CN117236078A - Highway traffic detector layout method based on double-layer constraint - Google Patents

Highway traffic detector layout method based on double-layer constraint Download PDF

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CN117236078A
CN117236078A CN202311501059.4A CN202311501059A CN117236078A CN 117236078 A CN117236078 A CN 117236078A CN 202311501059 A CN202311501059 A CN 202311501059A CN 117236078 A CN117236078 A CN 117236078A
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detector
traffic information
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layout
traffic
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杨宇星
唐易
丘建栋
刘诗昆
张凯
刘恒
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Shenzhen Urban Transport Planning Center Co Ltd
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Shenzhen Urban Transport Planning Center Co Ltd
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Abstract

A highway traffic detector layout method based on double-layer constraint belongs to the technical field of highway traffic informatization. In order to solve the problem that the detectors are effectively distributed on the expressway, the invention utilizes VISSIM software to construct an expressway scene simulation model, and the detection points of the detectors are arranged in the simulation model to acquire the perceived traffic flow, the speed and the occupancy data of the section; analyzing the traffic information correlation coefficient and constructing a traffic information perception completeness function of the detector; setting a traffic information perception completeness threshold value, and establishing constraint conditions for complete acquisition of traffic information; considering a redundant sensing area of traffic data, and establishing constraint conditions of traffic information sensing redundancy; analyzing influence factors of detector layout; and constructing a double-layer constraint detector layout model, and solving by using a simulated annealing algorithm to obtain a highway traffic detector layout result based on the double-layer constraint. The present invention provides an economical and practical detector layout scheme.

Description

Highway traffic detector layout method based on double-layer constraint
Technical Field
The invention belongs to the technical field of highway traffic informatization, and particularly relates to a highway traffic detector layout method based on double-layer constraint.
Background
Along with the continuous updating and iteration of technologies such as big data, machine learning and the like, the national development advocates the construction of intelligent expressways, and the detector is increasingly widely applied to expressway scenes, is used in the field of real-time monitoring of road network flow of expressways, emergency rescue treatment of traffic time and natural climate disaster early warning, actively accelerates the intelligent and digital processes of traffic, and has great promotion effect on improving the development of intelligent expressways. The detector layout is a key problem in the field of traffic information perception, and mainly has the following problems: firstly, the perceived data is insufficient, the highway road network is large in scale, the laid detectors only can cover a few partial sections, the whole highway network is difficult to cover, and the panorama of the traffic flow condition of the highway network cannot be presented in real time; secondly, the service life of the detection node is difficult to guarantee, most road sections of the expressway are far away from cities, the detector is in a field environment throughout the year, and high-frequency maintenance conditions are lacked, so that the fault rate of the detector node on the expressway can be high. Thirdly, the relation of input and output is difficult to grasp, the arrangement interval of the detectors is too large, and the defects of the first two problems are obvious in exposure; the arrangement interval of the detectors is too small, a certain fund waste is caused by the investment of a large number of detectors, and even the harvested benefits can be difficult to offset the cost, which is a problem that must be considered in the budget stage before engineering implementation.
The invention patent with the application number of 201110186782.9 and the name of 'a method for measuring the arrangement space of a highway detector' discloses the following technical scheme: the method comprises the steps of firstly, collecting basic information indexes of the expressway, wherein the basic information indexes mainly comprise the number n of unidirectional lanes of the expressway, service level, design speed and maximum service flow rate; secondly, collecting the normal flow rate and abnormal state flow rate of the expressway vehicle; thirdly, measuring the perception time of the detector to the expressway abnormal event; and fourthly, measuring the arrangement interval of the highway detectors. However, the technology only provides a layout scheme of expressway detectors with equal intervals, the scheme has insufficient flexibility, and the applicable scene is limited; the proposed detector layout scheme only considers the fully complete factor of traffic information perception, lacks consideration of traffic information perception reliability, and greatly influences the complete and accurate perception of highway traffic information if the detector breaks down; the input cost is represented by only the number of the detectors and the purchase cost, the consideration factor is single, and the use duration and the maintenance and overhaul cost of the detectors after the detectors are put into operation are not considered.
Disclosure of Invention
The invention aims to solve the problem of effectively arranging detectors on an expressway, and provides an expressway traffic detector arrangement method based on double-layer constraint.
In order to achieve the above purpose, the present invention is realized by the following technical scheme:
a highway traffic detector layout method based on double-layer constraint comprises the following steps:
s1, constructing a highway scene simulation model by using VISSIM software, and acquiring perceived traffic flow, speed and occupancy data of a section by setting a detector detection point in the highway scene simulation model;
s2, analyzing the traffic information correlation coefficient based on the perceived traffic flow, the vehicle speed and the occupancy data of the section obtained in the step S1, and constructing a traffic information perception completeness function of the detector;
s3, setting a traffic information perception completeness threshold based on the traffic information perception completeness function of the detector obtained in the step S2, and establishing constraint conditions for complete acquisition of traffic information;
s4, based on the traffic information perception completeness threshold value obtained in the step S3, a redundant perception area of traffic data is considered, and a constraint condition of traffic information perception redundancy is established;
s5, analyzing influence factors of detector layout;
S6, constructing a double-layer constraint detector layout model based on the constraint condition of the complete acquisition of the traffic information obtained in the step S3, the constraint condition of the complete acquisition of the traffic information obtained in the step S4 and the influence factors of the detector layout obtained in the step S5;
and S7, solving the double-layer constraint detector layout model obtained in the step S6 by using a simulated annealing algorithm to obtain a highway traffic detector layout result based on the double-layer constraint.
Further, in step S1, the setting of the detection points of the detectors is to select 200 meters as the interval between the detectors in the simulation model of the highway scene, and the data outputted by each detector simulation is used as the original data.
Further, the specific implementation method of the step S2 includes the following steps:
s2.1, extracting a traffic flow sequence, a vehicle speed sequence and an occupancy sequence based on the perceived traffic flow, the vehicle speed and the occupancy data of the section obtained in the step S1;
s2.2, setting a calculation expression of the traffic information correlation coefficient as follows:
wherein,time series of traffic information for two locations on a road segment, respectively +.>Is the perceived distance of two locations on the road segment, < >>Traffic information related coefficients for two locations on a road segment, +. >,/>、/>Are respectively->And->The%>Personal value (s)/(s)>,/>、/>Are respectively->And->Average value of the sequence;
s2.3, calculating traffic information correlation coefficients including traffic flow correlation coefficient, vehicle speed correlation coefficient and occupancy correlation coefficient according to the formula of the step S2.2 respectivelyRepresenting and then calculating the overall correlation coefficient of traffic information +.>The computational expression is: />
Wherein,the weight values of the traffic flow correlation coefficient, the vehicle speed correlation coefficient and the occupancy correlation coefficient are respectively;
s2.4, acquiring section traffic information by arranging a plurality of detectors, calculating the overall correlation coefficient of the traffic information obtained in the step S2.3, and then fitting to obtain a traffic information perception completeness functionThe computational expression is:
wherein,fitting operations for scatter data,/->For a function variable, representing the distance of the detector, < +.>、/>For inputting data +.>Represent the firstnGroup layout detector pitch,/->Represent the firstnAnd the traffic information overall correlation coefficient corresponding to the interval between the groups and the layout detectors.
Further, the specific implementation method of the step S3 includes the following steps:
s3.1, setting a threshold value of a traffic information perception completeness functionWhen the acquired traffic information perception completeness is smaller than the thresholdWhen the value is given, the acquired traffic information is considered as invalid information, and the acquired information is not complete enough; otherwise, the acquired traffic information is effective information, the acquired information is complete, and in order to ensure that the traffic information is perceived to be acquired completely, the following formula needs to be satisfied:
Wherein,a threshold value of a completeness function is perceived for traffic information;
s3.2, setting the coordinate sequence of the detector layout on the road section asIt->Is the firstiCoordinates of the individual detectors>Is the total number of detectors; />Is the firstiA traffic information perception completeness function of each detector; to satisfy the completeness being greater than or equal to the completeness threshold, define a firstiThe effective sensing range of the individual detectors is +.>Perceiving the decrementability of the completeness function according to the traffic information, < +.>The satisfied computational expression is:
s3.3. Set up as in step S3.2The layout scheme reaching the maximum distance when the medium number is established in the calculation expression of (1) takes the left boundary of the effective perception range of the 1 st detector as the origin of coordinates, namely +.>Coordinate sequence of the detector arrangement for obtaining complete traffic information perception +.>The computational expression is:
and then obtaining the coordinates of each detector of the complete traffic information perception by using a mathematical induction method, wherein the calculation expression is as follows:
further, the specific implementation method of the step S4 includes the following steps:
s4.1 defining the redundancy of the traffic information as the coordinates in the traffic information space to be reachedOverlapping, the coordinates are at least +.>The detector nodes are effectively perceived and redundancy is set up >Indicating that the effective coverage area of a single detector node is set to be circular;
s4.2, setting the conditions of the layout positions of all the detectors that the sensing capability of each detector is the same: when the first isThe detector fails and cannot work normally, and +.>Adjacent to each detector->Detectors and->The perception completeness function of each detector is used for compensating network loopholes of the fault detector, and a calculation expression of redundant arrangement is obtained as follows:
s4.3, setting a layout scheme reaching the maximum space when the equal sign of the calculation expression in the step S4.2 is established, and obtaining a redundant layout detector layout coordinate sequenceThe calculation formula of (2) is as follows:
and then obtaining the coordinates of each detector which is redundantly laid by using a mathematical induction method, wherein the calculation expression is as follows:
in the number of detectorsOr->
Further, the specific implementation method of the step S5 includes the following steps:
s5.1. Influence factors for arranging the detector include traffic information perception completeness functionCost of integration->Comprehensive value->Detector accuracy->
S5.2. Integrated costIs the sum of all costs of arranging the detectors, including the detector equipment cost of arranging +.>Detector equipment cost; the detector equipment cost includes detector equipment purchase cost +. >The total operation and maintenance cost of the detector is->Then get the comprehensive cost->The calculated expression of (2) is:
wherein,for the normal operating time of the detector, +.>The operational maintenance costs required each year for the detector are averaged;
s5.3. Integrated valueComprising the value of traffic information perceived by the detector +.>Indirect value of detector +.>Comprehensive value->The calculated expression of (2) is:
wherein,for averaging the value of traffic information perceived by detectors each year, < >>Is an average annual indirect value;
s5.4, setting value weight and accuracy:
s5.4.1 value weight: the ratio of the value actually provided by the detector to all the values is represented by the integral ratio of the traffic information perception completeness of the corresponding range, and the calculation expression is as follows:
wherein,traffic information perception completeness function of node representing current calculation weight value +.>Left and right boundaries representing the effective sensing range of the detector;
s5.4.2 accuracy: accuracy rate ofFor describing the precise sensing capabilities of each detector.
Further, the specific implementation method of the step S6 includes the following steps:
s6.1 dividing road segments intoThe number of the sub-road sections is arranged,iis thatmThe detector adopts a method of uniform layout in the sub-road section according to the symmetry of the traffic information perception completeness function; setting the sequence of the number of the layout detectors per sub-section to +. >Wherein->Represent the firstiThe number of sub-section layout detectors; the sequence of the number of detector to be laid out for the solving sub-section +.>As a detector layout model solving target, the number of the detectors is laid by solving the sub-road section, and the number of the detectors is used for determining a specific layout scheme;
s6.2, arranging no detector at the end point of the sub-road section, and setting the firstiThe distance between the detectors in each sub-section isFirst, theiThe distance between the head and tail detectors of the sub-section and the end point of the sub-section is +.>
S6.3, according to the symmetry of the uniform layout principle of the sub-road sections and the traffic information perception completeness function, the firstiComprehensive value of any detector of sub-sectionCost of integration->Accuracy->For a fixed value, the traffic information senseKnowing the completeness function->Left and right boundaries of the effective sensing range of the detector are +.>Setting the effective perception range end point of the traffic information perception completeness function as the equal point of the sub-road section for constant value, and performing calculation and derivation to obtain the firstiThe computational expression of the value weight of the detector within the sub-segment is:
s6.4, considering the traffic information perception completeness, and obtaining a calculation expression of the traffic information perception completeness constraint condition, wherein the calculation expression is as follows:
S6.5, setting the first time by further considering the redundancy of the traffic informationiRedundancy of individual sub-sections isThe calculation expression giving consideration to the traffic information perception completeness and reliability constraint conditions is obtained as follows:
s6.6, based on the steps S6.1-S6.3 as model parameters and the steps S6.4-S6.5 as constraint conditions, setting traffic information perception completeness and reliability as double-layer constraint conditions, constructing a detector layout model, and calculating the expression:
wherein,is the firstiThe length of the sub-road sections depends on the highway sub-road section dividing scheme;
the solving target of the model is a sequence of the number of sub-road sections
Further, the specific implementation method of the step S7 includes the following steps:
s7.1, setting parameters of the simulated annealing algorithm as initial temperatureAnd the number of iterations per temperature +.>The sequence of the number of initial sub-section layouts is given according to the empirical value +.>Let the current temperature +.>
S7.2. Sequence of number of initial sub-section layoutSequence of number of road sub-sections of random disturbance-generated disturbance +.>Judging whether the sequence of the number of the disturbed sub-road sections meets the constraint condition of the double-layer constraint detector layout model, if so, carrying out the next step, and if not, repeating the step S7.2;
S7.3. Calculating the difference between the sequence of the number of disturbed sub-sections and the sequence of the number of sub-sectionsThe computational expression is:
wherein,is->Is>Is->Is a target function of (2);
s7.4. Judgment of the obtained in step S7.2If the number of the disturbed sub-road sections is larger than 0, if so, replacing the sequence of the disturbed sub-road section layout number with the sequence of the new initial sub-road section layout number, and if not, considering whether to accept +_ according to Metropolis acceptance criterion>Arranging a number of sequences for the new initial sub-road segments, replacing the disturbed sub-road segment arranging number of sequences with the new initial sub-road segment arranging number of sequences, and repeating the steps S7.1-S7.4 for iterative solution;
s7.5, setting new parameters according to the temperature reduction after the iterative solution is finishedIf->And if the temperature is lower than the termination temperature, outputting a result which is a layout result of the highway traffic detector based on double-layer constraint, otherwise, returning to the step S7.2.
The invention has the beneficial effects that:
the invention relates to a highway traffic detector layout method based on double-layer constraint, which comprises the steps of firstly, based on traffic flow data characteristics, providing a concept of traffic information perception completeness, and realizing quantitative analysis on the traffic information perception completeness by calculating and solving a completeness function; then, a concept of traffic information perception redundancy is provided, and detectors are densely covered and arranged on important road sections of the expressway, so that the traffic information perception has a certain redundancy degree; finally, by analyzing the influence factors of the layout of the traffic data detectors, model parameters are calibrated, the game problem of the perception value of the traffic information and the layout cost of the detectors is specifically visualized, a double-layer constraint detector layout model is established, and a solving process based on a simulated annealing algorithm is provided.
The highway traffic detector layout method based on double-layer constraint can solve the quantitative evaluation and analysis problem of the completeness of traffic information perceived by the highway traffic detector; aiming at the important road sections of the expressway, through reasonable encryption layout, the redundant perception of traffic information is realized, and the reliability of the perception and acquisition of the traffic information is improved; by establishing a double-layer constraint detector layout model and a solving algorithm which comprehensively consider traffic information value and detector cost, an economic and practical detector layout scheme is provided for expressway engineering construction and management units.
Drawings
FIG. 1 is a flow chart of a highway traffic detector layout method based on double-layer constraints according to the present invention;
FIG. 2 is a diagram showing a traffic information perception completeness function distribution diagram of a highway traffic detector layout method based on double-layer constraint according to the present invention;
FIG. 3 is a graph of the traffic information completeness function of a highway section of the highway traffic detector layout method based on double-layer constraint according to the present invention;
fig. 4 is a road section node redundancy layout diagram of the highway traffic detector layout method based on double-layer constraint.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention will be further described in detail below with reference to the accompanying drawings and detailed description. It should be understood that the embodiments described herein are for purposes of illustration only and are not intended to limit the invention, i.e., the embodiments described are merely some, but not all, of the embodiments of the invention. The components of the embodiments of the present invention generally described and illustrated in the figures herein can be arranged and designed in a wide variety of different configurations, and the present invention can have other embodiments as well.
Thus, the following detailed description of the embodiments of the invention, as presented in the figures, is not intended to limit the scope of the invention, as claimed, but is merely representative of selected embodiments of the invention. All other embodiments, which can be made by those skilled in the art based on the embodiments of the present invention without making any inventive effort, are intended to fall within the scope of the present invention.
For further understanding of the invention, the following detailed description is to be taken in conjunction with fig. 1-4.
The first embodiment is as follows:
a highway traffic detector layout method based on double-layer constraint comprises the following steps:
s1, constructing a highway scene simulation model by using VISSIM software, and acquiring perceived traffic flow, speed and occupancy data of a section by setting a detector detection point in the highway scene simulation model;
further, in step S1, a detector detection point is set, wherein 200 meters is selected from a highway scene simulation model as a distance between the detectors, and data output by each detector is used as original data;
s2, analyzing the traffic information correlation coefficient based on the perceived traffic flow, the vehicle speed and the occupancy data of the section obtained in the step S1, and constructing a traffic information perception completeness function of the detector;
further, a traffic information perception completeness is defined, which indicates the degree to which traffic information at a certain position on a highway can be accurately perceived directly or indirectly. The direct sensing means that the current position is just provided with a detector, and the current position can be directly sensed by the detector; the indirect sensing is that no detector is arranged at the current position, and the prediction estimation is needed to be carried out by depending on the information directly sensed by the adjacent detectors, namely the indirect sensing. Each position of the expressway section corresponds to one completeness, and the expressway section can be perceived directly by default to be accurately perceived, so that the completeness is high; the indirect perception can only be directly perceived to some extent to estimate the traffic information prediction, the completeness is low, and the indirect perception completeness is far and near related to the direct perception position. And defining a traffic information perception completeness function, and describing the relationship between the completeness and the distance. The traffic information perception completeness gradually decreases along with the increase of the distance, and the traffic information perception completeness is 1 at the section where the detector is positioned;
The specific implementation method of the step S2 comprises the following steps:
s2.1, extracting a traffic flow sequence, a vehicle speed sequence and an occupancy sequence based on the perceived traffic flow, the vehicle speed and the occupancy data of the section obtained in the step S1;
s2.2, setting a calculation expression of the traffic information correlation coefficient as follows:
wherein,time series of traffic information for two locations on a road segment, respectively +.>Is the perceived distance of two locations on the road segment, < >>Traffic information related coefficients for two locations on a road segment, +.>,/>、/>Are respectively->And->The%>Personal value (s)/(s)>,/>、/>Are respectively->And->Average value of the sequence;
s2.3, calculating traffic information correlation coefficients including traffic flow correlation coefficient, vehicle speed correlation coefficient and occupancy correlation coefficient according to the formula of the step S2.2 respectivelyRepresenting and then calculating the overall correlation coefficient of traffic information +.>The computational expression is:
wherein,respectively the traffic flow phase relationNumber, vehicle speed correlation coefficient, weight of occupancy correlation coefficient;
s2.4, acquiring section traffic information by arranging a plurality of detectors, calculating the overall correlation coefficient of the traffic information obtained in the step S2.3, and then fitting to obtain a traffic information perception completeness function The computational expression is:
wherein,fitting operations for scatter data,/->For a function variable, representing the distance of the detector, < +.>、/>For inputting data +.>Represent the firstnGroup layout detector pitch,/->Represent the firstnThe traffic information overall correlation coefficient corresponding to the interval between the groups and the distributed detectors;
s3, setting a traffic information perception completeness threshold based on the traffic information perception completeness function of the detector obtained in the step S2, and establishing constraint conditions for complete acquisition of traffic information;
further, the specific implementation method of the step S3 includes the following steps:
s3.1, setting a threshold value of a traffic information perception completeness functionWhen the acquired traffic information perception completeness is smaller than the threshold value, the acquired traffic information is considered to be invalid information, and the acquired information is not complete enough; otherwise, the acquired traffic information is effective information, the acquired information is complete, and in order to ensure that the traffic information is perceived to be acquired completely, the following formula needs to be satisfied:
wherein,a threshold value of a completeness function is perceived for traffic information;
s3.2, setting the coordinate sequence of the detector layout on the road section asIt->Is the firstiCoordinates of the individual detectors>Is the total number of detectors; />Is the firstiA traffic information perception completeness function of each detector; to satisfy the completeness being greater than or equal to the completeness threshold, define a first iThe effective sensing range of the individual detectors is +.>Perceiving the decrementability of the completeness function according to the traffic information, < +.>The satisfied computational expression is:
s3.3. Set up as in step S3.2The layout scheme reaching the maximum distance when the medium number is established in the calculation expression of (1) takes the left boundary of the effective perception range of the 1 st detector as the origin of coordinates, namely +.>Coordinate sequence of the detector arrangement for obtaining complete traffic information perception +.>The computational expression is:
and then obtaining the coordinates of each detector of the complete traffic information perception by using a mathematical induction method, wherein the calculation expression is as follows:
s4, based on the traffic information perception completeness threshold value obtained in the step S3, a redundant perception area of traffic data is considered, and a constraint condition of traffic information perception redundancy is established;
on a road section laid redundantly, it is required that traffic information of a redundant sensing area can be sensed simultaneously by a plurality of detectors. Even if one detector fails and cannot work normally, the traffic information at the detector can be ensured to be perceived normally by other detectors, and the complete perception of the traffic information is not influenced. The concept of traffic information redundancy is introduced here. To be reached at a point in the traffic information space The point at least needs to be +.>The individual detector nodes are actively aware. Redundancy is used->Indicating (I)>Indicating that there is and only one detector node perceives this point, no redundancy, otherwise +.>Indicating that more than 1 detector node is able to effectively perceive the point, there is redundancy. Redundancy is used herein to denote the reliability of a network, with higher redundancy being greater the network reliability and lower redundancy being lower the network reliability on the contrary. The boundary represents the location where the perceived completeness is a threshold and the radius represents the distance from the node.
Further, the specific implementation method of the step S4 includes the following steps:
s4.1 defining the redundancy of the traffic information as the coordinates in the traffic information space to be reachedOverlapping, the coordinates are at least +.>The detector nodes are effectively perceived and redundancy is set up>Indicating that the effective coverage area of a single detector node is set to be circular;
s4.2, setting the conditions of the layout positions of all the detectors that the sensing capability of each detector is the same: when the first isThe detector fails and cannot work normally, and +.>Adjacent to each detector->Detectors and->Of individual detectorsThe perception completeness function is used for making up network loopholes of the fault detector, and the calculation expression for obtaining redundancy layout is as follows:
S4.3, setting a layout scheme reaching the maximum space when the equal sign of the calculation expression in the step S4.2 is established, and obtaining a redundant layout detector layout coordinate sequenceThe calculation formula of (2) is as follows:
and then obtaining the coordinates of each detector which is redundantly laid by using a mathematical induction method, wherein the calculation expression is as follows:
in the number of detectorsOr->
The detector layout is an engineering practical application problem, and not only the completeness and reliability of traffic information perception, but also various factors such as economy, traffic conditions, equipment attributes and the like are required to be considered. The influencing factors of the detector layout are carded as shown in table 1, and are classified into a primary factor and a secondary factor. And quantifying the secondary influencing factors of the detector layout according to the table 1, and deducing the conversion process of the detector model parameters through classification.
TABLE 1 influence factors of Detector layout
S5, analyzing influence factors of detector layout;
further, the specific implementation method of the step S5 includes the following steps:
s5.1. Influence factors for arranging the detector include traffic information perception completeness functionCost of integration->Comprehensive value->Detector accuracy->
Further, the construction of the pavement is often required in the process of laying the detectors, including reforming the ground, burying cable pipelines, erecting portal frames or railings, installing video detectors, etc., which are direct costs. In addition, there is additional cost due to the construction of the closed lane and maintenance of the road surface. The detector equipment cost includes the purchase cost of the equipment itself and the operational maintenance cost of the detector after formal use. The operation maintenance cost is related to the actual service life of the detector, and the normal working time of the detector is taken as the service life considering the operation maintenance cost in the early stage of formal construction.
S5.2. Integrated costIs the sum of all costs of arranging the detectors, including the detector equipment cost of arranging +.>Detector equipment cost; the detector equipment cost includes detector equipment purchase cost +.>The total operation and maintenance cost of the detector is->Then get the comprehensive cost->The calculated expression of (2) is:
wherein,for the normal operating time of the detector, +.>The operational maintenance costs required each year for the detector are averaged;
s5.3. Integrated valueComprising the value of traffic information perceived by the detector +.>Indirect value of detector +.>Comprehensive value->The calculated expression of (2) is:
wherein,for averaging the value of traffic information perceived by detectors each year, < >>Is an average annual indirect value;
further, the comprehensive value of the detector is derived from the straight line of the detectorReceiving the perception data, and all possible indirect perception data, from a range of sources. However, in the practical application, only the data within the effective perception range of the detector are data, +.>. In order to ensure the accuracy of research results, a value weight is introduced into the model to represent the ratio of the value actually provided by the detector to all values, and the value weight is represented by the integral ratio of the traffic information perception completeness in a corresponding range;
The overall value directly determines how much benefit the model brings to the manager, mainly including perceived traffic information itself value and reduced external costs due to the correct decisions made by the added traffic information.
The unit of the traffic information value perceived by the detector is the element, and the value of the traffic information is directly reflected in the improvement of the travel efficiency of the travelers. The expressway manager can make proper traffic management decisions according to accurate traffic information, release timely traffic information to travelers, and enable the travelers to make a better travel plan, which is a direct value brought by the traffic information.
Traffic jam is reduced because of reasonable travel, adverse factors such as noise, tail gas pollution and the like are reduced, and the unit of the external cost of the part of reduction belongs to the indirect value of the detector.
The traffic information value is calculated by taking the working time of the detector as a basic unit, the unit of the traffic information value perceived by the detector every year is calculated by taking the unit of the indirect value brought by the detector every year as an element.
S5.4, setting value weight and accuracy:
s5.4.1 value weight: the ratio of the value actually provided by the detector to all the values is represented by the integral ratio of the traffic information perception completeness of the corresponding range, and the calculation expression is as follows:
Wherein,traffic information perception completeness function of node representing current calculation weight value +.>Left and right boundaries representing the effective sensing range of the detector;
s5.4.2 accuracy: accuracy rate ofFor describing the precise sensing capabilities of each detector;
s6, constructing a double-layer constraint detector layout model based on the constraint condition of the complete acquisition of the traffic information obtained in the step S3, the constraint condition of the complete acquisition of the traffic information obtained in the step S4 and the influence factors of the detector layout obtained in the step S5;
the highway road network structure is complex, and comprises sections with various characteristics such as interchange junctions, rapid main lines, import and export ramps and the like. The detector layout model is used for basic road sections, and the whole highway road network node layout scheme is a sum of all road section layout schemes. The sub-section layout scheme is firstly proposed, and then a double-layer constraint detector layout model is built on the basis.
Further, the specific implementation method of the step S6 includes the following steps:
s6.1 dividing road segments intoThe number of the sub-road sections is arranged,iis thatmThe detector adopts a method of uniform layout in the sub-road section according to the symmetry of the traffic information perception completeness function; setting the sequence of the number of the layout detectors per sub-section to +. >Wherein->Represent the firstiThe number of sub-section layout detectors; the sequence of the number of detector to be laid out for the solving sub-section +.>As a detector layout model solving target, the number of the detectors is laid by solving the sub-road section, and the number of the detectors is used for determining a specific layout scheme;
s6.2, arranging no detector at the end point of the sub-road section, and setting the firstiThe distance between the detectors in each sub-section isFirst, theiThe distance between the head and tail detectors of the sub-section and the end point of the sub-section is +.>
S6.3, according to the symmetry of the uniform layout principle of the sub-road sections and the traffic information perception completeness function, the firstiComprehensive value of any detector of sub-sectionCost of integration->Accuracy->For a fixed value, traffic information perception completeness function +.>Left and right boundaries of the effective sensing range of the detector are +.>Setting the effective perception range end point of the traffic information perception completeness function as the equal point of the sub-road section for constant value, and performing calculation and derivation to obtain the firstiThe computational expression of the value weight of the detector within the sub-segment is:
;/>
s6.4, considering the traffic information perception completeness, and obtaining a calculation expression of the traffic information perception completeness constraint condition, wherein the calculation expression is as follows:
S6.5, setting the first time by further considering the redundancy of the traffic informationiRedundancy of individual sub-sections isThe calculation expression giving consideration to the traffic information perception completeness and reliability constraint conditions is obtained as follows:
s6.6, based on the steps S6.1-S6.3 as model parameters and the steps S6.4-S6.5 as constraint conditions, setting traffic information perception completeness and reliability as double-layer constraint conditions, constructing a detector layout model, and calculating the expression:
wherein,is the firstiThe length of the sub-road sections depends on the highway sub-road section dividing scheme;
the solving target of the model is a sequence of the number of sub-road sections
Further, the double-layer constrained detector layout model belongs to a mixed multi-constraint optimization model, and total 2 constraint conditions are adopted. Constraint 1 is a calculation formula for satisfying the double requirements of traffic information acquisition completeness and sub-road section reliability, and constraint 2 is a calculation formula for the current sub-road section distance;
s7, solving the double-layer constraint detector layout model obtained in the step S6 by using a simulated annealing algorithm to obtain a highway traffic detector layout result based on the double-layer constraint;
the two-layer constrained detector layout model describes a dynamically optimized detector layout problem that solves for a node layout scheme targeting highway traffic information networks, a sequence of sub-road segments layout numbers As a solving target, the objective function is +.>The dynamic iterative optimization problem solving is carried out through the simulated annealing algorithm, and the initial solution can be randomly generated or an empirical value is given.
Further, the specific implementation method of the step S7 includes the following steps:
s7.1, setting parameters of the simulated annealing algorithm as initial temperatureAnd the number of iterations per temperature +.>The sequence of the number of initial sub-section layouts is given according to the empirical value +.>Let the current temperature +.>
S7.2. Sequence of number of initial sub-section layoutSequence of number of road sub-sections of random disturbance-generated disturbance +.>Judging whether the sequence of the number of the disturbed sub-road sections meets the constraint condition of the double-layer constraint detector layout model, if so, carrying out the next step, and if not, repeating the step S7.2;
s7.3. Calculating the difference between the sequence of the number of disturbed sub-sections and the sequence of the number of sub-sectionsThe computational expression is:
wherein,is->Is>Is->Is a target function of (2);
s7.4. Judgment of the obtained in step S7.2If the number of the disturbed sub-road sections is larger than 0, if so, replacing the sequence of the disturbed sub-road section layout number with the sequence of the new initial sub-road section layout number, and if not, considering whether to accept +_ according to Metropolis acceptance criterion >Arranging a number of sequences for the new initial sub-road segments, replacing the disturbed sub-road segment arranging number of sequences with the new initial sub-road segment arranging number of sequences, and repeating the steps S7.1-S7.4 for iterative solution;
s7.5, setting new parameters according to the temperature reduction after the iterative solution is finishedIf->And if the temperature is lower than the termination temperature, outputting a result which is a layout result of the highway traffic detector based on double-layer constraint, otherwise, returning to the step S7.2.
Further, the specific implementation method of the Metropolis acceptance criterion in the step S7.4 is as follows: first, an initial solution is used as a current solution; then, in each iteration, generating a new solution according to a random rule; then, calculating the energy difference between the current solution and the new solution and a probability acceptance criterion under a control parameter, accepting the new solution if the new solution energy is lower, namely better, and determining whether to accept the new solution according to the probability acceptance criterion if the new solution energy is higher, wherein the probability of accepting the worse solution is in a negative correlation with the temperature, and the probability of accepting the worse solution gradually decreases along with the decrease of the temperature; finally, iterating in a loop by gradually reducing the temperature until a stopping criterion is met. This procedure allows the algorithm to accept the difference solution more easily in the initial stage, gradually tending to converge to a more optimal solution as the temperature decreases.
The technical scheme of the embodiment has the following beneficial effects:
1. according to the method, the traffic information perception completeness function is established by analyzing the traffic information perception characteristics of the expressway, so that the traffic information completeness threshold value meeting traffic information completeness perception method is facilitated to be provided.
2. According to the method, the system and the device, the traffic information perception redundancy function is built by analyzing the coverage characteristics of multi-node traffic information perception of the expressway, so that the redundant layout strategy of the traffic information detector of the key road section is facilitated to be provided.
3. According to the implementation mode, the double-layer constraint detector layout model is built, and a model solving flow based on a simulated annealing algorithm is provided, so that the method is beneficial to calculating a detector layout scheme considering traffic information perception value and detector input cost.
The technical key points and the points to be protected of the invention:
1. the invention defines the traffic information perception completeness and provides a completeness function construction method, so that the traffic information perception is more complete.
2. The invention defines the redundancy of traffic information and provides a detector redundancy layout method, so that the traffic information perception is more reliable.
3. The invention establishes a double-layer constraint detector layout model and provides a solving flow based on a simulated annealing algorithm, so that the detector layout scheme can simultaneously meet the double requirements of maximizing traffic information perceived value and minimizing detector input cost.
It is noted that relational terms such as "first" and "second", and the like, are used solely to distinguish one entity or action from another entity or action without necessarily requiring or implying any actual such relationship or order between such entities or actions. Moreover, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Without further limitation, an element defined by the phrase "comprising one … …" does not exclude the presence of other like elements in a process, method, article, or apparatus that comprises the element.
Although the application has been described above with reference to specific embodiments, various modifications may be made and equivalents may be substituted for elements thereof without departing from the scope of the application. In particular, the features of the disclosed embodiments may be combined with each other in any manner so long as there is no structural conflict, and the exhaustive description of these combinations is not given in this specification solely for the sake of brevity and resource saving. Therefore, it is intended that the application not be limited to the particular embodiments disclosed herein, but that the application will include all embodiments falling within the scope of the appended claims.

Claims (8)

1. The highway traffic detector layout method based on double-layer constraint is characterized by comprising the following steps:
s1, constructing a highway scene simulation model by using VISSIM software, and acquiring perceived traffic flow, speed and occupancy data of a section by setting a detector detection point in the highway scene simulation model;
s2, analyzing the traffic information correlation coefficient based on the perceived traffic flow, the vehicle speed and the occupancy data of the section obtained in the step S1, and constructing a traffic information perception completeness function of the detector;
s3, setting a traffic information perception completeness threshold based on the traffic information perception completeness function of the detector obtained in the step S2, and establishing constraint conditions for complete acquisition of traffic information;
s4, based on the traffic information perception completeness threshold value obtained in the step S3, a redundant perception area of traffic data is considered, and a constraint condition of traffic information perception redundancy is established;
s5, analyzing influence factors of detector layout;
s6, constructing a double-layer constraint detector layout model based on the constraint condition of the complete acquisition of the traffic information obtained in the step S3, the constraint condition of the complete acquisition of the traffic information obtained in the step S4 and the influence factors of the detector layout obtained in the step S5;
And S7, solving the double-layer constraint detector layout model obtained in the step S6 by using a simulated annealing algorithm to obtain a highway traffic detector layout result based on the double-layer constraint.
2. The method for arranging highway traffic detectors based on double-layer constraint according to claim 1, wherein the setting of the detector detection points in step S1 is to select 200 meters as the arrangement detector interval in the highway scene simulation model, and the data outputted by each detector simulation is used as the original data.
3. The method for arranging the highway traffic detector based on double-layer constraint according to claim 1 or 2, wherein the specific implementation method of the step S2 comprises the following steps:
s2.1, extracting a traffic flow sequence, a vehicle speed sequence and an occupancy sequence based on the perceived traffic flow, the vehicle speed and the occupancy data of the section obtained in the step S1;
s2.2, setting a calculation expression of the traffic information correlation coefficient as follows:
wherein,time series of traffic information for two locations on a road segment, respectively +.>Is the perceived distance of two locations on the road segment, < >>Traffic information related coefficients for two locations on a road segment, +.>,/>、/>Are respectively- >And->The%>Personal value (s)/(s)>,/>、/>Are respectively->And->Average value of the sequence;
s2.3, calculating traffic information correlation coefficients including traffic flow correlation coefficient, vehicle speed correlation coefficient and occupancy correlation coefficient according to the formula of the step S2.2 respectivelyRepresenting and then calculating the overall correlation coefficient of traffic information +.>The computational expression is:
wherein,the weight values of the traffic flow correlation coefficient, the vehicle speed correlation coefficient and the occupancy correlation coefficient are respectively;
s2.4, acquiring section traffic information by arranging a plurality of detectors, calculating the overall correlation coefficient of the traffic information obtained in the step S2.3, and then fitting to obtain a traffic information perception completeness functionThe computational expression is:
wherein,fitting operations for scatter data,/->For a function variable, representing the distance of the detector, < +.>、/>For inputting data +.>Represent the firstnGroup layout detector pitch,/->Represent the firstnAnd the traffic information overall correlation coefficient corresponding to the interval between the groups and the layout detectors.
4. The method for arranging the highway traffic detector based on the double-layer constraint according to claim 3, wherein the specific implementation method of the step S3 comprises the following steps:
s3.1, setting a threshold value of a traffic information perception completeness function When the acquired traffic information perception completeness is smaller than the threshold value, the acquired traffic information is considered to be invalid information, and the acquired information is not complete enough; otherwise, the acquired traffic information is effective information, the acquired information is complete, in order to ensure traffic informationThe complete acquisition of the information perception needs to satisfy the following formula:
wherein,a threshold value of a completeness function is perceived for traffic information;
s3.2, setting the coordinate sequence of the detector layout on the road section asWherein->Is the firstiCoordinates of the individual detectors>Is the total number of detectors; />Is the firstiA traffic information perception completeness function of each detector; to satisfy the completeness being greater than or equal to the completeness threshold, define a firstiThe effective sensing range of the individual detectors is +.>Perceiving the decrementability of the completeness function according to the traffic information, < +.>The satisfied computational expression is:
s3.3. Set up as in step S3.2Is of the meter(s)The layout scheme for reaching the maximum distance when the number in the expression is established takes the left boundary of the effective perception range of the 1 st detector as the origin of coordinates, namely +.>Coordinate sequence of the detector arrangement for obtaining complete traffic information perception +.>The computational expression is:
and then obtaining the coordinates of each detector of the complete traffic information perception by using a mathematical induction method, wherein the calculation expression is as follows:
5. The method for arranging the highway traffic detector based on the double-layer constraint according to claim 4, wherein the specific implementation method of the step S4 comprises the following steps:
s4.1 defining the redundancy of the traffic information as the coordinates in the traffic information space to be reachedRepeating the process, the coordinates are at least defined byThe detector nodes are effectively perceived and redundancy is set up>Indicating that the effective coverage area of a single detector node is set to be circular;
s4.2, setting the conditions of the layout positions of all the detectors that the sensing capability of each detector is the same: when the first isThe detector fails and cannot work normally, and +.>Adjacent to each detector->Detectors and->The perception completeness function of each detector is used for compensating network loopholes of the fault detector, and a calculation expression of redundant arrangement is obtained as follows:
s4.3, setting a layout scheme reaching the maximum space when the equal sign of the calculation expression in the step S4.2 is established, and obtaining a redundant layout detector layout coordinate sequenceThe calculation formula of (2) is as follows:
and then obtaining the coordinates of each detector which is redundantly laid by using a mathematical induction method, wherein the calculation expression is as follows:
in the number of detectorsOr- >
6. The method for arranging the highway traffic detector based on the double-layer constraint according to claim 5, wherein the specific implementation method of the step S5 comprises the following steps:
s5.1. Influence factors for arranging the detector include traffic information perception completeness functionCost of integration->Comprehensive value->Detector accuracy->
S5.2. Integrated costIs the sum of all costs of arranging the detectors, including the detector equipment cost of arranging +.>Detector equipment cost; the detector equipment cost includes detector equipment purchase cost +.>The total operation and maintenance cost of the detector is->Then get the comprehensive cost->The calculated expression of (2) is:
wherein,for the normal operating time of the detector, +.>The operational maintenance costs required each year for the detector are averaged;
s5.3. Integrated valueComprising the value of traffic information perceived by the detector +.>Indirect value of detector +.>Comprehensive value->The calculated expression of (2) is:
wherein,for averaging the value of traffic information perceived by detectors each year, < >>Is an average annual indirect value;
s5.4, setting value weight and accuracy:
s5.4.1 value weight: the ratio of the value actually provided by the detector to all the values is represented by the integral ratio of the traffic information perception completeness of the corresponding range, and the calculation expression is as follows:
Wherein,traffic information perception completeness function of node representing current calculation weight value +.>Left and right boundaries representing the effective sensing range of the detector;
s5.4.2 accuracy: accuracy rate ofFor describing the precise sensing capabilities of each detector.
7. The method for arranging the highway traffic detector based on the double-layer constraint according to claim 6, wherein the specific implementation method of the step S6 comprises the following steps:
s6.1 dividing road segments intoThe number of the sub-road sections is arranged,iis thatmThe detector adopts a method of uniform layout in the sub-road section according to the symmetry of the traffic information perception completeness function; setting the sequence of the number of the layout detectors per sub-section to +.>Wherein->Represent the firstiThe number of sub-section layout detectors; the sequence of the number of detector to be laid out for the solving sub-section +.>Arranged as a detectorThe model is used for solving a target, and the number of detectors arranged on the sub-road section is solved to determine a specific arrangement scheme;
s6.2, arranging no detector at the end point of the sub-road section, and setting the firstiThe distance between the detectors in each sub-section isFirst, theiThe distance between the head and tail detectors of the sub-section and the end point of the sub-section is +. >
S6.3, according to the symmetry of the uniform layout principle of the sub-road sections and the traffic information perception completeness function, the firstiComprehensive value of any detector of sub-sectionCost of integration->Accuracy->For a fixed value, traffic information perception completeness function +.>Left and right boundaries of the effective sensing range of the detector are +.>Setting the effective perception range end point of the traffic information perception completeness function as the equal point of the sub-road section for constant value, and performing calculation and derivation to obtain the firstiThe computational expression of the value weight of the detector within the sub-segment is:
s6.4, considering the traffic information perception completeness, and obtaining a calculation expression of the traffic information perception completeness constraint condition, wherein the calculation expression is as follows:
s6.5, setting the first time by further considering the redundancy of the traffic informationiRedundancy of individual sub-sections isThe calculation expression giving consideration to the traffic information perception completeness and reliability constraint conditions is obtained as follows:
s6.6, based on the steps S6.1-S6.3 as model parameters and the steps S6.4-S6.5 as constraint conditions, setting traffic information perception completeness and reliability as double-layer constraint conditions, constructing a detector layout model, and calculating the expression:
wherein,is the firstiThe length of the sub-road sections depends on the highway sub-road section dividing scheme;
The solving target of the model is a sequence of the number of sub-road sections
8. The method for arranging the highway traffic detector based on the double-layer constraint according to claim 7, wherein the specific implementation method of the step S7 comprises the following steps:
s7.1, setting parameters of the simulated annealing algorithm as initial temperatureAnd the number of iterations per temperature +.>The sequence of the number of initial sub-section layouts is given according to the empirical value +.>Let the current temperature +.>
S7.2. Sequence of number of initial sub-section layoutSequence of number of road sub-sections of random disturbance-generated disturbance +.>Judging whether the sequence of the number of the disturbed sub-road sections meets the constraint condition of the double-layer constraint detector layout model, if so, carrying out the next step, and if not, repeating the step S7.2;
s7.3. Calculating the difference between the sequence of the number of disturbed sub-sections and the sequence of the number of sub-sectionsThe computational expression is:
wherein,is->Is>Is->Is a target function of (2);
s7.4. Judgment of the obtained in step S7.2If the number of the disturbed sub-road sections is larger than 0, if so, replacing the sequence of the disturbed sub-road section layout number with the sequence of the new initial sub-road section layout number, and if not, considering whether to accept +_ according to Metropolis acceptance criterion >Arranging a number of sequences for the new initial sub-road segments, replacing the disturbed sub-road segment arranging number of sequences with the new initial sub-road segment arranging number of sequences, and repeating the steps S7.1-S7.4 for iterative solution;
s7.5, setting new parameters according to the temperature reduction after the iterative solution is finishedIf->And if the temperature is lower than the termination temperature, outputting a result which is a layout result of the highway traffic detector based on double-layer constraint, otherwise, returning to the step S7.2./>
CN202311501059.4A 2023-11-13 2023-11-13 Highway traffic detector layout method based on double-layer constraint Pending CN117236078A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117114241A (en) * 2023-09-11 2023-11-24 南京宁通智能交通技术研究院有限公司 Intelligent remote sensing system for monitoring road disasters

Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN113935158A (en) * 2021-09-27 2022-01-14 北方工业大学 Traffic detector optimized layout method for multiple points of highway accidents

Patent Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN113935158A (en) * 2021-09-27 2022-01-14 北方工业大学 Traffic detector optimized layout method for multiple points of highway accidents

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
唐易: "高速公路交通参数获取网络节点布设与传输方法研究", 中国优秀硕士学位论文全文数据库工程科技II辑, no. 6, pages 034 - 209 *

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117114241A (en) * 2023-09-11 2023-11-24 南京宁通智能交通技术研究院有限公司 Intelligent remote sensing system for monitoring road disasters

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