CN105704335B - Predictive outbound algorithm, interchanger dialing method and device based on dynamic statistics process - Google Patents
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- H—ELECTRICITY
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Abstract
本发明涉及一种基于动态统计过程的预测式外呼算法、交换机拨打方法及装置,本发明的装置包括数据输入模块、预测式外呼算法模块、交换机、动态统计模块、数据存储模块和数据输出显示模块,数据输入模块向预测试外呼算法模块输入初始化参数数据,预测试外呼算法模块与交换机相连,进行信息交互,动态统计模块与数据存储模块相连,接收数据存储模块的数据,动态统计模块统计不同频率的统计数据并传输给预测试外呼算法模块,同时通过数据输出界面进行数据显示。本发明根据拨打电话的历史数据进行统计和预测,动态的决定下一刻应该拨打的电话数,在尽可能不超过目标电话呼损率的同时提高坐席利用率,达到优化平衡并完全取代人工拨号。
The invention relates to a predictive outbound call algorithm based on a dynamic statistical process, a switch dialing method and a device. The device of the invention includes a data input module, a predictive outbound call algorithm module, a switch, a dynamic statistical module, a data storage module and a data output The display module and the data input module input initialization parameter data to the pre-test outbound algorithm module, the pre-test outbound algorithm module is connected to the switch for information interaction, the dynamic statistics module is connected to the data storage module, receives data from the data storage module, and performs dynamic statistics The module counts statistical data of different frequencies and transmits them to the pre-test outbound algorithm module, and at the same time displays the data through the data output interface. The invention makes statistics and predictions based on the historical data of dialed calls, dynamically determines the number of calls to be dialed at the next moment, improves the utilization rate of seats while not exceeding the target call loss rate as much as possible, achieves an optimal balance and completely replaces manual dialing.
Description
技术领域technical field
本发明涉及电话外呼技术领域,具体涉及一种基于动态统计过程的预测式外呼算法、交换机拨打方法及装置。利用了统计学、数据挖掘、排队论、马尔可夫链、生灭论以及算法设计与分析等技术,尤其是实时资源分配调度和反馈控制优化的技术。The invention relates to the technical field of telephone outgoing calls, in particular to a predictive outgoing call algorithm based on a dynamic statistical process, an exchange dialing method and a device. Statistics, data mining, queuing theory, Markov chain, birth and death theory, and algorithm design and analysis technologies are used, especially the technologies of real-time resource allocation scheduling and feedback control optimization.
背景技术Background technique
呼叫中心可分为呼入型和呼出型两种。呼入型呼叫中心提供的是被动式的服务,而呼出型呼叫中心提供了主动为客户服务的一种方式,为企业开展市场营销、问卷调查等业务提供一种高效的方式。随着计算机和通信技术的发展,基于传统技术的呼叫中心系统已经难以满足市场变化需求,自动外呼由此而生,自动外呼系统主动发起呼叫,将无法接通的客户过滤,将成功连接的客户分配至空闲客服,从而提高客服人员的利用率。Call centers can be divided into two types: inbound and outbound. The inbound call center provides passive services, while the outbound call center provides a way to actively serve customers, and provides an efficient way for enterprises to carry out marketing, questionnaires and other businesses. With the development of computer and communication technology, the call center system based on traditional technology has been difficult to meet the changing needs of the market, so automatic outbound calls are born. The automatic outbound call system actively initiates calls, filters out unreachable customers and successfully of customers are assigned to idle customer service personnel, thereby improving the utilization rate of customer service personnel.
现有的外呼算法主要有三类:经验外呼预测算法,积分模型算法和队列理论在预测算法中的应用。There are three main types of existing outbound call algorithms: empirical outbound call prediction algorithms, integral model algorithms and the application of queue theory in prediction algorithms.
经验外呼预测算法是通过对近期的外拨结果对反馈率值进行动态调节,调节外呼调整参数(超速外拨时>1,减速外拨时<1),使算法的适应能力变强。缺点是平均闲置时长分布不稳定,呼损不能得到较好的控制。The empirical outbound call prediction algorithm dynamically adjusts the feedback rate value based on the recent outbound call results, and adjusts outbound call adjustment parameters (>1 for overspeed outbound calls, <1 for decelerated outbound calls), so that the adaptability of the algorithm becomes stronger. The disadvantage is that the distribution of the average idle time is unstable, and the call loss cannot be well controlled.
积分模型算法首先考查呼叫的接续时序分布情况:接通率分布V(t),拆线率分布F(t),则有再考查通话时长的时序序列:通话时长分布h(t),满足则通话时长大于时间t的概率,H(O)=l,H(+∞)=0。假设系统呼出序列C(t),则在t时刻的接入呼叫数,在t时该的当前通话呼叫数,表示当前正在通话的呼叫数,包括己经与话务员通话的呼叫和用户己经摘机未分配到话务员在等待的呼叫。若要求呼出用户摘机后的即时接通率为g,即呼出用户摘机后有空闲坐席的呼叫比率,则就有N(t)*g<A,同时为充分利用坐席资源,又有N(t)≥A,A为当前注册的坐席数。即从上面可以得到:A≤N(t)<A/g。从此约束条件可以计算出系统的呼出时间序列C(t)。按照此呼出预测算法可以能够根据历史呼叫的结果即以往的呼叫时间序列及当前系统资源情况,进行自反馈学习,动态地调整后续的呼出。虽然如上算法着实可行,且在实际应用中起到了很大的作用,但经分析发现仍有值得改进的地方,比如周期T内平均分成n批是最佳选择吗,平均处理时间算L/2是真实情况还是理想状况呢,是一成不变还是有波动呢,波动多少呢?或者是当前状况异常会不会影响下一刻的预测呢,稳定性如何呢?The integral model algorithm first examines the distribution of the connection sequence of calls: the connection rate distribution V(t), the disconnection rate distribution F(t), then there is Then examine the timing sequence of the call duration: the call duration distribution h(t), satisfying Then the probability that the call duration is longer than time t, H(O)=1, H(+∞)=0. Assuming that the system calls out the sequence C(t), the number of incoming calls at time t and the number of current calls at time t represent the number of calls that are currently in conversation, including calls that have already talked to the operator and calls that have been picked up by the user. The machine is not assigned to a call that the operator is waiting on. If it is required that the instant connection rate of the outgoing user after off-hook is g, that is, the call rate of the free agent after the outgoing user is off-hook, then there is N(t)*g<A, and at the same time, in order to fully utilize the agent resources, there is N (t)≥A, where A is the number of currently registered seats. That is, it can be obtained from the above: A≤N(t)<A/g. From this constraint, the exhalation time series C(t) of the system can be calculated. According to this outgoing call prediction algorithm, it is possible to perform self-feedback learning and dynamically adjust subsequent outgoing calls according to the results of historical calls, that is, past call time series and current system resource conditions. Although the above algorithm is indeed feasible and has played a great role in practical applications, it is found through analysis that there are still areas worthy of improvement. For example, is it the best choice to divide it into n batches on average in the period T? The average processing time is L/2 Is it a real situation or an ideal situation, is it static or fluctuating, and how much is it fluctuating? Or will the abnormality of the current situation affect the prediction of the next moment, and how stable is it?
队列理论在预测算法中的应用:队列理论(queuing theory)最早被A.K.埃尔朗在解决自动电话设计问题时引进。将预测算法总结为要解决两个相关的问题:1、在最大化坐席繁忙因子(坐席利用率)的情况下,不让呼损率大于一个可以接受的最大值ARmax。2、在尽量降低呼损率的情况下,不让坐席繁忙因子小于一个可以接受的最小水平Umin。算法就是满足以上的两个条件产生当前因该呼叫的个数N。该算法能够收集或接收系统相关的一些参数:坐席的总个数m、打进电话到达率p、平均的服务时间T、击中率ρ。该算法假设呼出流服从参数λ的泊松分布;服务时间在该系统中为服从参数μ的一般分布。在该预测算法中,将呼出流的分布定为泊松分布,即相邻拨出的两次电话之间的时间就服从指数分布。这与现实情况下的现象有很大的出入。另外,服务时间服从一般分布,在研究中发现,服务的时间会集中在两个阶段,一个是3-10s,另一个140-160s之间,并不是一个标准的一般分布,这将造成该模型的计算结果的偏差较大。另外,该算法没有将目前坐席的状态加入到考虑中,这就将会造成在突然所有坐席都占线的情况下,任然按原数据计算个数进行呼叫,直到平均时间T被重新得到计算(需要很长时间),因此就会产生一段很长时间动荡。对于一段时间服务时间突然减少的情况,也会造成坐席利用率突然变小的动荡。Application of queuing theory in predictive algorithms: queuing theory was first introduced by A.K. Erlang when he solved the problem of automatic telephone design. The prediction algorithm is summarized as solving two related problems: 1. In the case of maximizing the agent busy factor (agent utilization rate), the call loss rate is not allowed to exceed an acceptable maximum value ARmax. 2. In the case of reducing the call loss rate as much as possible, the agent busy factor should not be lower than an acceptable minimum level Umin. The algorithm is to meet the above two conditions to generate the current number N of the calls. The algorithm can collect or receive some parameters related to the system: the total number of agents m, the arrival rate of incoming calls p, the average service time T, and the hit rate ρ. The algorithm assumes that the outgoing flow obeys the Poisson distribution of parameter λ; the service time in this system obeys the general distribution of parameter μ. In this forecasting algorithm, the distribution of outgoing calls is defined as Poisson distribution, that is, the time between two adjacent dialed out calls obeys the exponential distribution. This is very different from the phenomenon in reality. In addition, the service time obeys the general distribution. It is found in the research that the service time will be concentrated in two stages, one is 3-10s, and the other is between 140-160s. It is not a standard general distribution, which will cause the model The calculation results have a large deviation. In addition, the algorithm does not take the current state of the agent into consideration, which will cause calls to be made according to the number of original data calculations when all the agents are suddenly busy, until the average time T is recalculated ( takes a long time), so there will be a long period of turmoil. In the case of a sudden decrease in service time for a period of time, it will also cause fluctuations in the sudden decrease in seat utilization.
由以上分析可见,现有的预测式外呼算法大都和动态统计部分耦合在一起,甚至没有动态统计部分。而预测式外呼算法的最重要决定因素是动态统计部分,现有的外呼算法有一部分是使用理论公式计算得到,要求事先建立一种数学模型,之后的参数值都是通过理论公式计算所得;虽然这种方法不用或很少访问数据库,但是建立模型比较固定,对于有的业务,这种模型不再成立,或者说这种模型的适应性较差。现有的外呼算法也有一部分是通过动态统计来实现的,但是这种方法要大量的访问历史数据进行机器学习,训练数据或者是神经网络等等,这种方法频繁地访问数据库而且需要大量的数据,浪费很多时间,造成性能下降,而且在初始时没有大量数据时很难进行合理的预测。It can be seen from the above analysis that most of the existing predictive outbound algorithms are coupled with the dynamic statistics part, or even have no dynamic statistics part. The most important determinant of the predictive outbound algorithm is the dynamic statistics part. Some of the existing outbound algorithms are calculated using theoretical formulas, requiring a mathematical model to be established in advance, and the subsequent parameter values are all calculated through theoretical formulas. ; Although this method does not use or seldom access the database, the establishment of the model is relatively fixed. For some businesses, this model no longer holds true, or the adaptability of this model is poor. Some of the existing outbound algorithms are also implemented through dynamic statistics, but this method requires a large amount of access to historical data for machine learning, training data or neural networks, etc. This method frequently accesses the database and requires a large number of Data, waste a lot of time, cause performance degradation, and it is difficult to make reasonable predictions without a large amount of data at the beginning.
发明内容Contents of the invention
为了克服上述现有技术中存在的缺陷,本发明的目的是提供一种基于动态统计过程的预测式外呼算法、交换机拨打方法及装置。In order to overcome the above-mentioned defects in the prior art, the purpose of the present invention is to provide a predictive outbound algorithm based on a dynamic statistical process, an exchange dialing method and a device.
为了实现上述目的,根据本发明的第一个方面,本发明提供了一种基于动态统计过程的预测式外呼算法,其包括如下步骤:In order to achieve the above object, according to a first aspect of the present invention, the present invention provides a predictive outbound algorithm based on a dynamic statistical process, which includes the following steps:
S1,开始,设置目标坐席利用率AO,最大呼损率ARmax,交换机数目T,最大等待时长TQmax,预测间隔时间△t,等待队列最大长度qL,用户耐心时间1/η,用户不愿加入等待队列的概率p0,以及向外拨打电话数量λ的初始值,令l的累加值al=0。S1, start, set the target agent utilization rate AO, the maximum call loss rate AR max , the number of exchanges T, the maximum waiting time TQ max , the prediction interval △t, the maximum length of the waiting queue qL, the user's patience time 1/η, the user's unwillingness The probability p 0 of joining the waiting queue, and the initial value of the number of outgoing calls λ, let the cumulative value of l=0.
S2,在t时刻,通过交换机获取当前客服总数N,空闲客服总数f,正在呼叫电话数j,接通率ρ,平均响铃时长1/β,平均通话时长1/μ,以及等待队列长度q的数值,所述t为正数;S2. At time t, obtain the total number of current customer service N, the total number of idle customer service f, the number of calls j, the connection rate ρ, the average ringing time 1/β, the average call time 1/μ, and the waiting queue length q through the switch The value of , said t is a positive number;
S3,判断是否满足q<qL,若满足则转步骤S4,否则休眠至t+Δt时刻转步骤S2进行下一轮预测,并更新当前时刻为t=t+Δt;S3, judge whether q<qL is satisfied, if so, go to step S4, otherwise go to step S2 for the next round of prediction at the time of t+Δt, and update the current time to t=t+Δt;
S4,计算所需最小坐席数M,计算公式为: S4, calculate the required minimum number of seats M, the calculation formula is:
S5,判断是否满足N≤M,若满足则转步骤S17,否则转步骤S6;S5, judging whether N≤M is satisfied, if so, go to step S17, otherwise go to step S6;
S6,计算系统预测最大外呼值l,累计计算al=al+l,其中,S6, the calculation system predicts the maximum outbound call value l, accumulatively calculates al=al+l, wherein,
S7,动态统计上个时刻的呼损率AR并判断是否满足AR<ARmax,若满足则转步骤S8,否则转步骤S16;S7, dynamically counting the call loss rate AR at the last moment and judging whether AR<AR max is satisfied, if so, go to step S8, otherwise go to step S16;
S8,判断是否满足当前空闲客服总数f>al,若满足则转步骤S9,否则转步骤S13;S8, judging whether the current total number of idle customer service f>al is satisfied, if satisfied, then go to step S9, otherwise go to step S13;
S9,预测结果s=(f-j)/ρ-q+al,若al>1则al置0;S9, prediction result s=(f-j)/ρ-q+al, if al>1 then al is set to 0;
S10,计算用户等待时间Tq,Tq=q/(N*μ);S10, calculate user waiting time Tq, Tq=q/(N*μ);
S11,判断是否满足Tq<TQmax,若满足则转步骤S12,否则休眠至t+Δt时刻转步骤S2进行下一轮预测,并更新当前时刻为t=t+Δt;S11, judge whether Tq<TQ max is satisfied, if it is satisfied, go to step S12, otherwise go to step S2 for the next round of prediction at the time of t+Δt, and update the current time to t=t+Δt;
S12,更新预测结果s=s*ARrate,ARrate为系统的呼出减弱比,ARrate=1-AR,AR为呼损率,S12, update the prediction result s=s*ARrate, ARrate is the exhalation attenuation ratio of the system, ARrate=1-AR, AR is the call loss rate,
AR=p0B(θ,N)+(1-p0)λβρη,转步骤S18;AR=p 0 B(θ,N)+(1-p 0 )λβρη, turn to step S18;
S13,预测结果s=f-j-q+al,若al>1则al置0;S13, the prediction result s=f-j-q+al, if al>1, set al to 0;
S14,计算呼损率AR,AR=p0B(θ,N)+(1-p0)λβρηS14, calculate call loss rate AR, AR=p 0 B(θ, N)+(1-p 0 )λβρη
B(θ,0)=1,B(θ,0)=1,
S15,判断是否满足AR<ARmax,若满足则转步骤S10,否则休眠至t+Δt时刻转步骤S2进行下一轮预测,并更新当前时刻为t=t+Δt;S15, determine whether AR<AR max is satisfied, if so, go to step S10, otherwise go to step S2 for the next round of prediction at the time of t+Δt, and update the current time to t=t+Δt;
S16,预测结果s=f-j-q,转步骤S18;S16, prediction result s=f-j-q, go to step S18;
S17,预测结果s=f-j,转步骤S18;S17, prediction result s=f-j, turn to step S18;
S18,计算最终拨打电话数量λ,λ=(int)min(max(s,0),T);S18, calculate the final number of dialed calls λ, λ=(int)min(max(s, 0), T);
S19,向外拨打λ个电话,算法休眠至t+Δt时刻转步骤S2进行下一轮预测,并更新当前时刻为t=t+Δt;重复执行以上步骤,直到应用程序终止运行。S19, making λ calls outside, the algorithm sleeps until t+Δt time, go to step S2 for the next round of prediction, and update the current time to t=t+Δt; repeat the above steps until the application program terminates.
为了实现上述目的,根据本发明的第二个方面,本发明提供了一种基于动态统计过程的预测式外呼算法的交换机拨打方法,其特征在于包括如下步骤:In order to achieve the above object, according to a second aspect of the present invention, the present invention provides a method for dialing an exchange based on a predictive outbound algorithm of a dynamic statistical process, which is characterized in that it comprises the following steps:
步骤1,根据权利要求1所述的预测式外呼算法预测出下一时刻将要拨打电话数量λ;Step 1, predicting the number of calls λ to be dialed at the next moment according to the predictive outbound algorithm according to claim 1;
步骤2,交换机根据这个预测结果拨打λ个电话;Step 2, the exchange dials λ calls according to the prediction result;
步骤3,经过平均响铃时间1/β后,所述β为正数,会有ρ比例的电话接通,剩下1-ρ比例的电话未接通被过滤掉,所述ρ为大于0小于1的正数;Step 3, after the average ringing time 1/β, the β is a positive number, there will be ρ proportion of calls connected, and the remaining 1-ρ proportion of calls that are not connected are filtered out, and the ρ is greater than 0 a positive number less than 1;
步骤4,接通的人数进入控制系统,控制系统会根据当前是否有空闲坐席进行分配;Step 4, the number of connected people enters the control system, and the control system will allocate according to whether there are currently free seats;
步骤5,若有空闲坐席则分配坐席为之服务,服务完毕的为拨打成功的;若没有空闲坐席,会有p0概率的客户愿意加入等待队列进行等待,剩下的1-p0概率的客户不愿意加入等待队列放弃形成呼损;Step 5, if there is an idle seat, assign an agent to serve it, and the call is successful if the service is completed; if there is no idle seat, there will be customers with a probability of p0 who are willing to join the waiting queue for waiting, and the remaining customers with a probability of 1-p0 will not Willing to join the waiting queue and give up to cause call loss;
步骤6,排队的客户也有一部分由于等待超过其耐心时间1/η而放弃形成呼损,只有余下的会在没超过其耐心时间1/η的情况下通过控制系统根据目前已经服务完的空闲的坐席为之分配坐席服务,最后服务完成。Step 6, some of the customers in queue also give up and form a call loss due to waiting beyond their patient time 1/η, and only the rest will pass through the control system according to the idle service that has been served at present without exceeding their patient time 1/η. The agent assigns the agent service to it, and finally the service is completed.
为了实现上述目的,根据本发明的第三个方面,本发明提供了一种运行本发明基于动态统计过程的预测式外呼算法的装置,其包括数据输入模块、预测式外呼算法模块、交换机、动态统计模块、数据存储模块和数据输出显示模块,所述数据输入模块向预测式外呼算法模块输入初始化参数数据,所述预测式外呼算法模块与交换机相连,进行信息交互,所述动态统计模块与数据存储模块相连,接收数据存储模块的数据,所述动态统计模块统计不同频率的统计数据并传输给预测式外呼算法模块,同时通过数据输出界面进行数据显示;In order to achieve the above object, according to a third aspect of the present invention, the present invention provides a device for running the predictive outbound algorithm based on the dynamic statistical process of the present invention, which includes a data input module, a predictive outbound algorithm module, a switch , a dynamic statistical module, a data storage module and a data output display module, the data input module inputs initialization parameter data to the predictive outbound algorithm module, and the predictive outbound algorithm module is connected to a switch for information interaction, and the dynamic The statistics module is connected with the data storage module, receives data from the data storage module, and the dynamic statistics module counts statistical data of different frequencies and transmits them to the predictive outbound algorithm module, and simultaneously displays the data through the data output interface;
所述预测式外呼算法模块包含配置参数单元、初始化参数单元、理论计算数据单元、周期统计参数单元、预测式外呼算法单元、预测结果单元;所述配置参数单元用于接收交换机配置参数信息,所述初始化参数单元用于接收数据输入模块输入的各种目标参数数据,所述理论计算数据单元用于接收理论计算但要周期改变的数据,所述周期统计参数单元用于接收动态统计模块用不同统计频率统计出来的各种数据,所述预测式外呼算法单元用于实现权利要求1所述的预测式外呼算法,所述预测结果单元用于向交换机传递预测结果;The predictive outbound algorithm module includes a configuration parameter unit, an initialization parameter unit, a theoretical calculation data unit, a cycle statistics parameter unit, a predictive outbound algorithm unit, and a predicted result unit; the configuration parameter unit is used to receive switch configuration parameter information , the initialization parameter unit is used to receive various target parameter data input by the data input module, the theoretical calculation data unit is used to receive theoretical calculation but periodically changed data, and the cycle statistics parameter unit is used to receive the dynamic statistics module Various data collected with different statistical frequencies, the predictive outbound algorithm unit is used to implement the predictive outbound algorithm according to claim 1, and the predicted result unit is used to deliver the predicted result to the switch;
所述动态统计模块包括获取历史数据单元、选择统计策略单元、统计策略单元、向预测式外呼算法模块传递统计数据的单元和向输出界面传递统计数据的单元,所述获取历史数据单元中存储有包括获取已写入数据库的数据和交换机保存的正在服务但还未来得及写入数据库中的数据,所述选择统计策略单元用于选择使用何种统计策略,所述统计策略单元包括多种具体的统计策略。The dynamic statistics module includes an acquisition historical data unit, a statistical strategy unit, a statistical strategy unit, a unit for transferring statistical data to the predictive outbound algorithm module and a unit for transferring statistical data to the output interface, and the historical data acquisition unit stores It includes obtaining the data that has been written into the database and the data that is being served by the switch but has not yet been written into the database. The selection statistical strategy unit is used to select which statistical strategy to use. The statistical strategy unit includes a variety of specific statistical strategy.
本发明具有如下有益技术效果:The present invention has the following beneficial technical effects:
1、本发明根据拨打电话的历史数据进行统计和预测,动态的决定下一刻应该拨打的电话数,在尽可能不超过目标电话呼损率的同时提高坐席利用率,达到优化平衡并完全取代人工拨号。1. The present invention makes statistics and predictions based on the historical data of dialed calls, dynamically determines the number of calls that should be dialed at the next moment, improves the utilization rate of seats while not exceeding the target call loss rate as much as possible, achieves an optimal balance and completely replaces manual dial.
2、本发明的外呼算法建立坐席不够用时的排队理论模型,而响铃时间、服务时间和统计策略则使用手工拨号数据的统计模型,建立的模型更接近于实际情况,在同样的呼损率下坐席利用率会大大提高。本发明的外呼算法算法基于排队理论,但初始参数(如服务时间,接通率等)对于不同的业务差别很大,所以这些参数通过动态统计能很好地适应各种业务。在坐席数为10的情况下坐席利用率有65-70%,呼损率3-4%;在坐席数为20的情况下坐席利用率有70-73%,呼损率2%左右;在坐席数为30的情况下坐席利用率有72-75%,呼损率1-2%;在坐席数为40的情况下坐席利用率有80-85%,呼损率1%左右;在坐席数为50的情况下坐席利用率有82-85%,呼损率不到1%;而且随着坐席数的增加,越来越平稳,呼损率刚开始就很小甚至没有,波动也很小;当坐席数为60或以上时几乎不出现呼损并保持坐席利用率80%。而且对于不同的业务数据都有不错的效果。2. The outbound call algorithm of the present invention establishes a queuing theoretical model when the seats are not enough, while the ringing time, service time and statistical strategy use the statistical model of manual dialing data, and the model established is closer to the actual situation. In the same call loss The seat utilization rate will be greatly improved under the high rate. The outbound call algorithm of the present invention is based on queuing theory, but the initial parameters (such as service time, connection rate, etc.) are very different for different businesses, so these parameters can be well adapted to various businesses through dynamic statistics. When the number of seats is 10, the agent utilization rate is 65-70%, and the call loss rate is 3-4%; when the number of seats is 20, the seat utilization rate is 70-73%, and the call loss rate is about 2%. When the number of seats is 30, the agent utilization rate is 72-75%, and the call loss rate is 1-2%; when the number of seats is 40, the agent utilization rate is 80-85%, and the call loss rate is about 1%. When the number is 50, the agent utilization rate is 82-85%, and the call loss rate is less than 1%. With the increase of the number of seats, it becomes more and more stable, and the call loss rate is very small or even non-existent at the beginning, and the fluctuation is also very large. Small; when the number of seats is 60 or more, there is almost no call loss and the seat utilization rate is maintained at 80%. And it has a good effect on different business data.
3、本发明开辟了一种把预测式外呼算法分成两个重要的模块:预测式外呼算法模块和动态统计模块;从而可以从两个方向来优化,从而避免了只优化算法会出现的瓶颈问题。而且在优化算法时不必关心参数的具体统计,统计参数时不用考虑算法的实现和是否对算法有用。3. The present invention develops a method that divides the predictive outbound algorithm into two important modules: the predictive outbound algorithm module and the dynamic statistics module; thus it can be optimized from two directions, thereby avoiding the problem that only the optimization algorithm will appear. Bottleneck problem. And when optimizing the algorithm, you don't need to care about the specific statistics of the parameters, and you don't need to consider the implementation of the algorithm and whether it is useful to the algorithm when you calculate the parameters.
4、加入了动态统计模块,提高了算法的适应性,使其能适应多种不同的业务以及数据波动太大的情况;采用统计模型与理论模型相结合的思路,避免了理论模型在极端情况下偏离较大的缺陷,使理论模型能更好的接近统计模型。4. The dynamic statistical module is added to improve the adaptability of the algorithm, so that it can adapt to a variety of different businesses and the situation where the data fluctuates too much; the idea of combining the statistical model with the theoretical model is adopted to avoid the extreme situation of the theoretical model The defect that deviates from the lower limit makes the theoretical model closer to the statistical model.
5、采用反馈与预测相结合的思路,使那些能够预测准确的变得更准确,预测不太准确的可以通过反馈变得准确些,从而结合了预测与反馈的优点。5. Adopt the idea of combining feedback and forecasting, so that those who can predict accurately will become more accurate, and those who can predict less accurately can become more accurate through feedback, thus combining the advantages of forecasting and feedback.
本发明的附加方面和优点将在下面的描述中部分给出,部分将从下面的描述中变得明显,或通过本发明的实践了解到。Additional aspects and advantages of the invention will be set forth in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention.
附图说明Description of drawings
本发明的上述和/或附加的方面和优点从结合下面附图对实施例的描述中将变得明显和容易理解,其中:The above and/or additional aspects and advantages of the present invention will become apparent and comprehensible from the description of the embodiments in conjunction with the following drawings, wherein:
图1是本发明一种优选实施方式中预测式外呼算法流程图;Fig. 1 is a flow chart of predictive outbound algorithm in a preferred embodiment of the present invention;
图2是本发明一种优选实施方式中交换机拨打方法的流程示意图;Fig. 2 is a schematic flow diagram of a switch dialing method in a preferred embodiment of the present invention;
图3是发明一种优选实施方式中基于动态统计的预测式外呼算法的装置的组成结构示意图。Fig. 3 is a schematic diagram of the composition and structure of a device for inventing a predictive outbound call algorithm based on dynamic statistics in a preferred embodiment.
具体实施方式Detailed ways
下面详细描述本发明的实施例,所述实施例的示例在附图中示出,其中自始至终相同或类似的标号表示相同或类似的元件或具有相同或类似功能的元件。下面通过参考附图描述的实施例是示例性的,仅用于解释本发明,而不能理解为对本发明的限制。Embodiments of the present invention are described in detail below, examples of which are shown in the drawings, wherein the same or similar reference numerals designate the same or similar elements or elements having the same or similar functions throughout. The embodiments described below by referring to the figures are exemplary only for explaining the present invention and should not be construed as limiting the present invention.
在本发明的描述中,除非另有规定和限定,需要说明的是,术语“安装”、“相连”、“连接”应做广义理解,例如,可以是机械连接或电连接,也可以是两个元件内部的连通,可以是直接相连,也可以通过中间媒介间接相连,对于本领域的普通技术人员而言,可以根据具体情况理解上述术语的具体含义。In the description of the present invention, unless otherwise specified and limited, it should be noted that the terms "installation", "connection" and "connection" should be understood in a broad sense, for example, it can be mechanical connection or electrical connection, or two The internal communication of each element may be directly connected or indirectly connected through an intermediary. Those skilled in the art can understand the specific meanings of the above terms according to specific situations.
本发明中的参数含义解释如下:The parameter meaning among the present invention is explained as follows:
振铃时长:拨打一个电话,从开始拨打到一个电话成功接通或者标识无法接通所需时间。Ringing duration: the time required to make a call, from the start of the call to the successful connection of a call or the identification that it cannot be connected.
服务时长:成功接通后的电话的服务时间。Service time: The service time of the call after the call is successfully connected.
整理时长:对客户做业务记录时间(也可看作服务时间的一部分)。Finishing time: the time for making business records for customers (it can also be regarded as a part of service time).
等待队列长度:接通电话在得不到服务的情况下,愿意在线等待,这个队列长度就是等待队列长度。Waiting queue length: If you are willing to wait online when you are connected to the phone and cannot get service, this queue length is the waiting queue length.
用户耐心时间:用户自加入等待队列到其不愿等待主动放弃挂断电话的时间。User patience time: the time from when the user joins the waiting queue to when he is unwilling to wait and actively gives up and hangs up the phone.
用户等待时间:用户实际在排队过程中等待的时间。User waiting time: the time the user actually waits in the queuing process.
最大等待时长:所有在线等待的客户愿意等待的最大时间上限。Maximum waiting time: the upper limit of the maximum time that all online customers are willing to wait.
客服利用率:所有客服的服务时长总和与所有客服在线的总时长的比值。Customer service utilization rate: the ratio of the sum of service hours of all customer service to the total online time of all customer service.
电话呼损率:接通但是没有得到服务的电话数占接通电话总数的比值。Call loss rate: The ratio of the number of calls that are connected but not served to the total number of connected calls.
本发明根据实际的人工外呼拨号数据进行数据统计分析后可知:服务时间近似服从负指数分布,响铃时间近似服从广义泊松分布。According to the statistical analysis of the actual manual outbound dialing data, the present invention shows that the service time approximately obeys the negative exponential distribution, and the ringing time approximately obeys the generalized Poisson distribution.
本发明提供了一种基于动态统计过程的预测式外呼算法,如图1所示,其包括如下步骤:The present invention provides a kind of predictive outbound algorithm based on dynamic statistical process, as shown in Figure 1, it comprises the following steps:
S1,开始,设置参数值,包括交换机的配置参数和初始化参数,例如,具体为目标坐席利用率AO,最大呼损率ARmax,交换机数目T,最大等待时长TQmax,预测间隔时间△t,等待队列最大长度qL,用户耐心时间1/η,用户不愿加入等待队列的概率p0,以及向外拨打电话数量λ的初始值。S1, start, set parameter values, including switch configuration parameters and initialization parameters, for example, the target agent utilization rate AO, the maximum call loss rate AR max , the number of switches T, the maximum waiting time TQ max , the prediction interval △t, The maximum length of the waiting queue qL, the user's patience time 1/η, the probability p 0 that the user does not want to join the waiting queue, and the initial value of the number of outgoing calls λ.
在本实施方式中,设置工作量,最大呼损率ARmax=0.02,交换机数目T=10000,目标坐席利用率AO=0.8,最大等待时长TQmax=15s,预测间隔时间△t=5s,等待队列最大长度(队列容量)qL=2,用户耐心时间1/η=10s,用户不愿加入等待队列的概率p0=0.01等目标参数。等号后边的数值为参数的默认值,令l的累加值al=0。In this embodiment, the workload is set, the maximum call loss rate AR max = 0.02, the number of switches T = 10000, the target agent utilization rate AO = 0.8, the maximum waiting time TQ max = 15s, the prediction interval time Δt = 5s, wait The maximum length of the queue (queue capacity) qL=2, the user's patience time 1/η=10s, the probability that the user does not want to join the waiting queue p 0 =0.01 and other target parameters. The value behind the equal sign is the default value of the parameter, so that the accumulated value of l is al=0.
S2,在t时刻,通过交换机获取当前客服总数N,空闲客服总数f,正在呼叫电话数j,接通率ρ,平均响铃时长1/β,平均通话时长1/μ,以及等待队列长度q的数值,所述t为正数;S2. At time t, obtain the total number of current customer service N, the total number of idle customer service f, the number of calls j, the connection rate ρ, the average ringing time 1/β, the average call time 1/μ, and the waiting queue length q through the switch The value of , said t is a positive number;
S3,判断是否满足q<qL,若满足则转步骤S4,否则休眠至t+Δt时刻转步骤S2进行下一轮预测,并更新当前时刻为t=t+Δt;S3, judge whether q<qL is satisfied, if so, go to step S4, otherwise go to step S2 for the next round of prediction at the time of t+Δt, and update the current time to t=t+Δt;
S4,计算所需最小坐席数M,计算公式为: S4, calculate the required minimum number of seats M, the calculation formula is:
S5,判断是否满足N≤M,若满足则转步骤S17,否则转步骤S6;S5, judging whether N≤M is satisfied, if so, go to step S17, otherwise go to step S6;
S6,计算系统预测最大外呼值l,累计计算al=al+l,其中,S6, the calculation system predicts the maximum outbound call value l, accumulatively calculates al=al+l, wherein,
S7,统计策略模块利用预存的统计方法动态统计上个时刻的呼损率AR并判断是否满足AR<ARmax,若满足则转步骤S8,否则转步骤S16;S7, the statistical strategy module uses the pre-stored statistical method to dynamically count the call loss rate AR at the last moment and judge whether AR<AR max is satisfied, if it is satisfied, go to step S8, otherwise go to step S16;
S8,判断是否满足当前空闲客服总数f>al,若满足则转步骤S9,否则转步骤S13;S8, judging whether the current total number of idle customer service f>al is satisfied, if satisfied, then go to step S9, otherwise go to step S13;
S9,预测结果s=(f-j)/ρ-q+al,若al>1则al置0;S9, prediction result s=(f-j)/ρ-q+al, if al>1 then al is set to 0;
S10,计算用户等待时间Tq,Tq=q/(N*μ),其中q为当前排队的人数,如果q为0则表示当前没有等待客户;S10, calculate the user waiting time Tq, Tq=q/(N*μ), wherein q is the number of people in the current queue, if q is 0, it means that there is no waiting client at present;
S11,判断是否满足Tq<TQmax,若满足则转步骤S12,否则休眠至t+Δt时刻转步骤S2进行下一轮预测,并更新当前时刻为t=t+Δt;S11, judge whether Tq<TQ max is satisfied, if it is satisfied, go to step S12, otherwise go to step S2 for the next round of prediction at the time of t+Δt, and update the current time to t=t+Δt;
S12,更新预测结果s=s*ARrate,ARrate为系统的呼出减弱比,ARrate=1-AR,AR为呼损率,AR=p0B(θ,N)+(1-p0)λβρη,转步骤S18;S12, update the prediction result s=s*ARrate, ARrate is the exhalation attenuation ratio of the system, ARrate=1-AR, AR is the call loss rate, AR=p 0 B(θ,N)+(1-p 0 )λβρη, Go to step S18;
S13,预测结果s=f-j-q+al,若al>1则al置0;S13, the prediction result s=f-j-q+al, if al>1, set al to 0;
S14,计算呼损率AR,AR=p0B(θ,N)+(1-p0)λβρη,电话呼损可以分为不愿进入等待队列呼损的和愿意进入等待队列呼损的两部分,前半部分只有在i=N的情况下发生,假设θ=λβρ(1-p0)/μ为成功接通电话输入负载,根据Erlang-B公式,可以计算出N个客服没有空闲时的概率πN,即呼损率,这个概率可以供过Erlang公式迭代得出:S14, calculate call loss rate AR, AR=p 0 B(θ,N)+(1-p 0 )λβρη, telephone call loss can be divided into those who do not want to enter the waiting queue and those who are willing to enter the waiting queue Part, the first half only occurs when i=N, assuming θ=λβρ(1-p 0 )/μ is the input load of successfully connected calls, according to the Erlang-B formula, it can be calculated when N customer service personnel are not idle The probability π N is the call loss rate. This probability can be obtained by iteration through the Erlang formula:
B(θ,0)=1,B(θ,0)=1,
S15,判断是否满足AR<ARmax,若满足则转步骤S10,否则休眠至t+Δt时刻转步骤S2进行下一轮预测,并更新当前时刻为t=t+Δt;S15, determine whether AR<AR max is satisfied, if so, go to step S10, otherwise go to step S2 for the next round of prediction at the time of t+Δt, and update the current time to t=t+Δt;
S16,预测结果s=f-j-q,转步骤S18;S16, prediction result s=f-j-q, go to step S18;
S17,预测结果s=f-j,转骤S18;S17, prediction result s=f-j, turn to step S18;
S18,计算最终拨打电话数量λ,λ=(int)min(max(s,0),T);S18, calculate the final number of dialed calls λ, λ=(int)min(max(s, 0), T);
S19,向外拨打λ个电话,算法休眠至t+Δt时刻转步骤S2进行下一轮预测,并更新当前时刻为t=t+Δt;重复执行以上步骤,直到应用程序终止运行。S19, making λ calls outside, the algorithm sleeps until t+Δt time, go to step S2 for the next round of prediction, and update the current time to t=t+Δt; repeat the above steps until the application program terminates.
在本实施方式中,步骤S7中动态统计上个时刻的呼损率AR是把自当前时刻前t1时刻至当前时刻阶段呼损的电话个数除以这个阶段接通的所有的电话个数,所述t1为正数。在本发明的更加优选的实施方式中,t1为15分钟至45分钟之间的时间,优选为20分钟。In this embodiment, in step S7, the dynamic statistics of the call loss rate AR at the previous moment is to divide the number of calls lost at the stage of call loss from the moment t1 before the current moment to the current moment stage by the number of all calls connected at this stage, The t1 is a positive number. In a more preferred embodiment of the present invention, t1 is a time between 15 minutes and 45 minutes, preferably 20 minutes.
如果选取的间隔太小,可能时间段里的数据太少,不足以反映真实的情况。如果选取的间隔过大,不能实时的反应参数的改变,并且当数据波动较明显时,也不足以反映真实的波动情况。If the selected interval is too small, there may be too little data in the time period to reflect the real situation. If the selected interval is too large, it cannot reflect the change of parameters in real time, and when the data fluctuation is obvious, it is not enough to reflect the real fluctuation situation.
本发明相对于传统的预测式外呼算法,具有以下优点:通过生灭论与排队论建立坐席不够用时的排队理论模型,而响铃时间、服务时间和统计策略则使用手工拨号数据的统计模型,建立的模型更接近于实际情况,在同样的呼损率下坐席利用率会大大提高;本发明开辟了一种把预测式外呼算法分成两个重要的模块:预测式外呼算法模块和动态统计模块。从而可以从两个方向来优化,两个方向都有很多优化方案,从而避免了只优化算法会出现的瓶颈问题;而且在优化算法时不必关心参数的具体统计,统计参数时不用考虑算法的实现和是否对算法有用;加入了动态统计模块,提高了算法的适应性,使其能适应多种不同的业务以及数据波动太大的情况;采用统计模型与理论模型相结合的思路,避免了理论模型在极端情况下偏离较大的缺陷,使理论模型能更好的接近统计模型;采用反馈与预测相结合的思路,使那些能够预测准确的变得更准确,预测不太准确的可以通过反馈变得准确些,从而结合了预测与反馈的优点。Compared with the traditional predictive outbound algorithm, the present invention has the following advantages: the theoretical model of queuing when the seats are not enough is established through the theory of birth and death and queuing theory, and the statistical model of manual dialing data is used for ringing time, service time and statistical strategies , the established model is closer to the actual situation, and the seat utilization rate will be greatly improved under the same call loss rate; Dynamic statistics module. Therefore, it can be optimized from two directions, and there are many optimization schemes in both directions, thereby avoiding the bottleneck problem that only occurs when the algorithm is optimized; and when optimizing the algorithm, it is not necessary to care about the specific statistics of the parameters, and it is not necessary to consider the implementation of the algorithm when calculating the parameters and whether it is useful to the algorithm; the dynamic statistical module is added to improve the adaptability of the algorithm, so that it can adapt to a variety of different businesses and the situation where the data fluctuates too much; the idea of combining the statistical model with the theoretical model avoids the theoretical In extreme cases, the model deviates from the larger defect, so that the theoretical model can be better approached to the statistical model; the idea of combining feedback and prediction is adopted to make those that can predict accurately become more accurate, and those that are less accurate can be passed through feedback become more accurate, thus combining the advantages of prediction and feedback.
自动外呼系统是一个很复杂的呼叫系统,尤其是在对客服利用率和电话呼损率有一定要求情况下。所以一个预测式外呼算法不光要考虑以上提及的影响参数还要考虑系统实际运行状态参数。因此本发明提出一种结合理论模型模拟预测以及系统实时运行状态的预测外呼算法,从而使得外呼系统的客服利用率和电话呼损率达到一定要求。The automatic outbound call system is a very complicated call system, especially when there are certain requirements for customer service utilization and call loss rate. Therefore, a predictive outbound call algorithm should not only consider the above-mentioned influencing parameters but also consider the actual operating state parameters of the system. Therefore, the present invention proposes an outbound call algorithm combined with theoretical model simulation prediction and system real-time operating status, so that the customer service utilization rate and call loss rate of the outbound call system meet certain requirements.
如图2所示,利用本发明的基于动态统计过程的预测式外呼算法,交换机拨打方法包括如下步骤:As shown in Figure 2, utilizing the predictive outbound algorithm based on the dynamic statistical process of the present invention, the exchange dialing method comprises the following steps:
步骤1,根据本发明的预测式外呼算法预测出下一时刻将要拨打电话数量λ;Step 1, predict the number of calls λ to be dialed at the next moment according to the predictive outbound algorithm of the present invention;
步骤2,交换机根据这个预测结果拨打λ个电话;Step 2, the exchange dials λ calls according to the prediction result;
步骤3,经过平均响铃时间1/β后,只有ρ比例的电话接通,剩下1-ρ比例的电话未接通被过滤掉;Step 3, after the average ringing time 1/β, only the calls with a ratio of ρ are connected, and the remaining calls with a ratio of 1-ρ are not connected and are filtered out;
步骤4,接通的人数进入控制系统,控制系统会根据当前是否有空闲坐席进行分配;Step 4, the number of connected people enters the control system, and the control system will allocate according to whether there are currently free seats;
步骤5,若有空闲坐席则分配坐席为之服务,服务完毕的为拨打成功的;若没有空闲坐席,会有p0概率的客户愿意加入等待队列进行等待,剩下的1-p0概率的客户不愿意加入等待队列放弃形成呼损;Step 5, if there is an idle seat, assign an agent to serve it, and the call is successful if the service is completed; if there is no idle seat, there will be customers with a probability of p0 who are willing to join the waiting queue for waiting, and the remaining customers with a probability of 1-p0 will not Willing to join the waiting queue and give up to cause call loss;
步骤6,排队的客户也有一部分由于等待超过其耐心时间1/η而放弃形成呼损,只有余下的会在没超过其耐心时间1/η的情况下通过控制系统根据目前已经服务完的空闲的坐席为之分配坐席服务,最后服务完成。Step 6, some of the customers in queue also give up and form a call loss due to waiting beyond their patient time 1/η, and only the rest will pass through the control system according to the idle service that has been served at present without exceeding their patient time 1/η. The agent assigns the agent service to it, and finally the service is completed.
如图3所示,本发明运行基于动态统计过程的预测式外呼算法的装置,其包括数据输入模块、预测式外呼算法模块、交换机、动态统计模块、数据存储模块和数据输出显示模块,数据输入模块向预测式外呼算法模块输入初始化参数数据,预测式外呼算法模块与交换机相连,进行信息交互,动态统计模块与数据存储模块相连,接收数据存储模块的数据,动态统计模块统计不同频率的统计数据并传输给预测式外呼算法模块,同时通过数据输出界面进行数据显示。预测式外呼算法模块用于根据上一时刻的历史数据、中间数据的动态统计结果和预设的参数(包括目标参数)以及理论数据对下一刻拨打结果进行预测,并根据预测结果决定是拨打电话还是累计参数到下一刻。动态统计模块用于根据历史数据进行算法所需参数或中间结果的统计,并把一些衡量算法指标的参数进行实时动态展示。As shown in Figure 3, the present invention operates the device of the predictive outbound algorithm based on the dynamic statistical process, which includes a data input module, a predictive outbound algorithm module, a switch, a dynamic statistical module, a data storage module and a data output display module, The data input module inputs initialization parameter data to the predictive outbound call algorithm module, and the predictive outbound call algorithm module is connected to the switch for information interaction, and the dynamic statistics module is connected to the data storage module to receive data from the data storage module, and the dynamic statistics module counts different The statistical data of the frequency is transmitted to the predictive outbound algorithm module, and the data is displayed through the data output interface at the same time. The predictive outbound algorithm module is used to predict the call result at the next moment based on the historical data of the previous moment, the dynamic statistical results of the intermediate data, preset parameters (including target parameters) and theoretical data, and decide whether to call according to the predicted result The phone still accumulates parameters to the next moment. The dynamic statistics module is used to conduct statistics on the parameters required by the algorithm or intermediate results based on historical data, and to display some parameters for measuring algorithm indicators in real time and dynamically.
预测式外呼算法模块包含配置参数单元、初始化参数单元、理论计算数据单元、周期统计参数单元、预测式外呼算法单元、预测结果单元。配置参数单元用于接收交换机配置参数信息(包括交换机数目,最大等待时长,当前排队人数,当前可用的坐席数等),初始化参数单元用于接收数据输入模块输入的各种目标参数数据,理论计算数据单元用于接收理论计算但要周期改变的数据(包括像理论AR之类的,凡是通过公式计算但却没有使用统计方法获得的数据均是使用理论计算的数据),周期统计参数单元用于接收动态统计模块用不同统计频率统计出来的各种数据,预测式外呼算法单元用于实现预测式外呼算法,预测结果单元用于向交换机传递预测结果。The predictive outbound algorithm module includes a configuration parameter unit, an initialization parameter unit, a theoretical calculation data unit, a period statistical parameter unit, a predictive outbound algorithm unit, and a forecast result unit. The configuration parameter unit is used to receive switch configuration parameter information (including the number of switches, the maximum waiting time, the current number of people in line, the number of currently available seats, etc.), the initialization parameter unit is used to receive various target parameter data input by the data input module, and perform theoretical calculations The data unit is used to receive theoretically calculated but periodically changed data (including theoretical AR and the like, all data calculated by formulas but not obtained by statistical methods are theoretically calculated data), and the periodic statistical parameter unit is used for Various data collected by the dynamic statistical module with different statistical frequencies are received, the predictive outbound algorithm unit is used to implement the predictive outbound algorithm, and the predicted result unit is used to transmit the predicted result to the switch.
动态统计模块包括获取历史数据单元、选择统计策略单元、统计策略单元(统计策略单元内预存有统计策略,例如按照星期、月份或节假日统计的,按照上下午分类的,按照每天的各个时间段统计的和按照累加统计的策略等等)、向预测式外呼算法模块传递统计数据的单元和向输出界面传递统计数据的单元,获取历史数据单元中存储有包括获取已写入数据库的数据和交换机保存的正在服务但还未来得及写入数据库中的数据,选择统计策略单元用于选择使用何种统计策略,统计策略单元包括多种具体的统计策略。The dynamic statistical module includes obtaining historical data units, selecting statistical strategy units, and statistical strategy units (statistical strategies are pre-stored in the statistical strategy unit, such as statistics according to the week, month or holiday, classified according to the morning and afternoon, and statistics according to each time period of the day According to the strategy of accumulative statistics, etc.), the unit that transmits statistical data to the predictive outbound algorithm module and the unit that transmits statistical data to the output interface, the historical data acquisition unit stores the data that has been written into the database and the switch For the data that is being served but has not yet been written into the database, the statistical strategy unit is used to select which statistical strategy to use, and the statistical strategy unit includes a variety of specific statistical strategies.
本发明的基于动态统计的预测式外呼算法的装置,可以嵌入在一个现有的交换机中,也可以提供一个和交换机的接口进行单独部署。本领域普通技术人员可以理解实现本发明的基于动态统计的预测式外呼算法的过程,可以通过程序设计来完成,具体的程序可以存储于一种基于动态统计的预测式外呼算法的装置的可读存储介质中,该程序在执行时执行上述方法中的对应步骤。所述的存储介质可以如:ROM/RAM、磁碟、光盘和硬盘等。The device of the predictive outbound algorithm based on dynamic statistics of the present invention can be embedded in an existing switch, or can provide an interface with the switch for separate deployment. Those of ordinary skill in the art can understand that the process of realizing the predictive outbound algorithm based on dynamic statistics of the present invention can be completed through program design, and the specific program can be stored in a device based on a predictive outbound algorithm based on dynamic statistics In the readable storage medium, the program executes the corresponding steps in the above method when executed. The storage medium may be, for example, ROM/RAM, magnetic disk, optical disk and hard disk.
本发明可以把外呼系统看作一个排队模型,把在系统中的电话数看成是随时间变化的函数,那么这个系统就是一个时间连续的马尔科夫链,系统设置最大拨打数量(工作量)为W,假设呼叫中心有N个相同的坐席以及允许有容量为c的排队等待队列长度以及T个交换机。经过对公司大量人工拨号数据的数据挖掘和理论分析,将电话外呼数建模为服从参数为λ的泊松分布,电话振铃时长服从均值为1/β秒的泊松分布,电话平均接通率为ρ,接通客户在得不到服务情况下不进入等待队列(直接挂断)的概率为p0,同时客户的耐心时间为1/η秒,接通客户的服务时间服从均值为1/μ秒的负指数分布。The present invention can regard the outgoing call system as a queuing model, regard the number of calls in the system as a function that changes with time, then this system is a time-continuous Markov chain, and the system sets the maximum number of calls (workload ) is W, assuming that the call center has N identical seats and allows a queuing queue length of c and T switches. After data mining and theoretical analysis of a large number of manual dialing data of the company, the number of outbound calls is modeled as a Poisson distribution with a parameter of λ, the ringing time of the phone is a Poisson distribution with an average value of 1/β seconds, and the average number of calls received is a Poisson distribution. The pass rate is ρ, and the probability that the connected customer does not enter the waiting queue (hang up directly) is p 0 in the case of no service, and the patient time of the customer is 1/η second, and the service time of the connected customer obeys the mean Negative exponential distribution of 1/μsec.
现在外呼系统过程可视为在时间连续的马尔科夫链下的概率状态转换过程,X(t)为在t时刻系统中的总电话数,包括正在服务和在等待队列中的电话数。则此时的时间连续的马尔科夫链所拥有的状态空间E={0,1,2,…,N+c},对于许多排队过程来说,一个客户的到达(引起状态加1)可表示为“生”,一个客户的离去(引起状态减1)可表示为“死”,则X(t)=k时,其下一时刻状态变化时只能变成k±1,因此整个过程变成了“生”概率为λk,“死”概率为μk的独立随机过程-生灭过程。Now the outbound system process can be regarded as a probabilistic state transition process under the time-continuous Markov chain, X(t) is the total number of calls in the system at time t, including the number of calls in service and in the waiting queue. Then the state space E={0,1,2,...,N+c} owned by the time-continuous Markov chain at this time, for many queuing processes, the arrival of a customer (causing state plus 1) can be Expressed as "live", the departure of a customer (causing the state minus 1) can be expressed as "dead", then when X(t)=k, when the state changes at the next moment, it can only become k±1, so the entire The process becomes an independent random process with "birth" probability λ k and "death" probability μ k - a birth-death process.
其中:in:
那么就可以根据“生灭”过程来计算系统达到平稳状态的概率分布{π0,π1,…,πN+c},其中∑i∈Eπi=1,根据平稳状态时单位时间内进入该状态和离开该状态的平均次数相等可以列出式子:Then the probability distribution {π 0 ,π 1 ,…,π N+c } of the system reaching a steady state can be calculated according to the "birth and death" process, where ∑ i∈E π i = 1, according to the steady state in unit time The average number of times to enter the state and leave the state is equal, and the formula can be listed:
在得出系统在各个状态下的概率分布之后,就可以计算出一些衡量系统性能的指标:After obtaining the probability distribution of the system in each state, some indicators to measure the performance of the system can be calculated:
①系统等待队列长度的期望TL可以根据系统在该状态下的概率分布求得:① The expected TL of the system waiting queue length can be obtained according to the probability distribution of the system in this state:
TL=∑i∈E,i>N(i-N)πi TL=∑ i∈E, i>N (iN)π i
②客户在没得到服务也没放弃等待时的平均等待时间E[W]期望:② The customer's average waiting time E[W] expectation when he did not get the service and did not give up waiting:
③客服的坐席利用率期望U:③ Customer service seat utilization expectation U:
通常的电话预测拨号系统的核心是预测式外呼算法,本系统开辟了一种把预测式外呼算法分成两个重要的模块:预测式外呼算法模块和动态统计模块。从而可以从两个方向来优化,两个方向都有很多优化方案,从而避免了只优化算法会出现的瓶颈问题。而且在优化算法时不必关心参数的具体统计,统计参数时不用考虑算法的实现和是否对算法有用。The core of the usual telephone predictive dialing system is the predictive outbound algorithm. This system develops a method that divides the predictive outbound algorithm into two important modules: the predictive outbound algorithm module and the dynamic statistics module. Therefore, it can be optimized from two directions, and there are many optimization schemes in both directions, thus avoiding the bottleneck problem that only occurs in the optimization algorithm. And when optimizing the algorithm, you don't need to care about the specific statistics of the parameters, and you don't need to consider the implementation of the algorithm and whether it is useful to the algorithm when you calculate the parameters.
通过预测式外呼算法拨打的电话数通常要大于当时的空闲座席数,这是因为电话接通率通常比1小很多,所以相比手工拨号和没有预测功能的拨号能极大地提高座席利用率,但如果拨多了,就会造成电话打通但没有坐席为之服务被迫放弃,这种情况称为“呼损”,实际中必须抑制呼损的比例,即呼损率,否则会对用户造成极大的骚扰,所以算法就要在坐席利用率和电话呼损率之间进行平衡。尽管如此,只要算法进行合理的预测,仍然会达到很高的坐席利用率,产生很好的预测效果。但这就要求算法能建立较好的模型,对各种参数的变化研究出一套理论(包括排队论),进而适应各种复杂的情形。单光靠建立较好的预测模型还不够,因为预测必须根据历史数据预测,需要哪些和多少历史数据,以及如何对数据进行分析能得出一个较合理的值等,这就是动态统计模块的作用啦,本发明只涉及预测式外呼算法。The number of calls dialed through the predictive outbound algorithm is usually greater than the number of available seats at that time, because the call connection rate is usually much smaller than 1, so compared with manual dialing and dialing without predictive function, it can greatly improve the agent utilization rate , but if there are too many calls, the call will be connected but no agent will be forced to give up the service. This situation is called "call loss". In practice, the proportion of call loss must be suppressed, that is, the call loss rate, otherwise the user Causes great harassment, so the algorithm must balance between the agent utilization rate and the call loss rate. Nevertheless, as long as the algorithm makes a reasonable prediction, it will still achieve a high seat utilization rate and produce a good prediction effect. But this requires that the algorithm can establish a better model, and develop a set of theories (including queuing theory) for the changes of various parameters, and then adapt to various complex situations. It is not enough to build a good forecasting model alone, because forecasting must be based on historical data, what and how much historical data is needed, and how to analyze the data to get a reasonable value, etc. This is the role of the dynamic statistics module Well, the present invention only relates to predictive outbound algorithms.
在本说明书的描述中,参考术语“一个实施例”、“一些实施例”、“示例”、“具体示例”、或“一些示例”等的描述意指结合该实施例或示例描述的具体特征、结构、材料或者特点包含于本发明的至少一个实施例或示例中。在本说明书中,对上述术语的示意性表述不一定指的是相同的实施例或示例。而且,描述的具体特征、结构、材料或者特点可以在任何的一个或多个实施例或示例中以合适的方式结合。In the description of this specification, descriptions referring to the terms "one embodiment", "some embodiments", "example", "specific examples", or "some examples" mean that specific features described in connection with the embodiment or example , structure, material or characteristic is included in at least one embodiment or example of the present invention. In this specification, schematic representations of the above terms do not necessarily refer to the same embodiment or example. Furthermore, the specific features, structures, materials or characteristics described may be combined in any suitable manner in any one or more embodiments or examples.
尽管已经示出和描述了本发明的实施例,本领域的普通技术人员可以理解:在不脱离本发明的原理和宗旨的情况下可以对这些实施例进行多种变化、修改、替换和变型,本发明的范围由权利要求及其等同物限定。Although the embodiments of the present invention have been shown and described, those skilled in the art can understand that various changes, modifications, substitutions and modifications can be made to these embodiments without departing from the principle and spirit of the present invention. The scope of the invention is defined by the claims and their equivalents.
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