CN106709609B - A Method of Forecasting and Controlling the Incoming Quantity of Subway Stations - Google Patents
A Method of Forecasting and Controlling the Incoming Quantity of Subway Stations Download PDFInfo
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Abstract
本发明公开一种预测控制地铁进站量的方法,该包括以下步骤:构造车站进站量与区间断面流量间的线性函数式;基于车站进站量和区间断面流量的历史数据值进行线性拟合,确定待估参数;基于给定区间的断面流量,计算对应车站的目标进站量;基于目标进站量确定客流控制策略。本发明运用于城市轨道交通客流组织管理,通过预测控制来限制地铁车站进站量,控制地铁区间满载率,缓解客流拥堵现象,从而避免大客流对线路或线网造成过大压力。进一步地,通过对区间断面客流量的分级,指导地铁车站在实际运营管理中,根据情况在不同时段对进站量采取分级控制措施,使进站量控制更加合理。
The invention discloses a method for predicting and controlling the amount of subway entering a station, which includes the following steps: constructing a linear function formula between the amount of entering a station and the flow rate of a section section; The parameters to be estimated are determined; based on the section flow of a given interval, the target inbound volume of the corresponding station is calculated; the passenger flow control strategy is determined based on the target inbound volume. The invention is applied to the organization and management of passenger flow in urban rail transit, limits the amount of incoming subway stations through predictive control, controls the full load rate of subway sections, and alleviates passenger flow congestion, thereby avoiding excessive pressure on lines or network caused by large passenger flow. Furthermore, through the grading of the passenger flow in the section section, the subway station is guided to adopt hierarchical control measures for the inbound volume in different periods according to the situation in the actual operation and management, so as to make the inbound volume control more reasonable.
Description
技术领域technical field
本发明涉及城市轨道交通技术领域。更具体地,涉及一种预测控制地铁车站进站量的方法。The invention relates to the technical field of urban rail transit. More specifically, it relates to a method for predicting and controlling the incoming volume of a subway station.
背景技术Background technique
随着经济社会的快速发展,国内多个城市已建成或计划建设城市轨道交通,以解决城市化进程中日益拥堵的交通问题。然而,随着客流的逐步增多,城市轨道交通车站的客流控制也愈发困难,城市轨道交通快速增长的客流需求与运输能力之间的矛盾日益突出,缓解拥挤问题的可行办法是从客流控制角度对需求进行管理。客流控制也称限流,是指为保障客运组织安全需要而采取的限制乘客进站速度的安全措施,以达到减少单位时间内进站客流的目的。车站限流主要包括常态性限流和临时性限流:常态性限流指在一定时期内特定时段采用相同的限流措施,主要应用于早晚高峰时段;临时性限流指对车站进行短时不确定限流,主要受突发事件、大型活动及恶劣天气原因而形成突发大客流的影响。With the rapid development of economy and society, many domestic cities have built or plan to build urban rail transit to solve the increasingly congested traffic problems in the process of urbanization. However, with the gradual increase of passenger flow, the passenger flow control of urban rail transit stations is becoming more and more difficult. The contradiction between the rapidly growing passenger flow demand and transportation capacity of urban rail transit is becoming more and more prominent. The feasible way to alleviate the congestion problem is from the perspective of passenger flow control. Manage requirements. Passenger flow control, also known as flow limitation, refers to the safety measures taken to limit the speed of passengers entering the station to ensure the safety needs of passenger transport organizations, so as to achieve the purpose of reducing the flow of passengers entering the station within a unit time. Station current restriction mainly includes normal current restriction and temporary current restriction: normal current restriction refers to adopting the same current restriction measure at a specific time within a certain period of time, which is mainly used in morning and evening peak hours; temporary current restriction refers to short-term current restriction on stations Uncertain flow limit, mainly affected by unexpected events, large-scale activities and bad weather.
目前,在实际运营管理中,对于限流车站选取、限流时段确定以及限流强度确定等尚缺乏恰当的理论依据和计算方法,主要依靠管理者经验。关于上述问题的理论研究主要有:在控制措施方面,刘莲花等首次提出客流控制应从车站级、线路级、网络级三层控制模式予以实施,分析了各层控制模式的适用条件及处置措施原则;赵鹏等利用线性规划方法从线路层面构建了车站客流协同控制模型,并以北京市轨道交通5号线为例进行了模型验证;刘晓华等构建了车站间的联合控制策略,通过降低上游车站的客流进站速度为本站预留列车输送能力,来平衡列车在线路上的能力;张正等根据流量平衡原理构建了客流在车站单点、线路上的协同限流方法;田栩静等提出事先预测、系统联合、加强沟通、分级负责的应对突发大客流事件原则,重点设计了大客流情况下的行车组织和车站客流控制方式,提出了自组织与他组织的大客流安全控制措施;李建琳以上海市轨道交通6号线和8号线为背景,对早高峰时段需求与运力的矛盾进行分析,对限流措施提出改进建议,并分析了不同控流措施的运营效果。At present, in the actual operation and management, there is still a lack of appropriate theoretical basis and calculation methods for the selection of current-limiting stations, the determination of current-limiting time periods, and the determination of current-limiting intensity, which mainly rely on the experience of managers. Theoretical studies on the above problems mainly include: In terms of control measures, Liu Lianhua et al. first proposed that passenger flow control should be implemented from three levels of control modes: station level, line level, and network level, and analyzed the applicable conditions and principles of disposal measures for each level of control mode ; Zhao Peng et al. used the linear programming method to build a station passenger flow collaborative control model from the line level, and took Beijing Rail Transit Line 5 as an example to verify the model; Liu Xiaohua et al. constructed a joint control strategy between stations, by reducing the upstream station The speed of passenger flow entering the station is to reserve the train transportation capacity for this station to balance the capacity of trains on the line; Zhang Zheng et al. constructed a coordinated current limiting method for passenger flow at a single point of the station and on the line according to the principle of flow balance; Tian Xujing et al. proposed The principles of prior prediction, system integration, enhanced communication, and hierarchical responsibility to deal with sudden large passenger flow incidents, focused on the design of traffic organization and station passenger flow control methods under the situation of large passenger flow, and proposed self-organized and other-organized large passenger flow safety control measures; Taking Shanghai Rail Transit Line 6 and Line 8 as the background, Li Jianlin analyzed the contradiction between demand and transport capacity during morning peak hours, put forward suggestions for improvement on flow limiting measures, and analyzed the operational effects of different flow control measures.
现有专利文献中公开号为CN103661501A中公开了一种基于多点客流检测信息反馈的车站自动限流方法,包括步骤:实时检测计算站厅乘客数量和站台乘客数量,并分析站台乘客量的增加趋势;计算站厅可容纳乘客剩余量和站台可容纳乘客剩余量;根据所述站厅可容纳乘客剩余量实时调节进出站厅乘客数;根据所述站台可容纳乘客剩余量调节站台的乘客数;根据所述站台进出乘客数量调节所导致的站厅乘客数量增加,进一步调节进出站厅乘客数,以达到限流的目的。该技术方案属于事后调节,即在车站发生客流拥挤时或之后再采取措施,限流效果欠佳,并且该方案为局部调控策略,其缺点主要在于只能够缓解某些车站的拥挤状态,而不能达到统筹实施线网整体限流措施的目的。The publication number in the existing patent literature is CN103661501A, which discloses an automatic flow limiting method based on multi-point passenger flow detection information feedback, including the steps of: real-time detection and calculation of the number of passengers in the station hall and the number of passengers on the platform, and analyzing the increase in the number of passengers on the platform Trend; calculate the remaining number of passengers that can be accommodated in the station hall and the remaining amount of passengers that can be accommodated on the platform; adjust the number of passengers entering and leaving the station hall in real time according to the remaining amount of passengers that can be accommodated in the station hall; adjust the number of passengers on the platform according to the remaining amount of passengers that can be accommodated in the platform ; According to the increase in the number of passengers in the station hall caused by the adjustment of the number of passengers entering and leaving the platform, further adjust the number of passengers entering and leaving the station hall to achieve the purpose of limiting the flow. This technical solution belongs to post-regulation, that is, measures are taken when or after passenger flow congestion occurs at the station, and the flow limiting effect is not good, and this solution is a local control strategy, and its shortcoming is mainly that it can only alleviate the congestion state of some stations, but not To achieve the purpose of coordinating and implementing the overall current limiting measures of the line network.
因此,需要提供一种预测控制地铁车站进站量的方法。Therefore, it is necessary to provide a method for predicting and controlling the amount of incoming subway stations.
发明内容Contents of the invention
为了克服现有技术的不足,本发明提出一种预测控制地铁车站进站量的方法。该方法运用于城市轨道交通客流组织管理,主要目的是通过预测控制来限制地铁车站进站量,控制地铁区间满载率,缓解客流拥堵现象,从而避免大客流对线路或线网造成过大压力。In order to overcome the deficiencies of the prior art, the present invention proposes a method for predicting and controlling the amount of incoming subway stations. This method is applied to the organization and management of passenger flow in urban rail transit. The main purpose is to limit the amount of incoming subway stations through predictive control, control the full load rate of subway sections, and alleviate passenger flow congestion, thereby avoiding excessive pressure on lines or network caused by large passenger flow.
为达到上述目的,本发明采用下述技术方案:To achieve the above object, the present invention adopts the following technical solutions:
一种预测控制地铁进站量的方法,该方法包括以下步骤:A method for predicting and controlling the amount of subway entering a station, the method comprising the following steps:
S1:根据地铁线网中车站进站客流量与区间断面流量间的关系分析,构造地铁线网中车站进站量与区间断面流量间的线性函数式:S1: According to the analysis of the relationship between the station inbound passenger flow and the section flow in the subway network, the linear function formula between the station inbound volume and the section section flow in the subway network is constructed:
其中,in,
xi为第i个车站的总进站量,i=1,2,…,n;x i is the total inbound volume of the i-th station, i=1,2,...,n;
yj为第j个区间上的断面总流量,j=1,2,…,m;y j is the total flow rate of the section on the jth interval, j=1,2,...,m;
αji为从第i个车站进站并通过第j个区间断面的客流量占第i个车站总进站量的比例;α ji is the ratio of the passenger flow entering from the i-th station and passing through the j-th section to the total inbound volume of the i-th station;
βij为第j个区间断面客流量中从第i个车站进站的客流量占第j个区间断面总客流量的比例;β ij is the ratio of the passenger flow from the i-th station to the total passenger flow of the j-th section in the passenger flow of the j-th section;
Δtji为客流从第i个车站到达第j个区间所需的时间,考虑到城市轨道交通的准时性,可认为对于确定的i和j,Δtji为一个定值常量;Δt ji is the time required for the passenger flow to reach the j-th section from the i-th station. Considering the punctuality of urban rail transit, it can be considered that for the determined i and j, Δt ji is a fixed value constant;
xi(t-Δtji)为第(t-Δtji)个时段内的第i个车站的总进站量;x i (t-Δt ji ) is the total inbound volume of the i-th station in the (t-Δt ji )th time period;
yj(t)为第t个时段内的第j个区间上的断面总流量;y j (t) is the total flow of the section on the jth interval in the tth period;
m、n为自然数,n为车站总数,m为区间总数。m and n are natural numbers, n is the total number of stations, and m is the total number of intervals.
S2:基于车站进站量和区间断面流量的历史数据值进行线性拟合,确定待估参数;S2: Carry out linear fitting based on the historical data values of station inbound volume and section flow, and determine the parameters to be estimated;
S3:基于给定区间的断面流量,计算对应车站的目标进站量;S3: Based on the cross-sectional flow in a given interval, calculate the target inbound volume of the corresponding station;
S4:基于目标进站量确定客流控制策略。S4: Determine the passenger flow control strategy based on the target inbound volume.
优选地,步骤S2中,具体包括以下步骤:Preferably, in step S2, the following steps are specifically included:
S21:确定第j个区间存在如下关系式S21: Determine that the jth interval has the following relationship
yj(t)=αj1x1(t-Δtj1)+αj2x2(t-Δtj2)+αj3x3(t-Δtj3)+...+αjnxn(t-Δtjn);y j (t)=α j1 x 1 (t-Δt j1 )+α j2 x 2 (t-Δt j2 )+α j3 x 3 (t-Δt j3 )+...+α jn x n (t- Δt jn );
S22:从历史数据中选取一天中t时间段内第j个区间上断面总流量yj(t)以及n个车站的进站量x1、x2、x3…xn做为一组输入数据;S22: From the historical data, select the total flow y j (t) of the upper section of the j-th interval in the time period t of the day and the inbound volume x 1 , x 2 , x 3 ... x n of n stations as a set of inputs data;
S23:如步骤S22中,从历史数据中选取不同天的多组输入数据;S23: As in step S22, multiple sets of input data of different days are selected from historical data;
S24:将多组输入数据代入步骤S21中关系式,确定待估参数αj1、αj2、αj3…αjn,其中j依次取值为1,2,…,m;S24: Substituting multiple sets of input data into the relational expression in step S21 to determine the parameters to be estimated α j1 , α j2 , α j3 ... α jn , where j takes the values 1, 2, ..., m in turn;
S25:确定第i个车站存在如下关系式S25: Determine that the i-th station has the following relationship
xi(t-Δtji)=βi1y1(t)+βi2y2(t)+βi3y3(t)+...+βinyn(t);x i (t-Δt ji )=β i1 y 1 (t)+β i2 y 2 (t)+β i3 y 3 (t)+...+β in y n (t);
S26:从历史数据中选取一天中t时间段内第i个车站的总进站量yj(t)以及m个区间上断面总流量y1、y2、y3…yn做为一组输入数据;S26: From the historical data, select the total inbound volume y j (t) of the i-th station in the t time period of the day and the total flow y 1 , y 2 , y 3 ... y n of the upper sections of the m intervals as a group Input data;
S27:如步骤S26中,从历史数据中选取不同天的多组输入数据;S27: As in step S26, multiple sets of input data of different days are selected from historical data;
S28:将多组输入数据代入步骤S25中关系式,确定待估参数βi1、βi2、βi3…βmj,其中i依次取值为1,2,…,n。S28: Substituting multiple sets of input data into the relational formula in step S25 to determine the parameters to be estimated β i1 , β i2 , β i3 ... β mj , where i takes values 1, 2, ..., n in turn.
优选地,步骤S3中,具体包括以下步骤:Preferably, step S3 specifically includes the following steps:
S31:基于第i个车站进站并通过第j个区间的客流量与第j个区间断面客流中来自第i个车站进站的客流量相等,得到以下等式:S31: Based on the fact that the passenger flow of the i-th station entering the station and passing through the j-th section is equal to the passenger flow of the i-th station entering the station in the section passenger flow of the j-th section, the following equation is obtained:
αjixi(t-Δtji)=βijyj(t);α ji x i (t-Δt ji ) = β ij y j (t);
S32:基于区间断面最大满载率确定第j个区间的最大断面流量yj(t);S32: Determine the maximum cross-sectional flow y j (t) of the j-th interval based on the maximum full load rate of the interval section;
S33:令i=1,j依次取值为1,2,…,m,得到第(t-Δtj1)个时段内的第1个车站的m个进站量x1(t-Δt11)、x1(t-Δt21)、x1(t-Δt31)、…、x1(t-Δtm1);S33: Let i=1, j take the value of 1, 2, ..., m in sequence, and obtain the m incoming quantities x 1 (t-Δt 11 ) of the first station in the (t-Δt j1 )th time period , x 1 (t-Δt 21 ), x 1 (t-Δt 31 ), ..., x 1 (t-Δt m1 );
S34:选取上述m个进站量x1(t-Δt11)、x1(t-Δt21)、x1(t-Δt31)、…、x1(t-Δtm1)中的最小值min x1(t-Δtj1)作为第1个车站在第(t-Δtj1)个时段内进站量的控制值;S34: Select the minimum value among the above m inbound quantities x 1 (t-Δt 11 ), x 1 (t-Δt 21 ), x 1 (t-Δt 31 ), ..., x 1 (t-Δt m1 ) min x 1 (t-Δt j1 ) is used as the control value of the inbound volume of the first station in the (t-Δt j1 ) period;
S35:令i依次取值为2,…,n,重复上述步骤,得到每个车站在第(t-Δtj1)个时段内进站量的控制值,即为对应车站的目标进站量。S35: Let i take the value of 2,...,n in turn, repeat the above steps, and obtain the control value of the inbound volume of each station in the (t-Δt j1 )th time period, which is the target inbound volume of the corresponding station.
待估参数值随历史数据库的增大而准确度增加。The accuracy of the parameter values to be estimated increases with the increase of the historical database.
进一步优选地,区间断面最大满载率为140%。Further preferably, the maximum full load rate of the section section is 140%.
优选地,步骤S4中,由于回归参数αji、βij的确定采用了大量的历史数据,因此根据上述计算,基于目标进站量确定客流控制策略包括:Preferably, in step S4, since a large amount of historical data is used to determine the regression parameters α ji and β ij , according to the above calculation, determining the passenger flow control strategy based on the target inbound volume includes:
预测估计出各车站未来每日需要进行限流的时间段及相应的客流量控制值,给出车站限流预测建议;和/或Forecast and estimate the time period and corresponding passenger flow control value of each station that needs to be limited in the future, and give suggestions for forecasting traffic limit at the station; and/or
通过对比车站当前时段进站量与目标进站量,决定车站当前是否需要进行限流并实行控制进站量的措施。By comparing the inbound volume of the station in the current period with the target inbound volume, it is determined whether the station currently needs to limit the flow and implement measures to control the inbound volume.
优选地,客流控制策略还包括车站限流措施的分级控制。Preferably, the passenger flow control strategy also includes hierarchical control of station flow restriction measures.
优选地,不同的区间设定不同级别的满载率,计算得到与不同级别满载率相对应的限流的时间段和客流量控制值,实现车站限流措施的分级控制。Preferably, different levels of full-load ratios are set for different sections, and the flow-limiting time periods and passenger flow control values corresponding to different levels of full-load ratios are calculated to realize hierarchical control of station flow-limiting measures.
进一步优选地,不同级别的满载率包括三个级别,分别为120%、130%和140%。Further preferably, the different levels of full load ratios include three levels, which are 120%, 130% and 140% respectively.
本发明的有益效果如下:The beneficial effects of the present invention are as follows:
本发明的一种预测控制地铁车站进站量的方法,运用于城市轨道交通客流组织管理,通过预测控制来限制地铁车站进站量,控制地铁区间满载率,缓解客流拥堵现象,从而避免大客流对线路或线网造成过大压力。进一步地,通过对区间断面客流量的分级,指导地铁车站在实际运营管理中,根据情况在不同时段对进站量采取分级控制措施,使进站量控制更加合理。A method for predicting and controlling the amount of incoming subway stations in the present invention is applied to the organization and management of passenger flow in urban rail transit, through predictive control to limit the amount of incoming subway stations, to control the full load rate of subway sections, and to alleviate passenger flow congestion, thereby avoiding large passenger flow Excessive stress on wiring or wire mesh. Furthermore, through the grading of the passenger flow in the section section, the subway station is guided to adopt hierarchical control measures for the inbound volume in different periods according to the situation in the actual operation and management, so as to make the inbound volume control more reasonable.
附图说明Description of drawings
下面结合附图对本发明的具体实施方式作进一步详细的说明。The specific implementation manners of the present invention will be further described in detail below in conjunction with the accompanying drawings.
图1示出预测控制地铁进站量的方法步骤图。FIG. 1 shows a step diagram of a method for predicting and controlling the amount of subway entering a station.
图2示出预测控制地铁进站量的方法流程图。Fig. 2 shows a flow chart of a method for predicting and controlling the amount of subway entering a station.
图3示出实施例1中车站与区间关系示意图。Fig. 3 shows a schematic diagram of the relationship between stations and sections in Embodiment 1.
具体实施方式Detailed ways
为了更清楚地说明本发明,下面结合优选实施例和附图对本发明做进一步的说明。附图中相似的部件以相同的附图标记进行表示。本领域技术人员应当理解,下面所具体描述的内容是说明性的而非限制性的,不应以此限制本发明的保护范围。In order to illustrate the present invention more clearly, the present invention will be further described below in conjunction with preferred embodiments and accompanying drawings. Similar parts in the figures are denoted by the same reference numerals. Those skilled in the art should understand that the content specifically described below is illustrative rather than restrictive, and should not limit the protection scope of the present invention.
如图1所示,一种预测控制地铁进站量的方法,该方法包括以下步骤:As shown in Figure 1, a method for predicting and controlling the amount of subway entering a station, the method includes the following steps:
S1:根据地铁线网中车站进站客流量与区间断面流量间的关系分析,构造地铁线网中车站进站量与区间断面流量间的线性函数式;S1: According to the analysis of the relationship between the station inbound passenger flow and section section flow in the subway line network, construct the linear function formula between the station entry volume and section section flow in the subway line network;
S2:基于车站进站量和区间断面流量的历史数据值进行线性拟合,确定待估参数;S2: Carry out linear fitting based on the historical data values of station inbound volume and section flow, and determine the parameters to be estimated;
S3:基于给定区间的断面流量,计算对应车站的目标进站量;S3: Based on the cross-sectional flow in a given interval, calculate the target inbound volume of the corresponding station;
S4:基于目标进站量确定客流控制策略。S4: Determine the passenger flow control strategy based on the target inbound volume.
如图2所示,具体方法步骤如下:As shown in Figure 2, the specific method steps are as follows:
步骤S1:根据地铁线网中车站进站客流量与区间断面流量间的关系分析,构造地铁线网中车站进站量与区间断面流量间的线性函数式:Step S1: According to the analysis of the relationship between the station inbound passenger flow and section section flow in the subway network, construct the linear functional expression between the station entry volume and section section flow in the subway line network:
考虑车站进站客流传播的状态转移和滞后性,在分析过程中加入时间信息,构造出两者之间的线性函数关系如下式:Considering the state transition and hysteresis of inbound passenger flow propagation at the station, time information is added to the analysis process, and the linear functional relationship between the two is constructed as follows:
其中,xi为第i个车站的总进站量,i=1,2,…,n;yj为第j个区间上的断面总流量,j=1,2,…,m;αji为从第i个车站进站并通过第j个区间断面的客流量占第i个车站总进站量的比例;βij为第j个区间断面客流量中从第i个车站进站的客流量占第j个区间断面总客流量的比例;Δtji为客流从第i个车站到达第j个区间所需的时间,考虑到城市轨道交通的准时性,可认为对于确定的i和j,Δtji为一个定值常量;xi(t-Δtji)为第(t-Δtji)个时段内的第i个车站的总进站量;yj(t)为第t个时段内的第j个区间上的断面总流量;m、n为自然数,n为车站总数,m为区间总数。Among them, x i is the total inbound volume of the i-th station, i=1,2,...,n; y j is the total flow of the section on the j-th section, j=1,2,...,m; α ji is the proportion of the passenger flow entering from the i-th station and passing through the j-th section to the total inbound volume of the i-th station; β ij is the passenger flow entering the station from the i-th station in the j-th section Δt ji is the time required for the passenger flow to reach the j-th section from the i-th station. Considering the punctuality of urban rail transit, it can be considered that for a certain i and j, Δt ji is a fixed value constant; x i (t-Δt ji ) is the total inbound volume of the i-th station in the (t-Δt ji )th time period; y j (t) is the t-th time period The total flow of the section on the jth interval; m and n are natural numbers, n is the total number of stations, and m is the total number of intervals.
步骤S2:基于车站进站量和区间断面流量的历史数据值进行线性拟合,确定待估参数,具体包括以下步骤:Step S2: Carry out linear fitting based on the historical data values of station inbound volume and section flow, and determine the parameters to be estimated, specifically including the following steps:
S21:确定第j个区间存在如下关系式S21: Determine that the jth interval has the following relationship
yj(t)=αj1x1(t-Δtj1)+αj2x2(t-Δtj2)+αj3x3(t-Δtj3)+...+αjnxn(t-Δtjn);y j (t)=α j1 x 1 (t-Δt j1 )+α j2 x 2 (t-Δt j2 )+α j3 x 3 (t-Δt j3 )+...+α jn x n (t- Δt jn );
S22:从历史数据中选取一天中t时间段内第j个区间上断面总流量yj(t)以及n个车站的进站量x1、x2、x3…xn做为一组输入数据;S22: From the historical data, select the total flow y j (t) of the upper section of the j-th interval in the time period t of the day and the inbound volume x 1 , x 2 , x 3 ... x n of n stations as a set of inputs data;
S23:如步骤S22中,从历史数据中选取不同天的多组输入数据;S23: As in step S22, multiple sets of input data of different days are selected from historical data;
S24:将多组输入数据代入步骤S21中关系式,确定待估参数αj1、αj2、αj3…αjn,其中j依次取值为1,2,…,m;S24: Substituting multiple sets of input data into the relational expression in step S21 to determine the parameters to be estimated α j1 , α j2 , α j3 ... α jn , where j takes the values 1, 2, ..., m in sequence;
S25:确定第i个车站存在如下关系式S25: Determine that the i-th station has the following relationship
xi(t-Δtji)=βi1y1(t)+βi2y2(t)+βi3y3(t)+...+βinyn(t);x i (t-Δt ji )=β i1 y 1 (t)+β i2 y 2 (t)+β i3 y 3 (t)+...+β in y n (t);
S26:从历史数据中选取一天中t时间段内第i个车站的总进站量yj(t)以及m个区间上断面总流量y1、y2、y3…yn做为一组输入数据;S26: From the historical data, select the total inbound volume y j (t) of the i-th station in the t time period of the day and the total flow y 1 , y 2 , y 3 ... y n of the upper sections of the m intervals as a group Input data;
S27:如步骤S26中,从历史数据中选取不同天的多组输入数据;S27: As in step S26, multiple sets of input data of different days are selected from historical data;
S28:将多组输入数据代入步骤S25中关系式,确定待估参数βi1、βi2、βi3…βmj,其中i依次取值为1,2,…,n。S28: Substituting multiple sets of input data into the relational formula in step S25 to determine the parameters to be estimated β i1 , β i2 , β i3 ... β mj , where i takes values 1, 2, ..., n in turn.
步骤S3:基于给定区间的断面流量,计算对应车站的目标进站量。Step S3: Based on the cross-sectional flow of a given section, calculate the target inbound volume of the corresponding station.
S31:基于第i个车站进站并通过第j个区间的客流量与第j个区间断面客流中来自第i个车站进站的客流量相等,得到以下等式:S31: Based on the fact that the passenger flow of the i-th station entering the station and passing through the j-th section is equal to the passenger flow of the i-th station entering the station in the section passenger flow of the j-th section, the following equation is obtained:
αjixi(t-Δtji)=βijyj(t);α ji x i (t-Δt ji ) = β ij y j (t);
S32:基于区间断面最大满载率确定第j个区间的最大断面流量yj(t);S32: Determine the maximum cross-sectional flow y j (t) of the j-th interval based on the maximum full load rate of the interval section;
S33:令i=1,j依次取值为1,2,…,m,得到第(t-Δtj1)个时段内的第1个车站的m个进站量x1(t-Δt11)、x1(t-Δt21)、x1(t-Δt31)、…、x1(t-Δtm1);S33: Let i=1, j take the value of 1, 2, ..., m in sequence, and obtain the m incoming quantities x 1 (t-Δt 11 ) of the first station in the (t-Δt j1 )th time period , x 1 (t-Δt 21 ), x 1 (t-Δt 31 ), ..., x 1 (t-Δt m1 );
S34:选取上述m个进站量x1(t-Δt11)、x1(t-Δt21)、x1(t-Δt31)、…、x1(t-Δtm1)中的最小值min x1(t-Δtj1)作为第1个车站在第(t-Δtj1)个时段内进站量的控制值;S34: Select the minimum value among the above m inbound quantities x 1 (t-Δt 11 ), x 1 (t-Δt 21 ), x 1 (t-Δt 31 ), ..., x 1 (t-Δt m1 ) min x 1 (t-Δt j1 ) is used as the control value of the inbound volume of the first station in the (t-Δt j1 ) period;
S35:令i依次取值为2,…,n,重复上述步骤,得到每个车站在第(t-Δtj1)个时段内进站量的控制值,即为对应车站的目标进站量。S35: Let i take the value of 2,...,n in turn, repeat the above steps, and obtain the control value of the inbound volume of each station in the (t-Δt j1 )th time period, which is the target inbound volume of the corresponding station.
应说明的是,待估参数值随历史数据库的增大而准确度增加。It should be noted that the accuracy of the parameter values to be estimated increases with the increase of the historical database.
步骤S4:基于目标进站量确定客流控制策略。Step S4: Determine the passenger flow control strategy based on the target inbound volume.
由于回归参数αji、βij的确定采用了大量的历史数据,因此根据上述计算,基于目标进站量确定客流控制策略包括:预测估计出各车站未来每日需要进行限流的时间段及相应的客流量控制值,给出车站限流预测建议;和/或通过对比车站当前时段进站量与目标进站量,决定车站当前是否需要进行限流并实行控制进站量的措施。Since the determination of the regression parameters α ji and β ij uses a large amount of historical data, according to the above calculation, determining the passenger flow control strategy based on the target inbound volume includes: predicting and estimating the time period and corresponding According to the passenger flow control value of the station, it will give the station flow limit prediction suggestion; and/or by comparing the current period of the station with the target inflow, determine whether the station currently needs to limit the flow and implement measures to control the inflow.
进一步地,客流控制策略还包括车站限流措施的分级控制:不同的区间设定不同级别的满载率,计算得到与不同级别满载率相对应的限流的时间段和客流量控制值,实现车站限流措施的分级控制。本发明中,不同级别的满载率包括三个级别,分别为120%、130%和140%。Furthermore, the passenger flow control strategy also includes hierarchical control of station flow limitation measures: different sections are set with different levels of full load rate, and the time period of flow limit and passenger flow control value corresponding to different levels of full load rate are calculated to realize station traffic control. Hierarchical control of current limiting measures. In the present invention, the full load ratios of different levels include three levels, which are 120%, 130% and 140% respectively.
实施例1Example 1
如图3所示,本实施例中包括①②③共三个车站和区间1、区间2共两个区间。As shown in FIG. 3 , this embodiment includes three stations (1), (2) (3) and two sections (section 1 and section 2).
根据地铁线网中车站进站客流量与区间断面流量间的关系分析,构造地铁线网中车站进站量与区间断面流量间的线性函数式:According to the analysis of the relationship between the station inbound passenger flow and the section flow in the subway network, the linear function formula between the station inflow and the section flow in the subway network is constructed:
其中,xi为第i个车站的总进站量,i=1,2,…,n;yj为第j个区间上的断面总流量,j=1,2,…,m;αji为从第i个车站进站并通过第j个区间断面的客流量占第i个车站总进站量的比例;βij为第j个区间断面客流量中从第i个车站进站的客流量占第j个区间断面总客流量的比例;Δtji为客流从第i个车站到达第j个区间所需的时间,考虑到城市轨道交通的准时性,可认为对于确定的i和j,Δtji为一个定值常量;xi(t-Δtji)为第(t-Δtji)个时段内的第i个车站的总进站量;yj(t)为第t个时段内的第j个区间上的断面总流量;m、n为自然数,n为车站总数,m为区间总数。Among them, x i is the total inbound volume of the i-th station, i=1,2,...,n; y j is the total flow of the section on the j-th section, j=1,2,...,m; α ji is the proportion of the passenger flow entering from the i-th station and passing through the j-th section to the total inbound volume of the i-th station; β ij is the passenger flow entering the station from the i-th station in the j-th section Δt ji is the time required for the passenger flow to reach the j-th section from the i-th station. Considering the punctuality of urban rail transit, it can be considered that for a certain i and j, Δt ji is a fixed value constant; x i (t-Δt ji ) is the total inbound volume of the i-th station in the (t-Δt ji )th time period; y j (t) is the t-th time period The total flow of the section on the jth interval; m and n are natural numbers, n is the total number of stations, and m is the total number of intervals.
本实施例中,假设当前为第t个时间段,在考虑状态转移和时间滞后性的前提下,对于区间1和区间2有式如:In this embodiment, assuming that the current time period is the tth time period, under the premise of considering the state transition and time lag, the formulas for interval 1 and interval 2 are as follows:
对于车站①:For station ①:
对于车站②:For station ②:
对于车站③:For the station ③:
通过对3个车站的进站量和2个区间断面流量的历史数据进行收集和线性拟合,待定参数αji和βij的值,具体过程如下:Through the collection and linear fitting of the historical data of the inbound volume of the three stations and the cross-section flow of the two intervals, the values of the parameters α ji and β ij are to be determined. The specific process is as follows:
步骤1:确定第j个区间存在如下关系式Step 1: Determine that the jth interval has the following relationship
yj(t)=αj1x1(t-Δtj1)+αj2x2(t-Δtj2)+αj3x3(t-Δtj3)+...+αjnxn(t-Δtjn);y j (t)=α j1 x 1 (t-Δt j1 )+α j2 x 2 (t-Δt j2 )+α j3 x 3 (t-Δt j3 )+...+α jn x n (t- Δt jn );
步骤2:从历史数据中选取一天中t时间段内第j个区间上断面总流量yj(t)以及n个车站的进站量x1、x2、x3…xn做为一组输入数据;Step 2: From the historical data, select the total flow y j (t) of the upper section of the j-th interval in the time period t of the day and the inbound volume x 1 , x 2 , x 3 ... x n of n stations as a group Input data;
步骤3:如步骤2中,从历史数据中选取不同天的多组输入数据;Step 3: As in Step 2, select multiple sets of input data of different days from the historical data;
步骤4:将多组输入数据代入步骤1中关系式,确定待估参数αj1、αj2、αj3…αjn,其中j依次取值为1和2;Step 4: Substitute multiple sets of input data into the relational formula in step 1, and determine the parameters to be estimated α j1 , α j2 , α j3 ... α jn , where j takes the values 1 and 2 in turn;
步骤5:确定第i个车站存在如下关系式Step 5: Determine that the i-th station has the following relationship
xi(t-Δtji)=βi1y1(t)+βi2y2(t)+βi3y3(t)+...+βinyn(t);x i (t-Δt ji )=β i1 y 1 (t)+β i2 y 2 (t)+β i3 y 3 (t)+...+β in y n (t);
步骤6:从历史数据中选取一天中t时间段内第i个车站的总进站量yj(t)以及m个区间上断面总流量y1、y2、y3…yn做为一组输入数据;Step 6: Select the total inbound volume y j (t) of the i-th station in the time period t of a day and the total flow y 1 , y 2 , y 3 ... y n of the upper sections of m sections from the historical data as a group input data;
步骤7:如步骤6中,从历史数据中选取不同天的多组输入数据;Step 7: As in step 6, select multiple sets of input data of different days from the historical data;
步骤8:将多组输入数据代入步骤5中关系式,确定待估参数βi1、βi2、βi3…βmj,其中i依次取值为1、2和3。Step 8: Substitute multiple sets of input data into the relational formula in step 5, and determine the parameters to be estimated β i1 , β i2 , β i3 ... β mj , where i takes the values 1, 2 and 3 in sequence.
步骤9:得到待定参数α11、α12、α13、α21、α22、α23、β11、β12、β21、β22、β31和β32。Step 9: Obtain undetermined parameters α 11 , α 12 , α 13 , α 21 , α 22 , α 23 , β 11 , β 12 , β 21 , β 22 , β 31 and β 32 .
根据进站量和断面流量关系的分析,对车站①有下列等式成立:According to the analysis of the relationship between inbound volume and section flow, the following equation holds true for station ①:
α11x1(t-Δt11)=β11y1(t) (6)α 11 x 1 (t-Δt 11 )=β 11 y 1 (t) (6)
α21x1(t-Δt21)=β12y2(t) (7)α 21 x 1 (t-Δt 21 )=β 12 y 2 (t) (7)
此时,若给定断面满载率为140%,也即y1(t)、y2(t)已知,根据式6、式7可算出车站①的两个不同的进站量值,分别为x1(t-Δt11)、x1(t-Δt21),取min[x1(t-Δt11),x1(t-Δt21)]作为车站1的控制进站量,假设x1(t-Δt11)为最小值,则车站1在(t-Δt11)个时间段时的最大进站量不得超过x1(t-Δt11)。At this time, if the full load rate of a given section is 140%, that is, y 1 (t) and y 2 (t) are known, two different inbound values of station ① can be calculated according to formula 6 and formula 7, respectively x 1 (t-Δt 11 ), x 1 (t-Δt 21 ), take min[x 1 (t-Δt 11 ), x 1 (t-Δt 21 )] as the controlled inbound quantity of station 1, assuming x 1 (t-Δt 11 ) is the minimum value, then the maximum inbound volume of station 1 in (t-Δt 11 ) time periods shall not exceed x 1 (t-Δt 11 ).
在未来的车站客流管理中,可以根据这一结果指导车站提前在(t-Δt11)个时间段对进站量进行监控,确认当前进站量是否超过计算所得的控制进站量x1(t-Δt11),提前采取相应的限流措施,从而达到预测控制进站量的目的。In future station passenger flow management, this result can be used to guide the station to monitor the inbound volume in (t-Δt 11 ) time periods in advance to confirm whether the current inbound volume exceeds the calculated controlled inbound volume x 1 ( t-Δt 11 ), take corresponding flow-limiting measures in advance, so as to achieve the purpose of predicting and controlling the inbound volume.
同理,对车站②有下列等式成立:Similarly, the following equation holds for station ②:
α12x2(t-Δt12)=β21y1(t) (8)α 12 x 2 (t-Δt 12 )=β 21 y 1 (t) (8)
α22x2(t-Δt22)=β22y2(t) (9)α 22 x 2 (t-Δt 22 )=β 22 y 2 (t) (9)
同样按照上述方法取min[x2(t-Δt12),x2(t-Δt22)]作为车站②的控制进站量。Also take min[x 2 (t-Δt 12 ),x 2 (t-Δt 22 )] as the controlled inbound quantity of station ② according to the above method.
同理,对车站③有下列等式成立:Similarly, the following equation holds true for station ③:
α13x3(t-Δt13)=β31y1(t) (10)α 13 x 3 (t-Δt 13 )=β 31 y 1 (t) (10)
α23x3(t-Δt23)=β32y2(t) (11)α 23 x 3 (t-Δt 23 )=β 32 y 2 (t) (11)
同样按照上述方法取min[x3(t-Δt13),x2(t-Δt23)]作为车站③的控制进站量。Also take min[x 3 (t-Δt 13 ), x 2 (t-Δt 23 )] as the controlled inbound quantity of station ③ according to the above method.
实施例2Example 2
在实施例1的基础上,假设将区间断面满载率给定不同的设定值如:120%、130%、140%三个级别,达到这三个级别满载率的时间显然也是不同的,依次设为t1、t2、t3,则可得到区间断面流量为:y(t1)c=120%、y(t2)c=130%、y(t3)c=140%,把三个级别的断面流量作为输入数据,用前述方法可输出对应的进站量控制值及时间段。此处仍以车站①为例进行说明:On the basis of Example 1, assuming that the full load rate of the section section is given different set values such as: 120%, 130%, and 140% three levels, the time to reach the full load rate of these three levels is obviously also different, in turn Set as t 1 , t 2 , t 3 , then the flow rate at the section section can be obtained: y(t 1 ) c=120% , y(t 2 ) c=130% , y(t 3 ) c=140% , put The three levels of cross-section flow are used as input data, and the corresponding inbound volume control value and time period can be output by using the aforementioned method. Here still take the station ① as an example for illustration:
假设y(t1)c=120%时,车站①的进站量控制值为x1(t1-Δt11)c=120%,则表示在(t1-Δt11)个时间段,区间1可能有轻微拥堵,车站应注意采取减少进站量措施。Assuming that when y(t 1 ) c=120% , the control value of station ①’s inbound volume is x 1 (t 1 -Δt 11 ) c=120% , which means that in (t 1 -Δt 11 ) time periods, intervals 1 There may be slight congestion, and the station should pay attention to take measures to reduce the number of incoming stations.
假设y(t2)c=130%时,车站①的进站量控制值为x1(t2-Δt11)c=130%,则表示在(t2-Δt11)个时间段,区间1可能有中度拥堵,车站应在原有限制基础上进一步减少进站量。Assuming that when y(t 2 ) c=130% , the control value of station ①’s inbound volume is x 1 (t 2 -Δt 11 ) c=130% , which means that in (t 2 -Δt 11 ) time periods, intervals 1 There may be moderate congestion, and the station should further reduce the amount of incoming traffic on the basis of the original restrictions.
假设y(t3)c=140%时,车站①的进站量控制值为x1(t3-Δt11)c=140%,则表示在(t3-Δt11)个时间段,区间1可能有严重拥堵,车站应在原有限制基础上采取更加严格的限制进站量措施。Assuming that when y(t 3 ) c=140% , the control value of station ①’s inbound volume is x 1 (t 3 -Δt 11 ) c=140% , which means that in (t 3 -Δt 11 ) time periods, intervals 1 There may be serious congestion, and the station should adopt stricter measures to limit the amount of incoming traffic on the basis of the original restrictions.
本实施例通过对区间断面客流量(或满载率)的分级,能够指导地铁车站在实际运营管理中,根据情况在不同时段对进站量采取分级控制措施,使进站量控制更加合理。In this embodiment, by grading the passenger flow (or full load rate) of the section section, it can guide the subway station to take grading control measures for the inbound volume in different periods according to the situation in the actual operation and management, so that the inbound volume control is more reasonable.
显然,本发明的上述实施例仅仅是为清楚地说明本发明所作的举例,而并非是对本发明的实施方式的限定,对于所属领域的普通技术人员来说,在上述说明的基础上还可以做出其它不同形式的变化或变动,这里无法对所有的实施方式予以穷举,凡是属于本发明的技术方案所引伸出的显而易见的变化或变动仍处于本发明的保护范围之列。Apparently, the above-mentioned embodiments of the present invention are only examples for clearly illustrating the present invention, and are not intended to limit the implementation of the present invention. Those of ordinary skill in the art can also make It is impossible to exhaustively list all the implementation modes here, and any obvious changes or changes derived from the technical solutions of the present invention are still within the scope of protection of the present invention.
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