed, delta T, of the last left-turn vehicle in the left-turn lane 1 Predicting the signal phase start time T for a left turn s End time T of phase in which the opposite vehicle runs 1 Time interval between, Δ T 2 Predicting the signal phase end time T for a left turn e Left-turn phase green light end time T corresponding to left-turn lane borrowing 2 The time interval in between.
The beneficial effects of the further scheme are as follows: determining the left turn pre-signal phase start time T through the intersection data information s End time T of phase of running with opposite vehicle 1 Time interval Δ T therebetween 1 And left turn pre-signal phase end time T e Left-turn phase green light end time T corresponding to left-turn lane borrowing 2 In betweenTime interval Δ T 2 So as to accurately establish the green time T of the left-turn pre-signal phase Preparation of And length l of lane for left turn lane j The first relational expression between the first and the second relational expressions facilitates subsequent determination of the optimal length of the left-turn lane.
Further: the specific calculation method for determining the second relational expression between the length of the left-turn lane for borrowing and the number of left-turn vehicles capable of borrowing according to the traffic flow data information and determining the optimal length of the left-turn lane for borrowing according to the first relational expression and the second relational expression comprises the following steps:
suppose a left-turn lane length l of lane borrowing j Is more than or equal to the optimal length l of the left-turn lane of the borrowed lane b Then the number of left-turning vehicles N can be borrowed in a single signal period j The calculation formula of (2) is as follows:
wherein h is t Average headway, T, for vehicles entering a left-turn lane of a tailgating Preparation of Pre-signal phase green time for left turn;
suppose a left-turn lane length l of lane borrowing j Is less than the optimal length l of the left-turn lane b The number of left-turning vehicles N which can be borrowed in a single signal period j The calculation formula of (2) is as follows:
wherein l j For borrowing the left-turn lane length, h s Averaging the head distances when vehicles in the left-turn lane are queued;
the optimal length l of the left-turn lane for borrowing is calculated by combining a formula (4) and a formula (5) b The formula of (1) is:
wherein l' is a left-turn vehicleDistance traveled by vehicle in intersection, T 1 End time of phase at which oncoming vehicle is traveling, T 2 Left turn corresponds to a left turn phase green light end time, t s1 Safe time intervals for emptying the left-turn lane of a borrowed road, t s2 Safe time intervals for prohibiting left-turn vehicles from entering a left-turn lane of a borrowed lane, v 1 Before the left turn signal phase is turned on, the average speed v of the last opposite vehicle passing through the intersection and the left turn lane of the lane borrowing 2 And when the left turn signal phase is ended, the average speed of the last lane-borrowing left-turn vehicle in the lane-borrowing left-turn lane.
The beneficial effects of the above further scheme are: by left-turn lane length l in lane borrowing j Optimum length l of left-turn lane for lane borrowing b The number N of left-turning vehicles which can borrow the lane in the corresponding single signal period when the vehicles are in different size relations j So that the number N of the left-turning vehicles which can be borrowed in the corresponding single signal period can be simultaneously calculated j The calculation formula of (a) solves the optimal length l of the left-turn lane of the borrowed lane b The method and the system can better provide reference for traffic managers, provide guarantee for designing an optimal lane borrowing left-turn lane and improve the passing efficiency.
Further: determining the starting time T of the left turn pre-signal phase according to the optimal length of the borrowed left turn lane and the intersection data information s And an end time T e The specific calculation formula of (A) is as follows:
wherein l' is the running distance of the left-turning vehicle in the intersection, T 1 End time of phase at which oncoming vehicle is traveling, T 2 Left turn corresponds to a left turn phase green light end time, t s1 Safe time intervals for emptying the left-turn lane of a borrowed road, t s2 For inhibiting left-turn of vehicleSafe time interval into a left-turn lane of a borrowed lane, v 1 Before the left turn signal phase is started, the average speed v of the last opposite vehicle passing through the intersection and the left turn lane of the borrowed lane 2 And when the left turn signal phase is ended, the average speed of the last lane-borrowing left-turn vehicle in the lane-borrowing left-turn lane.
The beneficial effects of the further scheme are as follows: through the optimal length of the borrowed left-turn lane and the intersection data information, the left-turn pre-signal phase starting time T can be accurately calculated s And an end time T e To thereby facilitate a signal phase start time T according to a left turn s And an end time T e And a corresponding timing scheme is generated, so that reference is better provided for traffic managers, guarantee is provided for designing an optimal lane borrowing left-turn lane, and dynamic adjustment can be performed according to the change of relevant parameters.
Further: the design method for the lane borrowing left-turn lane at the signalized intersection further comprises the following steps:
verifying the left-turn pre-signal phase timing scheme according to the left-turn lane passing capacity of the borrowed lane, which specifically comprises the following steps:
when the length of the lane left-turning lane of the lane borrowing at the intersection is greater than or equal to the optimal length of the lane left-turning lane of the lane borrowing, the traffic capacity of the lane left-turning lane of the lane borrowing is calculated according to the average headway and the signal period T, and the calculation formula is as follows:
when the length of the lane left-turning lane of the lane borrowing at the intersection is smaller than the optimal length of the lane left-turning lane of the lane borrowing, the traffic capacity of the lane left-turning lane of the lane borrowing is calculated according to the average head spacing and the signal period T, and the calculation formula is as follows:
to determine whether the left-turn pre-signal phase timing scheme is an optimal scheme.
The beneficial effects of the above further scheme are: the left-turn pre-signal phase timing scheme is verified to ensure that the left-turn pre-signal phase timing scheme is the optimal scheme, so that the intersection traffic efficiency is improved, and scientific guidance is provided for traffic management departments.
The invention also provides a system for designing the signalized intersection left-turn lane by borrowing the lane, which comprises a first processing module, a second processing module and a timing scheme module;
the first processing module is used for acquiring intersection data information and establishing a first relational expression between the green time of the left turn pre-signal phase and the length of a left turn lane of a borrowed lane according to the intersection data information;
the second processing module is used for acquiring traffic flow data information, establishing a second relational expression between the length of the borrowed left-turn lane and the number of left-turn vehicles capable of being borrowed according to the traffic flow data information, and determining the optimal length of the borrowed left-turn lane according to the first relational expression and the second relational expression;
and the timing scheme module determines the starting time and the ending time of the left-turn pre-signal phase according to the optimal length of the borrowed left-turn lane and the intersection data information, and generates a left-turn pre-signal phase timing scheme.
The system for designing the left-turn lane at the signalized intersection considers the data information of the intersection and determines the relationship between the green time of the left-turn pre-signal phase and the length of the left-turn lane at the signalized intersection, and determining the optimal length of the left-turn lane by combining the relationship between the length of the left-turn lane by borrowing and the number of left-turn vehicles by borrowing determined by the traffic flow data information, determining the starting time and the ending time of the left-turn pre-signal phase according to the optimal length of the left-turn lane and the intersection data information, can change and adjust aiming at different intersections, so that the method can evaluate the utilization condition of the left-turn lane by means of the lane change more conveniently, the method can better provide reference for traffic managers, guarantee for designing an optimal lane borrowing left-turn lane, improve the lane borrowing left-turn traffic efficiency and improve the traffic management level, is simple and rapid in calculation method, and is beneficial to convenient implementation of traffic management departments.
On the basis of the technical scheme, the invention can be further improved as follows:
further: the first processing module establishes a first relational expression between the left-turn pre-signal phase green light time and the lane borrowing left-turn lane length, and the first relational expression comprises the following concrete implementation steps:
wherein l j The length of a left-turn lane for lane borrowing, l' is the running distance of a left-turn vehicle in the intersection, T 1 End time of phase at which oncoming vehicle is traveling, T 2 Left turn corresponds to a left turn phase green light end time, t s1 Safe time intervals for emptying the left-turn lane of a borrowed road, t s2 Safe time intervals for prohibiting left-turn vehicles from entering a left-turn lane of a borrowed lane, v 1 Before the left turn signal phase is turned on, the average speed v of the last opposite vehicle passing through the intersection and the left turn lane of the lane borrowing 2 When the left turn signal phase is over, the average speed, delta T, of the last left-turn vehicle in the left-turn lane 1 Predicting the signal phase start time T for a left turn s End time T of phase in which the opposite vehicle runs 1 Time interval therebetween, Δ T 2 Predicting the signal phase end time T for a left turn e Left-turn phase green light end time T corresponding to left-turn lane borrowing 2 The time interval in between.
The beneficial effects of the above further scheme are: determining the starting time T of the left turn pre-signal phase through the intersection data information s End time T of phase in which the opposite vehicle runs 1 Time interval Δ T therebetween 1 And left turn pre-signal phase end time T e Left-turn phase green light end time T corresponding to left-turn lane borrowing 2 Time interval Δ T therebetween 2 And then the green time T of the left turn pre-signal phase can be accurately established Preparation of And length l of lane for left turn lane j The first relational expression between the first and the second relational expressions facilitates subsequent determination of the optimal length of the left-turn lane.
Further: the second processing module determines a second relational expression between the length of the borrowed left-turn lane and the number of the borrowed left-turn vehicles, and the concrete implementation of determining the optimal length of the borrowed left-turn lane according to the first relational expression and the second relational expression is as follows:
suppose a left-turn lane length l of lane borrowing j Is more than or equal to the optimal length l of the left-turn lane of the borrowed lane b The number of left-turning vehicles N which can be borrowed in a single signal period j The calculation formula of (c) is:
wherein h is t Average headway, T, for vehicles entering a left-turn lane of a tailgating Preparation of Pre-signal phase green time for left turn;
suppose a left-turn lane length l of lane borrowing j Is less than the optimal length l of the left-turn lane b Then the number of left-turning vehicles N can be borrowed in a single signal period j The calculation formula of (2) is as follows:
wherein l j For borrowing the left-turn lane length, h s Averaging the head distances when vehicles in the left-turn lane are queued;
the optimal length l of the left-turn lane for borrowing is calculated by combining the formula (4) and the formula (5) b The formula of (1) is:
wherein l' is the running distance of the left-turning vehicle in the intersection, T 1 End time of phase at which oncoming vehicle is traveling, T 2 Left turn corresponds to a left turn phase green light end time, t s1 Safe time intervals for emptying the left-turn lane of a borrowed road, t s2 Safe time intervals for prohibiting left-turn vehicles from entering a left-turn lane of a borrowed lane, v 1 Before the left turn signal phase is turned on, the average speed v of the last opposite vehicle passing through the intersection and the left turn lane of the lane borrowing 2 And when the left turn signal phase is ended, the average speed of the last lane-borrowing left-turn vehicle in the lane-borrowing left-turn lane.
The beneficial effects of the further scheme are as follows: by left-turn lane length l in lane borrowing j Optimum length l of left-turn lane for lane borrowing b Number of left-turn vehicles N that can be borrowed corresponding to different size relationships j So that the corresponding number N of the left-turning vehicles which can be borrowed can be simultaneously calculated j The calculation formula of (a) solves the optimal length l of the left-turn lane of the borrowed lane b The method and the system can better provide reference for traffic managers, provide guarantee for designing an optimal lane borrowing left-turn lane and improve the passing efficiency.
Further: the timing scheme module determines the left turn pre-signal phase starting time T according to the optimal length of the left turn lane and the intersection data information s And an end time T e The specific implementation of the method is as follows:
wherein l' is the running distance of the left-turning vehicle in the intersection, T 1 End time of phase at which oncoming vehicle is traveling, T 2 Corresponding left turn phase green for left turn of lane lendingEnd time of lamp, t s1 Safe time intervals for emptying the left-turn lane of a borrowed road, t s2 Safe time intervals for prohibiting left-turn vehicles from entering a left-turn lane of a borrowed lane, v 1 Before the left turn signal phase is turned on, the average speed v of the last opposite vehicle passing through the intersection and the left turn lane of the lane borrowing 2 And when the left turn signal phase is ended, the average speed of the last lane-borrowing left-turn vehicle in the lane-borrowing left-turn lane.
The beneficial effects of the further scheme are as follows: through the optimal length of the left-turn lane and the intersection data information, the left-turn pre-signal phase starting time T can be accurately calculated s And an end time T e To thereby facilitate a signal phase start time T according to a left turn s And an end time T e And a corresponding timing scheme is generated, so that reference is better provided for traffic managers, guarantee is provided for designing an optimal lane borrowing left-turn lane, and dynamic adjustment can be performed according to the change of relevant parameters.
Further: the second processing module is further configured to verify the left-turn pre-signal phase timing scheme according to the traffic capacity of a left-turn lane, specifically:
when the length of the left-turn lane at the intersection is greater than or equal to the optimal length of the left-turn lane at the intersection, calculating the traffic capacity of the left-turn lane at the intersection according to the average headway and the signal period T, wherein the calculation formula is as follows;
when the length of the lane left-turning lane of the lane borrowing at the intersection is smaller than the optimal length of the lane left-turning lane of the lane borrowing, calculating the traffic capacity of the lane left-turning lane of the lane borrowing according to the average vehicle head distance and the signal period T, wherein the calculation formula is as follows;
to determine whether the left-turn pre-signal phase timing scheme is an optimal scheme.
The beneficial effects of the above further scheme are: the left-turn pre-signal phase timing scheme is verified to ensure that the left-turn pre-signal phase timing scheme is the optimal scheme, so that the intersection passing efficiency is improved, and scientific guidance is provided for traffic management departments.
The invention also provides a computer-readable storage medium, on which a computer program is stored which, when executed by a processor, carries out the method.
The invention also provides signalized intersection left-turn lane borrowing design equipment which comprises the storage medium and a processor, wherein the processor realizes the steps of the method when executing the computer program on the storage medium.
Drawings
Fig. 1 is a schematic flow chart illustrating a method for designing a left-turn lane at a signalized intersection according to an embodiment of the present invention;
FIG. 2 is a schematic structural diagram of a signalized intersection according to an embodiment of the present invention;
FIG. 3 is a schematic view of a distance parameter at a signalized intersection according to an embodiment of the present invention;
FIG. 4 is a schematic representation of vehicle speed at a signalized intersection in accordance with an embodiment of the present invention;
FIG. 5 is a timing diagram of signalized intersections in accordance with an embodiment of the present invention;
fig. 6 is a schematic structural diagram of a signalized intersection lane-borrowing left-turn lane design system according to an embodiment of the present invention.
Detailed Description
The principles and features of this invention are described below in conjunction with the following drawings, which are set forth to illustrate, but are not to be construed to limit the scope of the invention.
As shown in fig. 1, a design method for a left-turn lane by means of a signalized intersection comprises the following steps:
s1: acquiring intersection data information, and establishing a first relational expression between the green time of a left-turn pre-signal phase and the length of a left-turn lane of a lane borrowing according to the intersection data information;
s2: acquiring traffic flow data information, establishing a second relational expression between the length of a left-turn lane for borrowing and the number of left-turn vehicles for borrowing according to the traffic flow data information, and determining the optimal length of the left-turn lane for borrowing according to the first relational expression and the second relational expression;
s3: and determining the starting time and the ending time of the left-turn pre-signal phase according to the optimal length of the borrowed left-turn lane and the intersection data information, and generating a left-turn pre-signal phase timing scheme.
The design method of the signalized intersection left-turn lane of the invention considers the intersection data information and determines the relation between the green time of the left-turn pre-signal phase and the length of the left-turn lane, and determining the optimal length of the left-turn lane by combining the relationship between the length of the left-turn lane by borrowing and the number of left-turn vehicles by borrowing determined by the traffic flow data information, determining the starting time and the ending time of the left-turn pre-signal phase according to the optimal length of the left-turn lane and the intersection data information, can change and adjust aiming at different intersections, so that the method can evaluate the utilization condition of the left-turn lane by means of the lane change more conveniently, the method can better provide reference for traffic managers, guarantee for designing an optimal lane borrowing left-turn lane, improve the lane borrowing left-turn traffic efficiency and improve the traffic management level, is simple and rapid in calculation method, and is beneficial to convenient implementation of traffic management departments.
In one or more embodiments of the invention, the establishing of the green time T of the left turn pre-signal phase according to the intersection data information Preparation of And length of lane for left-turn lane by lane change j The specific calculation method of the first relational expression between the following steps:
wherein l j The length of a left-turn lane for lane borrowing, l' is the running distance of a left-turn vehicle in the intersection, T 1 End time of phase at which oncoming vehicle is traveling, T 2 The left turn phase green light end time corresponding to the left turn of the lane can be obtained by traffic investigation, t s1 Safe time intervals for emptying tailgating left-turn lanes, t s2 In order to prohibit the left-turn vehicle from entering the safe time interval of the left-turn lane of the borrowed lane, the value v can be taken according to the traffic flow operation condition between 1s and 5s by combining the experience 1 Before the left turn signal phase is turned on, the average speed v of the last opposite vehicle passing through the intersection and the left turn lane of the lane borrowing 2 At the end of the left turn advance signal phase, the average speed, Δ T, of the last lane-borrowed left-turn vehicle in the lane-borrowed left-turn lane 1 Predicting the signal phase start time T for a left turn s End time T of phase in which the opposite vehicle runs 1 Time interval therebetween, Δ T 2 Predicting the signal phase end time T for a left turn e Left-turn phase green light end time T corresponding to left-turn lane borrowing 2 The time interval between.
Determining the left turn pre-signal phase start time T through the intersection data information s End time T of phase in which the opposite vehicle runs 1 Time interval Δ T therebetween 1 And left turn pre-signal phase end time T e Left-turn phase green light end time T corresponding to left-turn lane lending 2 Time interval Δ T therebetween 2 And then the green time T of the left turn pre-signal phase can be accurately established Preparing And length of lane for left-turn lane by lane change j The first relational expression between the first and the second relational expressions facilitates subsequent determination of the optimal length of the left-turn lane.
In one or more embodiments of the present invention, the specific calculation method for determining the second relational expression between the length of the left-turn lane for borrowing and the number of left-turn vehicles for borrowing according to the traffic flow data information, and determining the optimal length of the left-turn lane for borrowing according to the first relational expression and the second relational expression, includes:
suppose a left-turn lane length l of lane borrowing j Is more than or equal to the optimal length l of the left-turn lane of the borrowed lane b The number of left-turning vehicles N which can be borrowed in a single signal period j The calculation formula of (2) is as follows:
wherein h is t Average headway, T, for vehicles entering a left-turn lane of a tailgating Preparation of Pre-signal phase green time for left turn;
suppose a left-turn lane length l of lane borrowing j Is less than the optimal length l of the left-turn lane of the lane borrowing b Then the number of left-turning vehicles N can be borrowed in a single signal period j The calculation formula of (2) is as follows:
wherein l j For borrowing the left-turn lane length, h s Averaging the head distances when vehicles in the left-turn lane are queued;
the optimal length l of the left-turn lane for borrowing is calculated by combining the formula (4) and the formula (5) b The formula of (1) is:
wherein l' is the running distance of the left-turning vehicle in the intersection, T 1 End time of phase at which oncoming vehicle is traveling, T 2 Left turn corresponds to a left turn phase green light end time, t s1 Safe time intervals for emptying the left-turn lane of a borrowed road, t s2 Safety interval for prohibiting left-turn vehicles to enter a left-turn lane for borrowing v 1 Before the left turn signal phase is turned on, the average speed v of the last opposite vehicle passing through the intersection and the left turn lane of the lane borrowing 2 For left-hand rotation, the last one at the end of the phase of the preliminary signalAverage speed of a left-turn vehicle in a left-turn lane of a borrowed lane.
By left-turn lane length l in lane borrowing j Optimum length l of left-turn lane for lane borrowing b Number of left-turn vehicles N that can be borrowed corresponding to different size relationships j So that the corresponding number N of left-turning vehicles which can be borrowed can be simultaneously calculated j The calculation formula of (a) solves the optimal length l of the left-turn lane of the borrowed lane b The method and the system can better provide reference for traffic managers, provide guarantee for designing an optimal lane borrowing left-turn lane and improve the passing efficiency.
In one or more embodiments of the invention, the method determines the left turn pre-signal phase starting time T according to the optimal length of the borrowed left turn lane and the intersection data information s And an end time T e The specific calculation formula of (A) is as follows:
wherein l' is the running distance of the left-turning vehicle in the intersection, T 1 End time of phase at which oncoming vehicle is traveling, T 2 Left turn corresponds to a left turn phase green light end time, t s1 Safe time intervals for emptying the left-turn lane of a borrowed road, t s2 Safe time intervals for prohibiting left-turn vehicles from entering a left-turn lane of a borrowed lane, v 1 Before the left turn signal phase is turned on, the average speed v of the last opposite vehicle passing through the intersection and the left turn lane of the lane borrowing 2 And when the left turn signal phase is ended, the average speed of the last lane-borrowing left-turn vehicle in the lane-borrowing left-turn lane.
Through the optimal length of the borrowed left-turn lane and the intersection data information, the left-turn pre-signal phase starting time T can be accurately calculated s And an end time T e Thereby facilitating phase opening according to the left-turn pre-signalStarting time T s And an end time T e And a corresponding timing scheme is generated, so that reference is better provided for traffic managers, guarantee is provided for designing an optimal lane borrowing left-turn lane, and dynamic adjustment can be performed according to the change of relevant parameters.
Optionally, in one or more embodiments of the present invention, the signalized intersection left-turn lane borrowing design method further includes the following steps:
verifying the left-turn pre-signal phase timing scheme according to the left-turn lane passing capacity of the borrowed lane, which specifically comprises the following steps:
when the length of the lane left-turning lane of the lane borrowing at the intersection is greater than or equal to the optimal length of the lane left-turning lane of the lane borrowing, the traffic capacity of the lane left-turning lane of the lane borrowing is calculated according to the average headway and the signal period T, and the calculation formula is as follows:
when the length of the lane left-turning lane of the lane borrowing at the intersection is smaller than the optimal length of the lane left-turning lane of the lane borrowing, calculating the traffic capacity of the lane left-turning lane of the lane borrowing according to the average vehicle head distance and the signal period T, wherein the calculation formula is as follows;
to determine whether the left-turn pre-signal phase timing scheme is an optimal scheme.
The left-turn pre-signal phase timing scheme is verified to ensure that the left-turn pre-signal phase timing scheme is the optimal scheme, so that the intersection traffic efficiency is improved, and scientific guidance is provided for traffic management departments.
The invention relates to a design method of a signalized intersection left-turn lane, which takes a typical crossroad as an example, wherein W is an inlet in the west, S is an inlet in the south, E is an inlet in the east, and N is an inlet in the north. A left-turn lane for passing is arranged at the west entrance, and the structure of the intersection is shown in figure 2. The related intersection distance parameter means as shown in figure 3, and the vehicle driving speed is as shown in figure 4. The cycle length of the intersection signal lamp is 126s, when four-phase signals which are symmetrically released from east, west, south and north are adopted for timing, the yellow lamp time is 3s, 1s of full red time is provided after each phase is finished, and the intersection overall signal timing is shown in fig. 5 by combining the left turn pre-signal phase. According to the design method, the optimal length of the left-turn lane and the left-turn pre-signal phase timing are determined, and the optimal length is compared with the traffic capacity of the left-turn lane under different lengths of the left-turn lane.
The input parameters for the design are: the running distance l' of the left-turning vehicle in the intersection is 40 meters; end time T of phase of running of opposite vehicle 1 Taking 28 seconds, and making a left turn corresponding to the left turn phase green light ending time T 2 Taking 93 seconds, and before the left-turn pre-signal phase is started, the average speed v of the last opposite vehicle passing through the intersection and the left-turn lane of the borrowed lane 1 Taking 10 m/s, and when the left-turn pre-signal phase is finished, the average speed v of the last lane-borrowing left-turn vehicle in the lane-borrowing left-turn lane 2 Taking 5 m/s, and taking the average head-to-head distance h when the vehicles in the left-turn lane line up s Taking 6.5 meters, and taking the average headway h when the vehicle enters the left-turn lane of the borrowed lane s Taking 2.8 seconds and emptying the safe time interval t of the left-turn lane of the lane borrowing s1 And a safety interval t for prohibiting a left-turn vehicle from entering a left-turn lane of a borrowed lane s2 All take 3 seconds.
Then, the design process of the lane borrowing left-turn lane at the signalized intersection is as follows:
substituting the parameters into a formula (3) to obtain the product
And (2) substituting the parameters into a formula (4) and a formula (5) to obtain
Step (3), the formulas in the step (2) are combined to obtain
Calculate out
Step (4), calculating the optimal length l of the left-turn lane of the borrowed road obtained in the step (3) b Substituting the related parameters into a formula to calculate
And (5) evaluating the design scheme. Judging whether the design scheme is optimal or not by taking the left-turn traffic capacity as an evaluation index; when the length of the lane for the left turn at the intersection is less than the optimal length, the left turn traffic capacity is calculated according to the average head spacing; when the length of the left-turn lane of the lane borrowing at the intersection is greater than or equal to the optimal length, the left-turn traffic capacity needs to be calculated according to the average headway time. As shown in Table 1, according to the design method, the optimum length of the lane borrowing left turn is about 75.26 m, the lane borrowing left turn is within the overall optimum selection range, and the lane borrowing left turn lane can exert the maximum benefit.
TABLE 1
As shown in fig. 6, the invention also provides a system for designing a left-turn lane at a signalized intersection, which comprises a first processing module, a second processing module and a timing scheme module;
the first processing module is used for acquiring intersection data information and establishing a first relational expression between the green time of the left turn pre-signal phase and the length of a left turn lane of a borrowed lane according to the intersection data information;
the second processing module is used for acquiring traffic flow data information, establishing a second relational expression between the length of the left-turn lane for borrowing and the number of left-turn vehicles capable of borrowing according to the traffic flow data information, and determining the optimal length of the left-turn lane for borrowing according to the first relational expression and the second relational expression;
and the timing scheme module determines the starting time and the ending time of the left-turn pre-signal phase according to the optimal length of the borrowed left-turn lane and the intersection data information, and generates a left-turn pre-signal phase timing scheme.
The system for designing the left turn lane of the lane borrowing at the signalized intersection considers the data information of the intersection and determines the relationship between the green time of the left turn pre-signal phase and the length of the left turn lane of the lane borrowing, and determining the optimal length of the left-turn lane by combining the relationship between the length of the left-turn lane by borrowing and the number of left-turn vehicles by borrowing determined by the traffic flow data information, determining the starting time and the ending time of the left-turn pre-signal phase according to the optimal length of the left-turn lane and the intersection data information, can change and adjust aiming at different intersections, so that the method can evaluate the utilization condition of the left-turn lane by means of the lane change more conveniently, the method can better provide reference for traffic managers, guarantee for designing an optimal lane borrowing left-turn lane, improve the lane borrowing left-turn traffic efficiency and improve the traffic management level, is simple and rapid in calculation method, and is beneficial to convenient implementation of traffic management departments.
In one or more embodiments of the present invention, the first processing module establishes a first relational expression between the left-turn pre-signal phase green time and the lane length of the left-turn lane by lane-borrowing, and implements the relational expression as follows:
wherein l j For the length of the left-turn lane, l' is the distance traveled by the left-turn vehicle in the intersection, T 1 End time of phase at which oncoming vehicle is traveling, T 2 Left turn corresponds to a left turn phase green light end time, t s1 Safe time intervals for emptying the left-turn lane of a borrowed road, t s2 Safe time intervals for prohibiting left-turn vehicles from entering a left-turn lane of a borrowed lane, v 1 Before the left turn signal phase is turned on, the average speed v of the last opposite vehicle passing through the intersection and the left turn lane of the lane borrowing 2 When the left turn signal phase is over, the average speed, delta T, of the last left-turn vehicle in the left-turn lane 1 Predicting the signal phase start time T for a left turn s End time T of phase in which the opposite vehicle runs 1 Time interval between, Δ T 2 Predicting the signal phase end time T for a left turn e Left-turn phase green light end time T corresponding to left-turn lane borrowing 2 The time interval in between.
Determining the left turn pre-signal phase start time T through the intersection data information s End time T of phase in which the opposite vehicle runs 1 Time interval Δ T therebetween 1 And left turn pre-signal phase end time T e Left-turn phase green light end time T corresponding to left-turn lane lending 2 Time interval Δ T therebetween 2 And then the green time T of the left turn pre-signal phase can be accurately established Preparation of And length l of lane for left turn lane j The first relational expression between the first and the second relational expressions facilitates subsequent determination of the optimal length of the left-turn lane.
In one or more embodiments of the present invention, the second processing module determines a second relational expression between the length of the left-turn lane for borrowing and the number of left-turn vehicles that can borrow, and the specific implementation of determining the optimal length of the left-turn lane for borrowing according to the first relational expression and the second relational expression is as follows:
suppose a left-turn lane length l of lane borrowing j Is more than or equal to the optimal length l of the left-turn lane of the borrowed lane b The number of left-turning vehicles N which can be borrowed in a single signal period j The calculation formula of (2) is as follows:
wherein h is t Average headway, T, for vehicles entering a left-turn lane of a tailgating Preparation of Pre-signal phase green time for left turn;
suppose a left-turn lane length l of lane borrowing j Is less than the optimal length l of the left-turn lane b The number of left-turning vehicles N which can be borrowed in a single signal period j The calculation formula of (c) is:
wherein l j For borrowing the left-turn lane length, h s Averaging the head distances when vehicles in the left-turn lane are queued;
the optimal length l of the left-turn lane for borrowing is calculated by combining the formula (4) and the formula (5) b The formula of (1) is:
wherein l' is the running distance of the left-turning vehicle in the intersection, T 1 End time of phase at which oncoming vehicle is traveling, T 2 Left turn corresponds to a left turn phase green light end time, t s1 Safe time intervals for emptying the left-turn lane of a borrowed road, t s2 Safe time intervals for prohibiting left-turn vehicles from entering a left-turn lane of a borrowed lane, v 1 Before the left turn signal phase is turned on, the average speed v of the last opposite vehicle passing through the intersection and the left turn lane of the lane borrowing 2 And when the left turn signal phase is ended, the average speed of the last lane-borrowing left-turn vehicle in the lane-borrowing left-turn lane.
By left-turn lane length l in lane borrowing j Optimum length l of left-turn lane for lane borrowing b The number N of left-turning vehicles which can borrow the lane in the corresponding single signal period when the vehicles are in different size relations j So that the number N of the left-turning vehicles which can be borrowed in the corresponding single signal period can be simultaneously calculated j The calculation formula of (a) solves the optimal length l of the left-turn lane of the borrowed lane b The method and the system can better provide reference for traffic managers, provide guarantee for designing an optimal lane borrowing left-turn lane and improve the passing efficiency.
In one or more embodiments of the invention, the timing scheme module determines the left turn pre-signal phase start time T according to the optimal length of the borrowed left turn lane and the intersection data information s And an end time T e The specific implementation of the method is as follows:
wherein l' is the running distance of the left-turning vehicle in the intersection, T 1 End time of phase at which oncoming vehicle is traveling, T 2 Left turn corresponds to a left turn phase green light end time, t s1 Safe time intervals for emptying the left-turn lane of a borrowed road, t s2 Safe time intervals for prohibiting left-turn vehicles from entering a left-turn lane of a borrowed lane, v 1 Before the left turn signal phase is turned on, the average speed v of the last opposite vehicle passing through the intersection and the left turn lane of the lane borrowing 2 And when the left turn signal phase is ended, the average speed of the last lane-borrowing left-turn vehicle in the lane-borrowing left-turn lane.
Through the optimal length of the left-turn lane and the intersection data information, the left-turn pre-signal phase starting time T can be accurately calculated s And an end time T e To thereby facilitate a signal phase start time T according to a left turn s And an end time T e And a corresponding timing scheme is generated, so that reference is better provided for traffic managers, guarantee is provided for designing an optimal lane borrowing left-turn lane, and dynamic adjustment can be performed according to the change of relevant parameters.
Optionally, in one or more embodiments of the present invention, the second processing module is further configured to verify the left-turn pre-signal phase timing scheme according to a left-turn lane passing capacity by a lane, specifically:
when the length of the lane borrowing left-turn lane at the intersection is greater than or equal to the optimal length of the lane borrowing left-turn lane, calculating the traffic capacity of the lane borrowing left-turn vehicle according to the average headway time and the signal period T, wherein the calculation formula is as follows;
when the length of the lane borrowing left-turn lane at the intersection is smaller than the optimal length of the lane borrowing left-turn lane, calculating the traffic capacity of the lane borrowing left-turn vehicle according to the average vehicle head distance and the signal period T, wherein the calculation formula is as follows;
to determine whether the left-turn pre-signal phase timing scheme is an optimal scheme.
The design method and the system for the lane borrowing left-turn lane of the signalized intersection can calculate the length of the lane borrowing left-turn lane and the left-turn pre-signal phase timing scheme which can maximize the number of the left-turn vehicles which can borrow the lane by reasonably considering the influences of the intersection structure, the signal timing scheme, the vehicle running characteristics and the like by combining the traffic flow characteristics, optimize the management effect of the left-turn lane borrowing the lane and provide reference for the optimized adjustment of the lane borrowing left-turn intersection.
The invention also provides a computer-readable storage medium, on which a computer program is stored which, when being executed by a processor, carries out the method.
The invention also provides signalized intersection left-turn lane borrowing design equipment which comprises the storage medium and a processor, wherein the processor realizes the steps of the method when executing the computer program on the storage medium.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents, improvements and the like that fall within the spirit and principle of the present invention are intended to be included therein.
Claims (6)
1. A signalized intersection lane borrowing left-turn lane design method is characterized by comprising the following steps: the method comprises the following steps:
acquiring intersection data information, and establishing a first relational expression between the green time of a left-turn pre-signal phase and the length of a left-turn lane of a lane borrowing according to the intersection data information;
acquiring traffic flow data information, establishing a second relational expression between the length of a left-turn lane for borrowing and the number of left-turn vehicles for borrowing according to the traffic flow data information, and determining the optimal length of the left-turn lane for borrowing according to the first relational expression and the second relational expression;
determining the starting time and the ending time of a left-turn pre-signal phase according to the optimal length of the borrowed left-turn lane and the intersection data information, and generating a left-turn pre-signal phase timing scheme;
establishing a green time T of a left turn pre-signal phase according to the intersection data information Preparation of And length l of lane for left turn lane j The specific calculation method of the first relational expression between the following steps:
wherein l j For the length of the left-turn lane, l' is the distance traveled by the left-turn vehicle in the intersection, T 1 End time of phase for running of oncoming vehicle，T 2 Left turn corresponds to a left turn phase green light end time, t s1 Safe time intervals for emptying the left-turn lane of a borrowed road, t s2 Safe time intervals for prohibiting left-turn vehicles from entering a left-turn lane of a borrowed lane, v 1 Before the left turn signal phase is turned on, the average speed v of the last opposite vehicle passing through the intersection and the left turn lane of the lane borrowing 2 At the end of the left turn advance signal phase, the average speed, Δ T, of the last lane-borrowed left-turn vehicle in the lane-borrowed left-turn lane 1 Predicting the signal phase start time T for a left turn s End time T of phase in which the opposite vehicle runs 1 Time interval therebetween, Δ T 2 Predicting the signal phase end time T for a left turn e Left-turn phase green light end time T corresponding to left-turn lane borrowing 2 The time interval in between;
the specific calculation method for determining the second relational expression between the length of the borrowed left turn lane and the number of the borrowed left turn vehicles according to the traffic flow data information and determining the optimal length of the borrowed left turn lane according to the first relational expression and the second relational expression comprises the following steps:
suppose a lane length l for a left turn lane j Is more than or equal to the optimal length l of the left-turn lane of the borrowed lane b Then the number of left-turning vehicles N can be borrowed in a single signal period j The calculation formula of (2) is as follows:
wherein h is t Average headway, T, for vehicles entering a left-turn lane of a tailgating Preparation of Pre-signal phase green time for left turn;
suppose a left-turn lane length l of lane borrowing j Is less than the optimal length l of the left-turn lane b The number of left-turning vehicles N which can be borrowed in a single signal period j The calculation formula of (2) is as follows:
wherein l j For borrowing the left-turn lane length, h s Averaging the head distances when queuing for vehicles in the left-turn lane;
the optimal length l of the left-turn lane for borrowing is calculated by combining a formula (4) and a formula (5) b The formula of (1) is:
wherein l' is the running distance of the left-turning vehicle in the intersection, T 1 End time of phase at which oncoming vehicle is traveling, T 2 Left turn corresponds to a left turn phase green light end time, t s1 Safe time intervals for emptying the left-turn lane of a borrowed road, t s2 Safe time intervals for prohibiting left-turn vehicles from entering a left-turn lane of a borrowed lane, v 1 Before the left turn signal phase is turned on, the average speed v of the last opposite vehicle passing through the intersection and the left turn lane of the lane borrowing 2 And when the left turn signal phase is ended, the average speed of the last lane-borrowing left-turn vehicle in the lane-borrowing left-turn lane.
2. The signalized intersection left-turn lane borrowing design method according to claim 1, wherein: determining the starting time T of the left turn pre-signal phase according to the optimal length of the borrowed left turn lane and the intersection data information s And an end time T e The specific calculation formula of (2) is:
wherein l' is the running distance of the left-turning vehicle in the intersection, T 1 End of phase for oncoming vehicle operationTime, T 2 Left turn corresponds to a left turn phase green light end time, t s1 Safe time intervals for emptying tailgating left-turn lanes, t s2 Safety interval for prohibiting left-turn vehicles to enter a left-turn lane for borrowing v 1 Before the left turn signal phase is turned on, the average speed v of the last opposite vehicle passing through the intersection and the left turn lane of the lane borrowing 2 And when the signal phase is finished for left turning, the average speed of the last left-turning vehicle in the left-turning lane of the lane borrowing.
3. The signalized intersection left-turn lane design method according to claim 1 or 2, further comprising the steps of:
verifying the left-turn pre-signal phase timing scheme according to the lane-borrowing left-turn lane traffic capacity, which specifically comprises the following steps:
when the length of the lane left-turning lane of the lane borrowing at the intersection is greater than or equal to the optimal length of the lane left-turning lane of the lane borrowing, the traffic capacity of the lane left-turning lane of the lane borrowing is calculated according to the average headway and the signal period T, and the calculation formula is as follows:
when the length of the lane left-turning lane of the lane borrowing at the intersection is smaller than the optimal length of the lane left-turning lane of the lane borrowing, the traffic capacity of the lane left-turning lane of the lane borrowing is calculated according to the average head spacing and the signal period T, and the calculation formula is as follows:
to determine whether the left-turn pre-signal phase timing scheme is an optimal scheme.
4. The utility model provides a signalized intersection borrows lane left turn lane design system which characterized in that: the system comprises a first processing module, a second processing module and a timing scheme module;
the first processing module is used for acquiring intersection data information and establishing a first relational expression between the green time of the left turn pre-signal phase and the length of a left turn lane of a borrowed lane according to the intersection data information;
the second processing module is used for acquiring traffic flow data information, establishing a second relational expression between the length of the borrowed left-turn lane and the number of left-turn vehicles capable of being borrowed according to the traffic flow data information, and determining the optimal length of the borrowed left-turn lane according to the first relational expression and the second relational expression;
the timing scheme module determines the starting time and the ending time of the left turn pre-signal phase according to the optimal length of the borrowed left turn lane and the intersection data information to generate a left turn pre-signal phase timing scheme;
the first processing module establishes a first relational expression between the left-turn pre-signal phase green light time and the lane borrowing left-turn lane length, and the first relational expression is realized by the following specific steps:
wherein l j For the length of the left-turn lane, l' is the distance traveled by the left-turn vehicle in the intersection, T 1 End time of phase at which oncoming vehicle is traveling, T 2 Left turn corresponds to a left turn phase green light end time, t s1 Safe time intervals for emptying tailgating left-turn lanes, t s2 Safe time intervals for prohibiting left-turn vehicles from entering a left-turn lane of a borrowed lane, v 1 Before the left turn pre-signal phase is started, the average speed of the last opposite vehicle passing through the intersection and the left turn lane of the lane borrowing,v 2 at the end of the left turn advance signal phase, the average speed, Δ T, of the last lane-borrowed left-turn vehicle in the lane-borrowed left-turn lane 1 Predicting the signal phase start time T for a left turn s End time T of phase in which the opposite vehicle runs 1 Time interval therebetween, Δ T 2 Predicting the signal phase end time T for a left turn e Left-turn phase green light end time T corresponding to left-turn lane borrowing 2 The time interval in between;
the second processing module determines a second relational expression between the length of the borrowed left-turn lane and the number of the borrowed left-turn vehicles, and the concrete implementation of determining the optimal length of the borrowed left-turn lane according to the first relational expression and the second relational expression is as follows:
suppose a lane length l for a left turn lane j Is more than or equal to the optimal length l of the left-turn lane of the borrowed lane b Then the number of left-turning vehicles N can be borrowed in a single signal period j The calculation formula of (c) is:
wherein h is t Average headway, T, for vehicles entering a left-turn lane of a tailgating Preparation of Pre-signal phase green time for left turn;
suppose a left-turn lane length l of lane borrowing j Is less than the optimal length l of the left-turn lane of the lane borrowing b The number of left-turning vehicles N which can be borrowed in a single signal period j The calculation formula of (2) is as follows:
wherein l j For borrowing the left-turn lane length, h s Averaging the head distances when queuing for vehicles in the left-turn lane;
the optimal length l of the left-turn lane for borrowing is calculated by combining the formula (4) and the formula (5) b The formula of (1) is:
wherein l' is the running distance of the left-turning vehicle in the intersection, T 1 End time of phase at which oncoming vehicle is traveling, T 2 Left turn corresponds to a left turn phase green light end time, t s1 Safe time intervals for emptying tailgating left-turn lanes, t s2 Safe time intervals for prohibiting left-turn vehicles from entering a left-turn lane of a borrowed lane, v 1 Before the left turn signal phase is turned on, the average speed v of the last opposite vehicle passing through the intersection and the left turn lane of the lane borrowing 2 When the left turn pre-signal phase is finished, the average speed of the last lane-borrowing left-turn vehicle in the lane-borrowing left-turn lane;
5. the signalized intersection left-turn lane design system according to claim 4, characterized in that: the timing scheme module determines the left turn pre-signal phase starting time T according to the optimal length of the left turn lane and the intersection data information s And an end time T e The specific implementation of the method is as follows:
wherein l' is the running distance of the left-turning vehicle in the intersection, T 1 End time of phase at which oncoming vehicle is traveling, T 2 Left turn corresponds to a left turn phase green light end time, t s1 Safe time intervals for emptying tailgating left-turn lanes, t s2 Safe time intervals for prohibiting left-turn vehicles from entering a left-turn lane of a borrowed lane, v 1 Before the left turn signal phase is started, the average speed v of the last opposite vehicle passing through the intersection and the left turn lane of the borrowed lane 2 And when the left turn signal phase is ended, the average speed of the last lane-borrowing left-turn vehicle in the lane-borrowing left-turn lane.
6. The signalized intersection left-turn lane design system according to claim 4 or 5, wherein: the second processing module is further configured to verify the left-turn pre-signal phase timing scheme according to the traffic capacity of a left-turn lane, specifically:
when the length of the lane left-turning lane of the lane borrowing at the intersection is greater than or equal to the optimal length of the lane left-turning lane of the lane borrowing, the traffic capacity of the lane left-turning lane of the lane borrowing is calculated according to the average headway and the signal period T, and the calculation formula is as follows:
when the length of the left-turn lane at the intersection is smaller than the optimal length of the left-turn lane at the intersection, calculating the traffic capacity of the left-turn lane at the intersection according to the average vehicle head distance and the signal period T, wherein the calculation formula is as follows:
to determine whether the left-turn pre-signal phase timing scheme is an optimal scheme.
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