CN106059661B - A kind of optical transport network trend forecasting method based on Time-Series analysis - Google Patents

A kind of optical transport network trend forecasting method based on Time-Series analysis Download PDF

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CN106059661B
CN106059661B CN201510994093.9A CN201510994093A CN106059661B CN 106059661 B CN106059661 B CN 106059661B CN 201510994093 A CN201510994093 A CN 201510994093A CN 106059661 B CN106059661 B CN 106059661B
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value
time series
time
trend
model
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CN106059661A (en
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缪巍巍
吴海洋
郭波
李伟
王磊
张云翔
贾平
蒋承伶
顾斌
施健
董宇鹏
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State Grid Corp of China SGCC
NARI Group Corp
Nari Information and Communication Technology Co
Information and Telecommunication Branch of State Grid Jiangsu Electric Power Co Ltd
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State Grid Corp of China SGCC
Nari Information and Communication Technology Co
Nanjing NARI Group Corp
Information and Telecommunication Branch of State Grid Jiangsu Electric Power Co Ltd
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L41/00Arrangements for maintenance, administration or management of data switching networks, e.g. of packet switching networks
    • H04L41/06Management of faults, events, alarms or notifications
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B10/00Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
    • H04B10/07Arrangements for monitoring or testing transmission systems; Arrangements for fault measurement of transmission systems
    • H04B10/075Arrangements for monitoring or testing transmission systems; Arrangements for fault measurement of transmission systems using an in-service signal
    • H04B10/079Arrangements for monitoring or testing transmission systems; Arrangements for fault measurement of transmission systems using an in-service signal using measurements of the data signal
    • H04B10/0793Network aspects, e.g. central monitoring of transmission parameters
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B10/00Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
    • H04B10/25Arrangements specific to fibre transmission
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L43/00Arrangements for monitoring or testing data switching networks
    • H04L43/08Monitoring or testing based on specific metrics, e.g. QoS, energy consumption or environmental parameters

Abstract

The invention discloses a kind of optical transport network trend forecasting method based on Time-Series analysis, specific steps include: 1) network management performance choice of parameters.Selection is able to reflect the network management performance parameter of network operation state.2) network management performance data obtains.Specified network management performance data is obtained by the northbound interface of optical transmission device network management.3) time series is formed.Uninterrupted sampling network management performance data during the sampling period is arranged in the time series of certain performance parameter feature numerical quantity by certain time interval.4) Time Series.By the analysis to timed sample sequence, trend term, periodic term and the random entry in time series are decomposited.5) subitem predictor calculation.For three kinds of different types of decomposition items, predicted value is estimated according to respective prediction model respectively.6) final predictor calculation.According to time series addition model, final predicted value is calculated, and carries out cross validation with true value.

Description

A kind of optical transport network trend forecasting method based on Time-Series analysis
Technical field
The present invention relates to the optical transport network trend prediction model researchs based on Time-Series analysis, are based on more particularly to one kind The optical transport network trend forecasting method of Time-Series analysis.Belong to technical field of electric power communication.
Background technique
The real-time diagnosis of powerline network operating status is directly related to the safe and stable operation of electric system.With electricity Power enterprise intelligent power grid and " three collection five are big " system are pushed forward comprehensively, more and more operation of power networks control business and business administration Information service needs to be transmitted by power telecom network, so that electric system continues to increase the degree of dependence of communication network, The Single Point of Faliure of communication network may adversely affect the safety in production of electric system.
Traditional power telecom network monitor and diagnosis is mainly based upon the warning information of specialized network management system prompt, but It is unobvious for those signs, there may be the performance informations of hidden danger then to lack effective diagnostic means.With power telecom network The diagnostic means of the continuous expansion of scale and specialized network management system, original this real time monitoring and post-processing can not Meet the needs of power communication lean management.Operation maintenance personnel is communicated not only it should be understood that the current operation shape of communication network State prefers to the operation trend in awareness network future and the variation of operating status, so as to reasonably adjust communication equipment The method of operation, and can scientifically extend the maintenance intervals of communication equipment, the efficiency of communication equipment is improved to the maximum extent.
Summary of the invention
In order to solve, traditional power telecom network is unobvious to those signs, there are the performance informations of hidden danger to lack effectively This realistic problem of diagnostic means, the performance parameter for the characterization network operation state that the present invention is provided from specialized network management system Start with, based on Probability Theory and Math Statistics theory and according to Time-Series analysis basic theories and method, is become by constructing network Gesture prediction model, energy Accurate Prediction go out the operating status of communication network, to be the active maintenance mould based on equipment state overhauling Formula provides technical support.
The present invention solves the principles of science based on its technical problem:
Time series analysis (Time Series Analysis) is disclosed by the correlativity of analysis different moments variable Its structure relevant to time series and rule are grasped inside data to recognize the inherent characteristic of generation time sequential system System contacts rule with external, goes prediction and control future value from the past value of system.
If one group of random variable values, the sequence constituted is known as random sequence, with indicating.If subscript is integer variable, Increment at the time of it represents time interval, such as t moment, the t days, the t times, this random sequence is referred to as time series.
The numerical value of a certain characteristic quantity can be obtained by the time sequence of this feature numerical quantity by certain time interval arrangement Column.The time series variation of the optical transport network performance parameter monitored in reality is affected by many factors:
1) because accidental, indecisive enchancement factor influence shows its random fluctuation and scrambling.Such as Optical transport network performance parameter in monitoring process by certain random disturbances so that the tables of data of its characteristic quantity reveal certain with The fluctuation of machine.
2) become due to being made its variation show certain by certain fixed factors or period sexual factor, conclusive influence Gesture and certain regularity.When optical transport network is influenced by certain incipient fault in monitoring process, performance parameter numerical value It would generally show certain trend persistently risen or fallen.
3) it is influenced again by certain periodic service conditions in monitoring process, numerical value can show periodically again Regular fluctuation.It is influenced again by certain periodic service conditions in monitoring process, numerical value can show periodically again Regular fluctuation.
The purpose for introducing Time Series method herein is exactly want to influence characteristic quantity numerical value change by analyzing and distinguishing Factor, and analyze respectively its clock synchronization ask sequence change rule, with disclose because becoming for a long time caused by communication equipment incipient fault Gesture changing rule, and predict its future developing trend, technical support is provided to carry out communication network status maintenance.
To solve the above-mentioned problems, the technical solution used in the present invention is:
1, a kind of optical transport network trend forecasting method based on Time-Series analysis, it is characterised in that: specifically include following step It is rapid:
Step 1: network management performance choice of parameters, according to authoritative national standard and professional standard, the experimental data at scene, a large amount of Documents and materials and expert suggestion, selection is able to reflect the network management performance parameter of network operation state;
Step 2: network management performance data obtains, and obtains specified network management performance by the northbound interface of optical transmission device network management Data;
Step 3: time series is formed, during the sampling period uninterrupted sampling network management performance data, by between the regular hour Every the time series for being arranged in certain performance parameter feature numerical quantity;
Step 4: Time Series, by the analysis to timed sample sequence, decomposite trend term in time series, Periodic term and random entry;
Step 5: subitem predictor calculation is distinguished for three kinds of different types of decomposition items according to respective prediction model Estimate predicted value, trend term decomposes to obtain by sliding average algorithm, and periodic term is calculated by multicycle superposed average method, then The prediction of subsequent cycle data is carried out using continuation method, random entry obtains the prediction number of random entry using ARMA (p, g) model According to;
Step 6: final predictor calculation calculates final predicted value, and and true value according to time series addition model Carry out cross validation.
A kind of optical transport network trend forecasting method based on Time-Series analysis above-mentioned, it is characterised in that: in step 1, It include that background block misses on the influential performance parameter of the quality of service of communication network operating status and carrying in optical transmission device Code, errored block, errored seconds, the bit error rate, unavailable second, Severely Errored Second, continuius severely errored second, FEC corrected bytes count, Frame count that FEC cannot be corrected, CRC check mistake, Pointer Justification Count, Protection Switching Count PSC, operating temperature, input optical power, Output optical power, laser bias current, wherein the bit error rate and optical power are measure communication network signal transmission quality important Index.
A kind of optical transport network trend forecasting method based on Time-Series analysis above-mentioned, it is characterised in that: in step 3, The formation of time series: setting one group of random variable values, and the sequence constituted is known as random sequence, uses Xt(t=1,2...n) table Show, if subscript is integer variable, increment at the time of it represents time interval, such as t moment, the t days, the t times claim this Random sequence is time series.
A kind of optical transport network trend forecasting method based on Time-Series analysis above-mentioned, it is characterised in that: in step 4, when Between the detailed analysis process decomposed of sequence: according to modern Practical Statistic correlation theory, any time sequence is by reasonable letter Transformation of variables, also regarded as by trend term, periodic term, random entry three parts are formed by stacking, the optical transport monitored in reality The time series variation of network performance parameter is affected by many factors:
1) because accidental, indecisive enchancement factor influence shows its random fluctuation and scrambling, light is passed Defeated network performance parameter is in monitoring process by certain random disturbances, so as to reveal certain random for the tables of data of its characteristic quantity Fluctuation;
2) due to being influenced that its variation is made to show certain regularity by certain period sexual factors, in monitoring process It is influenced again by certain periodic service conditions, numerical value can show periodic regular fluctuation;
3) due to being influenced by certain fixed factors, time series is in certain trend, when optical transport in monitoring process When network is influenced by certain incipient fault, what performance parameter numerical value would generally show that certain persistently rises or falls becomes Gesture;
According to influence communication network status monitoring quantity time series factor, the variation of time series substantially can be analyzed to Lower three kinds of forms:
(1) tendency fluctuation: refer to that phenomenon is influenced to change over time towards certain orientation by fixed factor and show continually and steadily Ground up and down or stable trend;
(2) cyclical variations: refer to that phenomenon is influenced the cyclic fluctuation shown by certain fixed cycle by period sexual factor, together Sample, cyclical swing, which is also due to certain factors, causes data that cyclic fluctuation is presented;
(3) random fluctuation: refer to the irregular fluctuation that phenomenon is influenced by accidentalia and is shown;
The top priority of time series analysis be by analyzing collected performance parameter, will be in time series Trend term, periodic term and random entry, which decomposite, to be come, and establishes different regression models respectively to three kinds of different type items of decomposition, and Estimated by own intellectual energy supplemental characteristic, it is final to realize the trend prediction based on time series.
A kind of optical transport network trend forecasting method based on Time-Series analysis above-mentioned, it is characterised in that: right in step 5 It is predicted in trend term, is estimated using multiple linear regression model and predicted, the general type of multiple linear regression model are as follows:
Y=μ01x1+…+μmxm+ε (2)
Wherein μ01......μmIt is m+1 unknown parameter, referred to as regression coefficient, y is known as explained variable, and x1, x2......xmIt is the general variances that m is collected, i.e. explanatory variable, as m=1, as Linear Regression Model in One Unknown;m≥ It is then multiple linear regression model when 2, ε indicates random error;
For the N group monitoring data that we obtain, i-th group can be indicated are as follows: yi=xi1, xi2.....xim, wherein i=1, 2,3 ... n, then linear regression model (LRM) may be expressed as:
Since there are residual error e between actual value and estimated valuei=yi-(μ01xi1+…+μmximi), utilize least square The estimation technique improves the precision of estimated value so that the quadratic sum of residual error is minimum:
Σei 2=Σ (yi-(μ01xi1+…+μmximi))2 (4)
Its necessary condition are as follows:
It is computed, formula (4) can convert are as follows:
To the deviation of estimated value estimated value and actual value be therefore,By left and right simultaneously multiplied by x ', can be obtainedAnd x ' e=0, Therefore:
Estimated value is calculated according to collected performance parameter sampleAnd verified by actual value, to obtain Final regression equation:
Due toIt is the unbiased esti-mator of E (y), thus it is availableAs final predicted value.
A kind of optical transport network trend forecasting method based on Time-Series analysis above-mentioned, it is characterised in that: right in step 5 Periodic term StIt is decomposed, the data point on same phase just constitutes sequence.
If periodic term sequence is { T (t), t=1,2 ... N }, the data point of cycle T=h, same phase constitutes same row, Then former sequence can transform to following matrix:
Above-mentioned matrix (8) is split into the subsequence of h out of phase, by column vector so as to complete the weight in the period Structure models each subsequence, by changing rule of the simulation same phase in different cycles, can predict this phase Data value of the position in next period, so that multi-step prediction is converted into Single-step Prediction, periodic term is obtained by Single moving average method It arrives, i.e. multicycle observed value superposed average, using this mean value as the predicted value of next phase.
A kind of optical transport network trend forecasting method based on Time-Series analysis above-mentioned, it is characterised in that: in step 5, with The prediction of machine item, is modeled and is predicted using the Time Series Analysis Method of autoregressive moving-average model, using autoregressive moving average Model abbreviation arma modeling, ARMA, as long as determining limited parameter, can determine model as limited parameter model completely, benefit The predicted value of random entry subsequent time is calculated with arma modeling mainly according to the p history value and q error before its t moment Value is linearly calculated, and ARMA (p, g) model specifically can be described as:
V (t+1) is the predicted value of subsequent time random entry in formula (9),Be undetermined coefficient not equal to zero with θ, p and Q is respectively arma modeling Autoregressive and moving average order;V (t+1-i) is the random entry measured value before t moment, ε (t + 1-j) be t moment before random entry predict error term, therefore, in random entry prediction model most importantly determine model parameter p With the value of order q,
For the value of order q, there is nearly 95% numerical value to all fall within 2 after the auto-correlation coefficient of time series is in certain d rank Within the scope of times standard deviation, and the wave process for decaying to small value of auto-correlation coefficient, then it is believed that model order d value thus,
The value of model parameter p is estimated using least square regression, obtained residual by acquiring N number of sample data Difference are as follows:
Wherein, actual value when p=1,2 ..., N, V (t+1) are t+1, residual error e are the deviation of actual value and predicted value, N is sample size, and according to the least square regression that formula (4) trend term is predicted, its solution, which can be obtained, is
After the value of model parameter p and order q determines, then random entry is predicted according to historical data.
A kind of optical transport network trend forecasting method based on Time-Series analysis above-mentioned, it is characterised in that: step 6: final Predictor calculation is independent from each other due to influencing the factor of performance parameter characteristic quantity of communications network monitors, obtains Premeasuring should be the sum of three kinds of factors influences, and the addition model of time series analysis can be used:
Xt=Mt+St+It (1)
Wherein: XtFor primitive data item, MtFor trend term, StFor periodic term, and meet St+d=St,D is indicated Time interval number, ItFor random entry.
A kind of optical transport network trend forecasting method based on Time-Series analysis above-mentioned, it is characterised in that: to being calculated Least-squares linear regression estimated valueCarry out it is necessary inspection and evaluation, that is, examine in aggregate level dependent variable and from It whether there is linear relationship between variable, specifically include: the measurement of regression equation fitting degree, standard error estimate, recurrence side The hypothesis testing of journey, the hypothesis testing of regression coefficient and multicollinearity differentiate.
Advantageous effects of the invention: the present invention is based on the optical transport network trend forecasting method of Time-Series analysis, it can Technical support and judgment basis are provided for communication network status maintenance.According to time series analysis theory, from professional equipment network management The performance parameter of provided characterization network operation state is started with, and based on Probability Theory and Math Statistics theory, establishes base In the network performance characteristic quantity trend prediction model that time series variation decomposes, and pass through the performance parameter data pair of actual acquisition Decomposition model and algorithm are verified.The method of the present invention can find the Hidden fault of communication equipment in advance, reduce logical Believe equipment repair and maintenance expense, improves communication network safety in operation and reliability.
Detailed description of the invention
Fig. 1 is trend prediction model algorithm flow chart.
Fig. 2 is raw data plot figure.
Fig. 3 is prediction data figure compared with truthful data.
Specific embodiment
The invention will be further described below in conjunction with the accompanying drawings.Following embodiment is only used for clearly illustrating the present invention Technical solution, and not intended to limit the protection scope of the present invention.
As shown in Figure 1, a kind of optical transport network trend forecasting method based on Time-Series analysis, it is characterised in that: specific packet Include following steps:
Step 1: network management performance choice of parameters, according to authoritative national standard and professional standard, the experimental data at scene, a large amount of Documents and materials and expert suggestion, selection is able to reflect the network management performance parameter of network operation state.
Step 2: network management performance data obtains, and obtains specified network management performance by the northbound interface of optical transmission device network management Data;
Step 3: time series is formed, during the sampling period uninterrupted sampling network management performance data, by between the regular hour Every the time series for being arranged in certain performance parameter feature numerical quantity;
Step 4: Time Series, by the analysis to timed sample sequence, decomposite trend term in time series, Periodic term and random entry;
Step 5: subitem predictor calculation is distinguished for three kinds of different types of decomposition items according to respective prediction model Estimate predicted value, trend term decomposes to obtain by sliding average algorithm, and periodic term is calculated by multicycle superposed average method, then The prediction of subsequent cycle data is carried out using continuation method, random entry obtains the prediction number of random entry using ARMA (p, g) model According to;
Step 6: final predictor calculation calculates final predicted value, and and true value according to time series addition model Carry out cross validation.
Reckoning result of the present invention to trend prediction model:
According to influence communication network status monitoring quantity time series factor, the variation of time series substantially can be analyzed to Lower three kinds of forms:
(1) tendency fluctuation: refer to that phenomenon is influenced to change over time towards certain orientation by fixed factor and show continually and steadily Ground up and down or stable trend.
(2) cyclical variations: refer to that phenomenon is influenced the cyclic fluctuation shown by certain fixed cycle by period sexual factor.Together Sample, cyclical swing, which is also due to certain factors, causes data that cyclic fluctuation is presented.
(3) random fluctuation: refer to the irregular fluctuation that phenomenon is influenced by accidentalia and is shown.
The top priority of time series analysis be by analyzing collected performance parameter, will be in time series Trend term, periodic term and random entry, which decomposite, to be come.Different regression models is established respectively to three kinds of different type items of decomposition, and Estimated by own intellectual energy supplemental characteristic, it is final to realize the trend prediction based on time series.
Which kind of specifically mainly taken using the Fluctuation or variation feature of each factor in method analysis and evaluation and test time series Certainly in the hypothesis to correlation between three kinds of variables.There are mainly two types of add for the relationship of each variable of usual time series Method relationship and multiplication relationship, form addition model or multiplied model accordingly.
Factor due to influencing the performance parameter characteristic quantity of communications network monitors is independent from each other, and is obtained pre- Measurement should be the sum of three kinds of factors influences, and the addition model of time series analysis can be used:
Xt=Mt+St+It (1)
Wherein: XtFor primitive data item, MtFor trend term, StFor periodic term, and meet St+d=St,ItFor with Machine item.
1) trend term prediction model
For trend term, multiple linear regression model usually can be used and estimated and predicted.Multiple linear regression model General type are as follows:
Y=μ01x1+…+μmxm+ε (2)
Wherein μ01......μmIt is m+1 unknown parameter, referred to as regression coefficient, y is known as explained variable, and x1, x2......xmIt is the m general variances collected, i.e. explanatory variable.As m=1, as Linear Regression Model in One Unknown;m≥ It is then multiple linear regression model when 2, ε indicates random error.
For the N group monitoring data that we obtain, i-th group can be indicated are as follows: yi=xi1, xi2.....xim, wherein i=1, 2,3 ... n, then linear regression model (LRM) may be expressed as:
Since there are residual error e between actual value and estimated valuei=yi-(μ01xi1+…+μmximi), utilize least square The estimation technique improves the precision of estimated value so that the quadratic sum of residual error is minimum:
Σei 2=Σ (yi-(μ01xi1+…+μmximi))2 (4)
Its necessary condition are as follows:
It is computed, formula (4) can convert are as follows:
To the deviation of estimated value estimated value and actual value be therefore,By left and right simultaneously multiplied by x ', can be obtainedAnd x ' e=0, therefore:
To the least-squares linear regression estimated value being calculatedNecessary inspection and evaluation are carried out, that is, is examined total In body level, it whether there is linear relationship between dependent variable and independent variable, specifically include: the measurement of regression equation fitting degree, Standard error estimate, the hypothesis testing of regression equation, the hypothesis testing of regression coefficient and multicollinearity differentiation etc..
Estimated value is calculated according to collected performance parameter sampleAnd verified by actual value, to obtain Final regression equation:
Due toIt is the unbiased esti-mator of E (y), thus it is availableAs final predicted value.
2) periodic term prediction model
Periodic term has mechanical periodicity feature, and regular repetition, therefore, same phase are constantly done within certain time On point can be in the variation up and down nearby of a specific value.To periodic term StIt is decomposed, the data point on same phase is just Constitute sequence.
If periodic term sequence is { T (t), t=1,2 ... N }, the data point of cycle T=h, same phase constitutes same row, Then former sequence can transform to following matrix:
Above-mentioned matrix (8) is split into the subsequence of h out of phase, by column vector so as to complete the weight in the period Structure.Each subsequence is modeled, by changing rule of the simulation same phase in different cycles, this phase can be predicted Data value of the position in next period, so that multi-step prediction is converted into Single-step Prediction.
3) random entry prediction model
In time series other than trend term and periodic term, it is also possible to there are certain equilibrium fluctuations, this time sequence Column are usually stationary sequence.For stationary sequence, autoregressive moving-average model (Auto-Regressive and can be used Moving Average Model, abbreviation arma modeling) Time Series Analysis Method model and predict.ARMA is as limited parameter Model can determine model as long as determining limited parameter completely.The pre- of random entry subsequent time is calculated using arma modeling Measured value mainly according to before its t moment p history value and q error amount be linearly calculated.ARMA (p, g) model specifically may be used Description are as follows:
V (t+1) is the predicted value of subsequent time random entry in formula (9),With the undetermined coefficient that θ is not equal to zero, p and q Respectively arma modeling Autoregressive and moving average order;V (t+1-i) is the random entry measured value before t moment, ε (t+ 1-j) error term is predicted for the random entry before t moment.Therefore, model parameter p is most importantly determined in random entry prediction model With the value of order q.
For the value of order q, there is nearly 95% numerical value to all fall within 2 after the auto-correlation coefficient of time series is in certain d rank Within the scope of times standard deviation, and the wave process for decaying to small value of auto-correlation coefficient, then it is believed that model order d value thus.
The value of model parameter p is estimated using least square regression, obtained residual by acquiring N number of sample data Difference are as follows:
Wherein, actual value when p=1,2 ..., N, V (t+1) are t+1, residual error e are the deviation of actual value and predicted value, N is sample size.According to the least square regression that formula (4) trend term is predicted, its solution, which can be obtained, is
After the value of model parameter p and order q determines, then random entry can be predicted according to historical data.
It is bent that initial data is generated below with reference to trend prediction model algorithm flow chart (such as Fig. 1) based on present invention implementation Line chart (such as Fig. 2), final obtain are coincide preferable prediction model prediction data figure (such as figure with truthful data compared with truthful data 3) this method is described:
1, network management performance choice of parameters
In optical transmission device, include on the influential performance parameter of the quality of service of communication network operating status and carrying Background Block Error, errored block, errored seconds, the bit error rate, unavailable second, Severely Errored Second, continuius severely errored second, FEC correction word Frame count, CRC check mistake, Pointer Justification Count, the Protection Switching Count PSC, operating temperature, input that section counts, FEC cannot be corrected Optical power, Output optical power, laser bias current etc..Wherein, the bit error rate and optical power are to measure communication network signal transmission The important indicator of quality.
2, network management performance data obtains
This section is by taking the optical power sending value of certain actual electric power saving communication network optical transmission device as an example, the period one Characteristic value in year, collection period are 24 hours, obtain 365 groups of data altogether.Raw data plot figure is shown in Fig. 2.
3, the prediction model based on time series calculates
Trend prediction algorithm based on time series, using time series forecasting, steps are as follows:
1) trend term decomposes to obtain by sliding average algorithm, then carries out multinomial least square regression and obtain trend term Prediction data, wherein order selects 8 times.
2) periodic term is obtained by multicycle superposed average, reuses the prediction that continuation method carries out subsequent cycle data.
3) random entry reuses ARMA (p, g) model (autoregressive moving-average model) and obtains random entry by obtaining Prediction data.
4) by time series addition model, final predicted value is obtained.And prediction technique is verified by cross validation Accuracy.
4, cross validation is carried out with true value
As seen from Figure 3, anticipation trend and the actual monitoring trend goodness of fit are higher, have preferable practicability.
Basic principles and main features and advantage of the invention have been shown and described above.The technical staff of the industry should Understand, the present invention is not limited to the above embodiments, and the above embodiments and description only describe originals of the invention Reason, without departing from the spirit and scope of the present invention, various changes and improvements may be made to the invention, these changes and improvements It all fall within the protetion scope of the claimed invention.The claimed scope of the invention is by appended claims and its equivalent circle It is fixed.

Claims (6)

1. a kind of optical transport network trend forecasting method based on Time-Series analysis, it is characterised in that: specifically includes the following steps:
Step 1: network management performance choice of parameters, selection are able to reflect the network management performance parameter of network operation state;
Step 2: network management performance data obtains, and obtains specified network management performance number by the northbound interface of optical transmission device network management According to;
Step 3: time series is formed, during the sampling period uninterrupted sampling network management performance data, is arranged by certain time interval Arrange into the time series of certain performance parameter feature numerical quantity;
Step 4: Time Series decomposite trend term in time series, period by the analysis to timed sample sequence Item and random entry;
Step 5: subitem predictor calculation is estimated for three kinds of different types of decomposition items according to respective prediction model respectively Predicted value, trend term decompose to obtain by sliding average algorithm, and periodic term is calculated by multicycle superposed average method, reuse Continuation method carries out the prediction of subsequent cycle data, and random entry obtains the prediction data of random entry using ARMA (p, g) model, walks In rapid 5, trend term is predicted, is estimated using multiple linear regression model and is predicted, the one of multiple linear regression model As form are as follows:
Y=μ01x1+…+μmxm+ε (2)
Wherein μ01......μmIt is m+1 unknown parameter, referred to as regression coefficient, y is known as explained variable, and x1, x2......xmIt is the general variances that m is collected, i.e. explanatory variable, as m=1, as Linear Regression Model in One Unknown;m≥ It is then multiple linear regression model when 2, ε indicates random error;
For the N group monitoring data that we obtain, i-th group can be indicated are as follows: yi=xi1, xi2.....xim, wherein i=1,2, 3 ... n, then linear regression model (LRM) may be expressed as:
Since there are residual error e between actual value and estimated valuei=yi-(μ01xi1+…+μmximi), utilize least-squares estimation Method improves the precision of estimated value so that the quadratic sum of residual error is minimum:
∑ei 2=∑ (yi-(μ01xi1+…+μmximi))2 (4)
Its necessary condition are as follows:
It is computed, formula (4) can convert are as follows:
To estimated valueThe deviation of estimated value and actual value isTherefore,By left and right simultaneously multiplied by x ', can be obtainedAnd x ' e=0, therefore:
Estimated value is calculated according to collected performance parameter sampleAnd verified by actual value, to obtain final Regression equation:
Due toIt is the unbiased esti-mator of E (y), thus it is availableAs final predicted value;To periodic term StIt is decomposed, it is identical Data point in phase just constitutes sequence,
If periodic term sequence is { T (t), t=1,2 ... N }, the data point of cycle T=h, same phase constitutes same row, then former Sequence can transform to following matrix:
Above-mentioned matrix (8) is split by column vector the subsequence of h out of phase, it is right so as to complete the reconstruct in the period Each subsequence is modeled, and by changing rule of the simulation same phase in different cycles, can be predicted this phase and be existed The data value in next period, so that multi-step prediction is converted into Single-step Prediction, periodic term is obtained by Single moving average method, i.e., Multicycle observed value superposed average, using this mean value as the predicted value of next phase;
Random entry prediction, is modeled and is predicted using the Time Series Analysis Method of autoregressive moving-average model, sliding using autoregression Dynamic averaging model abbreviation arma modeling, ARMA, as long as determining limited parameter, can determine mould as limited parameter model completely Type calculates the predicted value of random entry subsequent time using arma modeling mainly according to the p history value and q before its t moment A error amount is linearly calculated, and ARMA (p, g) model specifically can be described as:
V (t+1) is the predicted value of subsequent time random entry in formula (9),With the undetermined coefficient that θ is not equal to zero, p and q difference For arma modeling Autoregressive and moving average order;V (t+1-i) is the random entry measured value before t moment, ε (t+1-j) Error term is predicted for the random entry before t moment, therefore, model parameter p and rank is most importantly determined in random entry prediction model The value of secondary q,
For the value of order q, there is nearly 95% numerical value to all fall within 2 times of marks after the auto-correlation coefficient of time series is in certain d rank In quasi- difference range, and the wave process for decaying to small value of auto-correlation coefficient, then it is believed that model order d value thus,
The value of model parameter p is estimated using least square regression by acquiring N number of sample data, obtains residual values Are as follows:
Wherein, actual value when p=1,2 ..., N, V (t+1) are t+1, residual error e are the deviation of actual value and predicted value, and N is Sample size, according to the least square regression that formula (4) trend term is predicted, its solution, which can be obtained, is
After the value of model parameter p and order q determines, then random entry is predicted according to historical data;
Step 6: final predictor calculation calculates final predicted value according to time series addition model, and carries out with true value Cross validation.
2. a kind of optical transport network trend forecasting method based on Time-Series analysis according to claim 1, it is characterised in that: In step 1, in optical transmission device, performance parameter packet influential on the quality of service of communication network operating status and carrying Background Block Error, errored block, errored seconds, the bit error rate, unavailable second, Severely Errored Second, continuius severely errored second, FEC is included to correct It is frame count that byte count, FEC cannot be corrected, CRC check mistake, Pointer Justification Count, Protection Switching Count PSC, operating temperature, defeated Optical power, Output optical power, laser bias current, wherein the bit error rate and optical power are to measure communication network signal transmission The important indicator of quality.
3. a kind of optical transport network trend forecasting method based on Time-Series analysis according to claim 2, it is characterised in that: In step 3, the formation of time series: setting one group of random variable values, and the sequence constituted is known as random sequence, uses Xt(t=1, 2...n it) indicates, subscript t is integer variable, increment at the time of it represents time interval.
4. a kind of optical transport network trend forecasting method based on Time-Series analysis according to claim 3, it is characterised in that: In step 4, the detailed analysis process of Time Series: according to modern Practical Statistic correlation theory, any time sequence warp Reasonable functional transformation is crossed, also regarded as by trend term, periodic term, random entry three parts are formed by stacking, and are monitored in reality To the time series variation of optical transport network performance parameter be affected by many factors:
1) because accidental, indecisive enchancement factor influence shows its random fluctuation and scrambling, Optical Transmission Network OTN Network performance parameter is in monitoring process by certain random disturbances, so that the tables of data of its characteristic quantity reveals certain random wave It is dynamic;
2) due to being influenced that its variation is made to show certain regularity by certain period sexual factors, in monitoring process again by It is influenced to certain periodic service conditions, numerical value can show periodic regular fluctuation;
3) due to being influenced by certain fixed factors, time series is in certain trend, when optical transport network in monitoring process When being influenced by certain incipient fault, performance parameter numerical value would generally show certain trend persistently risen or fallen;
According to the factor for influencing communication network status monitoring quantity time series, the variation of time series substantially can be analyzed to following three Kind form:
(1) tendency fluctuation: refer to that phenomenon is influenced to change over time towards certain orientation by fixed factor and show continual and steady ground Liter, decline or stable trend;
(2) cyclical variations: referring to that phenomenon is influenced the cyclic fluctuation shown by certain fixed cycle by period sexual factor, equally, week Phase variation, which is also due to certain factors, causes data that cyclic fluctuation is presented;
(3) random fluctuation: refer to the irregular fluctuation that phenomenon is influenced by accidentalia and is shown;
The top priority of time series analysis is by analyzing collected performance parameter, by the trend in time series Item, periodic term and random entry, which decomposite, to be come, and establishes different regression models respectively to three kinds of different type items of decomposition, and pass through Own intellectual energy supplemental characteristic is estimated, final to realize the trend prediction based on time series.
5. a kind of optical transport network trend forecasting method based on Time-Series analysis according to claim 4, it is characterised in that: Step 6: final predictor calculation is independent from each other due to influencing the factor of performance parameter characteristic quantity of communications network monitors, Therefore the premeasuring obtained should be the sum of three kinds of factors influences, and the addition model of time series analysis can be used:
Xt=Mt+St+It (1)
Wherein: XtFor primitive data item, MtFor trend term, StFor periodic term, and meet St+d=St,D was indicated between the time Every number, ItFor random entry.
6. a kind of optical transport network trend forecasting method based on Time-Series analysis according to claim 1, it is characterised in that: To the least-squares linear regression estimated value being calculatedNecessary inspection and evaluation are carried out, that is, is examined in aggregate level It whether there is linear relationship between dependent variable and independent variable, specifically include: the measurement of regression equation fitting degree, standard error of estimate Difference, the hypothesis testing of regression equation, the hypothesis testing of regression coefficient and multicollinearity differentiate.
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