CN113299105A - Tramcar network minimum departure interval calculation method - Google Patents
Tramcar network minimum departure interval calculation method Download PDFInfo
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- CN113299105A CN113299105A CN202110447229.XA CN202110447229A CN113299105A CN 113299105 A CN113299105 A CN 113299105A CN 202110447229 A CN202110447229 A CN 202110447229A CN 113299105 A CN113299105 A CN 113299105A
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- G08G1/00—Traffic control systems for road vehicles
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Abstract
The invention discloses a tramcar network minimum departure interval calculation method, which comprises the following steps: classifying the tramcar road network according to the line overlapping condition; under the condition of considering the green wave of the tramcar, the green wave of the social vehicles is further taken as a limiting condition, the green wave of the social vehicles influences whether the trunk line period is unified, and when the trunk line period is not unified, the period multiple relation among the intersections influences the minimum departure interval of the tramcar; respectively calculating the minimum periods of the single-line tramcar and the compound-line tramcar according to different conditions; and comprehensively considering different tramcar lines and intersection period combinations, and calculating the minimum departure interval of the tramcar network. The invention can ensure that the minimum departure interval of the single-line tramcar and the compound-line tramcar in the tramcar network can be calculated according to different green wave limiting conditions under the condition that different tramcar lines do not conflict.
Description
Technical Field
The invention belongs to the technical field of signal control, is used for a tramcar system, and relates to a tramcar network minimum departure interval calculation method.
Background
Along with the rapid development of economy, the urbanization process is increasingly accelerated, the quantity of motor vehicles is rapidly increased, and the urban traffic jam problem is increasingly seriously influenced. The rapid development of modern trams has become a consensus on alleviating traffic congestion problems, and the trams have advantages in terms of passenger comfort, cost and operation capacity and cannot be replaced by other public transportation modes. The networked operation of the tramcar needs to consider multiple factors, wherein the reasonable and effective tramcar departure interval is set, the network traffic efficiency of the tramcar can be effectively improved, the form of the road network is various, and the optimal minimum tramcar departure interval needs to be set according to different road network forms. The existing tramcar departure interval calculation method cannot consider the tramcar green wave and the social vehicle green wave at the same time, and cannot consider the on-line common rail condition.
Disclosure of Invention
The purpose of the invention is as follows: the invention provides a minimum departure interval calculation method for a tramcar network, aiming at perfecting the existing tramcar departure interval calculation method and applying the calculation method to the tramcar network.
In order to achieve the technical purpose, the technical scheme of the invention is as follows: a minimum departure interval calculation method for a tramcar network comprises the following steps:
(1) dividing the tramcar road network into a single line and a compound line according to the line overlapping condition, and regulating that at most one tramcar can be reached in each period under the compound line condition, and at most a double-line common rail is allowed;
(2) if the road network adopts social vehicle green waves, the minimum inter-vehicle distance of the single-line tramcar is the public cycle C, and the minimum inter-vehicle distance of the double-line common-rail tramcar is 2C; if the social vehicle green wave is not adopted, judging whether the periods of different intersections in the tramcar line have integral multiple relations or not, if so, entering the step (3), otherwise, entering the step (4);
(3) judging whether the tramcar is a single line, if so, the minimum departure workshop interval is the maximum value C of the intersection period in the linemaxIf the signal is the compound line tramcar, entering the step (5);
(4) judging whether the tramcar is a single line, if so, the minimum inter-vehicle distance is the minimum common multiple of the intersection period in the line; if the signal is the compound tramcar, judging whether the minimum common multiple of the cycle of the intersection in the line is equal to the maximum value C of the cycle of the intersection in the linemaxIf not, the minimum departure interval is the minimum common multiple of the cycle of the intersection in the line; if yes, entering the step (5);
(5) judging whether the intersection with the maximum period value isIf the common rail part is not in the common rail part, the minimum inter-train distance of the compound line tramcar is 2Cmax(ii) a If not in the common rail part, the minimum sending workshop interval of the compound line tramcar is Cmax;
(6) According to the steps (1) - (5), different tramcar lines and intersection period combinations are comprehensively considered, a tramcar network is split, and the minimum departure interval of the tramcars on each line is calculated.
Further, the classification of the tramcar road network in the step (1): the single line class includes: two groups of straight single line combinations, two groups of turning single line combinations and straight turning single line combinations; the multiple lines include: straight-going turning compound line combination and multi-group turning compound line combination.
Further, defining that the tramcar reaches the saturation capacity: and taking the maximum tramcar number reached by each intersection in 1 cycle as the tramcar saturation capacity n of the intersection.
Further, expanding the minimum departure interval calculation method of the tramcar to a road network, firstly splitting the road network, recording tramcar lines with the common rail condition, and summarizing common rail convergence points with the same number of lines into a related small road network; the minimum departure intervals of all lines in the small road network are the same, the minimum common multiple N of the original departure intervals when all lines only consider a single line is calculated, and if N is more than Max (T)1,T2,T3...,Tm) N is the minimum departure interval of all lines of the small road network, wherein TkThe period of the kth intersection in the common rail part of the small road network is shown, and m is the number of the intersections; if N is Max (T)1,T2,T3...,Tm) Then the minimum sending-to-receiving interval of all lines of the small road network is 2N.
Adopt the beneficial effect that above-mentioned technical scheme brought:
the invention comprehensively considers the green wave of the tramcar and the green wave of the social vehicle, simultaneously considers the line combination condition of the tramcar, respectively calculates the minimum departure interval of the single-line tramcar and the multi-line tramcar under different green waves and periodic conditions, not only can meet the green wave and minimize the delay of the tramcar, but also can enable the tramcar to reach at most one tramcar per period. The minimum departure interval calculation method for the tramcar is expanded to a road network, and the minimum departure intervals of all tramcar lines in the road network are calculated. The method of the invention does not need complex mathematical models and codes and is simple and convenient to operate.
Drawings
FIG. 1 is a flow chart of the method of the present invention;
FIG. 2 is a schematic diagram of a single line classification of a tramcar road network;
FIG. 3 is a schematic diagram of a tramcar network lane re-wiring classification;
FIG. 4 is a schematic diagram of the inductive control of a single-track tram arriving in sequence;
FIG. 5 is a schematic diagram of the induction control of the multi-line tramcar arriving in sequence;
fig. 6 is a schematic diagram of induction control of a multi-line tram arriving out of sequence.
Detailed Description
The technical solution of the present invention will be further explained with reference to the accompanying drawings.
As shown in fig. 1, the minimum departure interval calculation method for the tramcar network disclosed in the embodiment of the present invention includes the steps of dividing the tramcar network, calculating the minimum departure intervals of the single-line tramcars and the multi-line tramcars according to the green wave and social vehicle green wave conditions of the tramcars, calculating the minimum departure intervals of the single-line tramcars and the multi-line tramcars according to the periodic relationship between different intersections of the lines, and calculating the minimum departure intervals of the tramcars on all the lines under one road network; the specific implementation steps are as follows:
(1) the tramcar road network is classified according to the line overlapping condition, the tramcar road network is generally divided into a single line and a compound line, and the single line can be specifically divided into: two sets of turn single line combinations shown in fig. 2(a), two sets of straight single line combinations shown in fig. 2(B), and straight turn single line combinations shown in fig. 2 (C); the compound line can be divided into: a straight-going turn complex line combination shown in fig. 3(a), and a plurality of turn complex line combinations shown in fig. 3 (B); in order to conveniently calculate the minimum departure interval of the tramcar, defining the arrival saturation capacity of the tramcar: the maximum number of tramcars which can reach each intersection in 1 cycle is taken as the tramcar saturation capacity n of the intersection, and as shown in fig. 2, n is 1 in a single line combination; as shown in fig. 3, in the double-line combination, when the common rail portion reaches two streetcars within one cycle, n is 2, in the method, at most one streetcar per cycle is defined in the double-line combination, and at most the two-line common rail is allowed in the double-line combination.
(2) Under the condition of simultaneously considering the green wave of the tramcar and the green wave of the social vehicles, all intersections in the tramcar line adopt a common cycle C and the minimum departure interval t of the single-line tramcarminC; minimum departure interval t of compound line tramcarmin2C. Under the condition of only considering the green wave of the tramcar, the green wave of social vehicles is not required to be considered, a public cycle is not required to be adopted for an intersection in a tramcar line, whether integral multiple relations exist among cycles of different intersections in the tramcar line or not is judged, if yes, the step (3) is carried out, and if not, the step (4) is carried out.
(3) Judging whether the tramcar is a single line, if so, judging the minimum departure interval tminIs the maximum value C of the cycle of an intersection in a linemaxI.e. tmin=Cmax=max[C1,C2,C3...Cm]In which C ismRepresents the cycle of the m-th intersection; and (5) if the tramcar is a multi-line tramcar, entering the step (5).
(4) Judging whether the tramcar is a single line, if so, judging the minimum departure interval tminThe minimum common multiple of the cycle of the intersection in the line; if the signal is the compound tramcar, judging whether the minimum common multiple of the cycle of the intersection in the line is equal to the maximum value C of the cycle of the intersection in the linemaxIf not, the minimum departure interval tminThe minimum common multiple of the cycle of the intersection in the line; if so, go to step (5).
(5) Judging whether the intersection with the maximum period value is at the common rail part, if so, setting the minimum inter-train spacing of the compound tramcar to be 2CmaxI.e. tmin=2Cmax=2max[C1,C2,C3...Cm]If the common rail part is not located, the minimum sending workshop interval of the compound line tramcar is CmaxThe formula is as follows: t is tmin=Cmax=max[C1,C2,C3...Cm]。
(6) According to the steps (1) - (5), different tramcar lines and intersection period combinations are comprehensively considered, a tramcar network is split, and the minimum departure interval of the tramcars on each line is calculated.
As shown in FIG. 4, 3 continuous intersections in the single-track tram line are not assumed to adopt a common cycle and the intersection cycles are in integral multiple relation, wherein the cycle of the intersection 1 is C1Period C of intersection 22=2C1At intersection 3, cycle is C3=4C1The formula of the minimum departure interval of the tramcar is as follows: t is tmin=Cmax=C3The intersection 1 reaches one tramcar every 4 cycles on average, the intersection 2 reaches one tramcar every 2 cycles on average, and the intersection 4 reaches one tramcar every 1 cycle on average.
As shown in FIG. 5, the continuous intersections in the multi-line tram line do not adopt the common period and the intersection periods are in integral multiple relation, wherein the period of the intersection 1 is C1Period C of intersection 22=2C1At intersection 3, cycle is C3=C1At intersection 4, the period is C4=C1,Cmax=C2Since the intersection 2 is not located at the common rail part of the two lines, the minimum departure interval of the compound tramcar is not influenced by the arrival of the tramcar at the saturated capacity, and the formula of the minimum departure interval of the two tramcars is as follows: t is tmin=Cmax=C2=2C1All crossings reach one tramcar every 1 cycle; if the period of the intersection 1 is C1Period C of intersection 22=C1At intersection 3, cycle is C3=2C1At intersection 4, the period is C4=C1,Cmax=C3And the intersection 3 is at the common rail part of the two lines, so the minimum departure interval of the compound tramcar is influenced by the arrival of the tramcar at the saturated capacity, and the formula of the minimum departure interval of the two tramcars is as follows: t is tmin=2Cmax=2C3=4C1The crossings 1, 2 reach one tram every 4 cycles, the crossing 3 reaches one tram every 1 cycle, and the crossing 4 reaches one tram every 2 cycles.
As shown in FIG. 4, it is assumed that 3 continuous intersections in the single-track tram line do not adopt a common cycle and the intersection cycles are not in integral multiple relationship, wherein the cycle of the intersection 1 is C1Period C of intersection 22=1.5C1At intersection 3, cycle is C3=3C1The minimum inter-train distance of the tramcar is the minimum common multiple of the intersection period in the line, i.e. tmin=[C1,C2,C3]=3C1The intersection 1 reaches one tramcar every 3 cycles on average, the intersection 2 reaches one tramcar every 2 cycles on average, and the intersection 3 reaches one tramcar every 1 cycle on average.
As shown in fig. 5, it is assumed that the successive crossings in the tram line do not adopt a common cycle and the crossing cycles are not in integral multiple relationship, wherein (1) if the cycle of the crossing 1 is C1Period C of intersection 22=1.5C1At intersection 3, cycle is C3=3C1Period C of intersection 44=C1Least common multiple of four crossing cycles [ C [ ]1,C2,C3,C4]=C3=CmaxAnd the intersection 3 is at the common rail part, so the minimum departure interval of the double-track tramcar is influenced by the arrival of the tramcar at the saturated capacity, and the formula of the minimum departure interval of the two tramcars is as follows: t is tmin=2Cmax=2C3The intersection 1 reaches one tramcar every 6 cycles, the intersection 2 reaches one tramcar every 4 cycles, the intersection 3 reaches one tramcar every 1 cycle, and the intersection 4 reaches one tramcar every 3 cycles; (2) if the period of the intersection 1 is C1Period C of intersection 22=3C1At intersection 3, cycle is C3=1.5C1At intersection 4, the period is C4=C1Least common multiple of four crossing cycles [ C [ ]1,C2,C3,C4]=C2=CmaxAnd the intersection 2 is not at the common rail part, so the minimum departure interval of the compound tramcar is not influenced by the arrival of the tramcar at the saturated capacity, and the formula of the minimum departure interval of the two tramcars is as follows: t is tmin=Cmax=C2The intersection 1 reaches one tramcar every 3 cycles, the intersection 2 reaches one tramcar every 1 cycle, the intersection 3 reaches one tramcar every 1 cycle, and the intersection 4 reaches two tramcars every 3 cycles; (3) if the period of the intersection 1 is C1Period C of intersection 22=1.5C1At intersection 3, cycle is C3=1.5C1At intersection 4, the period is C4=C1Least common multiple of four crossing cycles [ C [ ]1,C2,C3,C4]=2C2=2C3=2Cmax>CmaxThe formula of the minimum departure interval of the two tramcars is as follows: t is tmin=[C1,C2,C3,C4]=3C1=2C2=2C3=3C4The intersection 1 reaches one tramcar every 3 cycles, the intersection 2 reaches one tramcar every 2 cycles, the intersection 3 reaches one tramcar every 1 cycle, and the intersection 4 reaches two tramcars every 3 cycles.
Expanding the minimum departure interval calculation method of the tramcar to a road network, firstly splitting the road network, recording tramcar lines with common rail conditions, and summarizing common rail convergence points with the same number of lines into a related small road network; the minimum departure intervals of all lines in the small road network are the same, the minimum common multiple N of the original departure intervals when all lines only consider a single line is calculated, and if the minimum common multiple N is more than Max (T)1,T2,T3...,Tm) N is the minimum departure interval of all lines of the small road network, wherein TkThe period of the kth intersection in the common rail part of the small road network is shown, and m is the number of the intersections; if the minimum common multiple N is Max (T)1,T2,T3...,Tm) If so, all lines of the small net are sent to the minimumThe workshop interval was 2N.
The road network shown in fig. 6 includes intersections 1 to 12 and a line A, B, C, D, E, F, G, each intersection has a period as shown in the figure, the road network is firstly split, the line F, G, E has no common rail junction point with the line A, B, C, D, three common rail points AB, BC and AD exist in the line A, B, C, D, a union set is taken, the line A, B, C, D and the intersections 1 to 10 associated therewith form an associated road network, the line F, G has a common rail point, and the line F, G and the intersections 11 and 12 associated therewith form an associated road network; considering only a single line, the minimum inter-vehicle spacing for line a is 4T, the minimum inter-vehicle spacing for line B is 4T, the minimum inter-vehicle spacing for line C is 2T, the minimum inter-vehicle spacing for line D is 6T, and the least common multiple N of the original minimum inter-vehicle spacing for line A, B, C, D is taken as [4T, 2T, 6T ═ 4T, 2T, 6T]12T, intersections 1, 2, 3, 4, 7 and 8 in the road network are in a complex line part, N is 12T > Max (4T, 4T, 2T and 6T), and the minimum departure interval T of all lines in the small road networkmin=12T。
If the green waves of the tramcar and the social vehicles are simultaneously considered in the road network, the public period T is adopted at all the intersections in the road network, and the minimum departure interval T of the tramcar ismin=nT=2T。
The embodiments are only for illustrating the technical idea of the present invention, and the technical idea of the present invention is not limited thereto, and any modifications made on the basis of the technical scheme according to the technical idea of the present invention fall within the scope of the present invention.
Claims (4)
1. A minimum departure interval calculation method for a tramcar network is characterized by comprising the following steps:
(1) dividing the tramcar road network into a single line and a compound line according to the line overlapping condition, and regulating that at most one tramcar can be reached in each period under the compound line condition, and at most a double-line common rail is allowed;
(2) if the road network adopts social vehicle green waves, the minimum inter-vehicle distance of the single-line tramcar is the public cycle C, and the minimum inter-vehicle distance of the double-line common-rail tramcar is 2C; if the social vehicle green wave is not adopted, judging whether the periods of different intersections in the tramcar line have integral multiple relations or not, if so, entering the step (3), otherwise, entering the step (4);
(3) judging whether the tramcar is a single line, if so, the minimum departure workshop interval is the maximum value C of the intersection period in the linemaxIf the signal is the compound line tramcar, entering the step (5);
(4) judging whether the tramcar is a single line, if so, the minimum inter-vehicle distance is the minimum common multiple of the intersection period in the line; if the signal is the compound tramcar, judging whether the minimum common multiple of the cycle of the intersection in the line is equal to the maximum value C of the cycle of the intersection in the linemaxIf not, the minimum departure interval is the minimum common multiple of the cycle of the intersection in the line; if yes, entering the step (5);
(5) judging whether the intersection with the maximum period value is at the common rail part, if so, setting the minimum inter-train spacing of the compound tramcar to be 2Cmax(ii) a If not in the common rail part, the minimum sending workshop interval of the compound line tramcar is Cmax;
(6) According to the steps (1) - (5), different tramcar lines and intersection period combinations are comprehensively considered, a tramcar network is split, and the minimum departure interval of the tramcars on each line is calculated.
2. The tram network minimum departure interval calculation method according to claim 1, wherein the tram network classification in step (1) is as follows: the single line class includes: two groups of straight single line combinations, two groups of turning single line combinations and straight turning single line combinations; the multiple lines include: straight-going turning compound line combination and multi-group turning compound line combination.
3. The tram network minimum departure interval calculation method according to claim 2, characterized by defining the tram arrival saturation capacity: and taking the maximum tramcar number reached by each intersection in 1 cycle as the tramcar saturation capacity n of the intersection.
4. According to claim 1-3, the minimum departure interval calculation method of the tramcar network is characterized by being expanded to a road network, firstly splitting the road network, recording tramcar lines with common rails, and summarizing common rail convergence points with the same number of lines into a related small road network; the minimum departure intervals of all lines in the small road network are the same, the minimum common multiple N of the original departure intervals when only single lines are considered is calculated, and if N is equal>Max(T1,T2,T3…,Tm) N is the minimum departure interval of all lines of the small road network, wherein TkThe period of the kth intersection in the common rail part of the small road network is shown, and m is the number of the intersections; if N is Max (T)1,T2,T3…,Tm) Then the minimum sending-to-receiving interval of all lines of the small road network is 2N.
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