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CN115719013B - Multistage maintenance decision modeling method and device for intelligent manufacturing production line - Google Patents

Multistage maintenance decision modeling method and device for intelligent manufacturing production line Download PDF

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CN115719013B
CN115719013B CN202310035776.6A CN202310035776A CN115719013B CN 115719013 B CN115719013 B CN 115719013B CN 202310035776 A CN202310035776 A CN 202310035776A CN 115719013 B CN115719013 B CN 115719013B
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equipment
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CN115719013A (en
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王远航
陈勃琛
梁超
孙立军
尚斌
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China Electronic Product Reliability and Environmental Testing Research Institute
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Abstract

本发明公开了一种智能制造产线的多级维修决策建模方法和装置,所述方法包括:利用部件的历史故障数据,获得部件的功能故障和退化故障的故障时间分布;根据故障时间分布,构建部件的功能寿命模型和退化寿命模型;根据部件的功能寿命模型和退化寿命模型,构建设备的功能可用度模型、性能可用度模型和性能可用度惩罚模型;利用设备的功能可用度模型、性能可用度模型和性能可用度惩罚模型,计算产线由于功能故障和退化故障导致的损失,构建产线效益模型;根据产线要求的约束条件,对所述产线效益模型进行优化求解,获得使产线效益最大化的维修决策。本发明能够构建智能制造产线的多级维修决策模型,减少意外停机,最大化产线效益。

Figure 202310035776

The invention discloses a multi-level maintenance decision-making modeling method and device for an intelligent manufacturing production line. The method includes: using historical fault data of components to obtain the fault time distribution of functional faults and degradation faults of components; , to construct the functional life model and degradation life model of the component; according to the functional life model and degradation life model of the component, construct the functional availability model, performance availability model and performance availability penalty model of the equipment; use the functional availability model of the equipment, The performance availability model and the performance availability penalty model calculate the loss of the production line due to functional failures and degradation failures, and construct the production line benefit model; according to the constraints required by the production line, optimize and solve the production line benefit model to obtain Maintenance decisions that maximize line efficiency. The present invention can construct a multi-level maintenance decision-making model of an intelligent manufacturing production line, reduce unplanned downtime, and maximize production line benefits.

Figure 202310035776

Description

一种智能制造产线的多级维修决策建模方法和装置A multi-level maintenance decision-making modeling method and device for an intelligent manufacturing production line

技术领域technical field

本发明属于智能制造技术领域,尤其涉及一种智能制造产线的多级维修决策建模方法和装置、计算机设备、计算机可读存储介质。The invention belongs to the technical field of intelligent manufacturing, and in particular relates to a multi-level maintenance decision-making modeling method and device for an intelligent manufacturing production line, computer equipment, and a computer-readable storage medium.

背景技术Background technique

智能制造产线是由多个制造设备组成、通过MES(生产执行系统,ManufacturingExecution System)等信息系统进行多个设备之间的互联通信和协同作业的制造系统。产线在生产运行过程中会随机发生功能故障或退化故障,随机的功能故障或隐藏的退化故障都可能造成产线的意外停机,进而带来严重的经济和社会效益损失。在产线的流水作业中,任何一个设备的故障将导致产线不同程度的损失。并且,不同设备有多个关键部件,而不同部件又有多种故障模式。现有的多数制造产线的维修决策只考虑到设备层级的故障预测,没有考虑底层部件甚至不同故障的影响问题,无法为智能制造产线的主动运维提供充分的技术支撑。The intelligent manufacturing production line is composed of multiple manufacturing equipment, and is a manufacturing system that performs interconnection communication and collaborative operation between multiple equipment through information systems such as MES (Manufacturing Execution System). During the production and operation of the production line, functional failures or degradation failures will occur randomly. Random functional failures or hidden degradation failures may cause unexpected shutdown of the production line, which in turn will cause serious economic and social benefit losses. In the flow operation of the production line, the failure of any equipment will cause the loss of the production line to varying degrees. Also, different devices have multiple critical components, and different components have multiple failure modes. The maintenance decisions of most existing manufacturing lines only consider the fault prediction at the equipment level, without considering the impact of underlying components or even different faults, and cannot provide sufficient technical support for the active operation and maintenance of intelligent manufacturing lines.

发明内容Contents of the invention

本发明的目的是提供一种智能制造产线的多级维修决策建模方法和装置、计算机设备、计算机可读存储介质,能够构建智能制造产线的多级维修决策模型,有效支持智能制造产线的维修方案的分析和制定,减少意外停机,最大化产线效益。The purpose of the present invention is to provide a multi-level maintenance decision-making modeling method and device, computer equipment, and computer-readable storage medium for an intelligent manufacturing production line, which can build a multi-level maintenance decision-making model for an intelligent manufacturing production line, and effectively support intelligent manufacturing production. Analysis and formulation of line maintenance plans to reduce unplanned downtime and maximize production line benefits.

本发明的一个方面提供一种智能制造产线的多级维修决策建模方法,所述智能制造产线包括m个设备Ei,i=1,...,m,每个设备Ei具有ni个部件Cij,j=1,...,ni,所述方法包括:One aspect of the present invention provides a multi-level maintenance decision modeling method for an intelligent manufacturing production line, the intelligent manufacturing production line includes m equipment E i , i=1,..., m, each equipment E i has n i components C ij , j=1,...,n i , the method includes:

故障时间分布获得步骤:利用部件Cij的历史故障数据,获得部件Cij的功能故障的故障时间分布和退化故障的故障时间分布;Obtaining the fault time distribution step: using the historical fault data of the component C ij to obtain the fault time distribution of the functional fault and the fault time distribution of the degraded fault of the component C ij ;

部件寿命模型构建步骤,根据部件Cij的所有功能故障的故障时间分布,构建部件Cij的基于多功能故障随机依赖性的功能寿命模型

Figure GDA0004144167730000011
根据部件Cij的相互影响的多个退化故障的故障时间分布,构建部件Cij的基于多退化故障随机依赖性的退化寿命模型
Figure GDA0004144167730000021
The component life model construction step, according to the failure time distribution of all functional failures of the component C ij , constructs the functional life model of the component C ij based on the random dependence of the multifunctional faults
Figure GDA0004144167730000011
According to the failure time distribution of multiple degraded faults of components C ij interacting with each other, a degradation life model based on the random dependence of multiple degraded faults of components C ij is constructed
Figure GDA0004144167730000021

设备可用度模型构建步骤,根据部件Cij的功能寿命模型

Figure GDA0004144167730000022
构建设备Ei的基于多部件功能结构依赖性的功能可用度模型Ai(t),根据部件Cij的退化寿命模型
Figure GDA0004144167730000023
构建设备Ei的基于多部件性能结构依赖性的性能可用度模型Bi(t)和性能可用度惩罚模型ABi(t),其中,t为时刻;Equipment availability model construction steps, according to the functional life model of component C ij
Figure GDA0004144167730000022
Construct the functional availability model A i (t) of the equipment E i based on the multi-component functional structure dependence, according to the degradation life model of the component C ij
Figure GDA0004144167730000023
Construct the performance availability model B i (t) and the performance availability penalty model AB i (t) based on multi-component performance structure dependence of the equipment E i , where t is the moment;

产线效益模型构建步骤,利用设备Ei的功能可用度模型Ai(t),计算产线由于功能故障导致的损失;利用设备Ei的性能可用度模型Bi(t)和性能可用度惩罚模型ABi(t),计算产线由于退化故障导致的损失,根据产线由于功能故障和退化故障导致的损失,构建基于多设备经济依赖性的产线效益模型;The production line benefit model construction step uses the functional availability model A i (t) of the equipment E i to calculate the loss of the production line due to functional failure; uses the performance availability model B i (t) of the equipment E i and the performance availability Penalty model AB i (t), calculates the loss of the production line due to degraded faults, and constructs a production line benefit model based on the economic dependence of multiple devices according to the losses caused by functional faults and degraded faults of the production line;

维修决策获得步骤,根据产线要求的约束条件,对所述产线效益模型进行优化求解,获得使产线效益最大化的维修决策。The maintenance decision obtaining step is to optimize and solve the production line benefit model according to the constraints required by the production line, and obtain a maintenance decision that maximizes the production line benefit.

优选地,在设备可用度模型构建步骤中,将部件Cij的功能寿命模型

Figure GDA0004144167730000024
融合为设备Ei的功能模型
Figure GDA0004144167730000025
计算设备在时刻t的预期功能故障时长
Figure GDA0004144167730000026
得到设备Ei的功能可用度
Figure GDA0004144167730000027
Preferably, in the step of constructing the equipment availability model, the functional life model of the component C ij
Figure GDA0004144167730000024
fused as a functional model of device E i
Figure GDA0004144167730000025
Calculate the expected functional failure time of the equipment at time t
Figure GDA0004144167730000026
Get the functional availability of equipment E i
Figure GDA0004144167730000027

优选地,在设备可用度模型构建步骤中,计算部件Cij在Γ(t)内的预期退化故障时长

Figure GDA0004144167730000028
得到设备Ei的性能故障时间
Figure GDA0004144167730000029
从而得到设备Ei的性能可用度模型
Figure GDA0004144167730000031
Preferably, in the step of constructing the equipment availability model, the expected degradation failure duration of the component C ij within Γ(t) is calculated
Figure GDA0004144167730000028
Get the performance failure time of equipment E i
Figure GDA0004144167730000029
Thus, the performance availability model of equipment E i is obtained
Figure GDA0004144167730000031

其中,Γ(t)为设备Ei的预期功能正常时间,Γ(t)=t-αi(t)。Wherein, Γ(t) is the expected function normal time of the equipment E i , Γ(t)=t−α i (t).

优选地,在设备可用度模型构建步骤中,如下构建设备Ei的性能可用度惩罚模型ABi(t):Preferably, in the equipment availability model construction step, the performance availability penalty model AB i (t) of the equipment E i is constructed as follows:

Figure GDA0004144167730000032
Figure GDA0004144167730000032

其中,ωij是部件Cij的性能对设备Ei的生产质量的影响因子。Among them, ω ij is the influence factor of the performance of component C ij on the production quality of equipment E i .

优选地,在所述产线效益模型构建步骤中,根据功能可用度模型Ai(t)和性能可用度模型Bi(t)获得预期故障时间点,根据各设备之间的串并联关系以及性能可用度惩罚模型ABi(t),计算各预期故障时间点之间的时间段内的损失。Preferably, in the step of constructing the production line benefit model, the expected failure time point is obtained according to the function availability model A i (t) and the performance availability model B i (t), according to the series-parallel relationship between each device and The performance availability penalty model AB i (t), calculates the penalty in the time period between each expected failure time point.

优选地,在所述部件寿命模型构建步骤中,对所有功能故障的故障时间分布分别进行蒙特卡洛抽样,取每个分布的第w次抽样样本中最早发生的故障组成统计量Xij=min{xij,1,...,xij,w,...,xij,z},通过对该统计量进行拟合,得到功能寿命模型

Figure GDA0004144167730000033
其中,z为蒙特卡洛抽样次数,z>10000。Preferably, in the step of constructing the component life model, Monte Carlo sampling is performed on the failure time distributions of all functional failures, and the earliest failure component statistics X ij =min in the wth sampling sample of each distribution are taken {x ij, 1 , ..., x ij, w , ..., x ij, z }, by fitting this statistic, the functional life model is obtained
Figure GDA0004144167730000033
Among them, z is the number of Monte Carlo sampling, z>10000.

优选地,在所述部件寿命模型构建步骤中,针对相互影响的多个退化故障,构建多元联合分布函数

Figure GDA0004144167730000034
作为退化寿命模型,其中,
Figure GDA0004144167730000035
Figure GDA0004144167730000037
为部件Cij的退化故障数,σlk为协方差矩阵,衡量多个退化故障的随机依赖性程度。Preferably, in the component life model construction step, a multivariate joint distribution function is constructed for multiple degradation faults affecting each other
Figure GDA0004144167730000034
As a degenerate lifetime model, where,
Figure GDA0004144167730000035
Figure GDA0004144167730000037
is the number of degradation faults of component C ij , and σ lk is the covariance matrix, which measures the degree of random dependence of multiple degradation faults.

优选地,在所述部件寿命模型构建步骤中,基于功能故障与退化故障之间的随机依赖性,按照功能故障的发生以一定概率、按一定比例减小退化故障的故障分布时间的均值同时增大其方差的方式,修正退化寿命模型

Figure GDA0004144167730000036
Preferably, in the component life model construction step, based on the random dependence between functional faults and degraded faults, according to the occurrence of functional faults with a certain probability and a certain proportion, the mean value of the fault distribution time of degraded faults is simultaneously increased Revise the degenerate life model in the way of large variance
Figure GDA0004144167730000036

本发明的另一个方面提供一种智能制造产线的多级维修决策建模装置,所述智能制造产线包括m个设备Ei,i=1,...,m,每个设备Ei具有ni个部件Cij,j=1,...,ni,所述装置包括:Another aspect of the present invention provides a multi-level maintenance decision modeling device for an intelligent manufacturing production line, the intelligent manufacturing production line includes m equipment E i , i=1,...,m, each equipment E i With n i components C ij , j=1, . . . , n i , the device comprises:

故障时间分布获得模块:利用部件Cij的历史故障数据,获得部件Cij的功能故障的故障时间分布和退化故障的故障时间分布;The failure time distribution obtaining module: use the historical failure data of the component C ij to obtain the failure time distribution of the functional failure and the failure time distribution of the degradation failure of the component C ij ;

部件寿命模型构建模块,根据部件Cij的所有功能故障的故障时间分布,构建部件Cij的功能寿命模型

Figure GDA0004144167730000041
根据部件Cij的相互影响的多个退化故障的故障时间分布,构建部件Cij的退化寿命模型
Figure GDA0004144167730000042
设备可用度模型构建模块,根据部件Cij的功能寿命模型
Figure GDA0004144167730000043
构建设备Ei的功能可用度模型Ai(t),根据部件Cij的退化寿命模型
Figure GDA0004144167730000044
构建设备Ei的性能可用度模型Bi(t)和性能可用度惩罚模型ABi(t),其中,t为时刻;The component life model building block, according to the failure time distribution of all functional failures of the component C ij , constructs the functional life model of the component C ij
Figure GDA0004144167730000041
According to the failure time distribution of multiple degradation faults of components C ij interacting with each other, the degradation life model of components C ij is constructed
Figure GDA0004144167730000042
Equipment Availability Model Building Block, Functional Lifetime Model for Components C ij
Figure GDA0004144167730000043
Construct the functional availability model A i (t) of the equipment E i , according to the degradation life model of the component C ij
Figure GDA0004144167730000044
Build the performance availability model B i (t) and the performance availability penalty model AB i (t) of the equipment E i , where t is the moment;

产线效益模型构建模块,利用设备Ei的功能可用度模型Ai(t),计算产线由于功能故障导致的损失;利用设备Ei的性能可用度模型Bi(t)和性能可用度惩罚模型ABi(t),计算产线由于退化故障导致的损失,根据产线由于功能故障和退化故障导致的损失,构建产线效益模型;Production line benefit model building block, using the functional availability model A i (t) of equipment E i to calculate the loss of the production line due to functional failure; using the performance availability model B i ( t) and performance availability of equipment E i Penalty model AB i (t), calculates the loss of the production line due to degraded faults, and constructs a production line benefit model based on the losses caused by functional faults and degraded faults of the production line;

维修决策获得模块,根据产线要求的约束条件,对所述产线效益模型进行优化求解,获得使产线效益最大化的维修决策。The maintenance decision obtaining module optimizes and solves the production line benefit model according to the constraints required by the production line, and obtains a maintenance decision that maximizes the production line benefit.

本发明的又一个方面提供一种计算机设备,包括存储器和处理器,所述存储器存储有计算机程序,其特征在于,所述处理器执行所述计算机程序时实现上述的方法的步骤。Another aspect of the present invention provides a computer device, including a memory and a processor, the memory stores a computer program, and it is characterized in that, when the processor executes the computer program, the steps of the above method are implemented.

本发明的又一个方面提供一种计算机可读存储介质,其上存储有计算机程序,其特征在于,所述计算机程序被处理器执行时实现上述的方法的步骤。Another aspect of the present invention provides a computer-readable storage medium on which a computer program is stored, wherein the computer program implements the steps of the above-mentioned method when executed by a processor.

根据本发明上述方面的智能制造产线的多级维修决策建模方法和装置、计算机设备、计算机可读存储介质,能够构建智能制造产线的多级维修模型,有效支持智能制造产线的维修方案的分析和制定,减少意外停机,最大化产线效益。According to the multi-level maintenance decision-making modeling method and device, computer equipment, and computer-readable storage medium of the intelligent manufacturing production line according to the above aspects of the present invention, a multi-level maintenance model of the intelligent manufacturing production line can be constructed to effectively support the maintenance of the intelligent manufacturing production line The analysis and formulation of the plan can reduce unplanned downtime and maximize the efficiency of the production line.

附图说明Description of drawings

为了更清楚地说明本发明的技术方案,下面将对本发明实施例的描述中所使用的附图作简单的介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图:图1是本发明实施方式的智能制造产线的多级维修决策建模方法的流程图。In order to illustrate the technical solution of the present invention more clearly, the accompanying drawings used in the description of the embodiments of the present invention will be briefly introduced below. Obviously, the accompanying drawings in the following description are only some embodiments of the present invention. For those of ordinary skill in the art, other drawings can also be obtained based on these drawings without creative labor: Fig. 1 is the flow chart of the multi-level maintenance decision-making modeling method of the intelligent manufacturing production line in the embodiment of the present invention picture.

图2是本发明一种实施方式的产线效益模型的原理说明图。Fig. 2 is an explanatory diagram of the principle of a production line efficiency model according to an embodiment of the present invention.

图3是本发明一种实施方式的智能制造产线的多级维修决策建模装置的结构图。Fig. 3 is a structural diagram of a multi-level maintenance decision modeling device for an intelligent manufacturing production line according to an embodiment of the present invention.

图4是本发明一种实施方式的计算机设备的结构图。FIG. 4 is a structural diagram of a computer device according to an embodiment of the present invention.

具体实施方式Detailed ways

为使本发明的目的、技术方案和优点更加清楚,下面将结合附图,对本发明的技术方案进行清楚、完整的描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。In order to make the purpose, technical solutions and advantages of the present invention clearer, the technical solutions of the present invention will be clearly and completely described below in conjunction with the accompanying drawings. Apparently, the described embodiments are only some of the embodiments of the present invention, not all of them. the embodiment. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.

本发明的实施方式提供一种智能制造产线的多级维修决策建模方法。一个智能制造产线通常包括多个设备,不同设备具有多个关键部件,而不同部件存在多种故障模式。以一个小型生产线为例,该产线包括1个机器人和4台机床等设备,其中机器人具有滑动导轨、伺服电机、减速器等关键部件,不同部件存在多种故障模式,其影响也有差别,例如伺服电机,有机械冲击导致的编码器异常,无法工作;有匝间绝缘短路、轴承磨损等,导致系统性能下降,但仍能工作。Embodiments of the present invention provide a multi-level maintenance decision modeling method for an intelligent manufacturing production line. An intelligent manufacturing line usually includes multiple devices, different devices have multiple key components, and different components have multiple failure modes. Taking a small production line as an example, the production line includes 1 robot and 4 machine tools and other equipment. The robot has key components such as slide rails, servo motors, and reducers. Different components have multiple failure modes, and their impacts are also different. For example For servo motors, the encoder is abnormal due to mechanical shock and cannot work; there is a short circuit of inter-turn insulation, bearing wear, etc., resulting in a decrease in system performance, but it can still work.

以下为方便说明,假设:For convenience, the following assumptions are made:

一个智能制造产线包括m个设备,设备用Ei表示,i=1,...,m;An intelligent manufacturing production line includes m devices, and the devices are represented by E i , i=1,...,m;

每个设备Ei具有ni个部件,部件用Cij表示,j=1,...,niEach device E i has n i components, the components are denoted by C ij , j=1,...,n i ;

每个部件Cij有pij个故障,其中,功能丧失类故障共

Figure GDA0004144167730000051
个,表示为
Figure GDA0004144167730000052
Figure GDA0004144167730000053
性能退化类故障共
Figure GDA0004144167730000054
个,表示为
Figure GDA0004144167730000055
满足
Figure GDA0004144167730000056
Each component C ij has p ij faults, among which, the loss of function faults have a total of
Figure GDA0004144167730000051
one, expressed as
Figure GDA0004144167730000052
Figure GDA0004144167730000053
Total performance degradation faults
Figure GDA0004144167730000054
one, expressed as
Figure GDA0004144167730000055
satisfy
Figure GDA0004144167730000056

其中,功能丧失类故障,简称功能故障,一旦发生,部件无法工作,产线停机,如机械断裂、结构卡死、电气短路等,需停机大修或更换;性能退化类故障,简称退化故障,一旦发生,部件仍能工作,但工作质量下降,导致产线不良品率不断增加,至阈值线时需停机检修。Among them, the failure of function loss, referred to as functional failure, once it occurs, the components cannot work, and the production line will be shut down, such as mechanical fracture, structural jamming, electrical short circuit, etc., which need to be shut down for overhaul or replacement; If it happens, the components can still work, but the quality of the work is degraded, which leads to an increase in the rate of defective products in the production line, and when it reaches the threshold line, it needs to be shut down for maintenance.

不同于现有技术的基于设备级的故障预测和维修决策,本发明实施方式的智能制造产线的多级维修决策建模方法考虑多故障及其随机依赖性、多部件及其结构依赖性、多设备及其经济依赖性,按模块化思想,综合多级依赖性建模,自下而上地分析和构建一级故障分布模型、二级部件寿命模型、三级设备可用度模型和四级产线效益模型,为企业搭建维修决策模型提供技术支持。Different from the fault prediction and maintenance decision-making based on equipment level in the prior art, the multi-level maintenance decision-making modeling method of the intelligent manufacturing production line in the embodiment of the present invention considers multiple faults and their random dependencies, multiple components and their structural dependencies, Multi-equipment and its economic dependence, according to the idea of modularization, comprehensive multi-level dependency modeling, bottom-up analysis and construction of the first-level fault distribution model, the second-level component life model, the third-level equipment availability model and the fourth-level The production line benefit model provides technical support for enterprises to build maintenance decision models.

为了应用本发明实施方式的多级维修决策建模方法,可以首先借助FMEA(FailureMode and Effect Analysis,失效模式和影响分析)、FTA(Fault Tree Analysis,故障树分析)等手段,自顶向下开展产线→设备→部件→故障模式分解;对于关键故障模式(以下也简称故障),将其分为退化故障和功能故障两类,前者通过设备的传感监测或维保检测等可直接或间接地“发现”退化故障过程和程度;过程无法“发现”的故障都归为功能故障。例如:机器人的伺服电机匝间绝缘短路、轴承磨损等,从机理上都属于退化型故障,但需要在线安装电流/振动传感器,或保养过程定期用专用离线装置测试才能发现,设备配备有在线监测或定期维保测试的则归为退化故障,否则归为功能故障。In order to apply the multi-level maintenance decision-making modeling method of the embodiment of the present invention, firstly, by means of FMEA (Failure Mode and Effect Analysis, failure mode and impact analysis), FTA (Fault Tree Analysis, fault tree analysis) and other means, carry out from top to bottom Production line→equipment→component→decomposition of failure modes; for key failure modes (hereinafter referred to as failures), they are divided into two types: degradation failures and functional failures. The former can be directly or indirectly detected through equipment sensor monitoring or maintenance detection "Discover" the degeneration fault process and degree; the faults that cannot be "discovered" by the process are classified as functional faults. For example: inter-turn insulation short circuit of robot servo motor, bearing wear, etc., are all degenerate faults in mechanism, but need to install current/vibration sensors online, or use special offline device tests regularly during maintenance to find out. The equipment is equipped with online monitoring Or regular maintenance testing is classified as a degradation failure, otherwise it is classified as a functional failure.

图1是本发明实施方式的智能制造产线的多级维修决策建模方法的流程图。如图1所示,本发明实施方式的智能制造产线的多级维修决策建模方法包括步骤S1-S5。Fig. 1 is a flowchart of a multi-level maintenance decision modeling method for an intelligent manufacturing production line according to an embodiment of the present invention. As shown in FIG. 1 , the multi-level maintenance decision modeling method for an intelligent manufacturing production line according to an embodiment of the present invention includes steps S1-S5.

步骤S1:故障时间分布获得步骤Step S1: Obtaining step of failure time distribution

在该步骤中,利用部件Cij的历史故障数据,获得部件Cij的功能故障的故障时间分布和退化故障的故障时间分布。In this step, using the historical fault data of the component C ij , the fault time distribution of the functional fault and the fault time distribution of the degenerative fault of the component C ij are obtained.

在一个实施例中,利用通过设备的在线监测或维保的定期测试等部件的历史故障数据,通过寿命预测算法,获得关键故障的“故障分布模型”,即故障时间分布,如对于功能故障,通过历史同类故障发生时刻的随机过程建模,构建功能故障的故障时间分布函数PDF1;对于退化故障,采用基于机理或数据驱动的方法,构建退化模型,获得退化故障的故障时间分布函数PDF2。利用故障分布模型,可以获得不同时刻的故障概率,综合故障后果(如严酷度),计算对应的故障风险。In one embodiment, the "fault distribution model" of key faults, that is, the fault time distribution, is obtained by using the historical fault data of components such as on-line monitoring of equipment or periodic testing of maintenance, through life prediction algorithms, such as for functional faults, By modeling the stochastic process at the occurrence time of similar faults in history, the fault time distribution function PDF 1 of functional faults is constructed; for degenerate faults, a mechanism-based or data-driven method is used to construct a degradation model to obtain the fault time distribution function PDF 2 of degenerate faults . Using the fault distribution model, the fault probability at different moments can be obtained, and the fault consequences (such as severity) can be integrated to calculate the corresponding fault risk.

步骤S2:部件寿命模型构建步骤Step S2: Construction steps of component life model

在该步骤中,根据部件Cij的所有功能故障的故障时间分布,构建部件Cij的基于多功能故障随机依赖性的功能寿命模型

Figure GDA0004144167730000071
根据部件Cij的相互影响的多个退化故障的故障时间分布,构建部件Cij的基于多退化故障随机依赖性的退化寿命模型
Figure GDA0004144167730000072
In this step, according to the failure time distribution of all functional failures of components C ij , a functional life model based on the random dependence of multifunctional failures of components C ij is constructed
Figure GDA0004144167730000071
According to the failure time distribution of multiple degraded faults of components C ij interacting with each other, a degradation life model based on the random dependence of multiple degraded faults of components C ij is constructed
Figure GDA0004144167730000072

在一个实施例中,针对关键部件(如机器人的滑动导轨、减速器、伺服电机等功能部件),构建基于多故障随机依赖性的“部件寿命模型”。In one embodiment, a "component life model" based on multiple fault stochastic dependencies is constructed for key components (such as functional components such as sliding guide rails of robots, reducers, and servo motors).

在部件寿命模型构建中,首先考虑多个功能故障之间的随机依赖性,对于功能故障

Figure GDA0004144167730000073
Figure GDA0004144167730000079
为部件Cij的功能故障数,通过故障时间分布获得步骤S1获得
Figure GDA0004144167730000074
Figure GDA0004144167730000075
的故障时间分布,对所有功能故障的故障时间分布分别进行蒙特卡洛抽样
Figure GDA0004144167730000076
假如对每个功能故障的故障时间分布进行z次蒙特卡洛抽样,一般地z>10000。取每个分布的第w次抽样样本xijk,w,考虑功能故障的竞争失效关系(即任一功能故障发生,设备停机),最早发生(抽样时间最小)的故障
Figure GDA0004144167730000077
组成统计量Xij=min{xij,1,...,xij,w,....,xij,z},用合适的分布进行拟合,获得部件功能寿命模型
Figure GDA0004144167730000078
In the construction of component life model, the random dependence between multiple functional failures is first considered, for functional failure
Figure GDA0004144167730000073
Figure GDA0004144167730000079
is the number of functional failures of component C ij , obtained through step S1 of obtaining the distribution of failure time
Figure GDA0004144167730000074
for
Figure GDA0004144167730000075
The failure time distribution of all functional failures, Monte Carlo sampling is performed on the failure time distribution of all functional failures
Figure GDA0004144167730000076
If the failure time distribution of each functional failure is subjected to z Monte Carlo sampling, generally z>10000. Take the wth sampling sample x ijk, w of each distribution, consider the competitive failure relationship of functional failures (that is, any functional failure occurs, and the equipment stops), the failure that occurs earliest (minimum sampling time)
Figure GDA0004144167730000077
Composition statistic X ij = min{x ij, 1 ,..., x ij, w ,..., x ij, z }, fit with a suitable distribution to obtain the component functional life model
Figure GDA0004144167730000078

在部件寿命模型构建中,其次考虑多个退化故障之间的随机依赖性。考虑性能退化不是单一退化,往往是整体退化,大部分时候同一部件的退化过程呈现相关性(多为正相关)。例如,对于机器人的伺服电机,电机润滑脂丧失越多,轴承磨损加剧,电机振动就会增大,轴承性能下载导致效率下降、发热增加,温度也会随着上升,导致其他形变和绝缘问题等,这里振动和温升两个监测量就是正相关退化故障。由于退化越严重,故障风险越高,将退化量的影响关系通过故障概率进行刻画,那么相互影响的两个或多个退化故障,可构建其多元联合分布函数,通过协方差矩阵或相关系数等衡量关联性大小。在一个例子中,对于相互影响的2个退化故障

Figure GDA0004144167730000081
Figure GDA0004144167730000082
其中
Figure GDA0004144167730000083
为部件Cij的退化故障数,通过步骤S1获得退化故障
Figure GDA0004144167730000084
Figure GDA0004144167730000085
的故障时间分布
Figure GDA0004144167730000086
Figure GDA00041441677300000813
Figure GDA0004144167730000087
表示其联合分布,σlk为协方差矩阵,衡量随机依赖性程度。依次类推2个以上故障情形,构建部件退化寿命模型。In the construction of the component life model, the stochastic dependence among multiple degradation faults is secondly considered. Considering that performance degradation is not a single degradation, it is often an overall degradation, and most of the time the degradation process of the same component is correlated (mostly positive correlation). For example, for the servo motor of a robot, the more the motor grease is lost, the bearing wear will increase, and the vibration of the motor will increase. The performance of the bearing will lead to a decrease in efficiency, an increase in heat generation, and an increase in temperature, resulting in other deformation and insulation problems, etc. , where the two monitoring quantities of vibration and temperature rise are positive correlation degradation faults. Since the more serious the degradation, the higher the risk of failure, the influence relationship of the degradation quantity is described by the failure probability, then two or more degraded failures that affect each other can construct their multivariate joint distribution function, through the covariance matrix or correlation coefficient, etc. Measure the size of the correlation. In one example, for 2 degenerate faults affecting each other
Figure GDA0004144167730000081
and
Figure GDA0004144167730000082
in
Figure GDA0004144167730000083
is the number of degenerate faults of component C ij , the degenerate faults are obtained through step S1
Figure GDA0004144167730000084
and
Figure GDA0004144167730000085
The failure time distribution of
Figure GDA0004144167730000086
and
Figure GDA00041441677300000813
Figure GDA0004144167730000087
Represents its joint distribution, σ lk is the covariance matrix, which measures the degree of random dependence. By analogy with more than two fault situations, a component degradation life model is constructed.

在部件寿命模型构建中,还进一步考虑功能故障和退化故障之间的随机依赖性。功能故障的发生将一定概率加剧具有依赖性的退化故障的发生风险。例如伺服电机供电异常多是随机发生,属于功能故障,而发生供电异常将有导致绝缘等退化故障的风险。关于功能故障和退化故障的随机依赖性,考虑功能故障不改变退化故障的分布类型(如正态分布),但功能故障的发生会以一定概率按一定比例减小退化故障时间的均值同时增大其方差,由此获得修正的退化寿命模型

Figure GDA0004144167730000088
In the construction of component life model, the stochastic dependence between functional failure and degradation failure is further considered. The occurrence of functional failures will increase the risk of dependent degenerate failures with a certain probability. For example, the abnormal power supply of servo motors occurs randomly and is a functional failure, and the abnormal power supply will cause the risk of degradation failures such as insulation. Regarding the random dependence of functional faults and degenerate faults, considering functional faults does not change the distribution type of degenerate faults (such as normal distribution), but the occurrence of functional faults will reduce the mean value of degenerate fault time with a certain probability and increase at the same time Its variance, thus obtaining the modified degradation life model
Figure GDA0004144167730000088

步骤S3:设备可用度模型构建步骤Step S3: Construction steps of equipment availability model

在该步骤中,根据部件Cij的功能寿命模型

Figure GDA0004144167730000089
构建设备Ei的基于多部件功能结构依赖性的功能可用度模型Ai(t),根据部件Cij的退化寿命模型
Figure GDA00041441677300000810
构建设备Ei的基于多部件性能结构依赖性的性能可用度模型Bi(t)和性能可用度惩罚模型ABi(t)。In this step, according to the functional lifetime model of component C ij
Figure GDA0004144167730000089
Construct the functional availability model A i (t) of the equipment E i based on the multi-component functional structure dependence, according to the degradation life model of the component C ij
Figure GDA00041441677300000810
Construct the performance availability model B i (t) and the performance availability penalty model AB i (t) of the equipment E i based on the multi-component performance structure dependence.

在一个实施例中,针对关键设备(例如小型生产线的机器人和数控机床),构建基于多部件结构依赖性的三级设备可用度模型。In one embodiment, for key equipment (such as robots and CNC machine tools in small production lines), a three-level equipment availability model based on multi-component structure dependencies is constructed.

具体地,在设备可用度模型构建中,在时刻t:Specifically, in the construction of the equipment availability model, at time t:

例如通过前述的蒙特卡洛抽样后取小的方法将各部件的功能寿命模型

Figure GDA00041441677300000811
融合为单个设备的功能模型
Figure GDA00041441677300000812
计算设备在时刻t的预期功能故障时长为
Figure GDA0004144167730000091
设备功能正常工作时间预期为Γ(t)=t-αi(t),设备功能可用度模型
Figure GDA0004144167730000092
在0~Γ(t)内,根据各部件的退化寿命模型,计算各部件Cij在Γ(t)内的预期退化故障时长
Figure GDA0004144167730000093
设备Ei的性能故障时间为
Figure GDA0004144167730000094
设备性能可用度模型
Figure GDA0004144167730000095
在Γ(t)-βi(t)~Γ(t)之间,设备“带病运行”,考虑部件性能影响设备的生产质量,引入ωij作为部件Cij的性能对设备生产质量的影响因子,退化越严重对生产质量的影响越大,ωij是t的增函数,随
Figure GDA0004144167730000096
的增大而增大;因此,随着时间推进,第一个部件到达退化寿命,引入第一个ωij,若不维修,第二个部件退化超差,引入第二个ωij,多部件的影响累加(如线性累加),依次类推,得到设备性能可用度惩罚模型,设备性能可用度惩罚模型ABi(t)是一个分段函数:For example, the function life model of each component can be calculated by the above-mentioned Monte Carlo sampling and taking a small method
Figure GDA00041441677300000811
Functional models fused into a single device
Figure GDA00041441677300000812
The expected functional failure duration of computing equipment at time t is
Figure GDA0004144167730000091
The normal working time of equipment function is expected to be Γ(t)=t-α i (t), and the equipment function availability model
Figure GDA0004144167730000092
Within 0~Γ(t), according to the degradation life model of each component, calculate the expected degradation failure time of each component C ij within Γ(t)
Figure GDA0004144167730000093
The performance failure time of equipment E i is
Figure GDA0004144167730000094
Equipment Performance Availability Model
Figure GDA0004144167730000095
Between Γ(t) -βi (t)~Γ(t), the equipment "operates with a disease", considering that the performance of components affects the production quality of the equipment, and introduces ω ij as the impact of the performance of the component C ij on the production quality of the equipment Factor, the more serious the degradation, the greater the impact on production quality, ω ij is an increasing function of t, with
Figure GDA0004144167730000096
Therefore, as time progresses, the first component reaches the degradation life, and the first ω ij is introduced. If it is not repaired, the degradation of the second component is out of tolerance, and the second ω ij is introduced, and the multi-component The impact accumulation (such as linear accumulation), and so on, to obtain the equipment performance availability penalty model, the equipment performance availability penalty model AB i (t) is a piecewise function:

Figure GDA0004144167730000097
Figure GDA0004144167730000097

这里,βi(k)(t)中的(k)表示

Figure GDA0004144167730000098
的顺序统计量,即从大到小排序的第k个,
Figure GDA0004144167730000099
即为βi(1)(t)。Here, (k) in β i(k) (t) means
Figure GDA0004144167730000098
The order statistics of , that is, the kth sorted from large to small,
Figure GDA0004144167730000099
That is, β i(1) (t).

根据设备Ei的性能可用度惩罚模型ABi(t),可以得到设备Ei在某时刻t的惩罚因子。According to the performance availability penalty model AB i (t) of the equipment E i , the penalty factor of the equipment E i at a certain time t can be obtained.

步骤S4:产线效益模型构建步骤Step S4: Construction steps of production line benefit model

在该步骤中,利用设备Ei的功能可用度模型Ai(t),计算产线由于功能故障导致的损失;利用设备Ei的性能可用度模型Bi(t)和性能可用度惩罚模型ABi(t),计算产线由于退化故障导致的损失,根据产线由于功能故障和退化故障导致的损失,构建基于多设备经济依赖性的产线效益模型。In this step, use the functional availability model A i (t) of equipment E i to calculate the loss of the production line due to functional failure; use the performance availability model B i ( t) and performance availability penalty model of equipment E i AB i (t), calculate the loss caused by the degradation failure of the production line, and construct the production line benefit model based on the economic dependence of multiple equipment according to the loss caused by the functional failure and degradation failure of the production line.

在所述产线效益模型构建步骤中,根据功能可用度模型Ai(t)和性能可用度模型Bi(t)获得预期故障时间点,根据各设备之间的串并联关系以及性能可用度惩罚模型ABi(t),计算各预期故障时间点之间的时间段内的损失。In the construction step of the production line benefit model, the expected failure time point is obtained according to the function availability model A i (t) and the performance availability model B i (t), and according to the series-parallel relationship between each device and the performance availability Penalize the model AB i (t), calculating the loss in the time period between each expected failure time point.

在智能制造产线中,各设备之间的连接关系不同,设备故障导致产线损失不同。例如在前述的小型生产线的例子中,产线包括1个机器人和4台机床1-4,机器人与4台机床之间为串联关系,4台机床之间两两串联而后并联,例如机床1与机床2串联、机床3与机床4串联,两个串联分支并联。在此连接关系下,若机器人功能故障,则全线停产,可用度小于机器人的所有设备有效工作时间与机器人相同;若机床1停产,则机床2停产,产线产能减半。通过各设备的可用度以及各设备之间的串并联关系,进行产线产能分析。In the intelligent manufacturing production line, the connection relationship between each device is different, and the loss of the production line caused by equipment failure is different. For example, in the aforementioned example of a small production line, the production line includes 1 robot and 4 machine tools 1-4, the relationship between the robot and the 4 machine tools is in series, and the 4 machine tools are connected in series and then in parallel. For example, machine tool 1 and Machine tool 2 is connected in series, machine tool 3 is connected in series with machine tool 4, and the two series branches are connected in parallel. Under this connection relationship, if the function of the robot fails, the entire production line will be shut down, and the effective working time of all equipment with availability less than the robot is the same as that of the robot; if the machine tool 1 is shut down, the machine tool 2 will be shut down, and the production line capacity will be halved. Through the availability of each equipment and the series-parallel relationship between each equipment, the production line capacity analysis is carried out.

图2是本发明一种实施方式的产线效益模型的原理说明图。如图2所示,开始时所有设备正常,可用度和产能均为100%;时间t1时,机床2退化故障,则机床2的产能下降为100%-AB2,AB2为该时刻机床2的惩罚因子;时间t2时,机床1功能故障,则机床1产能为0,机床2由于与机床1为串联关系,停机产能也为0%;机器人产能减半;到t3和t4,机床3和机床4分别发生退化故障,各自产能下降,机床3和机床4串联组成的分支的惩罚因子累加。最后t5机器人功能故障,全线停产。由此,获得每个时间区间内的设备功能可用度和性能可用度。在维修决策寻优过程中,t1、t2、t3、t4、t5等时间点是根据功能可用度模型Ai(t)和性能可用度模型Bi(t)获得的预期故障时间点。Fig. 2 is an explanatory diagram of the principle of a production line efficiency model according to an embodiment of the present invention. As shown in Figure 2, all equipment is normal at the beginning , and the availability and production capacity are both 100%. penalty factor of ; at time t2, if machine tool 1 fails, the production capacity of machine tool 1 is 0, and machine tool 2 is in series with machine tool 1, so the production capacity of machine tool 1 is also 0%; the production capacity of the robot is halved; at t3 and t4, machine tool 3 and Machine tool 4 has degraded faults respectively, and their production capacity decreases, and the penalty factor of the branch composed of machine tool 3 and machine tool 4 connected in series is accumulated. In the end, the function of the t5 robot failed, and the entire line was discontinued. Thus, the device function availability and performance availability in each time interval are obtained. In the maintenance decision optimization process, time points such as t1, t2, t3, t4, and t5 are the expected failure time points obtained according to the functional availability model A i (t) and the performance availability model B i (t).

在所述产线效益模型构建步骤中,利用设备Ei的功能可用度模型Ai(t),计算各预期故障时间段的产量损失,产量损失为某时间段内的产线可用度与额定生产率X的乘积,在图3中的时间t2-t5,功能故障导致的产量损失CA2-5为50%*(t5-t2)*X,t5之后损失100%;利用设备Ei性能可用度模型Bi(t)和性能可用度惩罚模型ABi(t),计算由于生产不合格品导致的损失CB1-2=0.5X*AB2,0.5X代表并联分支只负责一半产能;同理CB4-5=0.5X*(AB3+AB4)。In the construction step of the production line benefit model, the functional availability model A i (t) of the equipment E i is used to calculate the output loss of each expected failure time period, and the output loss is the difference between the production line availability and the rated The product of productivity X, at time t2-t5 in Fig. 3, yield loss CA 2-5 due to functional failure is 50%*(t5-t2)*X, loss after t5 is 100%; utilizing equipment E i performance availability Model B i (t) and performance availability penalty model AB i (t), calculate the loss caused by the production of substandard products CB 1-2 = 0.5X*AB 2 , 0.5X means that the parallel branch is only responsible for half of the production capacity; similarly CB 4-5 =0.5X*(AB 3 +AB 4 ).

在产线效益中,首先可以统计获得多设备的经济依赖性,即每一次维修都将产生一个固定成本C0,固定成本不随维修对象的多少而变化,取决于人员/调度等固定部分以及等待维修的停机损失等。一般事后维修的等待时间要远长于预测维修,因此事后维修固定成本要远高于预防维修的固定成本。In the production line benefit, the economic dependence of multiple devices can be obtained statistically, that is, each maintenance will generate a fixed cost C 0 , and the fixed cost does not change with the number of maintenance objects, but depends on fixed parts such as personnel/scheduling and waiting Downtime loss for maintenance, etc. Generally, the waiting time for after-event maintenance is much longer than that for predictive maintenance, so the fixed cost of after-event maintenance is much higher than that of preventive maintenance.

在产线效益中,其次考虑多设备组合维修下的生产损失C1,C1为多设备并行维修的最长时间*设备生产率;以及考虑更换具体部件或维修具体故障模式的备件和维修成本C2In production line benefits, secondly consider the production loss C 1 under multi-equipment combined maintenance, where C 1 is the maximum time for multi-equipment parallel maintenance*equipment productivity; and consider replacement of specific components or maintenance of specific failure modes of spare parts and maintenance costs C 2 .

正常工作下的产线效益t*X,扣掉上述由于功能故障和退化故障导致的损失、固定成本C0、生产损失C1和维修成本C2等,获得产线效益。Production line benefit t*X under normal operation, after deducting the above-mentioned loss due to functional failure and degradation failure, fixed cost C 0 , production loss C 1 and maintenance cost C 2 , etc., the production line benefit is obtained.

步骤S5:维修决策获得步骤Step S5: Maintenance Decision Obtaining Step

在该步骤中,根据产线要求的约束条件,对所述产线效益模型进行优化求解,获得使产线效益最大化的维修决策。In this step, according to the constraints required by the production line, the optimization and solution of the production line benefit model is carried out to obtain a maintenance decision that maximizes the production line benefit.

具体地,在构建产线效益模型的基础上,根据重大功能故障等安全生产要求(例如致命故障始终小于规定值)、不良品率的质量管控要求(例如任意时间的不良品率低于规定值)、月产量要求(例如每个月保持基础产量效益)、关键设备可用度要求(关键设备功能可用度必须大于规定值)等产线要求添加相关约束;根据产线排产情况,选取合适的时间段,以维修时间、维修故障或维修部件为优化变量,利用动态求解等优化算法,对产线效益模型进行寻优求解,获得约束条件下,最大化产线效益的维修时间和维修对象等维修决策。Specifically, on the basis of building the production line benefit model, according to safety production requirements such as major functional failures (for example, fatal failures are always less than the specified value), quality control requirements for defective product rate (for example, the defective product rate at any time is lower than the specified value ), monthly output requirements (such as maintaining basic output benefits every month), key equipment availability requirements (key equipment function availability must be greater than the specified value) and other production line requirements to add relevant constraints; according to the production line scheduling situation, select the appropriate Time period, using maintenance time, maintenance failures or maintenance parts as optimization variables, using optimization algorithms such as dynamic solving, to optimize and solve the production line benefit model, and obtain the maintenance time and maintenance objects that maximize the production line benefit under constraint conditions, etc. maintenance decisions.

综上所述,本发明实施方式的智能制造产线的多级维修决策建模方法能够构建智能制造产线的多级维修模型,为智能制造环境下的产线主动运维提供技术支撑,减少意外停机,最大化产线效益。In summary, the multi-level maintenance decision-making modeling method of the intelligent manufacturing production line in the embodiment of the present invention can build a multi-level maintenance model of the intelligent manufacturing production line, provide technical support for the active operation and maintenance of the production line in the intelligent manufacturing environment, and reduce Unplanned downtime to maximize production line efficiency.

本发明的实施方式还提供一种智能制造产线的多级维修决策建模装置。图3是本发明一种实施方式的智能制造产线的多级维修决策建模装置的结构图。如图3所示,本实施方式的智能制造产线的多级维修决策建模装置包括:Embodiments of the present invention also provide a multi-level maintenance decision-making modeling device for an intelligent manufacturing production line. Fig. 3 is a structural diagram of a multi-level maintenance decision modeling device for an intelligent manufacturing production line according to an embodiment of the present invention. As shown in Figure 3, the multi-level maintenance decision-making modeling device of the intelligent manufacturing production line in this embodiment includes:

故障时间分布获得模块101:利用部件Cij的历史故障数据,获得部件Cij的功能故障的故障时间分布和退化故障的故障时间分布;Failure time distribution obtaining module 101: use the historical failure data of component C ij to obtain the failure time distribution of functional failure and the failure time distribution of degraded failure of component C ij ;

部件寿命模型构建模块102,根据部件Cij的所有功能故障的故障时间分布,构建部件Cij的基于多功能故障随机依赖性的功能寿命模型

Figure GDA0004144167730000121
根据部件Cij的相互影响的多个退化故障的故障时间分布,构建部件Cij的基于多退化故障随机依赖性的退化寿命模型
Figure GDA0004144167730000122
The component life model construction module 102, according to the failure time distribution of all functional failures of the component C ij , constructs the functional life model of the component C ij based on the random dependency of the multifunctional failure
Figure GDA0004144167730000121
According to the failure time distribution of multiple degraded faults of components C ij interacting with each other, a degradation life model based on the random dependence of multiple degraded faults of components C ij is constructed
Figure GDA0004144167730000122

设备可用度模型构建模块103,根据部件Cij的功能寿命模型

Figure GDA0004144167730000123
构建设备Ei的基于多部件功能结构依赖性的功能可用度模型Ai(t),根据部件Cij的退化寿命模型
Figure GDA0004144167730000124
构建设备Ei的基于多部件性能结构依赖性的性能可用度模型Bi(t)和性能可用度惩罚模型ABi(t),其中,t为时刻;Equipment availability model building block 103, according to the functional life model of component C ij
Figure GDA0004144167730000123
Construct the functional availability model A i (t) of the equipment E i based on the multi-component functional structure dependence, according to the degradation life model of the component C ij
Figure GDA0004144167730000124
Construct the performance availability model B i (t) and the performance availability penalty model AB i (t) based on multi-component performance structure dependence of the equipment E i , where t is the moment;

产线效益模型构建模块104,利用设备Ei的功能可用度模型Ai(t),计算产线由于功能故障导致的损失;利用设备Ei的性能可用度模型Bi(t)和性能可用度惩罚模型ABi(t),计算产线由于退化故障导致的损失,根据产线由于功能故障和退化故障导致的损失,构建基于多设备经济依赖性的产线效益模型;The production line benefit model building block 104 uses the functional availability model A i (t) of the equipment E i to calculate the loss of the production line due to functional failure; uses the performance availability model B i ( t) and performance availability of the equipment E i Degree penalty model AB i (t), calculate the loss caused by the degradation fault of the production line, and construct the production line benefit model based on the economic dependence of multiple equipment according to the loss caused by the functional fault and degradation fault of the production line;

维修决策获得模块105,根据产线要求的约束条件,对所述产线效益模型进行优化求解,获得使产线效益最大化的维修决策。The maintenance decision obtaining module 105 optimizes and solves the production line benefit model according to the constraint conditions required by the production line, and obtains a maintenance decision that maximizes the production line benefit.

本实施方式的智能制造产线的多级维修决策建模装置的具体实施例可以参见上文中对于智能制造产线的多级维修决策建模方法的限定,在此不再赘述。上述智能制造产线的多级维修决策建模装置中的各个模块可全部或部分通过软件、硬件及其组合来实现。上述各模块可以硬件形式内嵌于或独立于计算机设备中的处理器中,也可以以软件形式存储于计算机设备中的存储器中,以便于处理器调用执行以上各个模块对应的操作。For specific examples of the multi-level maintenance decision modeling device for an intelligent manufacturing production line in this embodiment, refer to the above definition of the multi-level maintenance decision modeling method for an intelligent manufacturing production line, and details will not be repeated here. Each module in the above-mentioned multi-level maintenance decision-making modeling device of the intelligent manufacturing production line can be fully or partially realized by software, hardware and combinations thereof. The above-mentioned modules can be embedded in or independent of the processor in the computer device in the form of hardware, and can also be stored in the memory of the computer device in the form of software, so that the processor can invoke and execute the corresponding operations of the above-mentioned modules.

本发明的实施方式还提供一种计算机设备,该计算机设备可以是服务器,其内部结构图可以如图4所示。该计算机设备包括通过系统总线连接的处理器、存储器和网络接口。其中,该计算机设备的处理器用于提供计算和控制能力。该计算机设备的存储器包括非易失性存储介质、内存储器。该非易失性存储介质存储有操作系统、计算机程序和数据库。该内存储器为非易失性存储介质中的操作系统和计算机程序的运行提供环境。该计算机设备的数据库用于存储各个框架的运行参数数据。该计算机设备的网络接口用于与外部的终端通过网络连接通信。该计算机程序被处理器执行时以实现本实施方式的智能制造产线的多级维修决策建模方法的步骤。Embodiments of the present invention also provide a computer device, which may be a server, and its internal structure may be as shown in FIG. 4 . The computer device includes a processor, memory and a network interface connected by a system bus. Wherein, the processor of the computer device is used to provide calculation and control capabilities. The memory of the computer device includes a non-volatile storage medium and an internal memory. The non-volatile storage medium stores an operating system, computer programs and databases. The internal memory provides an environment for the operation of the operating system and computer programs in the non-volatile storage medium. The database of the computer device is used to store the operating parameter data of each frame. The network interface of the computer device is used to communicate with an external terminal via a network connection. When the computer program is executed by the processor, the steps of the multi-level maintenance decision-making modeling method of the intelligent manufacturing production line in this embodiment are realized.

本领域技术人员可以理解,图4中示出的结构,仅仅是与本申请方案相关的部分结构的框图,并不构成对本申请方案所应用于其上的计算机设备的限定,具体的计算机设备可以包括比图中所示更多或更少的部件,或者组合某些部件,或者具有不同的部件布置。Those skilled in the art can understand that the structure shown in Figure 4 is only a block diagram of a part of the structure related to the solution of the present application, and does not constitute a limitation to the computer equipment on which the solution of the application is applied. The specific computer equipment can be More or fewer components than shown in the figures may be included, or some components may be combined, or have a different arrangement of components.

本发明的实施方式还提供一种计算机可读存储介质,其上存储有计算机程序,其特征在于,所述计算机程序被处理器执行时实现本发明实施方式的智能制造产线的多级维修决策建模方法的步骤。The embodiment of the present invention also provides a computer-readable storage medium, on which a computer program is stored, wherein when the computer program is executed by a processor, the multi-level maintenance decision of the intelligent manufacturing production line according to the embodiment of the present invention is realized Steps in the modeling method.

以上只通过说明的方式描述了本发明的某些示范性实施例,毋庸置疑,对于本领域的普通技术人员,在不偏离本发明的精神和范围的情况下,可以用各种不同的方式对所描述的实施例进行修正。因此,上述附图和描述在本质上是说明性的,不应理解为对本发明权利要求保护范围的限制。Certain exemplary embodiments of the present invention have been described above only by way of illustration, and it goes without saying that those skilled in the art can use various methods without departing from the spirit and scope of the present invention. The described embodiments are modified. Therefore, the above drawings and descriptions are illustrative in nature and should not be construed as limiting the protection scope of the claims of the present invention.

Claims (10)

1.一种智能制造产线的多级维修决策建模方法,所述智能制造产线包括m个设备Ei,i=1,...,m,每个设备Ei具有ni个部件Cij,j=1,...,ni,其特征在于,所述方法包括:1. A multi-level maintenance decision modeling method for an intelligent manufacturing production line, the intelligent manufacturing production line includes m equipment E i , i=1,..., m, each equipment E i has n i parts C ij , j=1,...,n i , characterized in that the method includes: 故障时间分布获得步骤:利用部件Cij的历史故障数据,获得部件Cij的功能故障的故障时间分布和退化故障的故障时间分布;Obtaining the fault time distribution step: using the historical fault data of the component C ij to obtain the fault time distribution of the functional fault and the fault time distribution of the degraded fault of the component C ij ; 部件寿命模型构建步骤,根据部件Cij的所有功能故障的故障时间分布,构建部件Cij的基于多功能故障随机依赖性的功能寿命模型
Figure FDA0004143949820000011
根据部件Cij的相互影响的多个退化故障的故障时间分布,构建部件Cij的基于多退化故障随机依赖性的退化寿命模型
Figure FDA0004143949820000012
The component life model construction step, according to the failure time distribution of all functional failures of the component C ij , constructs the functional life model of the component C ij based on the random dependence of the multifunctional faults
Figure FDA0004143949820000011
According to the failure time distribution of multiple degraded faults of components C ij interacting with each other, a degradation life model based on the random dependence of multiple degraded faults of components C ij is constructed
Figure FDA0004143949820000012
设备可用度模型构建步骤,根据部件Cij的功能寿命模型
Figure FDA0004143949820000013
构建设备Ei的基于多部件功能结构依赖性的功能可用度模型Ai(t),根据部件Cij的退化寿命模型
Figure FDA0004143949820000014
构建设备Ei的基于多部件性能结构依赖性的性能可用度模型Bi(t)和性能可用度惩罚模型ABi(t),其中,t为时刻;
Equipment availability model construction steps, according to the functional life model of component C ij
Figure FDA0004143949820000013
Construct the functional availability model A i (t) of the equipment E i based on the multi-component functional structure dependence, according to the degradation life model of the component C ij
Figure FDA0004143949820000014
Construct the performance availability model B i (t) and the performance availability penalty model AB i (t) based on multi-component performance structure dependence of the equipment E i , where t is the moment;
产线效益模型构建步骤,利用设备Ei的功能可用度模型Ai(t),计算产线由于功能故障导致的损失;利用设备Ei的性能可用度模型Bi(t)和性能可用度惩罚模型ABi(t),计算产线由于退化故障导致的损失,根据产线由于功能故障和退化故障导致的损失,构建基于多设备经济依赖性的产线效益模型;维修决策获得步骤,根据产线要求的约束条件,对所述产线效益模型进行优化求解,获得使产线效益最大化的维修决策,The production line benefit model construction step uses the functional availability model A i (t) of the equipment E i to calculate the loss of the production line due to functional failure; uses the performance availability model B i (t) of the equipment E i and the performance availability The penalty model AB i (t) calculates the loss of the production line due to the degradation fault, and constructs the production line benefit model based on the economic dependence of multiple equipment according to the loss of the production line due to the functional fault and the degradation fault; The constraint conditions required by the production line are optimized and solved for the production line benefit model, and the maintenance decision that maximizes the production line benefit is obtained. 在设备可用度模型构建步骤中,将部件Cij的功能寿命模型
Figure FDA0004143949820000021
融合为设备Ei的功能模型
Figure FDA0004143949820000022
计算设备在时刻t的预期功能故障时长
Figure FDA0004143949820000023
得到设备Ei的功能可用度
Figure FDA0004143949820000024
In the construction step of the equipment availability model, the functional life model of the component C ij
Figure FDA0004143949820000021
fused as a functional model of device E i
Figure FDA0004143949820000022
Calculate the expected functional failure time of the equipment at time t
Figure FDA0004143949820000023
Get the functional availability of equipment E i
Figure FDA0004143949820000024
2.如权利要求1所述的方法,其特征在于,在设备可用度模型构建步骤中,计算部件Cij在Γ(t)内的预期退化故障时长
Figure FDA0004143949820000025
得到设备Ei的性能故障时间
Figure FDA0004143949820000026
从而得到设备Ei的性能可用度模型
Figure FDA0004143949820000027
2. The method as claimed in claim 1, characterized in that, in the equipment availability model building step, the expected degradation failure duration of the calculation component Cij in Γ(t)
Figure FDA0004143949820000025
Get the performance failure time of equipment E i
Figure FDA0004143949820000026
Thus, the performance availability model of equipment E i is obtained
Figure FDA0004143949820000027
其中,Γ(t)为设备Ei的预期功能正常时间,Among them, Γ(t) is the expected functional normal time of equipment E i , Γ(t)=t-αi(t)。Γ(t)=t−α i (t).
3.如权利要求2所述的方法,其特征在于,在设备可用度模型构建步骤中,如下构建设备Ei的性能可用度惩罚模型ABi(t):3. The method according to claim 2, characterized in that, in the equipment availability model building step, the performance availability penalty model AB i (t) of the equipment E i is constructed as follows:
Figure FDA0004143949820000031
Figure FDA0004143949820000031
其中,ωij是部件Cij的性能对设备Ei的生产质量的影响因子。Among them, ω ij is the influence factor of the performance of component C ij on the production quality of equipment E i .
4.如权利要求1-3中任一项所述的方法,其特征在于,在所述产线效益模型构建步骤中,根据功能可用度模型Ai(t)和性能可用度模型Bi(t)获得预期故障时间点,根据各设备之间的串并联关系以及性能可用度惩罚模型ABi(t),计算各预期故障时间点之间的时间段内的损失。4. The method according to any one of claims 1-3, wherein, in the construction step of the production line benefit model, according to the function availability model A i (t) and the performance availability model B i ( t) Obtain the expected failure time point, and calculate the loss within the time period between each expected failure time point according to the series-parallel connection relationship between each device and the performance availability penalty model AB i (t). 5.如权利要求1-3中任一项所述的方法,其特征在于,在所述部件寿命模型构建步骤中,对所有功能故障的故障时间分布分别进行蒙特卡洛抽样,取每个分布的第w次抽样样本中最早发生的故障组成统计量5. The method according to any one of claims 1-3, characterized in that, in the component life model building step, Monte Carlo sampling is carried out respectively to the time-to-failure distributions of all functional failures, and each distribution is taken The earliest fault composition statistics in the wth sampling sample of Xij=min{xij,1,...,Xij,w,....,xij,z},通过对该统计量进行拟合,得到功能寿命模型
Figure FDA0004143949820000032
其中,z为蒙特卡洛抽样次数,z>10000。
X ij =min{x ij, 1 ,...,X ij, w ,..., x ij, z }, by fitting this statistic, the functional life model is obtained
Figure FDA0004143949820000032
Among them, z is the number of Monte Carlo sampling, z>10000.
6.如权利要求1-3中任一项所述的方法,其特征在于,在所述部件寿命模型构建步骤中,针对相互影响的多个退化故障,构建多元联合分布函数
Figure FDA0004143949820000033
作为退化寿命模型,其中,
Figure FDA0004143949820000034
Figure FDA0004143949820000035
为部件Cij的退化故障数,σlk为协方差矩阵,衡量多个退化故障的随机依赖性程度。
6. The method according to any one of claims 1-3, wherein, in the component life model building step, a multivariate joint distribution function is constructed for multiple degradation faults that influence each other
Figure FDA0004143949820000033
As a degenerate lifetime model, where,
Figure FDA0004143949820000034
Figure FDA0004143949820000035
is the number of degradation faults of component C ij , and σ lk is the covariance matrix, which measures the degree of random dependence of multiple degradation faults.
7.如权利要求1-3中任一项所述的方法,其特征在于,在所述部件寿命模型构建步骤中,基于功能故障与退化故障之间的随机依赖性,按照功能故障的发生以一定概率、按一定比例减小退化故障的故障分布时间的均值同时增大其方差的方式,修正退化寿命模型
Figure FDA0004143949820000041
7. The method according to any one of claims 1-3, characterized in that, in the component life model construction step, based on the random dependence between functional failures and degradation failures, according to the occurrence of functional failures and With a certain probability and a certain proportion, the mean value of the fault distribution time of the degraded fault is reduced while increasing its variance, and the degraded life model is corrected
Figure FDA0004143949820000041
8.一种智能制造产线的多级维修决策建模装置,所述智能制造产线包括m个设备Ei,i=1,...,m,每个设备Ei具有ni个部件Cij,j=1,...,ni,其特征在于,所述装置包括:8. A multi-level maintenance decision modeling device for an intelligent manufacturing production line, the intelligent manufacturing production line includes m equipment E i , i=1,..., m, and each equipment E i has n i components C ij , j=1,...,n i , characterized in that the device includes: 故障时间分布获得模块:利用部件Cij的历史故障数据,获得部件Cij的功能故障的故障时间分布和退化故障的故障时间分布;The failure time distribution obtaining module: use the historical failure data of the component C ij to obtain the failure time distribution of the functional failure and the failure time distribution of the degradation failure of the component C ij ; 部件寿命模型构建模块,根据部件Cij的所有功能故障的故障时间分布,构建部件Cij的基于多功能故障随机依赖性的功能寿命模型
Figure FDA0004143949820000042
根据部件Cij的相互影响的多个退化故障的故障时间分布,构建部件Cij的基于多退化故障随机依赖性的退化寿命模型
Figure FDA0004143949820000043
The component life model building block, according to the failure time distribution of all functional failures of the component C ij , constructs the functional life model of the component C ij based on the random dependence of the multifunctional failures
Figure FDA0004143949820000042
According to the failure time distribution of multiple degraded faults of components C ij interacting with each other, a degradation life model based on the random dependence of multiple degraded faults of components C ij is constructed
Figure FDA0004143949820000043
设备可用度模型构建模块,根据部件Cij的功能寿命模型
Figure FDA0004143949820000044
构建设备Ei的基于多部件功能结构依赖性的功能可用度模型Ai(t),根据部件Cij的退化寿命模型
Figure FDA0004143949820000045
构建设备Ei的基于多部件性能结构依赖性的性能可用度模型Bi(t)和性能可用度惩罚模型ABi(t),其中,t为时刻;
Equipment Availability Model Building Block, Functional Lifetime Model for Components C ij
Figure FDA0004143949820000044
Construct the functional availability model A i (t) of the equipment E i based on the multi-component functional structure dependence, according to the degradation life model of the component C ij
Figure FDA0004143949820000045
Construct the performance availability model B i (t) and the performance availability penalty model AB i (t) based on multi-component performance structure dependence of the equipment E i , where t is the moment;
产线效益模型构建模块,利用设备Ei的功能可用度模型Ai(t),计算产线由于功能故障导致的损失;利用设备Ei的性能可用度模型Bi(t)和性能可用度惩罚模型ABi(t),计算产线由于退化故障导致的损失,根据产线由于功能故障和退化故障导致的损失,构建基于多设备经济依赖性的产线效益模型;维修决策获得模块,根据产线要求的约束条件,对所述产线效益模型进行优化求解,获得使产线效益最大化的维修决策,Production line benefit model building block, using the functional availability model A i (t) of equipment E i to calculate the loss of the production line due to functional failure; using the performance availability model B i ( t) and performance availability of equipment E i Penalty model AB i (t), calculates the loss of the production line due to degraded faults, and constructs a production line benefit model based on the economic dependence of multiple equipment according to the losses caused by functional faults and degraded faults of the production line; the maintenance decision acquisition module, according to The constraint conditions required by the production line are optimized and solved for the production line benefit model, and the maintenance decision that maximizes the production line benefit is obtained. 所述设备可用度模型构建模块将部件Cij的功能寿命模型
Figure FDA0004143949820000051
融合为设备Ei的功能模型
Figure FDA0004143949820000052
计算设备在时刻t的预期功能故障时长
Figure FDA0004143949820000053
得到设备Ei的功能可用度
Figure FDA0004143949820000054
The equipment availability model building block models the functional lifetime of the component C ij
Figure FDA0004143949820000051
fused as a functional model of device E i
Figure FDA0004143949820000052
Calculate the expected functional failure time of the equipment at time t
Figure FDA0004143949820000053
Get the functional availability of equipment E i
Figure FDA0004143949820000054
9.一种计算机设备,包括存储器和处理器,所述存储器存储有计算机程序,其特征在于,所述处理器执行所述计算机程序时实现权利要求1-7中任一项所述的方法的步骤。9. A computer device comprising a memory and a processor, the memory stores a computer program, wherein the processor implements the method according to any one of claims 1-7 when executing the computer program step. 10.一种计算机可读存储介质,其上存储有计算机程序,其特征在于,所述计算机程序被处理器执行时实现权利要求1-7中任一项所述的方法的步骤。10. A computer-readable storage medium, on which a computer program is stored, wherein, when the computer program is executed by a processor, the steps of the method according to any one of claims 1-7 are implemented.
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