Rail transit cross-line train service spacing calculation method and system

Abstract

The invention relates to a rail transit cross-line train service spacing calculation method and system. The method comprises the steps that the travel time of passengers in a cross-line section is calculated; the passenger arrival connection time is calculated; constructing an overline train service spacing relation model by taking the minimum sum of the travel time of the passenger in the overline section and the arrival connection time as a target; regarding the model as a function of the sum of travel time and arrival connection time of the passenger in the cross-line section about the service spacing of the cross-line trains, and deriving to obtain a calculation formula of the service spacing of the cross-line trains; and constraint conditions are set in the calculation formula, parameter values are taken, and the service spacing of the cross-line trains is obtained through calculation. According to the method, the passenger travel distance, the highest train running speed, the dwell time and the train acceleration and deceleration are comprehensively considered on the basis of the whole passenger cross-line travel process, the cross-line train service spacing calculation model is established, quantitative calculation of the cross-line train service spacing is achieved, the settlement result is accurate and objective, and a reliable basis is provided for train planning and operation.

Description

Technical Field

[0001] The present invention relates to the technical field of train planning and operation, and in particular to a method and system for calculating the service spacing of cross-line trains in rail transit. Background Art

[0002] The distance between two adjacent stops of a train is the service spacing. The train service spacing in the interconnection mode is divided into the service spacing of the line and the cross-line service spacing. Passengers can travel directly to their destination without transferring to another line during the travel process, and can reach their destination in one line. However, the departure point may not belong to the same line as the destination and cannot be reached directly. The destination can be reached by transferring to another line at the transfer station. Such cross-line interconnection and transportation organization can reduce the travel time of cross-line passenger flow. The cross-line service spacing determines the time and actual travel distance of passenger transfer and cross-line travel. Under the premise that the passenger cross-line travel distance is determined, the cross-line train service spacing is related to the number and stop time of the train during the passenger's travel, which directly affects the travel time of the passenger's entire travel process. According to the passenger flow forecast results and the average passenger travel distance, by optimizing the cross-line service spacing, it can guide the determination of the cross-line train operation stop plan, reduce the passenger travel time and arrival connection time in the cross-line section, and improve the service quality of cross-line train operation, which has certain practical guiding significance for the operation of multi-network integrated cross-line trains.

[0003] However, the current method of determining the service spacing of cross-line trains is mainly based on passenger flow forecast results, stopping at stations with large passenger flow demand. The determination of service spacing is mainly based on empirical judgment and qualitative analysis, and the reliability of the results is insufficient.

[0004] Therefore, it is necessary to propose new measures to overcome the above-mentioned defects. Summary of the invention

[0005] The purpose of the present invention is to provide a method and system for calculating the service spacing of rail transit cross-line trains, so as to solve the problem that the results of determining the service spacing of cross-line trains by empirical judgment and qualitative analysis are unreliable.

[0006] In order to achieve the above object, the technical solution adopted by the present invention is:

[0007] A method for calculating the service spacing of rail transit cross-line trains, the method comprising:

[0008] Obtain the cross-line travel parameters and train operation parameters of passengers taking cross-line trains, and calculate the travel time of passengers in the cross-line section;

[0009] Set the travel distance of passengers from the station and calculate the time for passengers to arrive for connection;

[0010] With the goal of minimizing the sum of passengers' travel time and arrival connection time in cross-line sections, a model of the service spacing relationship of cross-line trains is constructed.

[0011] The cross-line train service spacing relationship model is regarded as the sum of the passenger travel time and arrival connection time in the cross-line section with respect to the cross-line train service spacing, and the calculation formula of the cross-line train service spacing is derived;

[0012] Constraints are set in the calculation formula, and parameter values ​​are selected to calculate the cross-line train service spacing.

[0013] Furthermore, the cross-line travel parameter is the travel distance of the cross-line section.

[0014] Furthermore, the train operation parameters include the maximum operating speed of the train in the cross-line section, the train stop time at a single station, the train start acceleration and the train braking deceleration.

[0015] Furthermore, the travel time of passengers in the cross-line section is calculated, including:

[0016]

[0017] in:

[0018] T k It is the travel time for passengers in cross-line sections;

[0019] d is the service spacing of cross-line trains;

[0020] L is the travel distance across the line section;

[0021] v is the maximum operating speed of the train in the cross-line section;

[0022] a 加 Start acceleration for the train;

[0023] a 减 is the train braking deceleration;

[0024] t s The train stop time at a single station.

[0025] Furthermore, the travel distance of passengers from the station is set, including:

[0026] Assume that the travel distance of passengers leaving the station is L1:

[0027]

[0028] in:

[0029] d is the service spacing of cross-line trains.

[0030] Furthermore, the passenger arrival connection time is calculated, including:

[0031]

[0032] in:

[0033] v 接 The connection speed of passengers leaving the station.

[0034] Furthermore, with the goal of minimizing the sum of passengers' travel time and arrival connection time in cross-line sections, a cross-line train service spacing relationship model is constructed, including:

[0035] The sum of the passenger travel time and arrival connection time in the cross-line section is:

[0036] T=T k +T1

[0037] Then MinT is:

[0038]

[0039] As a model of the service spacing relationship between cross-line trains.

[0040] Furthermore, the relationship model of the inter-line train service spacing is regarded as a function of the sum of the passenger travel time and the arrival connection time in the inter-line section with respect to the inter-line train service spacing, and the calculation formula of the inter-line train service spacing is derived, including:

[0041]

[0042] When D(T) / D(d)=0, the sum of the passenger travel time and arrival connection time in the cross-line section is the smallest, and the cross-line train service interval d is:

[0043]

[0044] Furthermore, the constraints include the travel distance of the cross-line section, the maximum operating speed of the train in the cross-line section, the connection speed of passengers during the departure process, the train stop time at a single station, the train start acceleration and the value range of the train braking deceleration.

[0045] On the other hand, a rail transit cross-line train service spacing calculation system is provided, and the system is used to implement the method described, including:

[0046] The first calculation module is used to obtain the cross-line travel parameters and train operation parameters of the passengers taking the cross-line train, and calculate the travel time of the passengers in the cross-line section;

[0047] The second calculation module is used to set the travel distance of the passenger from the station and calculate the passenger arrival connection time;

[0048] A model building module is used to build a model of the service spacing relationship of cross-line trains with the goal of minimizing the sum of the travel time and the arrival connection time of passengers in the cross-line section;

[0049] A derivation module is used to regard the cross-line train service spacing relationship model as a function of the sum of the passenger travel time and the arrival connection time in the cross-line section with respect to the cross-line train service spacing, and to obtain a calculation formula for the cross-line train service spacing by derivation;

[0050] The third calculation module is used to set constraints in the calculation formula, and to take parameter values ​​to calculate the service spacing of cross-line trains.

[0051] Compared with the prior art, the present invention has the following beneficial effects:

[0052] The present invention provides a method and system for calculating the service spacing of cross-line trains in rail transit. Based on the entire process of passenger cross-line travel, the method comprehensively considers the passenger travel distance, the maximum operating speed of the train, the stop time, and the acceleration and deceleration of the train, and establishes a cross-line train service spacing calculation model, thereby realizing the quantitative calculation of the cross-line train service spacing. The settlement result is accurate and objective, and a reliable basis is provided for train planning and operation. BRIEF DESCRIPTION OF THE DRAWINGS

[0053] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings required for use in the embodiments or the description of the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, drawings of other embodiments can be obtained based on these drawings without paying creative work.

[0054] Figure 1 It is a flow chart of the method of the present invention.

[0055] Figure 2 It is a schematic diagram of the entire passenger travel process.

[0056] Figure 3 It is a graph showing the relationship between service spacing and the average passenger travel distance.

[0057] Figure 4 It is a graph showing the relationship between service spacing and the maximum operating speed of the train.

[0058] Figure 5 It is a graph of the relationship between service spacing and the stop time at intermediate stations.

[0059] Figure 6 It is a graph of service spacing versus train acceleration. DETAILED DESCRIPTION

[0060] In order to facilitate the understanding of the present invention, the present invention will be described more fully below with reference to the relevant drawings. The preferred embodiments of the present invention are given in the drawings. However, the present invention can be implemented in many different forms and is not limited to the embodiments described herein. On the contrary, the purpose of providing these embodiments is to make the disclosure of the present invention more thoroughly understood.

[0061] It should be noted that the terms "comprises", "comprising", "includes", "comprises" and any variations thereof are intended to cover non-exclusive inclusions. For example, a process, method, system, product or apparatus comprising a series of steps or units is not necessarily limited to those steps or units explicitly listed, but may include other steps or units not explicitly listed or inherent to these processes, methods, products or apparatuses.

[0062] In addition, steps "S1", "S2" and the like involved in the embodiments are only for the convenience of describing the technical solutions and understanding the specific steps and contents of the embodiments, and should not be understood as limitations on the order of the steps. Any changes to the order of the steps should be within the scope of protection of the present invention.

[0063] Meanwhile, in the description of the present invention, the terms "first", "second", etc. are only used to distinguish the description and cannot be understood as indicating or implying relative importance. Of course, such objects can be interchanged where appropriate, so that the embodiments of the present application described herein can be implemented in an order other than that illustrated or described herein.

[0064] The service spacing is the distance between two adjacent train stops. The train service spacing in the interconnection mode is divided into the service spacing of the line and the cross-line service spacing. The present invention provides a method for calculating the service spacing of rail transit cross-line trains for the cross-line service spacing. The following assumptions are made before the implementation of the method:

[0065] A. The passenger's starting and ending points are on different lines, but they only need to cross the line once;

[0066] B. The running process of the train between stations is starting acceleration - running at a constant speed - braking deceleration;

[0067] C. Does not consider the impact of ticket prices on passengers’ travel.

[0068] Based on the above assumptions, a comparative analysis of the passenger transfer and cross-line travel process is conducted. Figure 2,As can be seen from the figure, the travel process of passengers transferring at the transfer station is divided into five stages: choosing a connecting transportation mode to arrive at the starting station, taking the train of the same line to arrive at the transfer station, transferring at the transfer station, taking the train of the same line of another line to arrive at the terminal station, and leaving the station to reach the destination. The travel process of passengers taking cross-line trains is mainly divided into three stages: choosing a connecting transportation mode to arrive at the starting station, taking the cross-line train to arrive at the terminal station, and leaving the station to reach the destination.

[0069] The advantage of cross-line interconnected transport organization is mainly reflected in reducing the travel time of cross-line passengers. Without considering the impact of cross-line train operation on the line, the total travel time is the shortest when the sum of the passenger travel time in the cross-line section and the terminal connection time is the shortest. Therefore, the cross-line train service interval is calculated with the goal of minimizing the sum of the passenger travel time in the cross-line section and the arrival connection time.

[0070] like Figure 1 , the method of the present invention specifically comprises the following steps:

[0071] S1: Obtain the cross-line travel parameters and train operation parameters of passengers taking cross-line trains, and calculate the travel time of passengers in the cross-line section.

[0072] In this step, the cross-line travel parameters are the travel distance of the cross-line section, and the train operation parameters include the maximum operating speed of the train in the cross-line section, the train stop time at a single station, the train start acceleration and the train braking deceleration.

[0073] Calculate the travel time of passengers in cross-line sections, including:

[0074]

[0075] This simplifies further to the final expression:

[0076]

[0077] in:

[0078] T k It is the travel time for passengers in cross-line sections;

[0079] d is the service spacing of cross-line trains;

[0080] L is the travel distance across the line section;

[0081] v is the maximum operating speed of the train in the cross-line section;

[0082] a 加 Start acceleration for the train;

[0083] a 减 is the train braking deceleration;

[0084] t s The train stop time at a single station.

[0085] S2: Set the travel distance of passengers from the station and calculate the arrival time of passengers for connection.

[0086] The time it takes for passengers to leave the station and reach their destination is collectively referred to as the passenger arrival transfer time. Passengers give priority to traveling by the nearest station, and there are transportation options such as walking, regular buses, and bicycles to meet the needs of passengers reaching the station. At the same time, the average arrival distance is related to the primary attraction range of the station. Referring to the value of urban rail transit, the average arrival distance is generally less than half of the average service spacing of rail transit lines.

[0087] The passenger's travel distance L1 from the station is recorded as:

[0088]

[0089] in:

[0090] d is the service spacing of cross-line trains.

[0091] Calculate passenger arrival connection times, including:

[0092]

[0093] in:

[0094] v 接 The connection speed of passengers leaving the station.

[0095] S3: With the goal of minimizing the sum of passengers' travel time and arrival connection time in cross-line sections, a cross-line train service spacing relationship model is constructed. Specifically:

[0096] According to the analysis of the time consumption of the whole process of passenger travel, the sum of the passenger travel time and arrival connection time in the cross-line section is:

[0097] T=T k +T1

[0098] Then MinT is:

[0099]

[0100] This is used as a model for the service spacing relationship of cross-line trains.

[0101] S4: The cross-line train service spacing relationship model is regarded as a function of the sum of the passenger travel time and arrival connection time in the cross-line section with respect to the cross-line train service spacing, and the calculation formula of the cross-line train service spacing is derived.

[0102] Derivative:

[0103]

[0104] According to the above formula, it is a function of the cross-line train service interval d that decreases first and then increases. When D(T) / D(d)=0, the sum of the passenger travel time and arrival connection time in the cross-line section is the smallest, so the cross-line train service interval d is:

[0105]

[0106] S5: Set constraints in the calculation formula, select parameter values, and calculate the service spacing of cross-line trains.

[0107] The above calculation formula intuitively reflects the relationship between the service spacing of cross-line trains and the travel distance of the cross-line section, the maximum operating speed of the train in the cross-line section, the connection speed during the passenger departure process, the train stop time at a single station, and the train start acceleration. Therefore, in this step, the constraints include the travel distance of the cross-line section, the maximum operating speed of the train in the cross-line section, the connection speed during the passenger departure process, the train stop time at a single station, the train start acceleration, and the value range of the train braking deceleration.

[0108] (1) Travel distance across the line section:

[0109] d≤L≤L 跨线

[0110] d is the service spacing of cross-line trains;

[0111] L 跨线 is the cross-line running distance.

[0112] When a regional train crosses the line on a trunk railway or intercity railway, the service spacing of the cross-line train should not be less than the station spacing of the cross-line line, nor should it exceed the cross-line running distance of the cross-line train. In order to prevent the regional cross-line train from disrupting the running rules of the train on the line and to ensure the safety and order of train operation, the regional train should not run too long on the trunk railway.

[0113] (2) Maximum operating speed of trains in cross-line sections:

[0114] v min ≤v≤v max

[0115] According to the design specifications, the operating speed of trunk railways is generally between 250km / h and 350km / h, the operating speed of intercity railways is generally between 120km / h and 200km / h, and the operating speed of urban railways is generally between 100km / h and 160km / h.

[0116] (3) Passenger transfer speed during departure:

[0117] The main ways to connect rail transit lines in the city are walking, bicycles, regular buses, etc., and in the suburbs there are passenger buses, public buses, private cars, etc. For the convenience of analysis, the passenger connection time is simplified and it is assumed that the main connection methods are walking, public transportation (buses, subways), taxis and private cars. The walking speed in the suburbs is 5.0km / h; the bus speed is 35km / h; the taxi and private car speed is 45km / h.

[0118] (4) Train stop time at a single station:

[0119] According to the operation of some of the opened rail transit systems, the stop time of existing and newly built urban railway trains at a station is generally 30 to 180 seconds; the stop time of intercity trains at a station is generally 60 to 240 seconds; and the stop time of trunk line trains at a station is generally 60 to 900 seconds.

[0120] (5) Train start acceleration and train braking deceleration:

[0121] According to the relevant provisions of the rail transit design specifications, the acceleration and deceleration performance parameters of the EMU can be obtained, taking 0.3m / s 2 ≤a 加 ≤0.45m / s 2 , 0.9m / s 2 ≤a 减 ≤1.0m / s 2 .

[0122] The service spacing of cross-line trains is related to the traveling distance of the cross-line section, the maximum operating speed of the train in the cross-line section, the connection speed of passengers leaving the station, the train stop time at a single station, and the train start-up acceleration. Taking the cross-line operation of urban trains on the trunk railway as an example, the relationship between the service spacing of cross-line trains and the above parameters can be further determined. Assuming that one of the parameters is a variable, the value of the other parameter is fixed.

[0123] (1) Inter-line train service interval and travel distance in inter-line sections:

[0124] The function of the service interval of cross-line trains with respect to the travel distance of the cross-line section is established, and the partial derivative of the travel distance of the cross-line section is obtained as follows:

[0125]

[0126] When the partial derivative is greater than 0, and other factors are fixed, the service interval of cross-line trains is positively correlated with the travel distance of the cross-line section, and increases with the increase of the travel distance of the cross-line section. 接 =35.5km / h; v =160km / h; a 加 =0.3m / s2 ; a 减 =0.9m / s 2 ;t s = 210s, then according to the above parameter values, the range of the cross-line section travel distance is 30 to 250 km, and the calculation results and the trend diagram of the cross-line train service interval, the cross-line section travel time and the total arrival connection time with the cross-line travel distance can be obtained ( Figure 3 ).

[0127] Calculation results of the service interval of cross-line trains and the travel distance of cross-line sections

[0128] L(km) 30 40 50 60 70 80 90 100 d(km) 13.52 15.61 17.45 19.11 20.65 22.07 23.41 24.68 T(h) 0.51 0.63 0.75 0.86 0.96 1.06 1.16 1.26 L(km) 110 120 130 140 150 160 170 180 d(km) 25.88 27.03 28.14 29.20 30.22 31.21 32.17 33.11 T(h) 1.36 1.45 1.55 1.64 1.73 1.82 1.91 2.00 L(km) 190 200 210 220 230 240 250 d(km) 34.01 34.90 35.76 36.60 37.42 38.23 39.02 T(h) 2.09 2.17 2.26 2.35 2.43 2.52 2.60

[0129] According to the above analysis, with other factors unchanged, the service interval of cross-line trains increases with the increase of the travel distance of the cross-line section, and the sum of the travel time and arrival connection time of the cross-line section increases with the increase of the cross-line travel distance.

[0130] (2) Cross-line train service interval and the maximum operating speed of trains in the cross-line section:

[0131] The function of the service interval of cross-line trains with respect to the maximum operating speed of the trains in the cross-line section is established, and the partial derivative of the maximum operating speed of the trains in the cross-line section is obtained as follows:

[0132]

[0133] The partial derivative is greater than 0. When other factors are fixed, the service interval of cross-line trains increases with the increase of the maximum operating speed of the trains in the cross-line section. Take L = 140km; v 接 =35.5km / h; a 加 =0.3m / s 2 ; a 减 =0.9m / s 2 ;t s = 210s, then according to the above parameter values, the maximum operating speed of the train in the cross-line section is in the range of 120 to 160 km / h, and the calculation results and the trend diagram of the cross-line train service interval, the cross-line section travel time and the total arrival connection time with the train running speed can be obtained ( Figure 3 ):

[0134] Calculation results of the service interval of cross-line trains and the maximum operating speed of trains in the cross-line section

[0135] v(km / h) 120 130 140 150 160 d(km) 28.01 28.31 28.61 28.90 29.20 T(h) 1.90 1.82 1.75 1.69 1.64

[0136] According to the above analysis, with other factors unchanged, the service interval of cross-line trains increases with the increase of the maximum operating speed of the train in the cross-line section, and the sum of the travel time and arrival connection time in the cross-line section decreases with the increase of the maximum operating speed of the train.

[0137] (3) Interval between cross-line train services and train stop times at a single station:

[0138] The function of the service interval of cross-line trains with respect to the stop time of trains at a single station is established, and the partial derivative of the stop time of trains at a single station is obtained as follows:

[0139]

[0140] The partial derivative is greater than 0. When other factors are fixed, the service interval of cross-line trains increases with the increase of the train stop time at a single station. 接 =35.5km / h; a 加 =0.3m / s 2 ; a 减 =0.9m / s 2 , then the train stop time t at a single station is determined according to the above parameter values s =60~360s, we can get the calculation results and the trend diagram of the total service interval of cross-line trains, the travel time of cross-line sections and the total arrival and connection time as the train stops at the intermediate station ( Figure 4 ):

[0141] Calculation results of the service interval of cross-line trains and the stop time of trains at a single station

[0142] <![CDATA[t s (s)]]> 60 80 100 120 140 160 180 200 d(km) 20.11 21.44 22.69 23.87 25.00 26.08 27.12 28.12 T(s) 1.55 1.58 1.61 1.64 1.67 1.69 1.71 1.74 <![CDATA[t s (s)]]> 220 240 260 280 300 320 340 360 d(km) 29.09 30.02 30.93 31.81 32.66 33.50 34.31 35.11 T(s) 1.76 1.78 1.80 1.82 1.84 1.85 1.87 1.89

[0143] According to the above analysis, with other factors unchanged, the service interval of cross-line trains increases with the increase of train stop time at a single station, and the sum of cross-line section travel time and arrival connection time increases with the increase of train stop time at intermediate stations.

[0144] (4) Cross-line train service interval and train start acceleration:

[0145] Establish the function of the cross-line train service interval with respect to the train start acceleration, and find the partial derivative of the train start acceleration:

[0146]

[0147] The partial derivative is less than 0. When other factors are fixed, the service interval of cross-line trains decreases as the train start acceleration increases. Take v = 160km / h; L = 140km; v 接 =35.5km / h; ts =210s; a 减 =0.9m / s 2 , then according to the above parameter values ​​​​determined 0.3m / s 2 ≤a 加 ≤0.45m / s 2 The range of change can be obtained, and the calculation results and the trend diagram of the service interval of cross-line trains, the travel time of cross-line sections and the sum of the arrival and connection time with the change of train acceleration can be obtained ( Figure 5 ).

[0148] Calculation results of cross-line train service interval and train start acceleration

[0149] <![CDATA[a 加 (m / s 2 )]]> 0.30 0.35 0.40 0.45 d(km) 29.33 28.81 28.42 28.11 T(s) 1.62 1.60 1.59 1.58

[0150] According to the above analysis, with other factors unchanged, the service interval of cross-line trains decreases with the increase of train start acceleration, and the sum of cross-line section travel time and arrival connection time decreases with the increase of train acceleration.

[0151] (5) Cross-line train service interval and train braking deceleration:

[0152] The function of the service interval of cross-line trains with respect to the train braking deceleration is established, and the partial derivative of the train braking deceleration is obtained as follows:

[0153]

[0154] The partial derivative is less than 0. When other factors are fixed, the service interval of cross-line trains decreases as the train braking deceleration increases. Take v = 160km / h; L = 140km; v 接 =35.5km / h; a 加 =0.3m / s 2 ;t s =210s, then according to the above parameter values, the value of 0.9m / s 2 ≤a 减 ≤1.0m / s 2 The range of change can be obtained, and the calculation results and the trend diagram of the service interval of cross-line trains, the travel time of cross-line sections and the sum of the arrival and connection time with the change of train deceleration can be obtained ( Figure 6 ).

[0155] Calculation results of cross-line train service interval and train braking deceleration

[0156] <![CDATA[a minus (m / s 2 )]]> 0.9 0.95 1 d(km) 29.20 29.14 29.08 T(s) 1.639 1.637 1.636

[0157] According to the above analysis, when other factors remain unchanged, the service interval of cross-line trains decreases with the increase of train braking deceleration, and the sum of travel time and arrival connection time in cross-line sections decreases with the increase of train deceleration.

[0158] After the parameters are set, the calculation results of the service intervals of cross-line trains in different modes are as follows: Reference range of service intervals of urban trains on existing railways

[0159]

[0160] Reference range of service spacing for urban trains in intercity railway operation

[0161]

[0162] Reference range of service spacing for intercity trains in urban rail operations

[0163]

[0164]

[0165] In addition, the present invention also provides a rail transit cross-line train service spacing calculation system, the system is used to implement the above method, including:

[0166] The first calculation module is used to obtain the cross-line travel parameters and train operation parameters of the passengers taking the cross-line train, and calculate the travel time of the passengers in the cross-line section, corresponding to S1 of the above method;

[0167] The second calculation module is used to set the travel distance of the passenger from the station and calculate the passenger arrival connection time, corresponding to S2 of the above method;

[0168] A model building module is used to build a cross-line train service spacing relationship model with the goal of minimizing the sum of passengers' travel time and arrival connection time in the cross-line section, corresponding to S3 of the above method;

[0169] A derivation module is used to regard the cross-line train service spacing relationship model as a function of the sum of the passenger travel time and the arrival connection time in the cross-line section with respect to the cross-line train service spacing, and to obtain a calculation formula for the cross-line train service spacing by derivation, which corresponds to S4 of the above method;

[0170] The third calculation module is used to set constraints in the calculation formula, and to take parameter values ​​to calculate the cross-line train service spacing, which corresponds to S5 of the above method.

[0171] Those skilled in the art will appreciate that all or part of the functions of the embodiments of the present invention may be implemented by hardware or by computer programs. When all or part of the functions in the above-mentioned embodiments are implemented by computer programs, the program may be stored in a computer-readable storage medium, and the storage medium may include: a read-only memory, a random access memory, a disk, an optical disk, a hard disk, etc., and the program is executed by a computer to implement the above-mentioned functions. For example, the program is stored in the memory of the device, and when the program in the memory is executed by the processor, all or part of the above-mentioned functions can be implemented. In addition, when all or part of the functions in the above-mentioned embodiments are implemented by computer programs, the program may also be stored in a storage medium such as a server, another computer, a disk, an optical disk, a flash disk or a mobile hard disk, and is downloaded or copied and saved in the memory of the local device, or the system of the local device is updated, and when the program in the memory is executed by the processor, all or part of the functions in the above-mentioned embodiments can be implemented.

[0172] The above specific examples are used to illustrate the present invention, which is only used to help understand the present invention and is not intended to limit the present invention. For those skilled in the art, according to the concept of the present invention, some simple deductions, modifications or substitutions can be made.

Claims

1. A method for calculating the service spacing of cross-line trains in rail transit, characterized in that: The method comprises: Obtain the cross-line travel parameters and train operation parameters of passengers taking cross-line trains, and calculate the travel time of passengers in the cross-line section; Set the travel distance of passengers from the station and calculate the time for passengers to arrive for connection; With the goal of minimizing the sum of passengers' travel time and arrival connection time in cross-line sections, a model of the service spacing relationship of cross-line trains is constructed. The cross-line train service spacing relationship model is regarded as the sum of the passenger travel time and arrival connection time in the cross-line section with respect to the cross-line train service spacing, and the calculation formula of the cross-line train service spacing is derived; Constraints are set in the calculation formula, and parameter values ​​are selected to calculate the cross-line train service spacing.

2. The method for calculating the service spacing of rail transit cross-line trains according to claim 1 is characterized in that: The cross-line travel parameter is the travel distance of the cross-line section.

3. The method for calculating the service spacing of rail transit cross-line trains according to claim 2 is characterized in that: Train operation parameters include the maximum operating speed of the train in the cross-line section, the train stop time at a single station, the train start acceleration and the train braking deceleration.

4. The method for calculating the service spacing of rail transit cross-line trains according to claim 3 is characterized in that: Calculate the travel time of passengers in cross-line sections, including: in: T k It is the travel time for passengers in cross-line sections; d is the service spacing of cross-line trains; L is the travel distance across the line section; v is the maximum operating speed of the train in the cross-line section; a 加 Start acceleration for the train; a 减 is the train braking deceleration; t s The train stop time at a single station.

5. The method for calculating the service spacing of rail transit cross-line trains according to claim 4 is characterized in that: Set the travel distance for passengers from the station, including: Assume that the travel distance of passengers leaving the station is L1: in: d is the service spacing of cross-line trains.

6. The method for calculating the service spacing of rail transit cross-line trains according to claim 5, characterized in that: Calculate passenger arrival connection times, including: in: v 接 The connection speed of passengers leaving the station.

7. The method for calculating the service spacing of rail transit cross-line trains according to claim 6, characterized in that: With the goal of minimizing the sum of passengers' travel time and arrival connection time in cross-line sections, a cross-line train service spacing relationship model is constructed, including: The sum of the passenger travel time and arrival connection time in the cross-line section is: T=T k +T1 Then MinT is: As a model of the service spacing relationship between cross-line trains.

8. The method for calculating the service spacing of rail transit cross-line trains according to claim 7, characterized in that: The cross-line train service spacing relationship model is regarded as the sum of the passenger travel time and arrival connection time in the cross-line section with respect to the cross-line train service spacing. The calculation formula of the cross-line train service spacing is derived, including: When D(T) / D(d)=0, the sum of the passenger travel time and arrival connection time in the cross-line section is the smallest, and the cross-line train service interval d is:

9. The method for calculating the service spacing of rail transit cross-line trains according to claim 8, characterized in that: The constraints include the travel distance of the cross-line section, the maximum operating speed of the train in the cross-line section, the connection speed of passengers leaving the station, the train stop time at a single station, the train start acceleration and the range of train braking deceleration.

10. A rail transit cross-line train service spacing calculation system, characterized in that: The system is used to implement the method according to claim 1, comprising: The first calculation module is used to obtain the cross-line travel parameters and train operation parameters of the passengers taking the cross-line train, and calculate the travel time of the passengers in the cross-line section; The second calculation module is used to set the travel distance of the passenger from the station and calculate the passenger arrival connection time; A model building module is used to build a model of the service spacing relationship of cross-line trains with the goal of minimizing the sum of the travel time and the arrival connection time of passengers in the cross-line section; A derivation module is used to regard the cross-line train service spacing relationship model as a function of the sum of the passenger travel time and the arrival connection time in the cross-line section with respect to the cross-line train service spacing, and to obtain a calculation formula for the cross-line train service spacing by derivation; The third calculation module is used to set constraints in the calculation formula, and to take parameter values ​​to calculate the service spacing of cross-line trains.

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