CN102359056B - Detection method of bituminous pavement data - Google Patents
Detection method of bituminous pavement data Download PDFInfo
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- 238000012545 processing Methods 0.000 claims abstract description 37
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- 230000011218 segmentation Effects 0.000 claims description 54
- 238000012360 testing method Methods 0.000 claims description 47
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- 238000001276 Kolmogorov–Smirnov test Methods 0.000 claims description 7
- 238000007689 inspection Methods 0.000 claims description 6
- 238000005070 sampling Methods 0.000 claims description 5
- 238000013102 re-test Methods 0.000 claims description 2
- 238000012423 maintenance Methods 0.000 abstract description 14
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Abstract
本发明公开了一种沥青路面数据的检测方法,包括以下步骤:步骤1:采集检测数据,形成原始数据序列;步骤2:检查并补测检测数据,形成数据序列;步骤3:平滑处理;步骤4:对检测数据进行预分段;步骤5:第一次查找异常值;步骤6:第一次合并分段;步骤7:第二次查找异常值;步骤8:第二次合并分段;步骤9:查找局部处理点;步骤10:测算每种检测指标在每一分段的代表值。该检测方法可以有效的测出检测数据中的异常值及其所在位置,能够有效区分检测指标在整个路段分布情况的道路分段,测出检测指标在每一分段的代表值,以此为道路养护或改扩建方案提供更科学的、更经济的依据。
The invention discloses a detection method of asphalt pavement data, which comprises the following steps: step 1: collecting detection data to form an original data sequence; step 2: checking and supplementing detection data to form a data sequence; step 3: smoothing processing; 4: Pre-segment the detection data; Step 5: Find outliers for the first time; Step 6: Merge segments for the first time; Step 7: Find outliers for the second time; Step 8: Merge segments for the second time; Step 9: Find local processing points; Step 10: Calculate the representative value of each detection index in each segment. The detection method can effectively detect the abnormal value and its location in the detection data, and can effectively distinguish the road segment of the distribution of the detection index in the entire road section, and measure the representative value of the detection index in each segment. Road maintenance or reconstruction and expansion programs provide a more scientific and economical basis.
Description
技术领域 technical field
本发明涉及一种数据的检测方法,具体来说,涉及一种沥青路面数据的检测方法。The invention relates to a data detection method, in particular to a detection method of asphalt pavement data.
背景技术 Background technique
随着我国公路交通量迅猛增长,汽车载重不断增大,加上我国特殊多变的地形地貌和气候环境对路面耐久性的诸多不利影响,我国的公路事业正面临着更为严峻的考验和更高的要求。众所周知,路面结构在交通荷载和自然因素的反复作用下,路面使用性能会逐渐减弱,进而路面结构也会逐渐出现破坏,最终导致无法满足使用要求;这就要求公路管理单位在沥青路面承受一定的荷载作用次数后,视路面结构的损坏程度与使用性能的衰减程度,制定合理、有效、经济的养护或改扩建方案。With the rapid growth of my country's highway traffic volume, the increasing load of vehicles, and the many adverse effects of my country's special and changeable terrain and climate on the durability of the road surface, my country's highway industry is facing more severe tests and more challenges. high demands. As we all know, under the repeated action of traffic load and natural factors, the pavement performance will gradually weaken, and the pavement structure will gradually be damaged, which will eventually fail to meet the use requirements; After the number of loads, depending on the damage degree of the pavement structure and the attenuation degree of the service performance, a reasonable, effective and economical maintenance or reconstruction and expansion plan should be formulated.
在制定养护或者改扩建方案的时候,需要利用一些检测数据表征既有道路的路况水平。我国现行的《公路沥青路面养护技术规范》(JTJ073.2-2001)中指出,沥青路面现有使用质量评价的内容包括:路面破损状况、路面行驶质量、路面强度及路面抗滑性能。其中,路面破损状况指标PCI由路面综合破损率DR按公式测算得出;路面行驶质量指数RQI由平整度测试设备测试结果BI按公式测算得出;路面强度SSI由路段代表弯沉按公式测算得出;路面抗滑性能采用抗滑系数为指标,抗滑系数以横向力系数SFC或摆式仪的摆值BPN表示。此外,除了以上养护性检测指标,沥青路面检测指标还包括车辙深度等指标。When formulating maintenance or reconstruction and expansion plans, it is necessary to use some test data to characterize the road condition level of existing roads. my country's current "Technical Specifications for Highway Asphalt Pavement Maintenance" (JTJ073.2-2001) points out that the current use quality evaluation of asphalt pavement includes: pavement damage, pavement driving quality, pavement strength and pavement anti-skid performance. Among them, the pavement damage status index PCI is calculated by the comprehensive pavement damage rate DR according to the formula; the road driving quality index RQI is calculated by the test result BI of the flatness test equipment according to the formula; the road strength SSI is calculated by the road section representative deflection according to the formula The anti-skid performance of the pavement uses the anti-skid coefficient as the index, and the anti-skid coefficient is expressed by the lateral force coefficient SFC or the pendulum value BPN of the pendulum instrument. In addition, in addition to the above maintenance detection indicators, the asphalt pavement detection indicators also include rut depth and other indicators.
可以明确的是,对于某一路段而言,除路面综合破损率DR外,该路段的平整度测试设备测试结果BI,路段代表弯沉,横向力系数SFC,摆式仪的摆值BPN都是基于一定数量的检测数据,利用统计学原理,采用公式测算而来。该公式中,为该路段检测数据的平均值;S为该路段检测数据的标准差;rv为该检测指标在该路段的代表值;a为正数,由统计学上的保证率决定。当路面性能与检测指标的大小成正比时,公式中用负号;当路面性能与检测指标的大小成反比时,公式中用正号。It is clear that, for a certain road section, in addition to the comprehensive damage rate DR of the road surface, the test result BI of the flatness test equipment of the road section, the road section represents deflection, the lateral force coefficient SFC, and the pendulum value BPN of the pendulum instrument are all Based on a certain amount of detection data, using statistical principles, using the formula Calculated. In this formula, is the average value of the detection data of the road section; S is the standard deviation of the detection data of the road section; rv is the representative value of the detection index in the road section; a is a positive number, determined by the statistical guarantee rate. When the pavement performance is directly proportional to the size of the detection index, the negative sign is used in the formula; when the pavement performance is inversely proportional to the size of the detection index, the positive sign is used in the formula.
由上述内容可以看出,现阶段沥青路面数据的检测方法比较单一,其缺点主要有以下几点:From the above content, it can be seen that the detection method of asphalt pavement data at this stage is relatively simple, and its shortcomings mainly include the following points:
1.常用的检测方法忽略了检测数据中异常值的存在,不能充分利用检测数据所包含的信息。1. Commonly used detection methods ignore the existence of outliers in the detection data, and cannot make full use of the information contained in the detection data.
2.若整条路段仅采用一个值作为其代表值,显然是不科学的。首先,这种代表值不能有效的反映该检测指标在整条路段的分布情况;第二,若采用这种代表值进行养护或改扩建方案设计,势必会造成在这种代表值下,所得到的养护或改扩建方案不能有效改善该路段内某些不利位置的路面性能;同样的,在该路段内某些有利位置进行相应的养护或改扩建方案就会产生一定的浪费。2. It is obviously unscientific to use only one value as its representative value for the entire road section. First of all, this representative value cannot effectively reflect the distribution of the detection index in the entire road section; second, if this representative value is used for maintenance or reconstruction and expansion plan design, it will inevitably result in The maintenance or reconstruction and expansion plan cannot effectively improve the pavement performance of some unfavorable positions in the road section; similarly, the corresponding maintenance or reconstruction and expansion plan in some favorable positions in the road section will produce a certain amount of waste.
发明内容 Contents of the invention
技术问题:本发明所要解决的技术问题是:提供一种沥青路面数据的检测方法,可以有效的测出检测数据中的异常值及其所在位置,能够有效区分检测指标在整个路段分布情况的道路分段,测出检测指标在每一分段的代表值,以此为道路养护或改扩建方案提供更科学的、更经济的依据。Technical problem: The technical problem to be solved by the present invention is to provide a detection method for asphalt pavement data, which can effectively detect abnormal values and their locations in the detection data, and can effectively distinguish the distribution of detection indicators in the entire road section. Segmentation, measure the representative value of the detection index in each segment, so as to provide a more scientific and economical basis for road maintenance or reconstruction and expansion plans.
技术方案:为解决上述技术问题,本发明采用的技术方案是:Technical scheme: in order to solve the above technical problems, the technical scheme adopted in the present invention is:
一种沥青路面数据的检测方法,包括以下步骤:A detection method for asphalt pavement data, comprising the following steps:
步骤1:采集检测数据,形成原始数据序列:对沥青路面检测指标采集检测数据,并且每个检测数据都对应一个桩号信息;按照桩号信息从小到大排序,形成检测数据的原始数据序列;Step 1: Collect test data and form the original data sequence: collect test data for the asphalt pavement test indicators, and each test data corresponds to a stake number information; sort the stake number information from small to large to form the original data sequence of the test data;
步骤2:检查并补测检测数据,形成数据序列:检查步骤1中采集的检测数据并对错误数据进行补测,形成数据序列d;Step 2: Check and retest the detection data to form a data sequence: check the detection data collected in
步骤3:平滑处理:对步骤2得到的检测数据进行平滑处理,得到平滑处理后的检测数据;Step 3: smoothing processing: smoothing the detection data obtained in step 2 to obtain the smoothed detection data;
步骤4:对检测数据进行预分段:以极差为控制指标,对步骤3得到的平滑处理后的检测数据进行预分段,每一分段中的极差小于或等于最大容许极差,并记录预分段中各分段点的桩号信息,形成预分段;Step 4: Pre-segment the detection data: take the range as the control index, pre-segment the smoothed detection data obtained in step 3, the range in each segment is less than or equal to the maximum allowable range, And record the stake number information of each segment point in the pre-segmentation to form a pre-segmentation;
步骤5:第一次查找异常值:按步骤4得到的预分段,对步骤2得到的检测数据进行分段,对每一分段进行异常值查找,并在检测数据中加以标记;Step 5: Find outliers for the first time: According to the pre-segmentation obtained in step 4, segment the test data obtained in step 2, search for outliers in each segment, and mark them in the test data;
步骤6:第一次合并分段:按照步骤4得到的预分段,将步骤2得到的检测数据进行分段,排除步骤5中得到的异常值后,基于双样本柯尔莫哥洛夫-斯摩洛夫Kolmogorov-Smirnov检验,对步骤4得到的预分段进行合并,记录合并后各分段点的桩号信息;Step 6: Merge segmentation for the first time: according to the pre-segmentation obtained in step 4, segment the detection data obtained in step 2, and exclude the outliers obtained in step 5, based on the two-sample Kolmogorov- Smolov Kolmogorov-Smirnov test, merge the pre-segmentation obtained in step 4, and record the stake number information of each segment point after the merger;
步骤7:第二次查找异常值:按步骤6得到分段点的桩号信息,将步骤2得到的检测数据进行分段,对每一分段进行异常值查找,并在检测数据中加以标记;Step 7: Find outliers for the second time: Obtain the chain number information of the segmentation points according to step 6, segment the detection data obtained in step 2, search for abnormal values for each segment, and mark them in the detection data ;
步骤8:第二次合并分段:按步骤6得到的分段点的桩号信息,对步骤2得到的检测数据进行分段,排除步骤7中得到的异常值后,基于秩和检验,对步骤7得到的分段进行合并,记录合并后各分段点的桩号信息;Step 8: Merge segmentation for the second time: according to the stake number information of the segmentation point obtained in step 6, segment the detection data obtained in step 2, and exclude the outliers obtained in step 7, based on the rank sum test, the The segments obtained in step 7 are merged, and record the stake number information of each segment point after the merger;
步骤9:查找局部处理点:按步骤8得到的桩号信息,将步骤2得到的检测数据进行分段,查找局部处理点;Step 9: Search for local processing points: according to the stake number information obtained in step 8, segment the detection data obtained in step 2, and search for local processing points;
步骤10:测算每种检测指标在每一分段的代表值:按步骤8得到的桩号信息,将步骤2得到的检测数据进行分段,并排除步骤9中查找的局部处理点,测算每种检测指标在每一分段的代表值。Step 10: Calculate the representative value of each detection indicator in each segment: according to the stake number information obtained in step 8, segment the detection data obtained in step 2, and exclude the local processing points found in step 9, and calculate each The representative value of each detection indicator in each segment.
有益效果:与现有技术相比,本发明的有益效果是:此为道路养护或改扩建方案提供更科学的、更经济的依据。首先,本发明的技术方案可以得到道路检测数据的分段,这种分段可以有效的区分道路检测数据在路段的分布,具体来说,通过步骤6和步骤8对检测数据进行两次合并分段,将分布类型相似,大小相近的数据合并为一个段落。其次,可以得到某一检测指标在各分段的代表值,为后续的养护或改扩建方案设计提供决策依据,具体来说,步骤10对每种检测指标在每一分段的代表值的测算,是建立在对采集的原始数据序列,进行了平滑处理、预分段、两次查找异常值、两次合并分段和查找局部处理点之后才进行的,这样测算的代表值具有一定保证率,可以有效的表征该检测指标在某一分段的取值情况。第三,可以得到该指标在道路中各分段的异常点位置,也就是需要局部处理点的位置,可以有效的提高养护或改扩建方案的经济性。Beneficial effect: Compared with the prior art, the beneficial effect of the present invention is that it provides a more scientific and economical basis for road maintenance or reconstruction and expansion schemes. First, the technical solution of the present invention can obtain the segmentation of road detection data, which can effectively distinguish the distribution of road detection data in the road section. Specifically, the detection data is merged and divided twice through steps 6 and 8. Segment, which combines data with similar distribution types and similar sizes into one segment. Secondly, the representative value of a certain detection index in each segment can be obtained, which provides decision-making basis for the design of subsequent maintenance or reconstruction and expansion schemes. Specifically, step 10 calculates the representative value of each detection index in each segment , is based on smoothing, pre-segmentation, outlier search twice, merging segments twice and local processing point search on the collected original data sequence, so that the representative value of the calculation has a certain guarantee rate , which can effectively represent the value of the detection index in a certain segment. Third, the position of the abnormal point of the index in each section of the road can be obtained, that is, the position of the point that needs local treatment, which can effectively improve the economy of the maintenance or reconstruction and expansion plan.
附图说明 Description of drawings
图1是本发明的检测方法的流程框图。Fig. 1 is a flowchart of the detection method of the present invention.
图2是本发明中步骤4的流程框图。Fig. 2 is a flowchart of step 4 in the present invention.
图3是本发明中步骤6的流程框图。Fig. 3 is a flowchart of step 6 in the present invention.
图4是本发明中步骤8的流程框图。Fig. 4 is a flowchart of step 8 in the present invention.
具体实施方式 Detailed ways
下面结合附图,对本发明的技术方案进行具体的阐述。The technical solutions of the present invention will be described in detail below in conjunction with the accompanying drawings.
如图1所示,本发明的一种沥青路面数据的检测方法,包括以下步骤:As shown in Figure 1, a kind of detection method of asphalt pavement data of the present invention comprises the following steps:
步骤1:采集检测数据,形成原始数据序列:对沥青路面检测指标采集检测数据,并且每个检测数据都对应一个桩号信息,按照桩号信息从小到大排序,形成检测数据的原始数据序列。这些检测数据是直接采集的数据,没有经过任何处理。Step 1: Collect test data to form the original data sequence: collect test data for the asphalt pavement test indicators, and each test data corresponds to a stake number information, and sort the stake number information from small to large to form the original data sequence of the test data. These detection data are directly collected data without any processing.
在该步骤1中,检测指标包括路面破损状况、行驶质量、路面强度、路面抗滑性能和车辙深度。按照《公路沥青路面养护技术规范》(JTJ073.2-2001)的要求对前述检测指标进行检测数据采集。采集检测数据要求按照一定间隔均匀采集,采样间隔的大小要参照《公路沥青路面养护技术规范》(JTJ073.2-2001)的要求选取。每种检测指标分别形成一组原始数据序列。为保证检测数据样本的代表性,要求每组待处理检测数据,即每组原始数据序列中的数据个数大于100。将采集后的检测数据按桩号大小,从小到大进行排序,形成原始数据序列。In this
步骤2:检查步骤1中采集的检测数据并对错误数据进行补测,形成数据序列d。Step 2: Check the detection data collected in
在该步骤2中,对检测数据的检查包括错误值检查和均匀性检查:In this step 2, the inspection of the detection data includes error value inspection and uniformity inspection:
a.错误值检查:选取一个检测指标的数据样本,参照以下公式进行测算:a. Error value check: Select a data sample of a detection indicator and calculate it by referring to the following formula:
式(1)中:In formula (1):
xi表示数据样本中第i个数据;x i represents the i-th data in the data sample;
表示数据样本的均值; represents the mean of the data sample;
S表示数据样本的标准差。S represents the standard deviation of the data sample.
若xi满足式(1),则对该点进行补测。若补测结果仍不满足上述条件,则将该值视为正常值进行后续的数据处理。If x i satisfies the formula (1), the supplementary measurement is performed on this point. If the supplementary test results still do not meet the above conditions, the value will be regarded as a normal value for subsequent data processing.
b.均匀性检查:按以下公式检查经过错误值检查,并经过补测的数据的均匀性:b. Uniformity check: check the uniformity of the data that has been checked for error values and has been supplemented by the following formula:
均匀性=|相邻两点桩号之差-采样间隔|/采样间隔 式(2)Uniformity=|Difference between two adjacent stakes-sampling interval|/sampling interval Formula (2)
相邻两点之间的均匀性应满足式(3):The uniformity between two adjacent points should satisfy formula (3):
均匀性<=1 式(3)Uniformity<=1 Formula (3)
若不满足上述条件,则应在相应位置进行补测,直至满足上述条件。If the above conditions are not met, supplementary testing shall be carried out at the corresponding position until the above conditions are met.
每种检测指标中采集的检测数据经过检查和补测后,形成数据序列d,其中包含的数据数量为n,即d由d1、d2、d3、d4、d5...di-1、di、di+1...dn-1、dn组成。The detection data collected in each detection indicator is inspected and supplemented to form a data sequence d, which contains n data, that is, d consists of d 1 , d 2 , d 3 , d 4 , d 5 ...d i-1 , d i , d i+1 ...d n-1 , d n .
步骤3:平滑处理:对步骤2得到的检测数据进行平滑处理,得到平滑处理后的检测数据。Step 3: smoothing processing: performing smoothing processing on the detection data obtained in step 2 to obtain smoothed detection data.
在该步骤3中,数据平滑处理指消除一组数据的峰谷值对总体分布的影响,使得数据曲线尽量平顺光滑。In Step 3, data smoothing refers to eliminating the influence of the peak and valley values of a set of data on the overall distribution, so as to make the data curve as smooth as possible.
具体的平滑处理过程按照式(4)进行:The specific smoothing process is carried out according to formula (4):
ds1=d1;ds 1 =d 1 ;
ds2=(d1+d2+d3)/3;ds 2 =(d 1 +d 2 +d 3 )/3;
ds3=(d1+d2+d3+d4+d5)/5;ds 3 =(d 1 +d 2 +d 3 +d 4 +d 5 )/5;
dsi=(di-(span-1)/2+...+di-1+di+di+1+...+di+(span-1)/2)/span; 式(4)ds i =(d i-(span-1)/2 +...+d i-1 +d i +d i+1 +...+d i+(span-1)/2 )/span; (4)
dsn-2=(dn-4+dn-3+dn-2+dn-1+dn)/5;ds n-2 = (d n-4 + d n-3 + d n-2 + d n-1 + d n )/5;
dsn-1=(dn-2+dn-1+dn)/3;ds n-1 = (d n-2 + d n-1 + d n )/3;
dsn=dn;ds n =d n ;
式(4)中:In formula (4):
该式中:由ds1、ds2、ds3...dsi...dsn-2、dsn-1、dsn组成的数据序列ds,表示平滑处理后的数据序列,总量为n,其中,ds1表示数据序列中第一个平滑处理后的数据,ds2表示数据序列中第二个平滑处理后的数据,ds3表示数据序列中第三个平滑处理后的数据,...,dsi表示数据序列中第i个平滑处理后的数据,dsn-2表示数据序列中第n-2个平滑处理后的数据,dsn-1表示数据序列中第n-1个平滑处理后的数据,dsn表示数据序列中第n个平滑处理后的数据。由d1、d2、d3、d4、d5...di(span-1)/2...di-1、di、di+1...di+(span-1)/2...dn-4、dn-3、dn-2、dn-1、dn组成的数据序列d,为步骤2得到的数据序列,总量为n,与数据序列ds的总量一致。span为平滑范围,取值小于或等于n,且取值范围是5至20内的奇数。span取值过大会导致分段长度过大,失去分段意义,span取值过小则会导致分段过于精细,不利于方案设计。In this formula: the data sequence ds composed of ds 1 , ds 2 , ds 3 ... ds i ... ds n-2 , ds n-1 , ds n represents the data sequence after smoothing, and the total amount is n, where ds 1 represents the first smoothed data in the data sequence, ds 2 represents the second smoothed data in the data sequence, ds 3 represents the third smoothed data in the data sequence, . .., ds i represents the i-th smoothed data in the data sequence, ds n-2 represents the n-2 smoothed data in the data sequence, ds n-1 represents the n-1th data in the data sequence The smoothed data, ds n represents the nth smoothed data in the data sequence. From d 1 , d 2 , d 3 , d 4 , d 5 ...d i(span-1)/2 ...d i-1 , d i , d i+1 ...d i+(span- 1)/2 ... d n-4 , d n-3 , d n-2 , d n-1 , d n consists of data sequence d, which is the data sequence obtained in step 2, the total amount is n, and the data The total amount of sequence ds is consistent. span is a smooth range, the value is less than or equal to n, and the value range is an odd number from 5 to 20. If the value of span is too large, the segmentation length will be too large, which will lose the meaning of segmentation. If the value of span is too small, the segmentation will be too fine, which is not conducive to the scheme design.
步骤4:对检测数据进行预分段:以极差为控制指标,对步骤3得到的平滑处理后的检测数据进行预分段,每一分段中的极差小于或等于最大容许极差,并记录预分段中各分段点的桩号信息,形成预分段。Step 4: Pre-segment the detection data: take the range as the control index, pre-segment the smoothed detection data obtained in step 3, the range in each segment is less than or equal to the maximum allowable range, And record the stake number information of each segmentation point in the pre-segmentation to form a pre-segmentation.
在该步骤4中,对步骤3形成的平滑后的数据序列ds,进行初步分段称为检测数据的预分段。这种预分段方法主要是以极差(指一组数据中最大值与最小值的差)为控制指标,即在给定的最大容许极差条件下对ds进行预分段,且在预分段之后,每一段的极差都不大于最大容许极差。预分段原理流程图如图2所示:In this step 4, performing preliminary segmentation on the smoothed data sequence ds formed in step 3 is called pre-segmentation of detection data. This pre-segmentation method mainly uses the range (referring to the difference between the maximum value and the minimum value in a set of data) as the control index, that is, to pre-segment ds under the given maximum allowable range condition, and in the pre-segmentation After segmentation, the range of each segment is not greater than the maximum allowable range. The flow chart of the pre-segmentation principle is shown in Figure 2:
首先,令i=1,建立一个临时的空数组TA,设步骤3中的数据序列ds中的数据总量为n,进行以下操作:First, set i=1, create a temporary empty array TA, set the total amount of data in the data sequence ds in step 3 as n, and perform the following operations:
(a)初始化临时数组TA,也就是将数组TA中的全部元素清零;(a) Initialize the temporary array TA, that is, clear all elements in the array TA;
(b)将数据序列ds中的第i个数据dsi插入临时数组TA;(b) insert the i-th data ds i in the data sequence ds into the temporary array TA;
(c)判断数组TA的极差是否小于或等于最大容许极差rmax;(c) judging whether the range of the array TA is less than or equal to the maximum allowable range rmax;
(d)若数组TA的极差小于等于最大容许极差,则将i的值加1;若此时i小于等于n,则返回到(b);若此时i大于n,则分段结束,整理返回的桩号信息;(d) If the range of the array TA is less than or equal to the maximum allowable range, add 1 to the value of i; if i is less than or equal to n at this time, return to (b); if i is greater than n at this time, the segment ends , organize the returned chainage information;
(e)若数组TA的极差大于最大容许极差,则记录第i-1个数据对应的桩号ki-1;若此时i小于n,则返回到(a);若此时i等于n,则分段结束,整理返回的桩号信息。(e) If the extreme difference of the array TA is greater than the maximum allowable extreme difference, then record the chain number k i-1 corresponding to the i-1th data; if at this time i is less than n, return to (a); if at this time i If it is equal to n, the segmentation ends, and the returned chainage information is sorted out.
步骤4中提到的最大容许极差rmax决定了分段数量。最大容许极差rmax越大,预分段得到的分段数量越少,最大容许极差rmax越小,预分段得到的分段数量越多。最大容许极差rmax的取值应由后续的设计方案决定,换言之,若某一检测指标在两路段的差异值达到某一临界值后,可以使得两路段的设计方案发生显著变化,则该临界值即可作为预分段的最大容许极差rmax。本方法推荐弯沉指标的最大容许极差rmax取10-30(0.01mm),车辙指标的最大容许极差rmax取0.5mm-2mm,其它指标的最大容许极差rmax值选取参照前文所述。The maximum allowable range rmax mentioned in step 4 determines the number of segments. The larger the maximum allowable range rmax, the smaller the number of segments obtained by pre-segmentation, and the smaller the maximum allowable range rmax, the more segments obtained by pre-segmentation. The value of the maximum allowable range rmax should be determined by the subsequent design scheme. In other words, if a certain detection index can cause significant changes in the design scheme of the two road sections after the difference between the two road sections reaches a certain critical value, then the critical The value can be used as the maximum allowable range rmax of the pre-segmentation. This method recommends that the maximum allowable range rmax of the deflection index be 10-30 (0.01mm), the maximum allowable range rmax of the rutting index be 0.5mm-2mm, and the maximum allowable range rmax value selection of other indicators refer to the above.
根据返回的桩号信息,即可将得到的桩号作为分段点,对步骤2中得到的数据序列d进行分段。数据序列d经过预分段之后,可以得到一个较为精细的分段,但是由于这种分段往往过于精细,并不利于方案设计。尤其在某些局部位置,分段长度往往很小。这意味着这些较小的分段只需要局部处理即可,没有必要将其单独列为一段。因此,为使分段符合实际应用的需要,有必要对预分段结果进行合并,从而得到便于方案设计的新分段。According to the returned chainage information, the obtained chainage can be used as a segmentation point to segment the data sequence d obtained in step 2. After the data sequence d is pre-segmented, a finer segment can be obtained, but because this segment is often too fine, it is not conducive to the scheme design. Especially in some local positions, the segment length is often very small. This means that these smaller segments only need to be processed locally, and there is no need to list them as a separate segment. Therefore, in order to make the segmentation meet the needs of practical applications, it is necessary to combine the pre-segmentation results to obtain new segments that are convenient for scheme design.
步骤5:第一次查找异常值:按步骤4得到的预分段,对步骤2得到的检测数据进行分段,对每一分段进行异常值查找,并在检测数据中加以标记。Step 5: Find outliers for the first time: According to the pre-segmentation obtained in step 4, segment the test data obtained in step 2, search for outliers in each segment, and mark them in the test data.
在对步骤4的预分段进行合并处理之前,必须要先找出步骤4的各预分段中的异常数据,防止其对合并操作产生干扰。参考《公路路基路面现场测试规程》(JTG E60-2008),若检测指标的大小与路况水平成反比,则将该段中所有大于等于该段均值加上两倍标准差的检测数据作为异常值,即式(5)所示,并加以记录;若检测指标的大小与路况水平成正比,则将该段中所有小于等于该段均值减去两倍标准差的检测数据作为异常值,即式(6)所示,并加以记录。Before merging the pre-segmentation in step 4, it is necessary to find the abnormal data in each pre-segmentation in step 4 to prevent it from interfering with the merging operation. Refer to the "Highway Subgrade Pavement Field Test Regulations" (JTG E60-2008), if the size of the detection index is inversely proportional to the road condition level, all the detection data in the section that is greater than or equal to the average value of the section plus twice the standard deviation are regarded as abnormal values , which is shown in formula (5), and recorded; if the size of the detection index is proportional to the road condition level, then all the detection data in the segment that is less than or equal to the mean value of the segment minus twice the standard deviation are taken as outliers, that is, the formula (6) and record it.
将步骤1得到的数据序列d,按步骤4得到的分段,进行如下判断:The data sequence d obtained in
在式(5)和式(6)中:In formula (5) and formula (6):
xij表示数据序列d中第i分段中的第j个数据;x ij represents the j-th data in the i-th segment in the data sequence d;
表示数据序列d中第i分段中的数据的均值; Indicates the mean value of the data in the i-th segment in the data sequence d;
Si表示数据序列d中第i分段中的数据的标准差。S i represents the standard deviation of the data in the i-th segment in the data sequence d.
根据式(5)和式(6),对数据序列d的每一分段中的每一个数据进行判断,若xij满足式(5)或式(6),则被作为第一次异常值查找得到的异常值,除异常值外的其余数据为第一次异常值查找得到的正常值,将它们分别在数据序列d中加以标识。According to formula (5) and formula (6), each data in each segment of the data sequence d is judged, if x ij satisfies formula (5) or formula (6), it is regarded as the first abnormal value Find outliers, and the rest of the data except the outliers are the normal values obtained in the first outlier lookup, and mark them in the data sequence d respectively.
步骤6:第一次合并分段:按照步骤4得到的预分段,将步骤2得到的检测数据进行分段,排除步骤5中得到的异常值后,基于双样本柯尔莫哥洛夫-斯摩洛夫Kolmogorov-Smirnov检验,对步骤4得到的预分段进行合并,记录合并后各分段点的桩号信息。Step 6: Merge segmentation for the first time: according to the pre-segmentation obtained in step 4, segment the detection data obtained in step 2, and exclude the outliers obtained in step 5, based on the two-sample Kolmogorov- Smirnov Kolmogorov-Smirnov test, merge the pre-segments obtained in step 4, and record the chainage information of each segment point after the merger.
在步骤6中,双样本柯尔莫哥洛夫-斯摩洛夫Kolmogorov-Smirnov检验可以判断两组样本是否从属同一分布(不一定是正态分布),采用这种控制手段,可以对数据序列具有相同分布的相邻段进行初步合并。In step 6, the two-sample Kolmogorov-Smirnov Kolmogorov-Smirnov test can determine whether the two groups of samples belong to the same distribution (not necessarily a normal distribution). Using this control method, the data sequence can be Neighboring segments with the same distribution are initially merged.
步骤6的合并原理流程图如图3所示,合并原理如下所述:The flow chart of the merging principle in step 6 is shown in Figure 3, and the merging principle is as follows:
首先,令i=1,建立一个临时的空数组TA,由步骤5得到的由数据序列d中的正常值组成的m组数据序列,m为预分段数,设这m组数据序列分别为X1,X2….Xm-1,Xm;也可以得到由数据序列d中全部数据组成的m组数据序列,m为预分段数,设这m组数据序列分别为Z1,Z2….Zm-1,Zm,其中Zi应由Xi及由步骤5得到的第i段中的异常值组成。进行以下的操作:First, let i=1, set up a temporary empty array TA, m groups of data sequences formed by the normal values in the data sequence d obtained in step 5, m is the number of pre-segmentation, set the m groups of data sequences as X 1 , X 2 ....X m-1 , X m ; m sets of data sequences composed of all data in the data sequence d can also be obtained, m is the number of pre-segments, and these m sets of data sequences are respectively Z 1 , Z 2 .... Z m-1 , Z m , where Z i should be composed of Xi and the outlier in the i-th segment obtained from step 5. Do the following:
(a)初始化临时数组TA,也就是将数组TA中的全部元素清零;(a) Initialize the temporary array TA, that is, clear all elements in the array TA;
(b)将第i个数据序列Xi插入临时数组TA;(b) insert the i-th data sequence Xi into the temporary array TA;
(c)对数组TA与第i+1个数据序列Xi+1进行显著性水平为p的双样本柯尔莫哥洛夫-斯摩洛夫Kolmogorov-Smirnov检验,也就是图3中的H=ks2test(TA,Xi+1,p),若两样本通过检验,则H=0,认为假设被接受,表明Xi+1与TA属于同一分布;若两样本没有通过检验,则H=1,认为假设被拒绝,表明Xi+1与TA不属于同一分布;(c) Perform a two-sample Kolmogorov-Smirnov Kolmogorov-Smirnov test with a significance level of p on the array TA and the i+1th data sequence X i +1 , which is H in Figure 3 =ks2test(TA, X i+1 , p), if the two samples pass the test, then H=0, it is considered that the hypothesis is accepted, indicating that Xi +1 and TA belong to the same distribution; if the two samples fail the test, then H= 1. It is considered that the hypothesis is rejected, indicating that Xi +1 and TA do not belong to the same distribution;
(d)若H=0,则将i的值加1;若此时i小于m,则返回到b;若此时i等于m,则分段结束,整理返回的桩号信息;(d) if H=0, then add 1 to the value of i; if this moment i is less than m, then return to b; if this moment i is equal to m, then segmentation finishes, arranges the stake information that returns;
(e)若H=1,则记录第i个数据序列Zi中,最后一个数据所对应的桩号Ki;令i等于i+1,若此时i小于m,则返回到(a);否则分段结束,整理返回的桩号信息。(e) if H=1, then record in the i-th data sequence Z i , the stake number Ki corresponding to the last data; Make i equal to i+1, if i is less than m at this moment, then return to (a); Otherwise, the segmentation ends, and the returned chainage information is sorted out.
步骤6中提到的显著性水平p是一个概率值,它决定了双样本柯尔莫哥洛夫-斯摩洛夫Kolmogorov-Smirnov检验的苛刻程度。一般来说,p越大,则检验越苛刻,即假设越容易被拒绝。对于普通的工程应用,p建议取0.05。The significance level p mentioned in step 6 is a probability value that determines how harsh the two-sample Kolmogorov-Smirnov test is. Generally speaking, the larger p is, the harsher the test is, that is, the easier it is for the hypothesis to be rejected. For common engineering applications, p is recommended to be 0.05.
根据返回的桩号信息,即可将得到的桩号作为分段点,对步骤2中得到的数据序列d进行再次分段,这时得到的分段就是经过第一次合并后的分段。According to the returned stake number information, the obtained stake number can be used as a segmentation point to segment the data sequence d obtained in step 2 again, and the segment obtained at this time is the segment after the first merge.
由于仅仅使用基于双样本柯尔莫哥洛夫-斯摩洛夫Kolmogorov-Smirnov检验的合并方法,会出现相邻两段虽然由于分布不同而被区分出来,但其均值或中值并无显著差异的情况。然而,在实际工程应用中,只有当两相邻段的代表值出现显著差异时,其设计方案才会发生变化。换言之,若相邻段的代表值之间无差异,即可将它们划分到同一段落中去。所以,这里需要采用秩和检验,即中位数检验的方法,对相互之间的均值或中值没有显著差异的相邻段落进行合并。Since only the combination method based on the two-sample Kolmogorov-Smorov-Smirnov test is used, although two adjacent segments are distinguished due to different distributions, there is no significant difference in their means or medians Case. However, in practical engineering applications, only when the representative values of two adjacent segments are significantly different, the design scheme will change. In other words, if there is no difference between the representative values of adjacent segments, they can be divided into the same segment. Therefore, it is necessary to use the rank sum test, that is, the median test method, to merge adjacent paragraphs whose mean or median values are not significantly different from each other.
步骤7:第二次查找异常值:按步骤6得到分段点的桩号信息,将步骤2得到的检测数据进行分段,对每一分段进行异常值查找,并在检测数据中加以标记。Step 7: Find outliers for the second time: Obtain the chain number information of the segmentation points according to step 6, segment the detection data obtained in step 2, search for abnormal values for each segment, and mark them in the detection data .
在该步骤7中,查找异常值的过程是:若检测指标的大小与路况水平成反比,则将该段中所有大于等于该段均值加上两倍标准差的检测数据作为异常值,加以记录;若检测指标的大小与路况水平成正比,则将该段中所有小于等于该段均值减去两倍标准差的检测数据作为异常值,加以记录。In this step 7, the process of finding outliers is: if the size of the detection index is inversely proportional to the road condition level, then all the detection data in the section that are greater than or equal to the mean value of the section plus twice the standard deviation are taken as outliers and recorded ; If the size of the detection index is directly proportional to the road condition level, then all the detection data less than or equal to the average value of the segment minus twice the standard deviation in the segment will be recorded as abnormal values.
在对步骤6得到的分段再次进行合并之前,为防止异常数据对合并操作的干扰,需要对步骤2得到的数据序列d进行异常值查找。步骤7与步骤5的区别在于,步骤5中的道路分段是由步骤4中得到的,而步骤7中的道路分段是由步骤6得到的。Before merging the segments obtained in step 6 again, in order to prevent abnormal data from interfering with the merging operation, it is necessary to search for outliers on the data sequence d obtained in step 2. The difference between step 7 and step 5 is that the road segment in step 5 is obtained in step 4, while the road segment in step 7 is obtained in step 6.
按步骤6得到桩号信息对步骤2得到的数据序列d分段,进行异常值的第二次查找:若检测指标的大小与路况水平成反比,则将该段中所有大于等于该段均值加上两倍标准差的检测数据作为异常值,即式(7)所示,并加以记录;若检测指标的大小与路况水平成正比,则将该段中所有小于等于该段均值减去两倍标准差的检测数据作为异常值,即式(8)所示,并加以记录。According to step 6 to obtain the stake number information, segment the data sequence d obtained in step 2, and perform the second search for abnormal values: if the size of the detection index is inversely proportional to the road condition level, then add all the values in the segment that are greater than or equal to the mean value of the segment to The detection data of the last two standard deviations is taken as an abnormal value, which is shown in formula (7), and is recorded; if the size of the detection index is proportional to the road condition level, then subtract twice the mean value of the segment that is less than or equal to the segment The detection data of the standard deviation is regarded as an abnormal value, which is shown in formula (8), and recorded.
在式(7)和式(8)中:In formula (7) and formula (8):
xij表示数据序列d中第i分段中的第j个数据;x ij represents the j-th data in the i-th segment in the data sequence d;
表示数据序列d中第i分段中的数据的均值; Indicates the mean value of the data in the i-th segment in the data sequence d;
Si表示数据序列d中第i分段中的数据的标准差。S i represents the standard deviation of the data in the i-th segment in the data sequence d.
根据上面的方法,对数据序列d每一分段中的每一个数据进行判断,若xij满足式(7)或式(8),则被作为第二次异常值查找得到的异常值,除异常值外的其余数据为第二次异常值查找得到的正常值,将它们分别在数据序列d中加以标识。According to the above method, each data in each segment of the data sequence d is judged. If x ij satisfies formula (7) or formula (8), it will be regarded as the outlier obtained by the second outlier search, except The rest of the data except the outliers are the normal values obtained from the second outlier search, and they are respectively marked in the data sequence d.
步骤7之所以是必要的,这是因为第一次异常值查找得到的异常值只是针对步骤4得到的分段,而第二次异常值查找得到的异常值是针对步骤6得到的分段。这也意味着,对于同样的数据序列d,只要步骤4与步骤6得到的分段不同,那么进行异常值查找操作后得到的异常值就有发生变化的可能。The reason why step 7 is necessary is that the outlier value obtained in the first outlier search is only for the segment obtained in step 4, and the outlier value obtained in the second outlier search is for the segment obtained in step 6. This also means that for the same data sequence d, as long as the segments obtained in step 4 and step 6 are different, the abnormal value obtained after the abnormal value search operation may change.
步骤8:第二次合并分段:按步骤6得到的分段点的桩号信息,对步骤2得到的检测数据进行分段,排除步骤7中得到的异常值后,基于秩和检验,对步骤7得到的分段进行合并,记录合并后各分段点的桩号信息。Step 8: Merge segmentation for the second time: according to the stake number information of the segmentation point obtained in step 6, segment the detection data obtained in step 2, and exclude the outliers obtained in step 7, based on the rank sum test, the The segments obtained in step 7 are merged, and the stake number information of each segment point after the merge is recorded.
在步骤8中,秩和检验能够有效的区分出各数据的取值具有明显差异的两组样本,与双样本柯尔莫哥洛夫-斯摩洛夫Kolmogorov-Smirnov检验相比,它更关注两组样本之间的差异是否显著。根据这种性质,可以将步骤6得到的分段进一步合并。In step 8, the rank sum test can effectively distinguish two groups of samples with significant differences in the values of each data. Compared with the two-sample Kolmogorov-Smirnov Kolmogorov-Smirnov test, it pays more attention to Whether the difference between the two groups of samples is significant. According to this property, the segments obtained in step 6 can be further merged.
步骤8中的合并原理流程图如图4所示,合并原理如下所述:The flowchart of the merging principle in step 8 is shown in Figure 4, and the merging principle is as follows:
首先,令i=1,建立一个临时的空数组TA。步骤7得到由数据序列d中的正常值组成的r组数据序列,r为步骤6得到的分段数,设这r组数据序列分别为Y1,Y2….Yr-1,Yr;也可以得到由数据序列d中全部数据组成的r组数据序列,r为预分段数,设这r组数据序列分别为W1,W2….Wr-1,Wr,其中Wi应由Yi及由步骤7得到的第i段中的异常值组成。进行以下的操作:First, set i=1 to create a temporary empty array TA. Step 7 obtains r groups of data sequences composed of normal values in data sequence d, where r is the number of segments obtained in step 6, and these r groups of data sequences are respectively Y 1 , Y 2 .... Y r-1 , Y r ; It is also possible to obtain r groups of data sequences composed of all the data in data sequence d, where r is the number of pre-segments, and these r groups of data sequences are respectively W 1 , W 2 ....W r-1 , W r , where W i should be composed of Y i and the outliers in the i-th segment obtained from step 7. Do the following:
(a)初始化临时数组TA,也就是将数组TA中的全部元素清零;(a) Initialize the temporary array TA, that is, clear all elements in the array TA;
(b)将第i个数据序列Yi插入临时数组TA;(b) Insert the i-th data sequence Y i into the temporary array TA;
(c)对数组TA与第i+1个数据序列Yi+1进行显著性水平为u的秩和检验,也就是图4中的H=ranksum(TA,Yi+1,u),若两样本通过检验,则H=0,认为假设被接受,表明Yi+1与TA之间的差异并不显著;若两样本没有通过检验,则H=1,认为假设被拒绝,表明Yi+1与TA之间有显著差异;(c) Perform a rank sum test with a significance level of u on the array TA and the i+1th data sequence Y i+1 , that is, H=ranksum(TA, Y i+1 , u) in Figure 4, if If the two samples pass the test, then H=0, the hypothesis is considered accepted, indicating that the difference between Y i+1 and TA is not significant; if the two samples fail the test, then H=1, the hypothesis is considered rejected, indicating that Y i Significant difference between +1 and TA;
(d)若H=0,则将i的值加1;若此时i小于r,则返回到(b);若此时i等于r,则分段结束,整理返回的桩号信息;(d) if H=0, then add 1 to the value of i; if this moment i is less than r, then return to (b); if this moment i is equal to r, then segment ends, arranges the stake number information that returns;
(e)若H=1,则记录第i个数据序列Wi中,最后一个数据所对应的桩号ki;令i等于i+1,若此时i小于r,则返回到(a);否则分段结束,整理返回的桩号信息。(e) If H=1, then record the stake k i corresponding to the last data in the i-th data sequence W i ; make i equal to i+1, if i is smaller than r at this time, return to (a) ; Otherwise, the section ends, and the returned chainage information is sorted out.
步骤8中提到的显著性水平u是一个概率值,它决定了秩和检验的苛刻程度。一般来说,u越大,则检验越苛刻,即假设越容易被拒绝。对于普通的工程应用,u建议取0.05。The significance level u mentioned in step 8 is a probability value which determines the harshness of the rank sum test. Generally speaking, the larger u is, the harsher the test is, that is, the easier the hypothesis is to be rejected. For common engineering applications, u is recommended to be 0.05.
根据步骤8操作结束所返回的桩号信息,即可将得到的桩号信息作为分段点,对步骤2中得到的数据序列d进行再次分段,这时得到的分段就是经第二次合并后的分段。According to the chainage information returned after the operation in step 8, the obtained chainage information can be used as the segmentation point, and the data sequence d obtained in step 2 is segmented again, and the segmentation obtained at this time is the Merged segments.
步骤9:查找局部处理点:按步骤8得到的桩号信息,将步骤2得到的检测数据进行分段,查找局部处理点。Step 9: Search for local processing points: According to the stake number information obtained in step 8, segment the detection data obtained in step 2, and search for local processing points.
经步骤8得到的分段即为步骤2得到的检测数据序列d的最终分段。局部处理点也应在最终的分段中进行查找。在该步骤9中,查找局部处理点的过程是:若检测指标的大小与路况水平成反比,则将该段中所有大于等于该段均值加上两倍标准差的检测数据作为局部处理点,即采用均值加两倍标准差作为判断局部处理点的临界值,如式(9)所示,并加以记录;若检测指标的大小与路况水平成正比,则将该段中所有小于等于该段均值减去两倍标准差的检测数据作为局部处理点,即采用均值减去两倍标准差作为判断局部处理点的临界值,如式(10)所示,并加以记录。The segment obtained in step 8 is the final segment of the detection data sequence d obtained in step 2. Local processing points should also be looked up in the final segment. In this step 9, the process of finding the local processing point is: if the size of the detection index is inversely proportional to the road condition level, then all the detection data in the segment that are greater than or equal to the mean value of the segment plus twice the standard deviation are used as the local processing point, That is, the mean value plus twice the standard deviation is used as the critical value for judging the local processing point, as shown in formula (9), and it is recorded; The detection data whose mean value minus twice the standard deviation is used as the local processing point, that is, the mean value minus twice the standard deviation is used as the critical value for judging the local processing point, as shown in formula (10), and recorded.
在式(9)和式(10)中:In formula (9) and formula (10):
xij表示数据序列d中第i分段中的第j个数据;x ij represents the j-th data in the i-th segment in the data sequence d;
表示数据序列d中第i分段中的数据的均值; Indicates the mean value of the data in the i-th segment in the data sequence d;
Si表示数据序列d中第i分段中的数据的标准差。S i represents the standard deviation of the data in the i-th segment in the data sequence d.
若xij满足式(9)或式(10),则被作为需要局部处理点,将其在数据序列d中加以标识。If x ij satisfies Equation (9) or Equation (10), it is regarded as a point requiring local processing, and it is marked in the data sequence d.
步骤10:测算每种检测指标在每一分段的代表值:按步骤8得到的桩号信息,将步骤2得到的检测数据进行分段,并排除步骤9中查找的局部处理点,测算每种检测指标在每一分段的代表值。Step 10: Calculate the representative value of each detection indicator in each segment: according to the stake number information obtained in step 8, segment the detection data obtained in step 2, and exclude the local processing points found in step 9, and calculate each The representative value of each detection indicator in each segment.
由步骤9可以得到由数据序列d中的正常值,也就是排除了局部处理点后的数据序列,组成的t组数据序列,t为步骤9得到的分段数,设这t组数据序列分别为N1,N2….Nt-1,Nt,也可以得到由数据序列d中全部数据组成的t组数据序列,t为预分段数,设这t组数据序列分别为M1,M2….Mt-1,Mt,其中Mi应由Ni及由步骤9得到的第i段中的局部处理点组成。From step 9, the normal value in the data sequence d, that is, the data sequence after excluding the local processing points, can be obtained. The t group of data sequences is composed of t is the number of segments obtained in step 9. Let the t groups of data sequences be respectively N 1 , N 2 .... N t-1 , N t , and t sets of data sequences composed of all the data in the data sequence d can also be obtained, t is the number of pre-segments, and these t sets of data sequences are respectively M 1 , M 2 .... M t-1 , M t , where M i should consist of N i and the local processing points in the i-th segment obtained from step 9.
在该步骤10中,测算每种检测指标在每一分段的代表值的过程是:若检测指标的大小与路况水平成反比,则将该分段中排除了局部处理点的检测数据的均值加上一倍标准差作为代表值,如式(11)所示;若检测指标的大小与路况水平成正比,则将该分段中排除了局部处理点的检测数据的均值减去一倍标准差作为代表值,如式(12)所示。In this step 10, the process of calculating the representative value of each detection index in each segment is: if the size of the detection index is inversely proportional to the road condition level, then the mean value of the detection data excluding local processing points in this segment Add one standard deviation as the representative value, as shown in formula (11); if the size of the detection index is proportional to the road condition level, then subtract one standard deviation from the mean value of the detection data in the segment excluding local processing points The difference is taken as a representative value, as shown in formula (12).
在式(11)和式(12)中:In formula (11) and formula (12):
表示第i段中排除了局部处理点的检测数据的均值; Indicates the mean value of the detection data excluding local processing points in the i-th segment;
Si表示第i段中排除了局部处理点的检测数据的标准差;S i represents the standard deviation of the detection data excluding local processing points in the i-th paragraph;
RVi表示某指标在第i段的代表值。RV i represents the representative value of an indicator in the i segment.
采用正常值进行代表值测算,可以避免异常数据对数据整体分布情况的干扰,因为排除了异常值之后,某一分段内的数据总体上是比较平滑的,不会出现突变的情况。采用均值加减一倍标准差的方法测算代表值,是综合考虑了设计,施工的可行性得出的。Using normal values to calculate representative values can avoid the interference of abnormal data on the overall distribution of data, because after excluding abnormal values, the data in a certain segment is generally smooth and there will be no sudden changes. The representative value is measured by the method of adding and subtracting one standard deviation of the mean value, which is obtained by comprehensively considering the design and construction feasibility.
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