CN111882216B - Inter-city railway transportation capacity calculation method based on average minimum interval time - Google Patents
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Abstract
The invention provides an inter-city railway transportation capacity calculation method based on average minimum interval time, which comprises the following steps: determining running train groups divided according to stop times; determining additional occupied section time according to the divided running train groups, and further determining total time of a train occupied running diagram; and calculating the transportation capacity of the inter-city railway according to the total time of the train occupation operation diagram and the inter-city railway transportation capacity calculation model based on the average minimum interval time. The method can realize the transportation capability calculation of any specific time period and passenger flow section, is particularly suitable for calculating the peak hour transportation capability in inter-city railways with obvious time period, is more beneficial to operators to analyze and adjust actual operation requirements, greatly simplifies calculation steps, has simple form and is easy to solve.
Description
Technical Field
The invention relates to the technical field of inter-city railway application management, in particular to an inter-city railway transportation capacity calculation method based on average minimum interval time.
Background
Inter-city railway is a novel regional communication mode between urban rail traffic and traditional railway along with the rapid development of urban mass transit integration. The seamless connection of traffic between different cities is realized through inter-city railways, and the method is a core traffic mode for developing urban groups in the future. Along with the gradual and close going and the gradual penetration of traffic integration strategies between cities, the demand of the inter-city railways also rapidly rises, so that the determination of a method capable of accurately evaluating the transportation capacity of the inter-city railways is a key step of the inter-city railway development.
The traditional railway passing capability calculation methods such as a computer simulation method and a subtraction coefficient method are based on the theory that the potential of railway transportation equipment is exerted to the maximum extent, and the service quality of train operation cannot be ensured. The average minimum interval time method adds buffer time on the basis of the average minimum interval time method, so that the train running diagram has certain elasticity, but in order to adapt to the characteristic of single type of the inter-city railway trains, new definition should be carried out on the train groups. At present, a line transportation capacity calculation method which can adapt to the characteristics of inter-city railways is still lacking.
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 above purpose, the present invention adopts the following technical scheme.
The invention provides an inter-city railway transportation capacity calculation method based on average minimum interval time, which comprises the following steps:
determining running train groups divided according to stop times;
determining additional occupied section time according to the divided running train groups, and further determining total time of a train occupied running diagram;
and calculating the transportation capacity of the inter-city railway according to the total time of the train occupation operation diagram and the inter-city railway transportation capacity calculation model based on the average minimum interval time.
Preferably, determining the running train group divided by the stop times includes:
firstly, determining the number of intermediate stations with passenger transport and landing functions in inter-city railway lines, classifying trains according to stop times n, and then forming (n+1) two by two 2 The number of the running train sets corresponding to the various running train sets is obtained according to the stop times, and the number is shown as the following formula:
wherein the formula (1) is (n+1) of trains of 0 times, 1 time, 2 times, … times and n times of trains obtained by classifying the trains 2 And (3) a train running group, wherein two digits of the subscript respectively represent the stopping times of two corresponding trains in the train running group, and the formula (2) is the number of the corresponding train running groups.
Preferably, determining the additional occupied zone time comprises: the total stop time of the independently paved stop train additionally occupied operation chart and the total stop time of the group paved stop train additionally occupied operation chart are shown in the following formula (3):
the total stop time of the stop train additionally occupied operation diagram of the group paving is shown in the following formula (4):
wherein T is t Time taken up for one stop of train, x ij The number of running train groups consisting of i times of train stopping and j times of train stopping is n, and the number of intermediate stations of the line is n.
Preferably, the further determining of the total time of the train occupancy pattern comprises calculating the total time of the train occupancy pattern occupied by the operating train consist according to the following equation (5):
wherein t is zT Train tracking interval time t for direct train and stop train Tz Tracking interval time t for trains of stop train and direct train TT Train tracking interval time t between stop trains zz The interval time is tracked for the direct train and the train of the direct train.
Preferably, the interurban railway transport capacity calculation model based on the average minimum interval time comprises: the following equation (6) is an objective function:
solving the maximum number of trains which can pass through the inter-city railway in a certain research period under a certain service quality requirement, namely the inter-city railway transportation capacity, by taking the following formulas (7) - (12) as constraint conditions;
T+t r ≤T s (7)
x i,j not less than 0 and is an integer (12)
Wherein k is the train running proportion, represents the proportion of the trains of each stop times to the total number of running trains, and has a calculation formula ofN m Representing the number of trains stopped m times, k m Representing the train running proportion of m stopsM represents the total number of trains driven, l s For train continuous emission proportion, the probability of the running train unit formed by two trains of the same type in the running chart is expressed, and the calculation formula is +.>x s Representing the number of running train sets with the same stop times of two trains in the running train set, t r For buffering time, T s Is the duration of the study period.
Preferably, calculating the transportation capacity of the inter-city railway according to the total time of the train occupation operation diagram and the calculation model of the transportation capacity of the inter-city railway based on the average minimum interval time comprises the following steps: and solving an intercity railway transportation capacity calculation model based on the average minimum interval time by using MATLAB or LINDO mathematical calculation software.
As can be seen from the technical scheme provided by the interurban railway transportation capacity calculation method based on the average minimum interval time, the method calculates the total time of the train occupation operation diagram by combining two adjacent trains into the operation train set as an operation diagram structural unit, thereby establishing an integer linear programming model, and obtaining the interurban railway transportation capacity according to the total time; the method can realize the transportation capacity calculation of any specific time period and passenger flow section, is particularly suitable for calculating the transportation capacity of the inter-city railway in peak hours 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 transportation capacity meets the actual requirements; according to the method, the index parameters of the running diagram are the train type duty ratio and the train continuous sending ratio; a certain amount of buffer time suitable for a research period can be added in the running diagram, and the elasticity of the train running diagram is maintained; the method can avoid calculating the stop scheme specific to each train in the running chart, greatly simplifies the calculation steps, has simple form and is 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.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings required for the description of the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only embodiments of the present invention, and other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
Fig. 1 is a schematic flow chart of a calculation method of inter-city railway transportation capacity based on average minimum interval time according to the present embodiment;
fig. 2 is a schematic diagram of a specific process of the inter-city railway transportation capability calculating method based on average minimum interval time according to the present embodiment.
Detailed Description
Embodiments of the present invention are described in detail below, examples of which are illustrated in the accompanying drawings, wherein the same or similar reference numerals refer to the same or similar elements or elements having the same or similar functions throughout. The embodiments described below by referring to the drawings are exemplary only for 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 expressly stated otherwise, as understood by those skilled in the art. 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 will 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 purpose of facilitating an understanding of the embodiments of the present invention, reference will now be made to the drawings, by way of example, and not to the limitation of the embodiments of the present invention.
Examples
Fig. 1 is a flow chart of an inter-city railway transportation capability calculating method based on an average minimum interval time provided in this embodiment, and fig. 2 is a specific flow chart of an inter-city railway transportation capability calculating method based on an average minimum interval time provided in this embodiment, and referring to fig. 1 and 2, the method includes:
s1, determining a running train unit divided according to the stop times.
The number of intermediate stations with the passenger transport and landing functions in the inter-city railway line is firstly determined, trains are classified according to stop times n, and the number of intermediate stations n means the maximum stop times of the inter-city trains in the running process from the starting station to the terminal station. Then two by two (n+1) 2 The number of the running train sets corresponding to the various running train sets is obtained according to the stop times, and the number is shown as the following formula:
wherein the formula (1) is (n+1) of trains of 0 times, 1 time, 2 times, … times and n times of trains obtained by classifying the trains 2 And (3) a train running group, wherein two digits of the subscript respectively represent the stopping times of two corresponding trains in the train running group, and the formula (2) is the number of the corresponding train running groups.
S2, determining additional occupied section time according to the divided running train groups, and further determining total time of the train occupied running diagram.
The extra occupied section time refers to an extra increase in occupied running pattern time of the train due to stop. The paving mode of the stop train can be divided into independent paving and grouped paving. Thus, determining additional occupancy zone time includes: the independently paved stop trains additionally occupy the total stop time of the running chart and the group paved stop trains additionally occupy the total stop time of the running chart.
The stop trains which are independently paved are running train groups (n) consisting of stop 0 times of trains and stop i times of trains 0i And n i0 ) The total stop time of the independently paved stop train additionally occupying the running chart is shown in the following formula (3):
the stop trains paved in groups are except n 0i And n i0 All but the running gear train. The total stop time of the stop train additionally occupied operation chart of the group paving is shown in the following formula (4):
wherein T is t The additional occupation time for stopping the train once is generally composed of the additional time for starting and stopping the train and the time for stopping the train. X is x ij The number of running train groups consisting of i times of train stopping and j times of train stopping is n, and the number of intermediate stations of the line is n.
The total time of the train occupation operation diagram is further determined, firstly, the train tracking interval time of various operation train units is required to be determined, wherein the train tracking interval time comprises the train tracking interval of the direct train and the stop train, the stop train and the direct train, the stop train and the direct train, and the train tracking interval of the direct train and the direct train, and then the total time of the train operation diagram occupied by the operation train unit is calculated according to the following formula (5):
wherein t is zT For direct trains and stopsTrain tracking interval time t of station train Tz Tracking interval time t for trains of stop train and direct train TT Train tracking interval time t between stop trains zz The interval time is tracked for the direct train and the train of the direct train.
S3, calculating the transportation capacity of the inter-city railway according to the total time of the train occupation operation diagram and the inter-city railway transportation capacity calculation model based on the average minimum interval time.
An interurban railway transport capacity calculation model based on an average minimum inter-interval time, comprising: the following equation (6) is an objective function:
solving the maximum number of trains which can pass through the inter-city railway in a certain research period under a certain service quality requirement, namely the inter-city railway transportation capacity, by taking the following formulas (7) - (12) as constraint conditions;
T+t r ≤T s (7)
x i,j not less than 0 and is an integer (12)
Wherein, the formula (7) is an 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 period; the formula (8) is a relation constraint of the running train set and the number of trains, and is a relation formula of the running train set and the number of trains obtained according to a train running diagram structure taking the running train set as a unit; the formula (9) is a constraint of train continuous-sending proportion, and can take corresponding value for the train continuous-sending proportion according to the actual demand; the formula (10) is: assuming that three intermediate stations exist on a line, the train with the stop times of 0 times (which is regarded as a whole if the train is tracked) is adjacent to the front of the train and is necessarily provided with a running train unit, and the corresponding rear of the train is also necessarily provided with the running train unit, so that the sum of the numbers of the two running train units is necessarily equal; equation (11) represents that there must be at least one running train set of different types in the running chart; equation (12) is a positive integer constraint, and each type of train must be an integer equal to or greater than zero.
Wherein k is the train running proportion, represents the proportion of the trains of each stop times to the total number of running trains, and has a calculation formula ofN m Representing the number of trains stopped m times, k m Represents the train running proportion of stopping M times, M represents the total running train number, l s For train continuous emission proportion, the probability of the running train unit formed by two trains of the same type in the running chart is expressed, and the calculation formula is +.>x s Representing the number of running train sets with the same stop times of two trains in the running train set, t r For buffering time, T s Is the duration of the study period.
And 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 Jinjin inter-city railway according to the method of the present embodiment.
Line overview:
the Beijing intercity railway is from the Beijing south station to the coastal station through the Tianjin station, the total length of the railway is about 166 km, and 7 stations are arranged. The main service section of the Jingjin inter-city railway is from Beijing south station to Tianjin station, and is from Yongle station, also zhuang station and Wu Qing station, the sections are about 117 km long, wherein the Yongle station and the also zhuang station have no passenger riding and descending operation condition.
And step 1, determining the running train unit divided according to the stop times.
From the aspect of long-term planning, besides the existing Wu Qing station for stopping operation, the Yongle station is also assumed to have the function of passenger taking and descending, so that the number of times that the Jingjin inter-city railway train can stop at an intermediate station in the running process is 2. Therefore, the trains can be divided into 0 stops, 1 stop and 2 stops to obtain the running train set n 00 、n 01 、n 02 、n 10 、n 11 、n 12 、n 20 、n 21 、n 22 Nine, the corresponding running train group quantity is x 00 、x 01 、x 02 、x 10 、x 11 、x 12 、x 20 、x 21 、x 22 。
And step 2, determining additional occupied section time according to the divided operation train set, and further determining total time of the train occupied operation diagram.
Setting the extra occupied time T for stopping the intercity train once t And 7s, the total stop time of the independently paved stop train additionally occupying the running chart is as follows:
the total stop time of the stop train additionally occupied operation chart paved in groups is as follows:
and then determining the total time of the train occupation operation diagram:
setting a direct train and a train tracking room of the direct train according to actual conditions of the Jingjin interurban areaTime interval t zz For 4min, train tracking interval time t of stop train and direct train, stop train and stop train Tz 、t TT 、t ZT 6min.
The total time T of the train operation diagram occupied by the operation train unit is obtained as follows:
and step 3, calculating the transportation capacity of the inter-city railway according to the total time of the train occupation operation diagram and the calculation model of the transportation capacity of the inter-city railway based on the average minimum interval time.
According to the actual condition of the Jingjin interurban area, the duration T of the research time period s Setting 120min, dividing into three time periods of peak period, flat peak period and low valley period according to passenger flow volume, and buffering time t r The values are respectively 10min, 8min and 6min, and the train continuous sending proportion l s The values of 0.8, 0.8 and 0.4 are respectively taken, and the direct train running proportion k is achieved 0 The values of the train running proportion k are respectively 0.75, 0.6 and 0.5, and the train stops for 1 time 1 The values are respectively 0.15, 0.2 and 0.3.
The above parameters are respectively input into an inter-city railway transportation capacity calculation model based on average minimum interval time to obtain an integer linear programming model, and the result obtained by using software MATLAB is shown in the following table 1:
TABLE 1
As can be seen from the calculation results, the inter-city railway transportation capacity calculation model based on the average minimum interval time in the embodiment can meet the actual requirements of the inter-city railway in all time periods of Jinjin by giving the duty ratio and the train continuous proportion of each type in advance, the feasibility is high, the numerical value of the transportation capacity is obtained by the model, the number of various running class groups is obtained, the analysis of the running diagram structure is facilitated, and the result is more convincing.
It should be understood by those skilled in the art that the above-described application types of input boxes are merely examples, and that other application types of input boxes that may be present in the present invention are also included in the scope of the present invention as applicable to the embodiments of the present invention, and are incorporated herein by reference.
From the above description of embodiments, it will be apparent to those skilled in the art that the present invention may be implemented in software plus a necessary general hardware platform. Based on such understanding, the technical solution of the present invention may be embodied essentially or in a part contributing to the prior art in the form of a software product, which may be stored in a storage medium, such as a ROM/RAM, a magnetic disk, an optical disk, etc., including several instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute the method described in the embodiments or some parts of the embodiments of the present invention.
The present invention is not limited to the above-mentioned embodiments, and any changes or substitutions that can be easily understood by those skilled in the art within the technical scope of the present invention are intended to be included in the scope of the present invention. Therefore, the protection scope of the present invention should be subject to the protection scope of the claims.
Claims (2)
1. An inter-city railway transportation capacity calculating method based on average minimum interval time is characterized by comprising the following steps:
determining running train groups divided according to stop times; the method specifically comprises the following steps:
firstly, determining the number of intermediate stations with passenger transport and landing functions in inter-city railway lines, classifying trains according to stop times n, and then forming (n+1) two by two 2 The number of the running train sets corresponding to the various running train sets is obtained according to the stop times, and the number is shown as the following formula:
wherein the formula (1) is (n+1) of trains of 0 times, 1 time, 2 times, … times and n times of trains obtained by classifying the trains 2 The running train sets are planted, two digits of the subscript respectively represent the stopping times of two corresponding trains in the running train sets, and the formula (2) is the number of the corresponding running train sets;
determining additional occupied section time according to the divided running train groups, and determining total time of a train occupied running diagram;
the determining the additional occupied section time includes: the total stop time of the independently paved stop train additionally occupied operation chart and the total stop time of the group paved stop train additionally occupied operation chart are shown in the following formula (3):
the total stop time of the stop train additionally occupied operation diagram of the group paving is shown in the following formula (4):
wherein T is t Time taken up for one stop of train, x ij The number of running train groups consisting of i times of trains and j times of trains is n, and the number of intermediate stations of the line is n;
the determining of the total time of the train occupation operation diagram comprises the steps of calculating the total time of the train operation diagram occupied by the operation train unit according to the following formula (5):
wherein t is zT Train tracking interval time t for direct train and stop train Tz Tracking interval time t for trains of stop train and direct train TT Train tracking interval time t between stop trains zz Tracking an interval time for the direct train and the train of the direct train;
calculating the transportation capacity of the inter-city railway according to the total time of the train occupation operation diagram and the inter-city railway transportation capacity calculation model based on the average minimum interval time; the method specifically comprises the following steps:
the following equation (6) is an objective function:
solving the maximum number of trains which can pass through the inter-city railway in a certain research period under a certain service quality requirement, namely the inter-city railway transportation capacity, by taking the following formulas (7) - (12) as constraint conditions;
T+t r ≤T s (7)
x i,j not less than 0 and is an integer (12)
Wherein k is the train running proportion and represents the number of times of stopping the train to occupy the running trainThe ratio of the total number of the vehicles is calculated asN m Representing the number of trains stopped m times, k m Represents the train running proportion of stopping M times, M represents the total running train number, l s For train continuous emission proportion, the probability of the running train unit formed by two trains of the same type in the running chart is expressed, and the calculation formula is +.>x s Representing the number of running train sets with the same stop times of two trains in the running train set, t r For buffering time, T s Is the duration of the study period.
2. The method for calculating the inter-city railway transportation capacity based on the average minimum interval time according to claim 1, wherein the calculating the inter-city railway transportation capacity based on the total time of the train occupation operation map and the inter-city railway transportation capacity calculation model based on the average minimum interval time comprises the steps of: and 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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