Flexible quantitative evaluation method and equipment for production line
Technical Field
The invention belongs to the technical field of flexible production, and particularly relates to a flexible quantitative evaluation method and equipment for a production line.
Background
With the advent of diversification and individualization of market demands, conventional rigid production modes have failed to meet market-oriented production demands. The flexible production is a novel production mode which mainly depends on manufacturing equipment with high flexibility and mainly based on a computer numerical control machine tool to realize multi-variety and small-batch production and aims at the defect of large-scale production. The flexible production is improved in the aspects of system structure, personnel organization, operation mode, marketing and the like, so that the production system can quickly adapt to market demand changes, and meanwhile, useless redundancy loss is eliminated, so that enterprises are strived for greater benefits. Computer and automation technology are the material technology basis for flexible production. For example, a Flexible manufacturing system (Flexible ManufactureSystem, FMS) is a group of processing equipment connected by a unified information control system and an automatic material storage and transportation system, can process various workpieces without stopping the machine, and has a certain management function.
In the world competing today, flexible manufacturing technology has become an important point of global development. To win customers, occupy the market, and become winners in the market competition, flexible manufacturing enterprises must maximize the utilization of resources to increase production efficiency, and meet customer demand for products at the fastest speed.
In this case, the manufacturing enterprises need to increase the flexibility of the production line by various methods to meet the market or demand. However, how to reasonably and quantitatively evaluate the flexibility of an existing or newly built production line by a manufacturing enterprise lacks related research and scientific and systematic methods, and people often rely on experience to evaluate the flexibility of the production line, so that unified and rapidly applicable quantitative evaluation indexes and methods are difficult to form.
Disclosure of Invention
Aiming at the defects or improvement demands of the prior art, the invention provides a method and equipment for quantitatively evaluating the flexibility of a production line, which aims to comprehensively consider the influence degree of different characteristic relations on the flexibility of the product of the production line, establish flexible evaluation models with different dimensions, and combine the actual production flexibility demands on the basis to perform weighted fusion on the flexible evaluation models with different dimensions to obtain a comprehensive flexibility evaluation model and quantitative index of the production line, thereby realizing the rapid quantitative evaluation of the comprehensive flexibility of the production line, being suitable for the design and the transformation of the production line and solving the technical problems of lacking a unified and rapidly applicable quantitative evaluation index and method in the prior art.
To achieve the above object, according to one aspect of the present invention, there is provided a flexible quantitative evaluation method for a production line, comprising the steps of:
step 1: according to the characteristics of flexible production of the production line to be evaluated, making evaluation indexes of the flexibility of the production line from three dimensions of products, processes and equipment on the production line;
Step 2: the method comprises the steps of obtaining production and layout information of a production line from a design scheme of the production line, wherein the production and layout information comprises producible product types V i, total product types V, processable process types P j, total process types P, processable equipment types M k, total equipment types M, total product families Vty and equipment configuration diagrams;
step 3: inputting the production and layout information of the production line obtained in the step 2 into a characteristic relation network of a product-process-equipment facing the flexibility of the production line, and constructing flexibility evaluation models of the flexibility of different dimensions of the production line; the characteristic relation network comprises a product family relation, a process coincidence relation among products, correlation between the products and the process, process insertability, process sequence variability and correlation between the process and equipment; the flexibility evaluation model comprises a product dimension evaluation model, a process dimension evaluation model and an equipment dimension evaluation model;
Step 4: and (3) taking the production flexibility requirement of the production line to be evaluated as a production line flexibility analysis element, formulating evaluation weights corresponding to the flexibility of different dimensions, and carrying out weighted fusion on the three flexibility evaluation models in the step (3) according to the evaluation weights of the flexibility of different dimensions to obtain a comprehensive flexibility evaluation model and a quantization index of the production line.
Further, in step 1:
The flexibility evaluation index of the product dimension comprises: the product type number and the product similarity are expressed as the total number of the product types which can be produced by the production line, and the product similarity is expressed as the structure and the process similarity among the producible products;
The flexibility evaluation index of the process dimension comprises the following steps: process changeability and process insertability, wherein the process changeability is shown as the process path changeability during production of a production line, and the process insertability is shown as the process insertability between devices;
The flexibility evaluation index of the equipment dimension comprises: the equipment universality is represented by special and universal quantitative characterization of producible equipment of the production line, and the production line universality is represented by the integral universal degree of the production line.
Further, the product family relationship is expressed by constructing a family judgment matrix VV between various types of products according to the obtained product family information of the processable products:
Wherein v i,h is a judgment value of whether the product type v i and the product type v h are in the same family,
Subscripts i, h e [1, n ] are product type numbers, n is the maximum value of the product type numbers, and n=v;
the process coincidence relation among the products is expressed by researching the same process condition among the products according to different processes of different products of a production line, and constructing a process coincidence relation matrix PP among the products:
Wherein pp i,h is the number of the same process types possessed by product v i and product v h, and pp i,h is less than or equal to P;
The correlation between the product and the process is expressed by establishing a correlation matrix VP between the product produced by the production line and the processable process according to the type of the product produced by the production line and the processing process required by the type of the product:
In the method, in the process of the invention, Vp i,j denotes that the product v i is processed by a process type P j in the manufacturing process, j e [1, m ] is a process type number, m is a maximum value of the process type number, and m=p;
the process insertability is expressed by constructing a production line process insertability matrix MM according to a production line processing equipment configuration diagram:
Where mm k,o denotes the insertability of the process between device type m k and device type m o,
When k=o, mm k,o =0,
When k is not equal to o
0 Represents an insertable process, 1 represents an insertable process; o and K e 1, K are device type numbers, K is the maximum value of the device type numbers, and k=m;
The process sequence variability is expressed by constructing a sequence variability matrix PT between every two processes of the production line according to the design structure of the production line and considering the sequence of the processing processes capable of processing by the production line:
Where pt s,j denotes the sequential variability between process type p s and process type p j, the values are as follows:
When s=j, pt s,j =0;
when s is not equal to j, S epsilon [1, m ] is the process type number;
The correlation between the process and the equipment is expressed by establishing a correlation matrix PM between different types of equipment and processable processes on a production line according to the type of the equipment and the processing process of the type of equipment on the production line:
where pm j,k denotes whether the process p j is processed by the apparatus m k,
Further, a pairwise product similarity analysis matrix Si v is constructed according to the peer judgment matrix VV between the products and the process coincidence relation matrix PP between the products:
when i=h is used, I.e., the similarity between the same product types is 1, when i noteq.h,Representing a similarity value between the product v i and the product v h, wherein the larger the similarity value is, the higher the similarity is;
Constructing a product processing path variability quality house model Rv according to a correlation matrix VP of a product and a process sequence variability matrix PT, and acquiring the number of selectable paths of the product v i according to the processing path variability quality house model Rv
Further, the product dimension flexibility evaluation index includes the product type number and the product similarity, and the evaluation model F Pd is expressed as formula (8):
wherein F Pd represents a product dimension flexibility evaluation value, vty represents the number of product families which can be produced by a production line, si represents the total similarity of all types of products produced by the production line, and the total similarity is expressed as formula (9):
In (9) For the similarity value between product v i and product v h,Representing randomly selecting the combination number of the class 2 products from the class V products;
The process dimension flexibility evaluation index includes the variability of the process path and the insertability of the production process, and the evaluation model is expressed as formula (10):
In the formula (10), F Pc is a process dimension flexibility evaluation value, R is process path changeability of a production line, and the number of optional paths of the product v i is obtained by a process path changeability quality house model Rv The obtained is represented by formula (11); plu Process insertability for a production line, which is obtained from a Process insertability matrix MM, denoted as formula (12);
in the formulae (11) to (12) For the number of alternative paths of product V i, V is the total number of product types that can be produced by the production line, mm k,o is the insertability of the process between device M k and device M o, and M is the total number of device types of the production line;
the equipment dimension flexibility evaluation index comprises equipment utilization degree and production line utilization degree, and an evaluation model is expressed as formula (13):
In formula (13), F R is an evaluation value of flexibility in the equipment dimension, MT k is a general purpose degree of equipment m k, expressed as formula (14), and PuT is a general purpose degree value of a production line:
In the formula (14), pm j,k represents that the process P j is finished through the processing of the equipment m k, P is the total number of the processing processes in the production line, and k epsilon [1, K ] represents the equipment type number in the production line.
Further, in the step 4, according to the evaluation weights of the flexibility of different dimensions of the production line, three flexibility evaluation models are subjected to weighted fusion, and a comprehensive flexibility evaluation model type (15) of the production line is constructed:
FL=(WPd,WPc,WPc)×(FPd,FPc,FR)T=W×(FPd,FPc,FR)T (15)
Wherein W Pd,WPc,WPc is the weight of the product dimension, the process dimension and the equipment dimension of the production line on the comprehensive flexibility of the production line, and the comprehensive weight W of the comprehensive flexibility of the production line is used for representing;
The method for acquiring the weight W of the comprehensive flexibility of the production line comprises the following steps:
according to the relative importance among the product dimension flexibility, the process dimension flexibility and the equipment dimension flexibility in the comprehensive flexibility influence factors of the production line, constructing a judgment matrix A:
Wherein a xy represents the importance degree of a factor x compared with a factor y in the comprehensive flexibility influence factor of the production line, the values of a xy are 1/5, 1/3, 1, 3 and 5, and the higher the importance degree of the factor x compared with the factor y is, the larger the numerical value of a xy is; x, y=1, 2, 3 represent product dimension flexibility, process dimension flexibility, equipment dimension flexibility in sequence;
The production flexibility requirement is used as a production line flexibility analysis element, and the degree of the requirement among the product dimension flexibility, the process dimension flexibility and the equipment dimension flexibility is scored according to the production flexibility, so that a scoring matrix b is obtained:
Wherein b xy represents that the demand level of the production flexibility on the factor x is higher than the demand level of the production flexibility on the factor y, b xy has the values of 1/5, 1/3, 1,3 and 5, and the numerical value of b xy is larger when the demand level of the production flexibility on the factor x is higher than the demand level of the production flexibility on the factor y;
Multiplying a xy and B xy in the judgment matrix a to obtain a judgment matrix B:
Normalizing each column vector of B (matrix) to obtain The following are provided:
Wherein,
Wherein,Representation ofNormalized values of the x-th row and y-th column of (a);
For a pair of Summing the elements in the row, and normalizing the summation result to obtain a weight W:
Wherein, Is thatThe sum of the elements of row x;
And W is the comprehensive weight of the influence of three flexibility influencing factors, namely the product dimension flexibility, the process dimension flexibility and the equipment dimension flexibility, on the comprehensive flexibility of the production line.
To achieve the above object, according to another aspect of the present invention, there is provided a computer-readable storage medium having stored thereon a computer program which, when executed by a processor, implements the method according to any of the preceding claims.
In order to achieve the above object, according to another aspect of the present invention, there is provided a flexibility quantitative evaluation apparatus of a production line, including a computer-readable storage medium as described above, and a processor for calling and processing a computer program stored in the computer-readable storage medium.
In general, the above technical solutions conceived by the present invention, compared with the prior art, can achieve the following beneficial effects:
1. The production line flexibility quantitative evaluation method provided by the invention combines the production and layout characteristics of the designed production line, and considers the definition of industry experts on flexibility and the demands of markets and enterprises on flexibility at the same time when carrying out flexibility quantitative evaluation.
3. According to the production line flexibility quantitative evaluation method provided by the invention, the production line is evaluated, the quantitative evaluation value of the interval between [0,1] is obtained, the closer the obtained quantitative evaluation value is to 1, the better the flexibility of the production line is proved, the closer the obtained quantitative evaluation value is to 0, and the worse the flexibility of the production line is proved.
2. The invention quantitatively evaluates the flexibility of the production line, can scientifically and effectively quantitatively evaluate the flexibility of the production line, can help to guide the flexible design of the production line, and can also help markets or demand parties to rapidly and quantitatively evaluate the flexibility of the designed production line.
Drawings
FIG. 1 is a schematic diagram of a method for quantitatively evaluating flexibility of a production line according to the present invention;
FIG. 2 is a schematic diagram of different dimension assessment models constructed based on a feature relationship network provided by the present invention;
FIG. 3 is a device configuration diagram taken in one exemplary case of the present invention;
FIG. 4 is a mass house drawn in one illustrative case of the invention;
Fig. 5 is a schematic diagram of a multi-dimensional evaluation flow according to fig. 2.
Detailed Description
The present invention will be described in further detail with reference to the drawings and examples, in order to make the objects, technical solutions and advantages of the present invention more apparent. It should be understood that the specific embodiments described herein are for purposes of illustration only and are not intended to limit the scope of the invention. In addition, the technical features of the embodiments of the present invention described below may be combined with each other as long as they do not collide with each other.
As shown in fig. 1, the method for quantitatively evaluating flexibility of a production line according to the preferred embodiment of the present invention includes the following steps:
S1, according to the characteristics of flexible production of the production line, providing an evaluation index of the flexibility of the production line. Wherein, the flexibility evaluation index includes: three-dimensional evaluation indexes of products, processes and equipment of a production line are oriented; the flexibility evaluation index of the product dimension comprises: product type number and product similarity; the flexibility evaluation index of the process dimension comprises the following steps: process variability and process insertability; the flexibility evaluation index of the equipment dimension comprises: the utility degree of equipment and the utility degree of production line.
S2, acquiring production and layout information of the production line according to the primary design scheme of the production line. Wherein, the production and layout information of the production line comprises:
1) The producible product type v i(i=1,2,...,n):v1,v2,...vn;
2) Total number of producible product types V: v=n;
3) The production line processable type p j(j=1,2,...,m):p1,p2,...pm;
4) Total number of processable process types P: p=m;
5) The type of equipment m k(k=1,2,...,K):m1,m2,...,mK that can be processed;
6) Total number of device types M: m=k;
7) Product family vty f: according to the model, structure and size of the product, similarity division is carried out on the processed product, and a product family vty f of the processed product is obtained, wherein (f=1, 2., F) is vty 1,vty2,...,vtyF, and F is less than or equal to n;
8) Total product family Vty: vty=f
9) Device configuration diagram:
According to the arrangement relation (series connection or parallel connection) among different types of equipment in the production line, a production line processing equipment configuration diagram (as an illustrative case, refer to fig. 3) is constructed, if the materials need to pass through the former type of equipment to the latter type of equipment in the transmission process, the equipment is in series connection, and if independent transfer trolleys exist, the materials can be respectively transmitted to the various types of equipment, and the equipment is in parallel connection.
S3, inputting the production and layout information of the production line obtained in the S2 into a product-process-equipment characteristic relation network facing the production line flexibility, and constructing flexibility evaluation models of different dimensions of the production line according to the characteristic relation network. The characteristic relation network comprises:
1) Product family relationship-according to the obtained product family information of the processable products, constructing a family judgment matrix VV between the products:
In the method, in the process of the invention, V i,h is a judgment value of whether the product v i and the product v h are in the same family.
2) Process coincidence relation among products-according to different processes of different products of a production line, researching the same process condition among the products, and constructing a process coincidence relation matrix PP among the products:
wherein pp i,h is the number of processes of the product v i and the product v h, pp i,h is less than or equal to P, and P is the total number of the types of the processes which can be processed by the production line, i and h are E [1, n ].
3) Correlation of product and process-based on the type of product that can be produced by the production line and the process required for that type of product, a correlation matrix VP between the product produced by the production line and the processable process is established:
In the method, in the process of the invention, Vp i,j denotes that product v i is processed during the manufacturing process by process p j, i.e. [1, n ], j.e. [1, m ].
4) Process insertability-according to the line tooling equipment configuration diagram, build line process insertability matrix MM:
Where mm k,o denotes the insertability of the process between device m k and device m o, when k=o, mm k,o =0, when k+.o
k∈[1,K],o∈[1,K]。
5) Process sequence variability-according to the design structure of the production line, researching the sequence of the processing process of the production line, and constructing a sequence variability matrix PT between every two processes of the production line:
Where pt s,j denotes the sequence alterability between the process p s and the process p j, when s=j, pt s,j denotes the sequence alterability between two identical processes, and the sequence alterability between two identical processes is meaningless in the actual production process, so taking pt s,j =0,
When s is not equal to js、j∈[1,m]。
6) Correlation of process and equipment-according to the equipment type of the production line and the processes which can be processed by the equipment, a correlation matrix PM between different types of equipment and processable processes on the production line is established:
In the method, in the process of the invention, J e 1, m, k e 1, k, pm j,k denote the completion of process p j through the processing of equipment type m k.
7) Product similarity analysis matrix-a pairwise product similarity analysis matrix Si v is constructed according to the identity judgment matrix VV between products and the process coincidence relation matrix PP between products:
In the middle of When i=hWhen i is not equal to h, Representing the similarity value between product v i and product v h.
8) Product processing path variability quality house-a product processing path variability quality house model Rv is constructed from a correlation matrix VP of products and processes and a process sequence variability matrix PT (as in fig. 4):
Obtaining the number of selectable paths of each product according to the machining path variability quality house model Rv The method comprises the following steps:
,j≠s,j∈[1,m],s∈[1,m]。
as shown in fig. 2 and fig. 5, according to the obtained feature relation network, multi-level fusion is performed to obtain flexible evaluation models with different dimensions, including: a product dimension assessment model, a process dimension assessment model, and an equipment dimension assessment model.
1) Product dimension evaluation model
The product flexibility evaluation index comprises the total number of product types and the similarity of the products. According to the production and layout information of the production line, the total number of types of products which can be produced by the production line is V, and the product family of the products which can be produced by the production line is Vty; according to the product similarity analysis matrix Si v of the production line, the product similarity Si of the production line can be obtained as follows:
The product flexibility evaluation model of the production line can be obtained according to the total number V of the product types and the product similarity Si of the production line and is F Pd:
2) Process dimension evaluation model
The process flexibility evaluation index includes the variability of the process path and the insertability of the production process. According to the machining path variability quality house model Rv, the number of selectable paths of each product can be obtainedThe process path changeability R of the production line is thus obtained as:
According to the line process insertability matrix MM, line process insertability Plu can be obtained:
Based on the variability R of the process path of the production line and the insertability Plu of the production process, a process flexibility evaluation model F Pc of the production line can be obtained:
3) Equipment dimension evaluation model
The equipment flexibility evaluation index comprises equipment utilization degree and production line utilization degree. The commonality MT k (k=1, 2,..k) of each device can be obtained from the process-device correlation matrix PM:
The line commonality PuT can be obtained according to the equipment commonality MT k:
The production line equipment flexibility evaluation model F R can be directly obtained by the production line utility value, namely
S4, according to the evaluation weights of the flexibility of the different dimensions of the production line, the invention combines the analytic hierarchy process to carry out weighted fusion on the flexibility evaluation models of the different dimensions, and the construction of the comprehensive flexibility evaluation model FL of the production line is as follows:
FL=WT×(FPd,FPc,FR)T=(WPd,WPc,WPc)×(FPd,FPc,FR)T (15)
wherein W Pd,WPc,WPc is the weight of the product dimension, the process dimension and the equipment dimension of the production line on the comprehensive flexibility of the production line respectively. The method for acquiring the weight W of the comprehensive flexibility of the production line comprises the following steps:
1) Obtaining an initial judgment matrix A
According to the comparison value between two factors of product dimension flexibility, process dimension flexibility and equipment dimension flexibility in the comprehensive flexibility of the production line, constructing a judgment matrix A (16):
A xy in the formula (16) represents the importance degree of a factor x in the comprehensive flexibility influence factor of the production line compared with a factor y, the value of a xy is 1/5, 1/3, 1,3 and 5, and the higher the importance degree of the factor x compared with the factor y is, the larger the numerical value of a xy is; x, y=1, 2,3 represent product dimension flexibility, process dimension flexibility, equipment dimension flexibility in sequence; for example, a 23 represents the importance of the process to the equipment. The relative importance between the two factors can be determined through actual evaluation according to the actual demands of different enterprises, clients and the like.
As an illustrative example, a xy can be scaled by three levels, 1, 3,5, i.e., factor x is equally important on a1 scale as factor y, factor x is generally important on a 3 scale as compared to factor y, factor x is very important on a 5 scale as compared to factor y, as shown in table 1.
Table 1 different dimensional flexible scale value meaning
| Scale with a scale bar |
1 |
3 |
5 |
| Importance of |
Equally important |
Is of general importance |
Is very important |
For example, the importance of three dimensional flexibility in a production line is: the product dimension flexibility is less than the process dimension flexibility is less than the equipment dimension flexibility, and then the configurable judgment matrix A is:
2) Obtaining scoring matrix b
Taking actual production flexibility requirements as production line flexibility analysis elements, inviting project responsible persons, quality management personnel and production responsible persons of production line requirement enterprises to evaluate the importance of product dimension flexibility, process dimension flexibility and equipment dimension flexibility to the comprehensive flexibility of the production line according to the flexible production requirements of the enterprises to obtain a two-two factor scoring matrix b:
In the formula (17), b xy represents that the demand level of the production flexibility on the factor x is higher than the demand level of the factor y, b xy has the values of 1/5, 1/3, 1,3 and 5, and the higher the demand level of the production flexibility on the factor x is compared with the demand level of the factor y, the larger the numerical value of b xy is. b xy is also scaled by 1,3,5, the scale meaning being as in table 1, b xy=1/byx.
For example, after evaluation, the importance of flexibility in three dimensions in a certain production line is determined as follows: product dimension flexibility > process dimension flexibility = equipment dimension flexibility, then the configurable judgment matrix b is:
3) Acquiring a judgment matrix B
Multiplying each comparison value in the judgment matrix A by a corresponding coefficient in the scoring matrix B to obtain a judgment matrix B:
4) Obtaining flexibility evaluation weight W of each dimension
Normalizing each column vector of B (matrix) to obtainThe following are provided:
Wherein,
Representation ofNormalized values of the x-th row and y-th column of (a);
From the example matrix B, it is possible to:
For a pair of Summing the elements in the row and normalizing the elements to obtain a weight W:
Wherein, Is thatThe sum of the elements of row x;
the obtained W= (W Pd,WPc,WPc)T is the comprehensive weight of the three flexibility influence factors of the product dimension flexibility, the process dimension flexibility and the equipment dimension flexibility on the comprehensive flexibility influence of the production line.
According to an example matrixCalculating the flexible weights of different dimensions of the production line to be:
The production line flexibility quantitative evaluation method provided by the invention combines the production and layout characteristics of the designed production line, and considers the definition of industry experts on flexibility and the demands of markets and enterprises on flexibility at the same time when carrying out flexibility quantitative evaluation. According to the production line flexibility quantitative evaluation method provided by the invention, the production line is evaluated, the quantitative evaluation value of the interval between [0,1] is obtained, the closer the obtained quantitative evaluation value is to 1, the better the flexibility of the production line is proved, the closer the obtained quantitative evaluation value is to 0, and the worse the flexibility of the production line is proved.
The invention quantitatively evaluates the flexibility of the production line, can scientifically and effectively quantitatively evaluate the flexibility of the production line, can help to guide the flexible design of the production line, and can also help markets or demand parties to rapidly and quantitatively evaluate the flexibility of the designed production line.
It will be readily appreciated by those skilled in the art that the foregoing description is merely a preferred embodiment of the invention and is not intended to limit the invention, but any modifications, equivalents, improvements or alternatives falling within the spirit and principles of the invention are intended to be included within the scope of the invention.