CN109711752A - A kind of subway transport capacity calculation method for different automobile types - Google Patents

A kind of subway transport capacity calculation method for different automobile types Download PDF

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CN109711752A
CN109711752A CN201910038960.XA CN201910038960A CN109711752A CN 109711752 A CN109711752 A CN 109711752A CN 201910038960 A CN201910038960 A CN 201910038960A CN 109711752 A CN109711752 A CN 109711752A
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jilie
train
fei
type
base column
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CN109711752B (en
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杨欣
吴建军
唐涛
尹浩东
屈云超
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Beijing Jiaotong University
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Abstract

The present invention is a kind of subway transport capacity calculation method for different automobile types, step 1 classifies the train run on section: when there are two kinds of vehicles for train, a specific vehicle and the train of marshalling is selected to arrange as b type base, using another vehicle or the train of marshalling as 1 type Fei Jilie;When train is there are more than two vehicle, a specific vehicle and the train of marshalling is selected to arrange as b type base, other vehicles or trains of other marshallings are used as to Fei Jilie group, Fei Jilie group includes t type Fei Jilie, and every kind of Fei Jilie corresponds to the train of a kind of vehicle or marshalling;Step 2 calculates train quantity proportion in corresponding traffic composition in Fei Jilie;Step 3 calculates the probability that different follow the bus situations occur in corresponding traffic composition;Step 4 calculates the average departure interval in corresponding traffic composition;Step 5 calculates the relative importance and impact factor of t type Fei Jilie approximation BTE, and step 6 calculates the base broomrape amount of Fei Jilie, and step 7 calculates subway transport ability.

Description

A kind of subway transport capacity calculation method for different automobile types
Technical field
The present invention relates to a kind of subway transport capacity calculation methods for different automobile types, and in particular to one kind is by fortune Defeated unit is standardized to acquire the calculation method of subway transport ability, belongs to urban track traffic operational management skill neck Domain.
Background technique
City underground has been obtained rapidly due to the advantages that its reliability is high, capacity is big, pollution is small in worldwide Development, plays main function in Traffic Systems.In recent years, demand of the passenger to subway quickly rises, and is badly in need of to it Carry out demand upgrading, accordingly, it is determined that the transport capacity for meeting tomorrow requirement upgrading is an important process.
At this stage, the transport capacity of subway is defined as the maximum train number run on track section within given time Amount, however this method cannot reflect the vehicle of train and the difference of marshalling, such as quasi- Type B and mark Type B, 6B type and 8B type all can Different influences is generated to the ability of transporting passengers, definition simple in this way by and actual conditions there are certain deviations, also not Managing and maintaining for subway can accurately be instructed.
Summary of the invention
In view of the deficiencies in the prior art, subway is calculated using the departure interval the purpose of the present invention is to provide a kind of The calculation method of transport capacity, specially one kind acquire subway transport ability by being standardized to delivery unit.It is described Method can obtain the subway transport ability for being more in line with reality.
To achieve the above objectives, the technical solution adopted by the present invention is that:
A kind of subway transport capacity calculation method for different automobile types, includes the following steps:
Step 1, the train run on Subway Tunnel is classified: when there are two kinds of vehicles for the train run on Subway Tunnel When type, a specific vehicle and the train of marshalling is selected to arrange as b type base, using another vehicle or the train of marshalling as 1 type Fei Jilie calculates Subway Tunnel transport capacity using Precise equation;When there are more than two vehicles for the train run on Subway Tunnel When, select a specific vehicle and the train of marshalling to arrange as b type base, using other vehicles or the train of other marshallings as non-base Column group, Fei Jilie group include t type Fei Jilie, and t >=1, every kind of Fei Jilie corresponds to the train of a kind of vehicle or marshalling, using approximation method Calculate Subway Tunnel transport capacity;
Step 2, the train quantity of the Fei Jilie proportion in corresponding traffic composition is calculated;
When train only exists two kinds of vehicles, it is denoted as M type traffic composition, indicates the train quantity of Fei Jilie in traffic with p Proportion in M is formed, calculation formula isWhereinWhen being that traffic group becomes M, the train number of Fei Jilie Amount,When being that traffic group becomes M, the train quantity of base column hasWherein CMWhen being that traffic group becomes M, base The sum of train quantity and the train quantity of Fei Jilie of column;
When train there are when more than two vehicle, be denoted as F type traffic composition, use ptWhen indicating that traffic group becomes F, t type is non- The train quantity proportion of base column, calculation formula areWhereinWhen being that traffic group becomes F, t type is non- The train quantity of base column;When being that traffic group becomes F, the train quantity of base column;HaveWherein CFIt is to hand over When logical group becomes F, the sum of train quantity and the train quantity of t type Fei Jilie of base column;
Simultaneously by the corresponding two kinds of vehicles of Ji Lie and a kind of Fei Jilie, it is denoted as FtType traffic composition, uses pt' indicate traffic group As FtWhen, train quantity proportion in a kind of Fei Jilie, calculation formula is
Step 3, the probability that different follow the bus situations occur in corresponding traffic composition is calculated;
When train only exists two kinds of vehicles, then there is four kinds of different follow the bus situations, respectively base column-Fei Jilie, base Column-base column, Fei Jilie-Fei Jilie, Fei Jilie-base column, are used respectivelyIndicate above-mentioned follow the bus feelings The probability that condition occurs in traffic composition M, calculation formula are respectively
When train is there are when more than two vehicle, there are k kind vehicle, k >=3, t=1,2 ..., k-1 at this time;Then there is k2 The different follow the bus situation of kind, respectively base column-t type Fei Jilie, base column-base column, t type Fei Jilie-t type Fei Jilie, t type are non- Base column-base column, are used respectivelyIndicate the probability that above-mentioned follow the bus situation occurs in traffic composition F, meter Calculating formula is respectively
Step 4, the average departure interval in corresponding traffic composition is calculated;
First according to the actual situation or Theoretical Design (infrastructure characteristic, traffic characteristics, operating parameter etc.) obtain it is each Departure interval in the case of kind follow the bus;
When train only there are two types of vehicle when,Departure interval when being base column-Fei Jilie,When being base column-base column Departure interval,Departure interval when being non-base column-Fei Jilie,Departure interval when being non-base column-base column, then traffic Group become M when the average departure interval be
When train is there are when more than two vehicle, use respectivelyIndicate base column-t type Fei Jilie, base Column-base column, t type Fei Jilie-t type Fei Jilie, t type Fei Jilie-base arrange this k2Between dispatching a car in the case of kind different follow the buses Every;Then traffic group become F when the average departure interval be
Step 5, the relative importance R of t type Fei Jilie approximation BTE is calculatedtWith impact factor k,
Relative importance RtCalculation formula are as follows:
The calculation formula of impact factor k are as follows:
Step 6, the base broomrape amount of Fei Jilie is calculated
When train only exists two kinds of vehicles, the base broomrape amount of 1 type Fei Jilie derives as follows:
WhereinFor the practical subway regional train ability comprising two kinds of vehicles, CB For the theoretical subway regional train ability comprising two kinds of vehicles, E is the base broomrape numerical quantity of 1 type Fei Jilie, using Precise equation into Row calculates, separately
It willWithIt substitutes into
Abbreviation can obtain:
When train is there are when more than two vehicle, the base broomrape amount calculation formula of t type Fei Jilie is as follows:
Et=RtK, wherein EtFor the numerical value of the base broomrape amount of t type Fei Jilie,
Step 7, Subway Tunnel transport capacity is calculated
When train only exists two kinds of vehicles,WhereinFor the practical subway comprising two kinds of vehicles Regional train ability,
When train is there are when more than two vehicle,Wherein CB'Comprising more than The theoretical subway regional train ability of two kinds of vehicles,For the practical subway regional train ability comprising more than two vehicle.
The present invention provides it is a kind of calculate subway transport ability calculation method, by delivery unit be standardized come Acquire subway transport ability.The method has the advantage that (1) can obtain the subway transport energy for being more in line with reality Power;(2) model is simple, should be readily appreciated that and calculates, application is stronger;(3) BTE first can be pre-generated based on possible scene, And be stored in BTE database, to more fast and accurately calculate physical transport capacity, determine the bottleneck of system, Convenient for demand upgrading;(4) if the base column of different Systematic selections are identical, it can compare and assess the fortune of different routes or system Movement Capabilities.
Detailed description of the invention
The present invention has following attached drawing:
Flow chart Fig. 1 of the invention.
Specific embodiment
Below in conjunction with attached drawing 1, invention is further described in detail.
The present invention provides a kind of calculation methods for calculating subway transport ability, it is established that mathematical model.
The subway that I: one 13 kilometers of route includes 6 sections of tracks, 5 websites, mainly runs quasi- 6B and mark two kinds of trains of 6B, It selects quasi- 6B to arrange as base at this time, is expressed as b type, mark 6B is 1 type Fei Jilie;The route that II: one 20 kilometers of route includes 10 A website, 11 sections of rail sections are main to run two kinds of trains of 6B type and 8B type, select 6B type to arrange as base at this time, are expressed as b type, 8B As 1 type Fei Jilie;The route that III: one 20 kilometers of route, includes 10 websites, and 11 sections of rail sections mainly run quasi- 6B type, mark Three kinds of 6B type, 8B type trains select quasi- 6B type to arrange as base at this time, are expressed as b type, and mark 6B is that 1 type Fei Jilie, 8B is that 2 types are non- Base column.
The operation informations such as the departure interval to route I, II, III count, and obtain Tables 1 and 2,
The train operation situation of table 1 route I and route II
The train operation situation of 2 route III of table
Step 1 and step 2 are completed at this time.
Step 3, the probability that different follow the bus situations occur in corresponding traffic composition is calculated
Different follow the bus situations are calculated in overall traffic composition according to the accounting situation of variety classes train on every route The probability of appearance.The train quantity information of route I, II is calculated, table 3 is obtained,
The probability that different follow the bus situations occur in traffic composition M in 3 route I of table and route II
The train quantity information of route III is calculated, table 4 is obtained,
The probability that different follow the bus situations occur in traffic composition F in 4 route III of table
Step 4, the average departure interval for calculating traffic group when becoming MTraffic group becomes average departure interval when F
Route I:
Route II:
Route III:
Step 5, the relative importance R of t type Fei Jilie approximation BTE is calculatedtAnd k;
Step 6, non-base broomrape amount E is calculated;
Route I:
Route II:
Route III: E1=R1K=0.939 × 1.03=0.967
E2=R1K=0.946 × 1.03=0.974
Step 7, Subway Tunnel physical transport capacity and theoretical maximum transport capacity are calculated;Route I: theoretical maximum transports energy Power:
Physical transport capacity:
Route II: theoretical maximum transport capacity:
Physical transport capacity:
Route III: theoretical maximum transport capacity:
Physical transport capacity:
It can be seen that this three-line can be carried out the upgrading of transport capacity, and the transport energy of route II at this time Power is greater than the transport capacity of route I, III.
It is time-consuming for calculating specific BTE, therefore first can pre-generate BTE based on possible scene, and stored In BTE database, all trains can be converted to base column in this way, to more fast and accurately calculate actual shipment energy Power determines the bottleneck of system, upgrades convenient for demand.And if the base column of different Systematic selections are identical, it can compare and comment Estimate the transport capacity of different routes or system.
These are only the preferred embodiment of the present invention, is not intended to restrict the invention, for those skilled in the art For member, the invention may be variously modified and varied.All within the spirits and principles of the present invention, it is made it is any modification, Equivalent replacement, improvement etc., should all be included in the protection scope of the present invention.
The content being not described in detail in this specification belongs to the prior art well known to professional and technical personnel in the field.

Claims (1)

1. a kind of subway transport capacity calculation method for different automobile types, which comprises the steps of:
Step 1, the train run on Subway Tunnel is classified: when there are two kinds of vehicles for the train run on Subway Tunnel When, select a specific vehicle and the train of marshalling to arrange as b type base, another vehicle or the train of marshalling is non-as 1 type Base column calculate Subway Tunnel transport capacity using Precise equation;When the train run on Subway Tunnel is there are when more than two vehicle, A specific vehicle and the train of marshalling is selected to arrange as b type base, using other vehicles or the train of other marshallings as Fei Jilie Group, Fei Jilie group include t type Fei Jilie, and t >=1, every kind of Fei Jilie corresponds to the train of a kind of vehicle or marshalling, using approximation method meter Calculate Subway Tunnel transport capacity;
Step 2, the train quantity of the Fei Jilie proportion in corresponding traffic composition is calculated;
When train only exists two kinds of vehicles, it is denoted as M type traffic composition, indicates that the train quantity of Fei Jilie forms M in traffic with p Middle proportion, calculation formula areWhereinWhen being that traffic group becomes M, the train quantity of Fei Jilie,When being that traffic group becomes M, the train quantity of base column hasWherein CMWhen being that traffic group becomes M, base column Train quantity and the sum of the train quantity of Fei Jilie;
When train there are when more than two vehicle, be denoted as F type traffic composition, use ptWhen indicating that traffic group becomes F, t type Fei Jilie's Train quantity proportion, calculation formula areWhereinWhen being that traffic group becomes F, t type Fei Jilie's Train quantity;When being that traffic group becomes F, the train quantity of base column;HaveWherein CFIt is traffic composition When for F, the sum of train quantity and the train quantity of t type Fei Jilie of base column;
Simultaneously by the corresponding two kinds of vehicles of Ji Lie and a kind of Fei Jilie, it is denoted as FtType traffic composition, uses pt' indicate that traffic group becomes FtWhen, train quantity proportion in a kind of Fei Jilie, calculation formula is
Step 3, the probability that different follow the bus situations occur in corresponding traffic composition is calculated;
When train only exists two kinds of vehicles, then there is four kinds of different follow the bus situations, respectively base column-Fei Jilie, base column- Base column, Fei Jilie-Fei Jilie, Fei Jilie-base column, are used respectivelyIndicate that above-mentioned follow the bus situation exists The probability occurred in traffic composition M, calculation formula are respectively
When train is there are when more than two vehicle, there are k kind vehicle, k >=3, t=1,2 ..., k-1 at this time;Then there is k2Kind is different Follow the bus situation, respectively base column-t type Fei Jilie, base column-base column, t type Fei Jilie-t type Fei Jilie, t type Fei Jilie- Base column, are used respectivelyIndicate the probability that above-mentioned follow the bus situation occurs in traffic composition F, calculation formula Respectively
Step 4, the average departure interval in corresponding traffic composition is calculated;
First according to the actual situation or Theoretical Design obtains the departure interval in the case of each follow the bus;
When train only there are two types of vehicle when,Departure interval when being base column-Fei Jilie,Dispatching a car when being base column-base column Interval,Departure interval when being non-base column-Fei Jilie,Departure interval when being non-base column-base column, then traffic forms Average departure interval when for M is
When train is there are when more than two vehicle, use respectivelyIndicate base column-t type Fei Jilie, base column-base Column, t type Fei Jilie-t type Fei Jilie, t type Fei Jilie-base arrange this k2Departure interval in the case of the different follow the bus of kind;Then hand over Average departure interval when logical group becomes F is
Step 5, the relative importance R of t type Fei Jilie approximation BTE is calculatedtWith impact factor k,
Relative importance RtCalculation formula are as follows:
The calculation formula of impact factor k are as follows:
Step 6, the base broomrape amount of Fei Jilie is calculated
When train only exists two kinds of vehicles, the base broomrape amount of 1 type Fei Jilie derives as follows:
WhereinFor the practical subway regional train ability comprising two kinds of vehicles, CBFor packet Theoretical subway regional train ability containing two kinds of vehicles, E are the base broomrape numerical quantity of 1 type Fei Jilie, are counted using Precise equation It calculates, separately
It willWithIt substitutes into
Abbreviation can obtain:
When train is there are when more than two vehicle, the base broomrape amount calculation formula of t type Fei Jilie is as follows:
Et=RtK, wherein EtFor the numerical value of the base broomrape amount of t type Fei Jilie,
Step 7, Subway Tunnel transport capacity is calculated
When train only exists two kinds of vehicles,WhereinFor the practical Subway Tunnel comprising two kinds of vehicles Transport capacity,
When train is there are when more than two vehicle,Wherein CB' it include more than two The theoretical subway regional train ability of vehicle,For the practical subway regional train ability comprising more than two vehicle.
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