CN103632555B - A kind of based on green wave band width maximized arterial highway Philodendron ‘ Emerald Queen' timing method - Google Patents

A kind of based on green wave band width maximized arterial highway Philodendron ‘ Emerald Queen' timing method Download PDF

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CN103632555B
CN103632555B CN201310617878.5A CN201310617878A CN103632555B CN 103632555 B CN103632555 B CN 103632555B CN 201310617878 A CN201310617878 A CN 201310617878A CN 103632555 B CN103632555 B CN 103632555B
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季彦婕
胡波
王炜
汤斗南
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Southeast University
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Abstract

The invention discloses a kind of based on green wave band width maximized arterial highway Philodendron ‘ Emerald Queen' timing method, comprise the steps: 1) investigate signalized intersections geometry parameters and basic timing parameter on arterial highway, calculate the scaled distance D between crossing i; 2) calculate span and the iteration step length of ideal signal spacing, obtain the value set A of ideal signal spacing; 3) divide ideal signal relative position, based on green ripple costing bio disturbance rule, calculate institute likely ideal signal spacing value A jmaximum green wave band width G WB on lower main line j; 4) GWB is chosen jin maximal value be optimum green wave band width G WB *, calculate the green time difference of each crossing, obtain the cooperation control timing scheme that main line green wave band width is maximum.

Description

A kind of based on green wave band width maximized arterial highway Philodendron ‘ Emerald Queen' timing method
Technical field
The invention belongs to the green ripple control technology of main line in traffic signalization field, relate to a kind of cooperation control timing method making arterial highway two-way green wave bandwidth maximum.
Background technology
The crossing of China on urban road network arterial highway mostly is signalized crossing, carries out vehicle when single point signals controls respectively and frequently stops in crossing, therefore causes the traffic problems such as road network operational efficiency is low, trip delay increase.For reducing the down time of vehicle on each intersection, a collection of adjacent traffic signal on a main line being united, in addition cooperation control, reducing traffic delay and the parking rate of wagon flow on main line, the whole urban traffic conditions of improvement is significant.
The principle of design of timing arterial highway green ripple signal coordinated control mainly contains two kinds: the wide maximization of green wave band and delay minimize.Wherein green wave band wide maximization method for designing is the green time difference by changing each crossing on main line, pursue the maximization of theoretical green ripple transit time and common signal periodic ratio, namely using the theoretical green wave band width in signal spacetime diagram as the evaluation index of timing scheme cooperation control effect.Common method ills method and algebraic method.Wherein graphical method is intuitively easy to operate, but subjectivity is comparatively large, and situation when being not suitable for that on main line, crossing is more.And algebraic method has advantages such as calculating succinctly, realization is convenient, workable, and be used widely in some arterial road coordinate control actual system design, in many textbooks, also it can be used as classical way to be introduced.
But can be found by graphical method checking, the green wave band of the timing scheme that traditional algebraic method provides is wide is not that maximum green wave band is wide.In addition, the scheme of the change speed limit that traditional algebraic method proposes is difficult to realize in arterial highway, actual cities, and in fact the speed limit of urban trunk is all generally unified, and the travel speed of vehicle on same section is also relatively stable.Moreover traditional algebraic method only considered the wide calculating of green wave band ideally, does not consider the delay situation that may occur in actual section, the delay that causes of queuing vehicle in advance of the delay produced as bus stop station and crossing.
In order to overcome above-mentioned defect, the present invention improves conventional rail signal coordinated control number solution method, under prerequisite easy to implement, to consider actual vehicle performance in operation, proposes a kind of based on green wave band width maximized arterial highway Philodendron ‘ Emerald Queen' timing new method.
Summary of the invention
Technical matters: the present invention on Philodendron ‘ Emerald Queen' number solution method basis, traditional arterial highway, provide a kind of make main line green wave band wide maximum, calculate easy and be easy to Practical Project operation based on green wave band width maximized arterial highway Philodendron ‘ Emerald Queen' timing method.
Technical scheme: of the present invention based on green wave band width maximized arterial highway Philodendron ‘ Emerald Queen' timing method, comprises the following steps:
1) investigate the basic geometric parameters of signalized intersections on main line and timing parameter, it is N number of for obtaining signalized intersections number on main line, and the road section length between i-th crossing and first crossing is D0 i, i=1,2 ..., N, the split of i-th crossing is λ i, i=1,2 ..., N, on main line, the span of common signal cycle C is C ∈ [C min, C max], on main line, the average running speed of vehicle is v, calculates the scaled distance D between crossing i, i=1,2 ..., N;
2) based on investigating the basic parameter obtained in step 1), the span calculating ideal signal spacing a is: a ∈ [C minv/2, C maxv/2], the iteration step length of ideal signal spacing a is: s=v/2; Then according to formula A j=C minv/2+s *(j-1) all possible value A of ideal signal spacing a are calculated j, and generate ideal signal spacing a the set A of likely value, A={C minv/2, C minv/2+s, C minv/2+2s ... C minv/2+s* (j-1) ... C maxv/2}, wherein j is the iteration step length possible chosen, j=1,2 ..., C max-C min+ 1;
3) each possibility value A of ideal signal spacing a as follows, is calculated respectively junder, the maximum green wave band width on main line:
31) the crossway of the main stem remainder vector y=[y is first calculated 1, y 2..., y n], wherein y ifor D idivided by A jthe remainder obtained, then calculates based on the crossway of the main stem remainder vector y and rotates remainder vector y '=[y 1', y 2' ..., y n'], finally the crossway of the main stem remainder vector y and all elements rotated in remainder vector y ' are merged in a vector, and all elements obtained after merging in vector is sequentially sorted from small to large by value, obtain ideal signal spacing split vector Y=[Y 1, Y 2..., Y 2N];
32) ideal signal relative position value set X=[X is calculated 1, X 2... X k, X 2N], wherein ideal signal relative position may value X k=(Y k+ Y k+1)/2, k=1,2 ..., 2N-1, X 2N=(Y 2N+ A j)/2;
33) first utilize green letter costing bio disturbance rule, calculating each ideal signal relative position as follows respectively may value X kunder main line green wave band width G WB0 j,k:
Calculating ideal signal relative position may value X kthe front green ripple loss Lf that lower signalized intersections i is corresponding iwith rear green ripple loss Lb i, i=1,2 ..., N; Then all Lf are chosen iin maximal value may value X as ideal signal relative position kthe front green ripple loss LfM that lower main line green wave band is wide k, choose all Lb iin maximal value may value X as ideal signal relative position kthe rear green ripple loss LbM that lower main line green wave band is wide k; Finally calculating ideal signal relative position may value X kunder main line green wave band width G WB0 j,k=50%-LfM k-LfM k;
34) all GWB0 are chosen j,kin maximal value as the possible value A of ideal signal spacing a junder, the maximum green wave band width G WB on main line j;
4) the maximum green wave band width G WB on all main lines is chosen jin maximal value, by the possible value A of the ideal signal spacing a corresponding to it jas optimum ideal signal distance values a *, then calculate the optimum common period value C of main line *=2a */ v, and then the green time difference Oi calculating i-th crossing according to green time difference computation rule, finally by optimum for main line common period value C *with green time difference of all crossings as the optimistic coordinated control timing scheme making the green wave width of main line maximum.
The inventive method makes improvement on Philodendron ‘ Emerald Queen' number solution method basis, traditional arterial highway, can obtain the cooperation control timing scheme that makes arterial highway two-way green wave bandwidth maximum by rapid solving.
Beneficial effect: the present invention compared with prior art, has the following advantages:
Conventional rail Philodendron ‘ Emerald Queen' number solution method exists and is not easy to engineering construction, does not consider that actual delay in vehicle operation and green ripple costing bio disturbance principle consider the problems such as not comprehensive.The present invention is based on Problems existing in traditional algebraic method and propose new main line Philodendron ‘ Emerald Queen' timing method, the Computing Principle of the wide degree of effective green wave band is improved by calculating the green letter loss in front and back respectively, in algebraic method, the operating delay situation of actual vehicle is considered by arranging scaled distance, make solving result be easier to actual use by changing ideal signal obtaining value method, and propose new optimum ideal signal position method for searching.The present invention propose method Vehicular behavior easy to implement, more realistic and accurately can try to achieve the cooperation control timing scheme making arterial highway two-way green wave bandwidth maximum.
Accompanying drawing explanation
Fig. 1 is the process flow diagram that the present invention is based on green wave band width maximized arterial highway Philodendron ‘ Emerald Queen' timing method.
Embodiment:
Illustrate the present invention further below, these embodiments should be understood only be not used in for illustration of the present invention and limit the scope of the invention, after having read the present invention, the amendment of those skilled in the art to the various equivalent form of value of the present invention has all fallen within claim limited range.
Of the present invention based on green wave band width maximized arterial highway Philodendron ‘ Emerald Queen' timing method, comprise the steps:
1) investigation obtains signalized intersections geometry parameters and basic timing parameter on arterial highway: investigate the basic geometric parameters of signalized intersections on main line and timing parameter, it is N number of that investigation obtains signalized intersections number on main line, and the road section length between i-th crossing and first crossing is D0 i, i=1,2 ..., N, the split of i-th crossing is λ i, i=1,2 ..., N, on main line, the span of common signal cycle C is C ∈ [C min, C max], on main line, the average running speed of vehicle is v.
The present invention is by calculating the scaled distance D between crossing iconsider the delay existed in vehicle actual motion, computing method are as follows:
D i=D0 i+(Q*h+l 1+SD)*V
Wherein, D iit is the new imaginary distance after converting between crossing, upstream i and downstream intersection i+1; D0 iactual range between crossing, upstream i and downstream intersection i+1; Q is the average queuing vehicle in advance on each Through Lane in downstream intersection i+1 place; H queuing vehicle dissipate time headway from; l 1it is vehicle launch loss; SD is the average dwell time of public transport on the i-i+1 of section; V is the average running speed of vehicle.
2) calculate span and the iteration step length of ideal signal spacing, and generate ideal signal spacing a the set of likely value.
Tradition algebraic method proposes the concept of " ideal signal ", and find the position of " ideal signal " on main line, i.e. the spacing of " ideal signal " is the core missions of traditional algebraic method.This method has continued to use the green time difference method to set up in actual crossing in traditional algebraic method: " ideal signal " is split is 50%, the imaginary intersection mouth that equidistantly distributes on main line, ideal signal spacing refer to these virtual with one voice between distance, between adjacent ideal signal, composition is mutual coordinates, and namely the green time difference is 50%.Actual crossing on main line and form between nearest ideal signal synchronous mode coordinate, namely the green time difference is 0%.
But traditional algebraic method exists, and inconvenient Practical Project is implemented, the ideal signal spacing that finds is not the problems such as optimum solution, this method is improved traditional algebraic method with regard to ideal signal spacing value, green ripple loss calculation method and optimum ideal signal spacing method for searching three aspects.Wherein, calculating span and the iteration step length of ideal signal spacing first as follows: based on investigating the basic parameter obtained in step 1), calculating the span of ideal signal spacing a and the iteration step length s of a value; The span of ideal signal spacing a is: a ∈ [C minv/2, C maxv/2], the iteration step length of ideal signal spacing a is: s=v/2;
Then according to span and the iteration step length of the ideal signal spacing a calculated, the possible value A that ideal signal spacing a is all is calculated j, and generate ideal signal spacing a the set A of likely value, A={C minv/2, C minv/2+s, C minv/2+2s ... C minv/2+s* (j-1) ... C maxv/2}, wherein A j=C minv/2+s* (j-1), j=1,2 ..., C max-C min+ 1, j is the iteration step long number possible chosen, j=1,2 ..., C max-C min+ 1.
3) each possibility value A of ideal signal spacing a is calculated respectively junder, the maximum green wave band width G WB on main line j; May value A for each j, calculation procedure is roughly the possible value A first calculated at desirable sitgnal distancel a jthe value set X of lower ideal signal relative position; Then the possible value A at desirable sitgnal distancel a is calculated junder, all ideal signal relative positions may value X klower main line green wave band width value GWB0 j,k; Finally choose maximal value wherein as the maximum green wave band width G WB on main line j.Concrete step is as follows:
31) calculate ideal signal spacing split vector: the thought adopting annular segmentation, some lines have N number of signalized crossing, then the possible value of ideal signal relative position has at most 2N.Circular is as follows:
First the crossway of the main stem remainder vector y=[y is calculated 1, y 2..., y n], wherein y ifor D idivided by A jthe remainder obtained.Based on the crossway of the main stem remainder vector y obtained, adopt the thought of annular segmentation, be arranged in all crossings on main line in an annulus, wherein the girth of annulus represents the possible value A of ideal signal interval a j, the relative distance y of arc length representative in an ideal signal interval between each crossing in circumference between crossing i.By the figure obtained after turnback is revolved in the center of circle and original graphs coincide.Obtain rotating remainder vector y '=[y based on postrotational figure 1', y 2' ..., y n'], remainder vector y and all elements rotated in remainder vector y ' are merged in a vector, and after merging, all elements, by value order sequence from small to large, obtains ideal signal spacing split vector Y=[Y 1, Y 2..., Y 2N];
32) set of ideal signal relative position value is calculated
Ideal signal relative position value set X=[X is calculated based on ideal signal spacing split vector Y 1, X 2..., X 2N], wherein X k=(Y k+ Y k+1)/2, k=1,2 ..., 2N-1, X 2N=(Y 2N+ A j)/2;
33) the possible value A of ideal signal spacing a is calculated junder, each ideal signal relative position may value X klower main line green wave band width value GWB0 j,k
Consider the actual split in crossing, between actual crossing and ideal signal offsetting distance, actual crossing relative ideal signal front and back position, the green ripple in single crossing place loss computation rule as shown in table 1.
The green ripple costing bio disturbance rule of table 1
Wherein, d is the offsetting distance between actual crossing and its nearest ideal signal; A is ideal signal interval; λ is the split of actual crossing, λ ∈ (0,1), front and back position between actual crossing and corresponding ideal signal judges according to the direction of traffic of vehicle on arterial highway, at direction of traffic place, actual crossing then thinks that actual crossing is before corresponding ideal signal relative to corresponding ideal signal, otherwise then think that actual crossing is after corresponding ideal signal.
According to the computation rule proposed, calculating all ideal signal relative positions may value X kthe front green ripple loss Lf that lower signalized intersections i is corresponding iwith rear green ripple loss Lb i, i=1,2 ..., N.Choose all Lf iin maximal value may value X as ideal signal relative position kthe front green ripple loss LfM that lower main line green wave band is wide k, choose all Lb iin maximal value may value X as ideal signal relative position kthe rear green ripple loss LbM that lower main line green wave band is wide k.This ideal signal relative position may value X kunder main line green wave band width G WB0 j,k=50%-LfM k-LfM k;
34) all GWB0 are chosen j,kin maximal value as the possible value A of ideal signal spacing a jmaximum green wave band width G WB on lower main line j.
4) maximum green wave band width G WB is chosen *, calculate the cooperation control timing scheme making main line green wave band width maximum:
Choose all GWB jin maximal value GWB *, the possible value A of the ideal signal spacing a corresponding to it jbe optimum ideal signal distance values a *, the ideal signal relative position of its correspondence may value X kbe optimum ideal signal relative position X *, then the optimum common period value C of main line *=2a */ v.The green time difference O of i-th crossing is calculated according to green time difference computation rule i: according to X *and a *, on main line, the distance of distance first actual crossing of each ideal signal is X *+ nza *, nz=0,1,2 ..., distance is X *ideal signal be that first ideal signal is numbered 1, number consecutively afterwards, if be even number with the numbering ordinal number of the hithermost intersection of ideals prong in actual crossing, then the green time difference of this actual crossing is (50-λ i/ 2) %; If be odd number with the numbering ordinal number of the hithermost intersection of ideals prong in actual crossing, then the green time difference of this actual crossing is (100-λ i/ 2) %.Calculate the optimum common period value C of main line *with the green time difference O of each crossing i, finally by optimum for main line common period value C *with green time difference of all crossings as the optimistic coordinated control timing scheme making the green wave width of main line maximum.

Claims (1)

1., based on a green wave band width maximized arterial highway Philodendron ‘ Emerald Queen' timing method, it is characterized in that, the method comprises the steps:
1) investigate the basic geometric parameters of signalized intersections on main line and basic timing parameter, it is N number of for obtaining signalized intersections number on main line, and the road section length between i-th crossing and first crossing is D0 i, i=1,2 ..., N, the split of i-th crossing is λ i, i=1,2 ..., N, on main line, the span of common signal cycle C is C ∈ [C min, C max], on main line, the average running speed of vehicle is v, calculates the scaled distance D between crossing i, i=1,2 ..., N;
2) based on described step 1) in investigate the basic timing parameter that obtains, the span calculating ideal signal spacing a is: a ∈ [C minv/2, C maxv/2], the iteration step length of ideal signal spacing a is: s=v/2; Then according to formula A j=C minv/2+s* (j-1) calculates all possible value A of ideal signal spacing a j, and generate ideal signal spacing a the set A of likely value, A={C minv/2, C minv/2+s, C minv/2+2s ... C minv/2+s* (j-1) ... C maxv/2}, wherein j is the iteration step long number possible chosen, j=1,2 ..., C max-C min+ 1;
3) each possibility value A of ideal signal spacing a as follows, is calculated respectively junder, the maximum green wave band width on main line:
31) the crossway of the main stem remainder vector y=[y is first calculated 1, y 2..., y n], wherein y ifor D idivided by A jthe remainder obtained, then calculates based on described the crossway of the main stem remainder vector y and rotates remainder vector y '=[y 1', y 2' ..., y n'], finally the crossway of the main stem remainder vector y and all elements rotated in remainder vector y ' are merged in a vector, and all elements obtained after merging in vector is sequentially sorted from small to large by value, obtain ideal signal spacing split vector Y=[Y 1, Y 2..., Y 2N];
32) ideal signal relative position value set X=[X is calculated 1, X 2... X k..., X 2N], wherein ideal signal relative position may value X k=(Y k+ Y k+1)/2, k=1,2 ..., 2N-1, X 2N=(Y 2N+ A j)/2;
33) first utilize green letter costing bio disturbance rule, calculating each ideal signal relative position as follows respectively may value X kunder main line green wave band width G WB0 j,k:
Calculating ideal signal relative position may value X kthe front green ripple loss Lf that lower signalized intersections i is corresponding iwith rear green ripple loss Lb i, i=1,2 ..., N; Then all Lf are chosen iin maximal value may value X as ideal signal relative position kthe front green ripple loss LfM that lower main line green wave band is wide k, choose all Lb iin maximal value may value X as ideal signal relative position kthe rear green ripple loss LbM that lower main line green wave band is wide k; Finally calculating ideal signal relative position may value X kunder main line green wave band width G WB0 j,k=50%-LfM k-LfM k;
34) all GWB0 are chosen j,kin maximal value as the possible value A of ideal signal spacing a junder, the maximum green wave band width G WB on main line j;
4) the maximum green wave band width G WB on all main lines is chosen jin maximal value, by the possible value A of the ideal signal spacing a corresponding to it jas optimum ideal signal distance values a*, then calculate the optimum common period value C*=2a*/v of main line, and then calculate the green time difference O of i-th crossing according to green time difference computation rule i, finally using the green time difference of optimum for main line common period value C* and all crossings as the optimistic coordinated control timing scheme making the green wave width of main line maximum.
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