CN111882216A - Inter-city railway transportation capacity calculation method based on average minimum interval time - Google Patents

Inter-city railway transportation capacity calculation method based on average minimum interval time Download PDF

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CN111882216A
CN111882216A CN202010737183.0A CN202010737183A CN111882216A CN 111882216 A CN111882216 A CN 111882216A CN 202010737183 A CN202010737183 A CN 202010737183A CN 111882216 A CN111882216 A CN 111882216A
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杨欣
沈洁
吴建军
尹浩东
屈云超
孙会君
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Abstract

The invention provides an intercity railway transportation capacity calculation method based on average minimum interval time, which comprises the following steps: determining running train groups divided according to the stop times; determining the time of an extra occupied section according to the divided running train group, and further determining the total time of the train occupying the running chart; and calculating the transport capacity of the intercity railway according to the total time of the train occupying the operation diagram and the intercity railway transport capacity calculation model based on the average minimum interval time. The method can realize the calculation of the transportation capacity of any specific time period and passenger flow section, is particularly suitable for the calculation of the high-peak small-time transportation capacity in an intercity railway with obvious time period, is more beneficial to the analysis and adjustment of actual operation requirements of operators, greatly simplifies the calculation steps, has simple form and is easy to solve.

Description

Inter-city railway transportation capacity calculation method based on average minimum interval time
Technical Field
The invention relates to the technical field of intercity railway application management, in particular to an intercity railway transportation capacity calculation method based on average minimum interval time.
Background
The inter-city railway is a novel regional communication mode between the urban rail transit and the traditional railway, which appears along with the rapid development of urban mass transit integration. The seamless connection of traffic among different cities is realized through intercity railways, and the method is a core traffic mode for developing urban groups in the future. Along with the gradual closeness of the cities and the gradual deepening of the traffic integration strategy, the demand on the intercity railway is rapidly increased, so that the method for accurately evaluating the transport capacity of the intercity railway line is a key step of the intercity railway development.
The traditional railway trafficability calculation methods such as a computer simulation method and a deduction coefficient method are based on the theoretical basis of furthest exerting the potential of railway transportation equipment, and the service quality of train operation cannot be guaranteed. The average minimum interval time method adds buffer time on the basis of the average minimum interval time method, so that the train operation diagram has certain elasticity, but in order to adapt to the characteristic of single type of inter-city railway trains, new definition should be carried out on train groups. At the present stage, a line transportation capacity calculation method capable of adapting to the characteristics of intercity railways is still lacked.
Disclosure of Invention
The invention provides an inter-city railway transportation capacity calculation method based on average minimum interval time, which aims to overcome the defects of the prior art.
In order to achieve the purpose, the invention adopts the following technical scheme.
The invention provides an intercity railway transportation capacity calculation method based on average minimum interval time, which comprises the following steps:
determining running train groups divided according to the stop times;
determining the time of an extra occupied section according to the divided running train group, and further determining the total time of the train occupying the running chart;
and calculating the transport capacity of the intercity railway according to the total time of the train occupying the operation diagram and the intercity railway transport capacity calculation model based on the average minimum interval time.
Preferably, determining the train groups divided by the number of stops includes:
firstly, determining the number of midway stations with passenger transport boarding and alighting functions in intercity railway lines, classifying the trains according to the number of stop times n, and then forming two by two (n +1)2The train set is run, and the corresponding quantity of various train sets is obtained according to the stop times as shown in the following formula:
Figure BDA0002605516140000021
wherein, the formula (1) is (n +1) of train stopping 0 times, 1 time, 2 times, … and n times2And (3) planting the running train set, wherein the two numbers of the subscripts respectively represent the number of parking times of two corresponding trains in the running train set, and the formula (2) is the number of the corresponding running train sets.
Preferably, determining the extra occupied zone time comprises: the individually-drawn stop trains additionally occupy the total stop time of the operation diagram and the group-drawn stop trains additionally occupy the total stop time of the operation diagram, wherein the total stop time of the individually-drawn stop trains additionally occupy the operation diagram is shown as the following formula (3):
Figure BDA0002605516140000022
the total stop time of the train which is additionally occupied by the train at the stop station and is drawn in groups is shown as the following formula (4):
Figure BDA0002605516140000023
wherein, TtTime taken for one train stop, xijThe number of train groups consisting of trains stopping i times and trains stopping j times, n is the number of intermediate stations of the lineAmount of the compound (A).
Preferably, further determining the total time of the train occupancy schedule comprises calculating the total time of the train schedule occupied by operating the train consist according to the following equation (5):
Figure BDA0002605516140000031
wherein, tzTTracking interval time t for trains of express trains and stop trainsTzTracking interval time, t, for a train of a stopped train and a through trainTTTrain tracking interval time t of stop train and stop trainzzTracking the interval time for the through train and the train of the through train.
Preferably, the inter-city rail transport capacity calculation model based on the average minimum interval time includes: the following equation (6) is used as the objective function:
Figure BDA0002605516140000032
solving the maximum train number which can be passed by the intercity railway in a certain research time period under a certain service quality requirement, namely the transport capacity of the intercity railway, by taking the following formulas (7) to (12) as constraint conditions;
T+tr≤Ts(7)
Figure BDA0002605516140000033
Figure BDA0002605516140000034
Figure BDA0002605516140000035
Figure BDA0002605516140000041
xi,jnot less than 0 and is an integer (12)
Wherein k is the train running proportion and represents the proportion of the stop times of the trains to the total number of the running trains, and the calculation formula is
Figure BDA0002605516140000042
NmNumber of trains stopping m times, kmThe running proportion of the train stopping M times is shown, M represents the total running train number, lsThe train continuous-train ratio is a probability that a train set consisting of two trains of the same kind appears in a running chart, and the calculation formula is
Figure BDA0002605516140000043
xsRepresenting the number of running trains with the same stop times of two trains in the running train set, trFor buffering time, TsThe duration of the study period.
Preferably, the calculating the transport capacity of the intercity railway according to the total time of the train occupation operation diagram and the intercity railway transport capacity calculation model based on the average minimum interval time comprises the following steps: and (3) solving an intercity railway transportation capacity calculation model based on the average minimum interval time by using MATLAB or LINDO mathematical calculation software.
According to the technical scheme provided by the intercity railway transportation capacity calculation method based on the average minimum interval time, the total time of the train occupying the operation diagram is calculated by a method of combining two rows of adjacent trains into an operation train group as an operation diagram structural unit, so that an integer linear programming model is established, and the intercity railway transportation capacity is obtained according to the integer linear programming model; the method can realize the calculation of the transportation capacity of any specific time period and passenger flow section, is particularly suitable for the calculation of the high-peak small-time transportation capacity in an intercity railway with obvious time period, and is more beneficial to the analysis and adjustment of actual operation requirements of operators; (2) the input parameters can be flexibly adjusted according to different time period characteristics, so that the obtained transport capacity is more in line with the practical requirements; according to the method, the index parameters of the operation diagram are train type proportion and train continuous transmission proportion; a certain amount of buffer time suitable for the research time period can be added into the operation diagram, and the elasticity of the train operation diagram is kept; the method can avoid the specific stop scheme of each train in the calculation operation diagram, greatly simplifies the calculation steps, and is simple in form and easy to solve.
Additional aspects and advantages of the invention will be set forth in part in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention.
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In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings needed to be used in the description of the embodiments are briefly introduced below, and it is obvious that the drawings in the following description are only embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings without creative efforts.
Fig. 1 is a schematic flow chart of a method for calculating the transportation capacity of an intercity railway based on an average minimum interval time according to the embodiment;
fig. 2 is a schematic process diagram of the inter-city railway transportation capacity calculation method based on the average minimum interval time according to the embodiment.
Detailed Description
Reference will now be made in detail to embodiments of the present invention, examples of which are illustrated in the accompanying drawings, wherein like reference numerals refer to the same or similar elements or elements having the same or similar function throughout. The embodiments described below with reference to the accompanying drawings are illustrative only for the purpose of explaining the present invention, and are not to be construed as limiting the present invention.
As used herein, the singular forms "a", "an", "the" and "the" are intended to include the plural forms as well, unless the context clearly indicates otherwise. It will be further understood that the terms "comprises" and/or "comprising," when used in this specification, specify the presence of stated features, integers, steps, and/or operations, but do not preclude the presence or addition of one or more other features, integers, steps, operations, and/or groups thereof. It should be understood that the term "and/or" as used herein includes any and all combinations of one or more of the associated listed items.
It will be understood by those skilled in the art that, unless otherwise defined, all terms (including technical and scientific terms) used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. It will be further understood that terms, such as those defined in commonly used dictionaries, should be interpreted as having a meaning that is consistent with their meaning in the context of the prior art and will not be interpreted in an idealized or overly formal sense unless expressly so defined herein.
For the convenience of understanding of the embodiments of the present invention, the following description will be further explained by taking specific embodiments as examples with reference to the drawings, and the embodiments of the present invention are not limited thereto.
Examples
Fig. 1 is a schematic flow chart of a method for calculating transportation capacity of an intercity railway based on average minimum interval time according to this embodiment, and fig. 2 is a schematic specific process diagram of the method for calculating transportation capacity of an intercity railway based on average minimum interval time according to this embodiment, and with reference to fig. 1 and fig. 2, the method includes:
s1 determines the train consist to be operated according to the station stop number.
The method comprises the steps of firstly determining the number of midway stations with passenger transport boarding and alighting functions in an intercity railway line, and classifying trains according to the number of stop times n, wherein the number of the midway stations means the maximum stop times of the intercity train from a starting station to a terminal station in the running process. Then two by two (n +1)2The train set is run, and the corresponding quantity of various train sets is obtained according to the stop times as shown in the following formula:
Figure BDA0002605516140000061
wherein, the formula (1) is (n +1) of train stopping 0 times, 1 time, 2 times, … and n times2The two numbers of the subscripts of the train running set respectively represent two trains corresponding to the train running setThe formula (2) represents the number of the corresponding train groups.
S2, according to the divided running train group, the extra occupied section time is determined, and the total time of the train occupied running chart is further determined.
The extra occupied zone time refers to the extra increased occupied track time of the train due to the stop. The laying and drawing modes of the stop train can be divided into independent laying and drawing and grouped laying and drawing. Thus, determining the extra occupied zone time includes: the stop trains drawn individually additionally occupy the total stop time of the operating diagram and the stop trains drawn in groups additionally occupy the total stop time of the operating diagram.
The stop train which is laid and drawn separately is a running train group (n) consisting of 0-time stop train and i-time stop train0iAnd ni0) The total stop time of the stop train additionally occupying the operation diagram is shown as the following formula (3):
Figure BDA0002605516140000071
the train which stops the station and is laid and drawn in groups is n0iAnd ni0All train consists except the train consist. The total stop time of the train which is laid in groups and additionally occupies the operation diagram is shown as the following formula (4):
Figure BDA0002605516140000072
wherein, TtThe extra occupied time for stopping the train at one time generally consists of the additional time for starting and stopping the train and the time for the train to be stopped. x is the number ofijThe number of running train groups formed by stopping the trains i times and stopping the trains j times is shown, and n is the number of intermediate stations of the line.
Further determining the total time of the train occupying the operation diagram, firstly determining the train tracking interval time of various train sets in operation, including the train tracking intervals of the direct train and the stop train, the stop train and the direct train, the stop train and the stop train, and the direct train, and further calculating the total time of the train operation diagram occupied by the train sets according to the following formula (5):
Figure BDA0002605516140000073
wherein, tzTTracking interval time t for trains of express trains and stop trainsTzTracking interval time, t, for a train of a stopped train and a through trainTTTrain tracking interval time t of stop train and stop trainzzTracking the interval time for the through train and the train of the through train.
S3, calculating the transport capacity of the intercity railway according to the total time of the train occupying the operation diagram and the intercity railway transport capacity calculation model based on the average minimum interval time.
An intercity railway transport capacity calculation model based on average minimum interval time, comprising: the following equation (6) is used as the objective function:
Figure BDA0002605516140000081
solving the maximum train number which can be passed by the intercity railway in a certain research time period under a certain service quality requirement, namely the transport capacity of the intercity railway, by taking the following formulas (7) to (12) as constraint conditions;
T+tr≤Ts(7)
Figure BDA0002605516140000082
Figure BDA0002605516140000083
Figure BDA0002605516140000084
Figure BDA0002605516140000085
xi,jnot less than 0 and is an integer (12)
Wherein, the formula (7) is effective time constraint, which indicates that the total time T of the train operation diagram occupied by all the operation train groups must be within the duration range of the research time period; the formula (8) is the relation constraint of the train set and the train number, and is a relation formula of the train set and the train number obtained according to a train operation diagram structure taking the train set as a unit; the formula (9) is a constraint of the train continuous transmission proportion, and a corresponding value can be taken for the train continuous transmission proportion according to the actual requirement; the formula (10) represents: if three intermediate stations exist on a line, a train with 0 stop times (if the train tracks and runs, the train is regarded as a whole) is adjacent to the front and is necessarily provided with a running train set, and a corresponding back adjacent train set is also necessarily provided with a running train set, so that the sum of the two running train sets is necessarily equal; the formula (11) shows that at least one running train group with different types must exist in the running chart; equation (12) is a positive integer constraint, and the various train sets must be integers greater than or equal to zero.
Wherein k is the train running proportion and represents the proportion of the stop times of the trains to the total number of the running trains, and the calculation formula is
Figure BDA0002605516140000091
NmNumber of trains stopping m times, kmThe running proportion of the train stopping M times is shown, M represents the total running train number, lsThe train continuous-train ratio is a probability that a train set consisting of two trains of the same kind appears in a running chart, and the calculation formula is
Figure BDA0002605516140000092
xsRepresenting the number of running trains with the same stop times of two trains in the running train set, trFor buffering time, TsThe duration of the study period.
And (3) solving an intercity railway transportation capacity calculation model based on the average minimum interval time by using MATLAB or LINDO mathematical calculation software.
The following is a simulation calculation of actual data of the jingjingchun inter-city railway according to the method of the embodiment.
The circuit outline is as follows:
the Jingjin intercity railway is from the Beijing south station to the coastal station through the Tianjin station, the total length is about 166 kilometers, and 7 stations are arranged. The main service sections of the Jingjin intercity railway are a section from the Beijing south station to the Tianjin station, the route is the Yong le station, the Jizhuang station and the Wuqing station, the section is about 117 kilometers long, wherein the Yong le station and the Jizhuang station have no passenger riding and landing operation condition temporarily.
Step 1, determining the train running and train set divided according to the stop times.
From the perspective of long-term planning, in addition to the existing wuqing station operation of stopping stations, the frequency of stopping stations at the intermediate station of the jingjingchun intercity railway train in the operation process is 2 times under the assumption that the perpetual station has the function of passenger taking and landing. Therefore, the train can be divided into 0-time stop, 1-time stop and 2-time stop trains to obtain a train set n for forming a train line and train set00、n01、n02、n10、n11、n12、n20、n21、n22Nine corresponding running train sets with the number x00、x01、x02、x10、x11、x12、x20、x21、x22。
And 2, determining the time of the extra occupied section according to the divided train set of the train and the train set, and further determining the total time of the train occupying the operation diagram.
Setting the extra time T occupied by one time of inter-city train stop in JingjintAnd 7s, the total stop time of the stop train which is separately drawn and additionally occupies the operation diagram is as follows:
Figure BDA0002605516140000101
the total station stopping time of the train which is laid in groups and additionally occupies the operation diagram is as follows:
Figure BDA0002605516140000102
then determining the total time of the train occupying the operation diagram:
setting train tracking interval time t of the express train and the express train according to actual conditions of the Jingjin intercityzzThe train tracking interval time t is 4min, and the train tracking interval time t of the stop train and the express train, the stop train and the stop train, and the express train and the stop trainTz、tTT、tZTIt is 6 min.
The total time T of the train operation diagram occupied by the train operation group is obtained as follows:
Figure BDA0002605516140000103
and 3, calculating the transport capacity of the intercity railway according to the total time of the train occupying the operation diagram and the intercity railway transport capacity calculation model based on the average minimum interval time.
According to the actual conditions of the Beijing-jin intercity, the time duration T of the time period is researchedsSetting for 120min, dividing into three time periods of peak period, peak-leveling period and valley period according to passenger flow, and buffering time trRespectively taking values of 10min, 8min and 6min, and a train continuous transmission ratio lsRespectively taking values of 0.8, 0.8 and 0.4 to reach the train running proportion k0Train running proportion k with values of 0.75, 0.6 and 0.5 respectively and 1 stop1The values are 0.15, 0.2 and 0.3 respectively.
The parameters are respectively input into an intercity railway transport capacity calculation model based on the average minimum interval time to obtain an integer linear programming model, and the results obtained by using software MATLAB are shown in the following table 1:
TABLE 1
Figure BDA0002605516140000111
The calculation results show that after the average minimum interval time-based intercity railway transportation capacity calculation model of the embodiment gives the train occupation ratios and train continuous-distribution ratios of various types in advance, the obtained results can meet the actual requirements of the intercity railway of Jingjin in various time periods, the feasibility is high, the obtained results of the model not only obtain the numerical value of the transportation capacity, but also obtain the number of various operation type train sets, the analysis of the operation diagram structure is facilitated, and the results are more convincing.
Those skilled in the art should understand that the above-mentioned application types of the input box are only examples, and other existing or future application types of the input box, such as those applicable to the embodiments of the present invention, should be included in the scope of the present invention and are also included herein by reference.
From the above description of the embodiments, it is clear to those skilled in the art that the present invention can be implemented by software plus necessary general hardware platform. Based on such understanding, the technical solutions of the present invention may be embodied in the form of a software product, which may be stored in a storage medium, such as ROM/RAM, magnetic disk, optical disk, etc., and includes instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute the method according to the embodiments or some parts of the embodiments.
The above description is only for the preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any changes or substitutions that can be easily conceived by those skilled in the art within the technical scope of the present invention are included in the scope of the present invention. Therefore, the protection scope of the present invention shall be subject to the protection scope of the claims.

Claims (6)

1. An inter-city railway transportation capacity calculation method based on average minimum interval time is characterized by comprising the following steps:
determining running train groups divided according to the stop times;
determining the time of an extra occupied section according to the divided running train group, and further determining the total time of the train occupying the running chart;
and calculating the transport capacity of the intercity railway according to the total time of the train occupying the operation diagram and the intercity railway transport capacity calculation model based on the average minimum interval time.
2. The method of claim 1, wherein the determining the operating train groups divided by the number of stops comprises:
firstly, determining the number of midway stations with passenger transport boarding and alighting functions in intercity railway lines, classifying the trains according to the number of stop times n, and then forming two by two (n +1)2The train set is run, and the corresponding quantity of various train sets is obtained according to the stop times as shown in the following formula:
Figure FDA0002605516130000011
wherein, the formula (1) is (n +1) of train stopping 0 times, 1 time, 2 times, … and n times2And (3) planting the running train set, wherein the two numbers of the subscripts respectively represent the number of parking times of two corresponding trains in the running train set, and the formula (2) is the number of the corresponding running train sets.
3. The method of claim 1, wherein the determining the extra occupied section time comprises: the individually-drawn stop trains additionally occupy the total stop time of the operation diagram and the group-drawn stop trains additionally occupy the total stop time of the operation diagram, wherein the total stop time of the individually-drawn stop trains additionally occupy the operation diagram is shown as the following formula (3):
Figure FDA0002605516130000021
the total stop time of the train which is additionally occupied by the train at the stop station and is drawn in groups is shown as the following formula (4):
Figure FDA0002605516130000022
wherein, TtTime taken for one train stop, xijThe number of running train groups formed by stopping the trains i times and stopping the trains j times is shown, and n is the number of intermediate stations of the line.
4. The method of claim 1, wherein said further determining the total time of the train occupancy schedule comprises calculating the total time of the train occupancy schedule for operating the train consist according to the following equation (5):
Figure FDA0002605516130000023
wherein, tzTTracking interval time t for trains of express trains and stop trainsTzTracking interval time, t, for a train of a stopped train and a through trainTTTrain tracking interval time t of stop train and stop trainzzTracking the interval time for the through train and the train of the through train.
5. The method of claim 1, wherein the calculation model of the transportation capacity of the intercity railway based on the average minimum time interval comprises: the following equation (6) is used as the objective function:
Figure FDA0002605516130000024
solving the maximum train number which can be passed by the intercity railway in a certain research time period under a certain service quality requirement, namely the transport capacity of the intercity railway, by taking the following formulas (7) to (12) as constraint conditions;
T+tr≤Ts(7)
Figure FDA0002605516130000031
Figure FDA0002605516130000032
Figure FDA0002605516130000033
Figure FDA0002605516130000034
xi,jnot less than 0 and is an integer (12)
Wherein k is the train running proportion and represents the proportion of the stop times of the trains to the total number of the running trains, and the calculation formula is
Figure FDA0002605516130000035
NmNumber of trains stopping m times, kmThe running proportion of the train stopping M times is shown, M represents the total running train number, lsThe train continuous-train ratio is a probability that a train set consisting of two trains of the same kind appears in a running chart, and the calculation formula is
Figure FDA0002605516130000036
xsRepresenting the number of running trains with the same stop times of two trains in the running train set, trFor buffering time, TsThe duration of the study period.
6. The method for calculating the transportation capability of the intercity railway based on the average minimum interval time as claimed in claim 1, wherein the calculating the transportation capability of the intercity railway according to the total time of the train occupation operation diagram and the intercity railway transportation capability calculation model based on the average minimum interval time comprises: and (3) solving an intercity railway transportation capacity calculation model based on the average minimum interval time by using MATLAB or LINDO mathematical calculation software.
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Publication number Priority date Publication date Assignee Title
CN113256188A (en) * 2021-07-15 2021-08-13 广州地铁设计研究院股份有限公司 Regional track cross-line operation transport capacity evaluation interaction system
CN117370729A (en) * 2023-12-04 2024-01-09 中国铁道科学研究院集团有限公司电子计算技术研究所 Single-track railway passing capability calculation method and system based on running big data

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