CN105678034B - Pedestrians crossing time model and signalized intersections crossing width optimization method - Google Patents
Pedestrians crossing time model and signalized intersections crossing width optimization method Download PDFInfo
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Abstract
The invention discloses a kind of pedestrians crossing time models, belong to traffic engineering design field.The present invention improves existing pedestrians crossing time model in view of time delays caused by opposite Pedestrian conflicts during pedestrian's street crossing, adds opposite effect delay wherein so that model is more in line with reality.The invention also discloses a kind of signalized intersections crossing width optimization methods, this method has considered making full use of for the comfort of pedestrian, safety, high efficiency and time-space distribution, in conjunction with improved pedestrians crossing time model, reasonably optimizing is carried out to the setting width of signalized intersections crossing, on the one hand the problems such as having ensured the waste for avoiding signalized intersections time-space distribution while pedestrian's street crossing comfort, efficiency and safety, on the other hand capable of having reduced blindness of traffic design personnel during design crossing, randomness.
Description
Technical field
The present invention relates to traffic engineering design field more particularly to a kind of pedestrians crossing time model and signal cross
Mouth crossing width optimization method.
Background technology
As green traffic, low-carbon traffic theory are rooted in the hearts of the people, pedestrian traffic is increasingly by departments of government
Pay attention to.However, under the development model guiding based on motor vehicle traffic, that there is pedestrian environments many cities in China is poor,
The problems such as setting of walking facility is improper.Improve pedestrian traffic present situation one of important measure be to walking facility according to " taking human as
Originally principle " is designed.
Signalized intersections are that the important node of urban road network and pedestrian complete to cross the street the important carrier of traffic.For
Ensure comfort, safety and the high efficiency of pedestrian's street crossing, crossing width should be with street pedestrian's flows match.Work as people
Row lateral road width can lead to pedestrian's " spilling " on crossing when too small, increase delay of pedestrian crossing and risk;Another party
The wide crossing in face can lead to the waste of intersection time-space distribution again, the problems such as reducing intersection operational efficiency.
But in actual crossing width design, due to lacking rational scientific basis and practical design method,
Width design often empirically judges.It is existing《Urban highway traffic facilities design specification》(GB50688-2011) it is related to
Also based on qualitative, content is the regulation of crossing width design part:Postpone trunk roads street crossing width it is unsuitable small
In 5m;Postpone other grade roads crossing width not be preferably less than 3m, increased and decreased as unit of 1m.It is therefore desirable to propose one
The computational methods of kind quantification determine the crossing width value under each pedestrian's flow correspondence.
Invention content
The technical problem to be solved by the present invention is to overcome the deficiencies of the prior art and to provide a kind of more accurately pedestrian's street crossings
Time model, and propose a kind of signalized intersections crossing width optimization method based on the model, being capable of science, conveniently, soon
Rational crossing width under different street pedestrian's flows is determined promptly.
The pedestrians crossing time model of the present invention, expression formula are specific as follows:
In formula, TtThe time is crossed the street for pedestrian is practical;TsFor pedestrian start-up time;L is crossing length;W is crossing
Width;SpFor pedestrian crossing speed;NpedFor street pedestrian's sum in a signal period;Nped1、Nped2One is indicated respectively
In signal period, street pedestrian's number on a fairly large number of direction of street pedestrian and reversed street pedestrian's number;TlIt indicates
Retardation is delayed, and refers to that pedestrian forms a team the delay generated in spreading process;TbIt indicates opposite effect delay, refers to opposite Pedestrian conflicts
Generated delay.
A kind of signalized intersections crossing width optimization method, includes the following steps:
Length, original width and the pedestrian count data of step 1, acquisition crossing to be optimized, and united according to pedestrian
Counting determining crossing both ends waits for the setting pedestrian of street crossing to form a team scale;
Step 2 determines crossing width candidate thresholds, specifically includes:
(1) the first upper limit threshold of crossing width W is determined1, the specific method is as follows:
By described in above technical scheme pedestrians crossing time model carry out differential, obtain unit crossing width increment with
Quantitative relationship between corresponding pedestrians crossing time decrement, specific formula are as follows:
It is in the range of 1s/m~4s/mIt chooses a determining value and substitutes into above formula, and will be identified in step 1
Crossing both ends wait for the setting pedestrian of street crossing larger, the smaller setting pedestrian of numerical value in scale scale of forming a team of forming a team to make respectively
For Nped1、Nped2Above formula is substituted into, the W being calculated is as the first upper limit threshold of crossing width W1;
(2) the first lower threshold of crossing width W is determined2, the specific method is as follows:
By identified crossing both ends in step 1 wait for the setting pedestrian of street crossing form a team numerical value in scale it is larger, compared with
Small setting pedestrian forms a team scale respectively as Nped1、Nped2Substitute into pedestrians crossing time described in above technical scheme
Model, calculates that pedestrian at this time is practical to cross the street time Tt, retardation be delayed Tl, opposite effect be delayed TbBetween crossing width W
Relational expression, and calculate people's row cross when delay accounting is exactly equal to preset pedestrian's street crossing maximum acceptable delay accounting
The value of road width W, the crossing width value are the first lower threshold of crossing width W2, the expression of delay accounting PDC
Formula is as follows:
(3) the second upper limit threshold of crossing width W is determined3, the specific method is as follows:
Determine that the crossing when pedestrian local density on crossing is equal to preset pedestrian's local density threshold is wide
Angle value, and using the crossing width value as the second upper limit threshold of crossing width W3;
(4) the second lower threshold of crossing width W is determined4, the specific method is as follows:
People when simulating the pedestrian's street crossing scene under different crossing width, and pedestrian stream choking phenomenon being taken to eliminate just
Row lateral road width value is as the second lower threshold of crossing width W4;
Step 3 determines crossing width upper and lower limit threshold value W according to the following formulamax、Wmin, and in identified upper and lower limit
Be between threshold value crossing to be optimized select a value as an optimization after crossing width:
Preferably, described to determine that crossing both ends wait for the setting pedestrian of street crossing to form a team rule according to pedestrian count data
Mould, the specific method is as follows:It counts crossing both ends to be optimized in multiple red signal periods of peak period and waits for street crossing
Pedestrian forms a team scale data sequence, and takes 85% quantile conduct respectively to obtained two pedestrians scale data sequence of forming a team
Crossing both ends wait for the setting pedestrian of street crossing to form a team scale.
Preferably, the value of the maximum acceptable delay accounting of the pedestrian's street crossing is 30%.
Preferably, the calculation formula of the pedestrian local density is specific as follows:
Wherein,It is the position coordinates for indicating certain point on crossing, t indicates to calculate the moment,It indicates
Moment, t was in positionOn local pedestrian density,Expression pedestrian i is (x in the position of t momenti,yi), R be weigh with
(x, y) is the center of circle, area is A=π R2Border circular areas in pedestrian weight parameter;The value of wherein weight parameter R is preferred
For 0.7m.
Preferably, the pedestrian's street crossing feelings under different crossing width are simulated using cellular automata pedestrian simulation model
Scape.
Preferably, the pedestrian count data of crossing to be optimized are acquired by way of video capture or manual research.
Compared with prior art, the invention has the advantages that:
1) present invention can avoid signalized intersections space-time from providing while ensureing pedestrian's street crossing comfort, efficiency and safety
The waste in source;
2) the problems such as the blindness of the invention that traffic engineer can be reduced during designing crossing, randomness.
Description of the drawings
Fig. 1 is the flow diagram of signalized intersections crossing width optimization method of the present invention;
Fig. 2 is crossing schematic diagram;
Fig. 3 is the pedestrian local density simulation result under different crossing width.
Specific implementation mode
Technical scheme of the present invention is described in detail below in conjunction with the accompanying drawings:
Reasonably optimizing is carried out to crossing width, be unable to do without accurate pedestrians crossing time model.It is existing at present
Pedestrians crossing time model includes:Pedestrians crossing time computation model [Transportation Research in HCM
Board.Highway Capacity Manual[M].Transportation Research Board of the
National Academies, Washington, D.C., 2010.], Alhajyaseen studied the science using wave theory and fluid force
By pedestrians crossing time computation model [Alhajyaseen W, the Nakamura H.Estimating the minimum of foundation
required width of signalized crosswalks considering bi-directional pedestrian
flow and different age groups[J].Journal of Asia Transport Studies(ATS),2010,
1(2):138-155.] and [Xu Liangjie, Wang Wei signalized intersections pedestrians crossing time model [J] such as Xu Liangjie and Wang Wei
Communication and Transportation Engineering journal, 2005,5 (1):111-115.] according to traffic conflict theory and can crossing gap it is theoretical, foundation by
The signalized intersections pedestrians crossing time model etc. of right turning vehicle interference;Wherein, document [Golani A, Damti H.Model
for Estimating Crossing Times at High-Occupancy Crosswalks.[J].Transportation
Research Record:Journal of the Transportation Research Board,2007,2002:125–
130.] disclosed in pedestrians crossing time model, expression formula is as follows:
In formula, TtThe time is crossed the street for pedestrian is practical;I is pedestrian start-up time;L is crossing length;W is crossing
Width;SpFor pedestrian crossing speed;NpedFor street pedestrian's sum in a signal period;Nped1、Nped2One is indicated respectively
In signal period, street pedestrian's number on a fairly large number of direction of street pedestrian and reversed street pedestrian's number.
The pedestrians crossing time model of Anais Golani and Harel Damti consider the retardation delay of pedestrian, and structure
The relationship of this delay and crossing width is built.Pedestrians crossing time is less than or equal to 5 feelings in unit width pedestrian's quantity
Under condition, the model of Anais Golani and Harel Damti can coincide well;And when unit width pedestrian's quantity is more than 5,
There is certain deviations for the two.The reason of leading to this deviation is Anais Golani and Harel Damti in modeling process
In do not recognize pedestrian stream opposite effect delay;They do not establish opposite effect delay and crossing width yet simultaneously
Between relationship, but show this delay with constant term.
In order to overcome the above problem, the present invention to improve the pedestrians crossing time model, phase is added wherein
It is delayed to effect, so-called opposite effect delay refers to delay, improved pedestrians crossing time caused by opposite Pedestrian conflicts
Model is specific as follows:
In formula, TtThe time is crossed the street for pedestrian is practical;TsFor pedestrian start-up time;L is crossing length;W is crossing
Width;SpFor pedestrian crossing speed;NpedFor street pedestrian's sum in a signal period;Nped1、Nped2One is indicated respectively
In signal period, street pedestrian's number on a fairly large number of direction of street pedestrian and reversed street pedestrian's number;TlIt indicates
Retardation is delayed, and refers to that pedestrian forms a team the delay generated in spreading process;TbIt indicates opposite effect delay, refers to opposite Pedestrian conflicts
Generated delay.
Improvement pedestrians crossing time model based on formula (1), present invention further proposes a kind of signalized intersections people rows
Lateral road width optimization method, as shown in Figure 1, this approach includes the following steps:
Length, original width and the pedestrian count data of step 1, acquisition crossing to be optimized, and united according to pedestrian
Counting determining crossing both ends waits for the setting pedestrian of street crossing to form a team scale.
Traffic environment data when the purpose of this step is acquisition and recording pedestrian's street crossing and pedestrian's data, traffic environment data
Include mainly the original width W (m) of the length L (m) and crossing of crossing to be optimized, the pedestrian of crossing to be optimized
Statistical data can be acquired by modes such as video capture or manual research.It is described to determine crossing two according to pedestrian count data
End waits for the setting pedestrian of street crossing to form a team scale, can determine according to actual needs, for example, can count multiple respectively in peak period
Crossing both ends to be optimized wait for the pedestrian of street crossing to form a team scale (number for waiting for street crossing) in the red signal period, then
It is directly maximized or average value waits for the setting crossed the street to form a team scale as crossing both ends;Present invention preferably employs following
Method:Counting crossing both ends to be optimized in multiple red signal periods of peak period waits for the pedestrian of street crossing to form a team scale
Data sequence, and take 85% quantile as crossing both ends respectively obtained two pedestrians scale data sequence of forming a team
The setting pedestrian of street crossing is waited for form a team scale.Certain value that quantile can be also adjusted according to actual conditions, such as desirable 70%,
80% or 90% etc..
Step 2 determines crossing width candidate thresholds, specifically includes:
(1) the first upper limit threshold of crossing width W is determined1:
To shown in formula (1) pedestrians crossing time model carry out differential can be obtained unit crossing width increment with it is right
Quantitative relationship between the pedestrians crossing time decrement answered, as shown in formula (2):
By identified crossing both ends in step 1 wait for the setting pedestrian of street crossing form a team numerical value in scale it is larger, compared with
Small setting pedestrian forms a team scale respectively as Nped1、Nped2Formula (2) is substituted into, and isA suitable threshold value is chosen, this
When a corresponding crossing width W can be calculated, as the first upper limit threshold of crossing width W1.According to reality
Border experience, above-mentioned threshold value setting range generally take 1s/m~4s/m.Bottom threshold takes 1s/m, because when width increases 1m, pedestrian
When crossing the street time decrement less than 1s, continues growing crossing width and have no too big meaning.In concrete practice, which can
It is determined according to practical intersection crossing free space size:When crossing limited space, unit width pedestrian
Street crossing time decrement can use larger, and when crossing installation space is relatively more than needed, this threshold value can accordingly take smaller.
(2) the first lower threshold of crossing width W is determined2:
By identified crossing both ends in step 1 wait for the setting pedestrian of street crossing form a team numerical value in scale it is larger, compared with
Small setting pedestrian forms a team scale respectively as Nped1、Nped2Pedestrians crossing time model shown in formula (1) is substituted into,
Available pedestrian at this time is practical to cross the street time Tt, retardation be delayed Tl, opposite effect be delayed TbBetween crossing width W
Relational expression, wherein retardation is delayed TlRefer to that pedestrian forms a team the delay generated in spreading process, opposite effect is delayed TbRefer to opposite
Delay caused by Pedestrian conflicts.
Calculate delay accounting PDC:Delay accounting is the ratio that retardation delay accounts for the practical street crossing time with the delay of opposite effect,
Shown in its calculation formula such as formula (3):
Finally calculate people's row when delay accounting is exactly equal to preset pedestrian's street crossing maximum acceptable delay accounting
The value of lateral road width W, the crossing width value are the first lower threshold of crossing width W2.It is sent out through a large amount of factual surveies
Existing, the maximum acceptable delay accounting of pedestrian's street crossing is 30% under normal conditions, therefore present invention preferably employs the values.
(3) the second upper limit threshold of crossing width W is determined3:
Pedestrian local density is to indicate pedestrian's distribution situation that some time is engraved on a certain position of crossing, and pedestrian is locally close
It spends shown in calculation formula such as formula (4), (5):
Wherein,It is the position coordinates for indicating certain point on crossing, t indicates to calculate the moment,It indicates
Moment, t was in positionOn local pedestrian density,Expression pedestrian i is (x in the position of t momenti,yi), R be weigh with
(x, y) is the center of circle, area is A=π R2Border circular areas in pedestrian weight parameter;The value of wherein weight parameter R is preferred
For 0.7m.
According to formula (4), (5), crossing width value of the pedestrian local density equal to predetermined threshold value when can be calculated, and
Using the crossing width value as the second upper limit threshold of crossing width W3.In present embodiment, according to pedestrian office
The definition of portion's density, in cellular automata pedestrian simulation model, (this is the prior art, and for details, reference can be made to document [Ren Gang, Lu
Lili*,Wang Wei,Gong Xiaolin,Hang Zhenfeng Microscopic simulation model for
pedestrian flow at signalized crosswalks.Transportation Research Record:
Journal of Transportation Research Board.]) in embedded above-mentioned local density computational algorithm, input
The parameter value of data record unit, operation simulation model can obtain the pedestrian local density level value on crossing.Simulation is not
With the pedestrian's street crossing scene under crossing width, when crossing width value progressively increases to keep pedestrian's local density values gradual
Being reduced to certain preset service level, (correspondence between each grade of service and pedestrian local density is referring to table 1, the present embodiment
Middle selection A service levels, i.e. pedestrian local density be equal to 0.9) under local density values when, take crossing width value at this time
W3Second upper limit value as crossing width.
Table 1:Street pedestrian local density under each grade service level
(4) the second lower threshold of crossing width W is determined4:
Under the premise of not allowing pedestrian to overflow crossing, it is existing that when crossing short of width, can cause pedestrian stream to be jammed
The generation of elephant, it is therefore desirable to which the critical point occurred according to pedestrian stream choking phenomenon determines the lower limiting value of crossing width.Herein
Existing all kinds of pedestrian simulation models can be utilized, by stream of people's situation under analog simulation difference crossing width, and are taken
Crossing width value when pedestrian stream choking phenomenon is eliminated just is as the second lower threshold of crossing width W4.For convenience
For the sake of, threshold value W is directly used in the present embodiment3When the used cellular automata for being embedded in pedestrian local density algorithm
Pedestrian simulation model simulates the pedestrian's street crossing scene under different crossing width.
Step 3 determines the crossing width after optimization:
According to the obtained two upper limit threshold W of step 21、W3And two lower threshold W2、W4, you can according to the following formula
To the upper and lower limit W of crossing reasonable wide valuemax、Wmin:
Finally, according to actual conditions in Wmax、WminBetween take a determining value as an optimization after crossing width,
And crossing width is reset.
In order to verify effect of the present invention, following experiment has been carried out:
Crossing width shown in Fig. 2 is optimized using the method for the present invention.Black circles representative waited in Fig. 2
The pedestrian in street, arrow indicate pedestrian advancing direction.Realize that the white space surrounded indicates crossing, solid black lines table by black
Show that crossing boundary, L indicate that crossing length, W indicate crossing width, unit is rice.
Manually mensuration obtains crossing data, crossing long 32m, wide 4.8m first;With videograph means
Street pedestrian's amount in the signal period is obtained, N is obtainedped1=Nped2=25.
Data are substituted into formula (2), obtain first upper limit value W of crossing width1=10.0m.
Data are substituted into formula (1), (3), first lower limiting value W is calculated2=4.8m.
Pedestrian's Cellular Automata model of operation embedded pedestrian local density algorithm, simulates crossing width from 2m
Pedestrian's street crossing motion conditions when 11m are changed to, simulation result is as shown in Figure 3.Obtained according to table 1 be in crossing width
Crossing service level class is A grades when 11m.Thus second upper limit value W of crossing width is obtained3=11.0m.Simultaneously
Emulation obtains pedestrian stream when crossing width is 2.8m and choking phenomenon does not occur in the process of running, thus obtains crossing
Second lower limiting value W of width4=2.8m.
Rational width ranging from 4.8m~10.0m of crossing at this is finally obtained according to formula (6).
In summary, the present invention has considered the abundant of the comfort of pedestrian, safety, high efficiency and time-space distribution
It utilizes, in conjunction with improved pedestrians crossing time model, reasonably optimizing is carried out to the setting width of signalized intersections crossing, one
Aspect has ensured the waste that signalized intersections time-space distribution is avoided while pedestrian's street crossing comfort, efficiency and safety, another
Aspect can reduce blindness of traffic design personnel during designing crossing, it is random the problems such as.Therefore, the present invention has
There is good application prospect.
Claims (9)
1. a kind of signalized intersections crossing width optimization method, which is characterized in that include the following steps:
Length, original width and the pedestrian count data of step 1, acquisition crossing to be optimized, and according to pedestrian count number
According to determining that crossing both ends wait for the setting pedestrian of street crossing to form a team scale;
Step 2 determines the first upper limit threshold of crossing width, the first lower threshold, the second upper limit threshold, the second lower limit threshold
Value, specifically includes:
(1) the first upper limit threshold of crossing width W is determined1, the specific method is as follows:
Pedestrians crossing time model is subjected to differential, the expression formula of the pedestrians crossing time model is specific as follows:
In formula, TtThe time is crossed the street for pedestrian is practical;TsFor pedestrian start-up time;L is crossing length;W is that crossing is wide
Degree;SpFor pedestrian crossing speed;NpedFor street pedestrian's sum in a signal period;Nped1、Nped2A letter is indicated respectively
In number period, street pedestrian's number on a fairly large number of direction of street pedestrian and reversed street pedestrian's number;TlExpression is prolonged
Hysteresis delay refers to that pedestrian forms a team the delay generated in spreading process;TbIt indicates opposite effect delay, refers to opposite Pedestrian conflicts institute
The delay of generation;
Obtain the quantitative relationship between unit crossing width increment and corresponding pedestrians crossing time decrement, specific formula
It is as follows:
It is in the range of 1s/m~4s/mIt chooses a determining value and substitutes into above formula, and by identified people's row in step 1
Lateral road both ends wait for the setting pedestrian of street crossing form a team larger, the smaller setting pedestrian of numerical value in scale form a team scale respectively as
Nped1、Nped2Above formula is substituted into, the W being calculated is as the first upper limit threshold of crossing width W1;
(2) the first lower threshold of crossing width W is determined2, the specific method is as follows:
Wait for the setting pedestrian of street crossing numerical value in scale of forming a team larger, smaller at identified crossing both ends in step 1
Setting pedestrian forms a team scale respectively as Nped1、Nped2The pedestrians crossing time model is substituted into, the practical mistake of pedestrian at this time is calculated
Street time Tt, retardation be delayed Tl, opposite effect be delayed TbWith the relational expression between crossing width W, and delay accounting is calculated
The value of crossing width W when the maximum acceptable delay accounting of exactly equal to preset pedestrian's street crossing, the crossing are wide
Angle value is the first lower threshold of crossing width W2, the expression formula of delay accounting PDC is as follows:
(3) the second upper limit threshold of crossing width W is determined3, the specific method is as follows:
Determine the crossing width value when pedestrian local density on crossing is equal to preset pedestrian's local density threshold,
And using the crossing width value as the second upper limit threshold of crossing width W3;
(4) the second lower threshold of crossing width W is determined4, the specific method is as follows:
People's row when simulating the pedestrian's street crossing scene under different crossing width, and pedestrian stream choking phenomenon being taken to eliminate just is horizontal
Road width value is as the second lower threshold of crossing width W4;
Step 3 determines crossing width upper and lower limit threshold value W according to the following formulamax、Wmin, and in identified upper and lower limit threshold value
Between be crossing to be optimized select a value as an optimization after crossing width:
2. signalized intersections crossing width optimization method as described in claim 1, which is characterized in that described to be united according to pedestrian
Counting determining crossing both ends waits for the setting pedestrian of street crossing to form a team scale, and the specific method is as follows:Count peak period
Crossing both ends to be optimized wait for the pedestrian of street crossing to form a team scale data sequence in multiple red signal periods, and to acquired
Two pedestrians form a team scale data sequence take respectively 85% quantile as crossing both ends wait for street crossing setting pedestrian
It forms a team scale.
3. signalized intersections crossing width optimization method as described in claim 1, which is characterized in that the pedestrian's street crossing is most
The value of big acceptable delay accounting is 30%.
4. signalized intersections crossing width optimization method as described in claim 1, which is characterized in that the pedestrian is locally close
The calculation formula of degree is specific as follows:
Wherein,It is the position coordinates for indicating certain point on crossing, t indicates to calculate the moment,Indicate moment t
In positionOn local pedestrian density,Expression pedestrian i is (x in the position of t momenti,yi), R is to weigh be with (x, y)
The center of circle, area are A=π R2Border circular areas in pedestrian weight parameter.
5. signalized intersections crossing width optimization method as claimed in claim 4, which is characterized in that use the embedded row
The cellular automata pedestrian simulation model of people local density calculation formula is equal to come the pedestrian local density determined on crossing
Crossing width value when preset pedestrian's local density threshold.
6. signalized intersections crossing width optimization method as claimed in claim 4, which is characterized in that the pedestrian is locally close
The value for spending threshold value is 0.9 people/m2。
7. signalized intersections crossing width optimization method as claimed in claim 4, which is characterized in that weight parameter R's takes
Value is 0.7m.
8. signalized intersections crossing width optimization method as described in claim 1, which is characterized in that utilize cellular automata
Pedestrian simulation model simulates the pedestrian's street crossing scene under different crossing width.
9. signalized intersections crossing width optimization method as described in claim 1, which is characterized in that by video capture or
The mode of manual research acquires the pedestrian count data of crossing to be optimized.
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