CN112936400A - Optimization method and auxiliary device for paperboard production schedule - Google Patents

Optimization method and auxiliary device for paperboard production schedule Download PDF

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CN112936400A
CN112936400A CN202110103162.8A CN202110103162A CN112936400A CN 112936400 A CN112936400 A CN 112936400A CN 202110103162 A CN202110103162 A CN 202110103162A CN 112936400 A CN112936400 A CN 112936400A
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茅灵杰
陆峰
解彬
谢久成
龚卫丰
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Shanghai Jinshan Paper Industry Co ltd
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Abstract

The invention belongs to the field of intelligent production, and discloses a paperboard production scheduling optimization method. The invention also discloses an auxiliary device for the optimization method of the paperboard production schedule, the optimization method of the paperboard production schedule is implemented by the auxiliary device for the optimization of the paperboard production schedule, and the characteristics of different production modes of the paperboard production line can be effectively utilized to optimize the paperboard production schedule, so that the cutting efficiency of the paperboard production line is greatly improved.

Description

Optimization method and auxiliary device for paperboard production schedule
Technical Field
The invention belongs to the field of intelligent production, and particularly relates to a paperboard production schedule optimization method and an auxiliary device.
Background
The cardboard is produced through cutting by the body paper of lapping through the cardboard production line, and the cardboard production line has the conveyer belt that is used for bearing the body paper and carries out a plurality of paper cutters that cut to the body paper, and its cutting process is the width direction of body paper and the direction of transfer of conveyer belt perpendicular setting, and a plurality of paper cutters cut the body paper in the conveying a plurality of cardboards of predetermined width and length size, and a plurality of cardboards become matrix arrangement.
At present, a high-grade paperboard production line can simultaneously cut paperboard of the same specification or paperboards of a plurality of different specifications, and accordingly, the paperboard production line has a plurality of production modes, and the corresponding relation between the loss amount of generated base paper and the corresponding paperboard production amount is different for each production mode.
However, in actual production, how to effectively utilize the characteristics of various different production modes of the paperboard production line to optimize the paperboard production schedule so as to greatly improve the cutting efficiency of the paperboard production line is an urgent problem to be solved.
Disclosure of Invention
Aiming at the deficiency of the prior art, the production mode characteristics of the paperboard production line with two production modes are further researched, the two production modes respectively correspond to the production of the paperboard with one specification and the production of the paperboards with two different specifications, the production auxiliary cost is comprehensively considered, and the following conclusion is obtained through research: 1. when the lengths of the produced paperboards are within the preset range, the cutting efficiency is improved by adopting the corresponding production mode of simultaneously cutting a plurality of paperboards with different specifications, and 2, after the corresponding production mode of simultaneously cutting two paperboards with different specifications is used for cutting the paperboards with one specification with less required quantity, the production mode is changed into the corresponding production mode of cutting the paperboards with the same specification, so that the cost is optimal.
The invention provides a paperboard production schedule optimization method and an auxiliary device, which are implemented by the paperboard production schedule optimization auxiliary device and can effectively optimize paperboard production schedules by utilizing the characteristics of different production modes of a paperboard production line, thereby greatly improving the cutting efficiency of the paperboard production line.
In order to achieve the purpose, the invention provides the following technical scheme:
a method for optimizing a production schedule of a paperboard production line, the production mode of the paperboard production line including a first production mode and a second production mode, the paperboard production line being used for cutting predetermined base paper into predetermined paperboards according to a plurality of predetermined orders, the predetermined orders including a predetermined number of the predetermined paperboards and a predetermined size of the predetermined paperboards, the method comprising the steps of:
step S1: establishing a first loss model based on the first production mode, the size of the preset base paper, the preset quantity and the preset size;
step S2: establishing a second loss model based on the second production mode, the size of the preset base paper, the preset quantity and the preset size;
step S3: establishing a total loss model based on the first loss model and the second loss model;
step S4: establishing a plurality of corresponding paperboard arrays based on a plurality of predetermined orders;
step S5: traversing all the paperboard arrays respectively based on the first consumption model and the total consumption model to obtain a plurality of base paper consumption;
step S6: and optimizing the production schedule of the predetermined paperboards of the predetermined orders on the paperboard production line based on the consumption of the base paper.
Preferably, the first production mode is that the predetermined base paper is cut by a paperboard production line to form the same predetermined paperboard,
the second production mode is that the preset base paper is cut by a paperboard production line to form two preset paperboards.
Further, the predetermined order also includes a unique order number,
the cutting line number get _ rows (x) corresponding to the preset paperboard is as follows:
Figure BDA0002916763820000021
x is the order number, x.N is the predetermined number corresponding to the order number, x.C is the number of cutting columns of the predetermined sheet in the first production mode, INT () is a rounding down function,
x.C=INT((S-k)/x.W);
k is the raw paper edge trimming allowance, preferably k is 250,
the first Loss model Loss1(x) is:
Loss1(x)=(S-x.W*x.C)*x.L*get_rows(x);
s is the width of the preset base paper, x.W is the width of the preset paper board corresponding to the order number, and x.L is the length of the preset paper board corresponding to the order number.
Further, the length get _ length (x) of each column corresponding to the predetermined cardboard is:
get_length(x)=get_rows(x)*x.L。
further, when the paperboard production line is in the second mode of production,
the cutting line number get _ rows (x _ max) corresponding to the preset paper board with longer cutting line length is as follows:
Figure BDA0002916763820000031
x _ max is a predetermined cardboard corresponding order number having a long column length of the cut obtained based on get _ length (x) in the second production mode, x _ max.L is a predetermined cardboard length corresponding to x _ max, l _ min is a cut column length having a short column length of the cut obtained based on get _ length (x),
the second Loss model Loss2(x1, x2) is:
Loss2(x1,x2)=(S-x1.W*x1.C-x2.W*x2.C)*(x_max.L*get_rows(x_max)*x_max.L);
x1 and x2 are two order numbers corresponding to two different preset paper boards, x1.W and x2.W are the widths of the preset paper boards corresponding to the two order numbers respectively, and x1.C and x2.C are the cutting columns of the preset paper boards corresponding to the two order numbers respectively in the second production mode.
Further, the total Loss model Loss3(x1, x2) is:
Loss3(x1,x2)=Loss2(x1,x2)+(S-x_max.W*XRC)*x_max.L*N_INT(XRN);
x _ max.w is the width of the predetermined sheet corresponding to x _ max,
XRC=INT((S-k)/x_max.W);
Figure BDA0002916763820000032
and x _ max.N is the preset number of the preset paper boards corresponding to x _ max, and x _ max.C is the number of columns formed by cutting the preset paper boards corresponding to x _ max.
Further, the cardboard array comprises the length, the width and the number of the preset cardboard corresponding to the preset order, a plurality of base paper consumption amounts are obtained by traversing all the cardboard arrays, the preset orders corresponding to the base paper consumption amounts are subjected to ascending sorting to obtain an optimized scheduling sequence, and the plurality of preset orders are sequentially arranged for production according to the sequence of the optimized scheduling sequence, namely, production scheduling optimization is carried out.
Further, the paperboard production line has a bearing capacity, the bearing capacity changes along with production time, and when the bearing capacity is smaller than the predetermined order corresponding to the optimized rank sequence, the sequence position of the predetermined order in the optimized rank sequence is delayed by one bit.
The invention also provides a paperboard production schedule optimization auxiliary device for implementing the paperboard production schedule optimization method, which is characterized by comprising the following steps: the processor comprises a first consumption model building program, a second consumption model building program, a total consumption model and a schedule optimization program, wherein the first consumption model building program is used for building a first consumption model, the second consumption model building program is used for building a second consumption model, the total consumption model building program is used for building the total consumption model, the schedule optimization program is used for determining an optimization schedule sequence and a corresponding production mode, and the controller controls the driver to drive the paperboard production line to cut the preset base paper in the first production mode or the second production mode according to the preset order according to the processing result of the schedule optimization program.
Preferably, the auxiliary device for optimizing the production schedule of the paperboard further comprises a communication module, and the memory is in communication connection with an external monitoring system through the communication module, so that the bearing capacity on the paperboard production line is obtained in real time.
Compared with the prior art, the invention has the beneficial effects that:
1. because the paperboard production schedule optimization method firstly establishes the first loss model, the second loss model and the total loss model respectively based on the first production mode, the second production mode, the size of the preset base paper, the preset quantity and the preset size, then traverses all the paperboard arrays corresponding to all the preset orders respectively based on the first loss model and the total loss model to obtain a plurality of base paper loss quantities, and finally optimizes the production schedule of the preset paperboards of the preset orders on the paperboard production line based on the plurality of base paper loss quantities, the invention can optimize the production schedule of the preset paperboards by simultaneously considering the improvement of cutting efficiency and cost optimization.
2. Because the paperboard production line has the bearing capacity, the bearing capacity is changed along with the production time, and when the bearing capacity is smaller than the preset order corresponding to the optimized ranking, the sequence position of the preset order in the optimized ranking is delayed by one bit, therefore, the bearing capacity of the paperboard production line is also used as one of the consideration factors for optimizing the paperboard production schedule, and the cutting efficiency of the paperboard production line is further improved.
3. Because the processing program of the paperboard production schedule optimization auxiliary device comprises the first consumption model building program, the second consumption model building program, the total consumption model and the schedule optimization program, the production mode conversion program is used for determining the production mode corresponding to the production schedule, and the controller controls the driver to drive the paperboard production line to cut the preset base paper in the first production mode or the second production mode according to the preset order according to the processing result of the schedule optimization program, the paperboard production schedule optimization method implemented by the paperboard production schedule optimization auxiliary device can effectively optimize the paperboard production schedule by utilizing the characteristics of different production modes of the paperboard production line, thereby greatly improving the cutting efficiency of the paperboard production line.
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Fig. 1 is a schematic step diagram of a method for optimizing a production schedule of a paperboard according to an embodiment of the present invention.
Detailed Description
In order to make the technical means, the creation features, the achievement objects and the effects of the present invention easy to understand, the following embodiments are specifically described with reference to the accompanying drawings, and it is to be noted that the description of the embodiments is for assisting understanding of the present invention, but the present invention is not limited thereto.
The paperboard production line in the embodiment is used for cutting predetermined base paper according to a plurality of predetermined orders to form predetermined paperboards.
The predetermined order includes a unique order number, a predetermined number of predetermined sheets, and predetermined dimensions of the predetermined sheets, including a width and a length of the predetermined sheets.
The cardboard production line has a bearing capacity which varies with the production time, in particular the size of the area in which the cardboard production line cuts the base paper, and the cardboard formed by cutting is continuously transported away from the cardboard production line as time passes, so that the bearing capacity varies with the production time.
Production mode the production modes of the cardboard production line comprise a first production mode and a second production mode.
The first production mode is that the preset base paper is cut through a paper board production line to form the same preset paper board, the second production mode is that the preset base paper is cut through the paper board production line to form two preset paper boards, the width of the preset paper board is perpendicular to the conveying direction of the paper board production line, the length of the preset paper board is in the same direction as the conveying direction of the paper board production line, the preset paper boards are cut into multiple lines along the conveying direction of the paper board production line, and the preset paper boards are cut into multiple lines along the direction perpendicular to the conveying direction of the paper board production line.
As shown in fig. 1, the method S100 for optimizing the production schedule of paperboard in the present embodiment is used in a paperboard production line, and includes the following steps:
step S1: a first Loss amount model Loss1(x) is established based on the first production mode, the size of the predetermined base paper, the predetermined quantity and the predetermined size,
the cutting line number get _ rows (x) corresponding to the preset paperboard is as follows:
Figure BDA0002916763820000061
x is the order number, x.N is the predetermined number corresponding to the order number, x.C is the number of cutting columns of the predetermined sheet in the first production mode, INT () is a rounding down function,
x.C=INT((S-k)/x.W);
k is the raw paper edge trimming allowance, preferably k is 250,
the first Loss model Loss1(x) is:
Loss1(x)=(S-x.W*x.C)*x.L*get_rows(x);
s is the width of the preset base paper, x.W is the width of the preset paper board corresponding to the order number, and x.L is the length of the preset paper board corresponding to the order number.
In this embodiment, the first consumption model Loss1(x) is returned to the board production line to determine the consumption of the base paper when the board production line operates in the first production mode.
Step S2: a second Loss amount model Loss2(x1, x2) is established based on the second production mode, the size of the predetermined base paper, the predetermined quantity, and the predetermined size.
When the paperboard production line works in the first production mode or the second production mode, the length get _ length (x) of each row corresponding to the preset paperboard is as follows:
get_length(x)=get_rows(x)*x.L;
when the paperboard production line is in the second mode of production,
the cutting line number get _ rows (x _ max) corresponding to the preset paper board with longer cutting line length is as follows:
Figure BDA0002916763820000062
x _ max is a predetermined cardboard corresponding order number having a long column length of the cut obtained based on get _ length (x) in the second production mode, x _ max.L is a predetermined cardboard length corresponding to x _ max, l _ min is a cut column length having a short column length of the cut obtained based on get _ length (x),
the second Loss model Loss2(x1, x2) is:
Loss2(x1,x2)=(S-x1.W*x1.C-x2.W*x2.C)*(x_max.L*get_rows(x_max)*x_max.L);
x1 and x2 are two order numbers corresponding to two different preset paper boards, x1.W and x2.W are the widths of the preset paper boards corresponding to the two order numbers respectively, and x1.C and x2.C are the cutting columns of the preset paper boards corresponding to the two order numbers respectively in the second production mode.
In the present embodiment, the second consumption model Loss2(x1, x2) returns to the paperboard production line to operate in the second production mode and the consumption of the predetermined base paper is predetermined for two different predetermined paperboards on the paperboard production line at the same time, and after the cutting of one predetermined paperboard is completed, the production mode is automatically changed from the second production mode to the first production mode until the cutting of the other predetermined paperboard is completed.
Step S3: establishing a total Loss model Loss3(x1, x2) based on the first Loss model and the second Loss model, wherein the total Loss model Loss3(x1, x2) is as follows:
Loss3(x1,x2)=Loss2(x1,x2)+(S-x_max.W*XRC)*x_max.L*N_INT(XRN);
x _ max.w is the width of the predetermined sheet corresponding to x _ max,
XRC=INT((S-k)/x_max.W);
Figure BDA0002916763820000071
and x _ max.N is the preset number of the preset paper boards corresponding to x _ max, and x _ max.C is the number of columns formed by cutting the preset paper boards corresponding to x _ max.
In this embodiment, the second consumption model Loss3(x1, x2) returns to the predetermined consumption of the base paper when the paperboard production line operates in the second production mode, i.e. the total consumption of the predetermined base paper required for cutting two predetermined kinds of paperboard is completed at the same time.
Step S4: establishing a plurality of corresponding paperboard arrays based on a plurality of predetermined orders;
the cardboard array comprises the length, width and number of the predetermined cardboard corresponding to the predetermined order,
step S5: and traversing all the paperboard arrays to obtain a plurality of base paper consumptions respectively based on a first consumption model Loss1(x) and a total consumption model Loss3(x1, x 2).
Step S6: and optimizing the production schedule of the predetermined paperboards of the predetermined orders on the paperboard production line based on the consumption of the base paper.
Traversing all the paperboard arrays to obtain a plurality of base paper consumption quantities, performing ascending sorting on the preset orders corresponding to the base paper consumption quantities to obtain an optimized scheduling sequence, and sequentially scheduling the preset orders for production according to the sequence of the optimized scheduling sequence, namely performing production scheduling optimization.
In this embodiment, the specific operation is that first, all the cardboard arrays are traversed in the first Loss model Loss1(x) to obtain the corresponding base paper Loss, then, all the cardboard arrays are traversed again in the total Loss model Loss3(x1, x2) to obtain the corresponding base paper Loss, and all the base paper losses are sorted from small to large to form an optimized schedule sequence, and the smaller base paper Loss obtains the higher production priority in the production schedule.
When the bearing capacity of the paperboard production line is smaller than the bearing capacity required by the preset order corresponding to the optimized rank sequence, the sequence position of the preset order in the optimized rank sequence is delayed by one bit, so that when the bearing capacity is changed along with time to adapt to the requirement of the preset order, the preset base paper can be cut immediately according to the preset order, and the cutting efficiency of the paperboard production line is further improved.
The present invention also provides a method for optimizing a production schedule of a paperboard, which is used to implement the method S100 for optimizing a production schedule of a paperboard of this embodiment (not shown in the drawings), and the method includes: the device comprises a processor, a communication module, a driver and a memory, wherein a processing program which can run on the processor is stored in the memory.
The storage is in communication connection with an external monitoring system through the communication module, so that the bearing capacity on the paperboard production line is obtained in real time.
The processing procedure includes a first loss model building procedure, a second loss model building procedure, a total loss model and a scheduling optimization procedure.
The first wearability model building program is used for building a first wearability model Loss1(x), the second wearability model building program is used for building a second wearability model Loss2(x1, x2), the total wearability model building program is used for building a total wearability model Loss3(x1, x2), and the schedule optimizing program is used for determining an optimized schedule sequence and a corresponding production mode.
In this embodiment, the order deduplication process is used to delete the associated corresponding order from the order list when the paperboard production line begins cutting one or both of the orders.
The controller controls the driver to drive the paperboard production line to cut the preset base paper according to the preset order in the first production mode or the second production mode according to the processing result of the scheduling optimization program.
The above-described embodiments are preferred embodiments of the present invention, and are not intended to limit the scope of the present invention, and various modifications and changes can be made by those skilled in the art without inventive work within the scope of the appended claims.

Claims (10)

1. A method for optimizing a production schedule of a paperboard production line, the production modes of the paperboard production line including a first production mode and a second production mode, the paperboard production line being configured to cut a predetermined base paper into predetermined paperboards according to a plurality of predetermined orders, the predetermined orders including a predetermined number of the predetermined paperboards and a predetermined size of the predetermined paperboards, the method comprising the steps of:
step S1: establishing a first loss amount model based on the first production mode, the size of the predetermined base paper, the predetermined quantity and the predetermined size;
step S2: establishing a second loss model based on the second production mode, the size of the predetermined base paper, the predetermined quantity and the predetermined size;
step S3: establishing a total loss model based on the first loss model and the second loss model;
step S4: establishing a plurality of corresponding paperboard arrays based on a plurality of the preset orders;
step S5: traversing all the paperboard arrays based on the first consumption model and the total consumption model respectively to obtain a plurality of base paper consumption quantities;
step S6: and optimizing the production schedule of the predetermined paperboards of the predetermined orders on the paperboard production line based on the base paper consumption of the plurality of base paper consumption.
2. The method of optimizing paperboard production schedule of claim 1, characterized by:
wherein the first production mode is that the preset base paper is cut by the paperboard production line to form the same preset paperboard,
the second production mode is that the preset base paper is cut by the paperboard production line to form two preset paperboards.
3. The method of optimizing paperboard production schedule of claim 2, characterized by:
wherein the predetermined order further comprises the order number that is unique,
the cutting line number get _ rows (x) corresponding to the preset paperboard is as follows:
Figure FDA0002916763810000011
x is the order number, x.N is the predetermined number corresponding to the order number, x.C is the number of cutting columns of the predetermined sheet in the first production mode, INT () is a rounding down function,
x.C=INT((S-k)/x.W);
k is the raw paper edge trimming allowance, preferably k is 250,
the first Loss model Loss1(x) is:
Loss1(x)=(S-x.W*x.C)*x.L*get_rows(x);
s is the width of the preset base paper, x.W is the width of the preset paperboard corresponding to the order number, and x.L is the length of the preset paperboard corresponding to the order number.
4. The method of optimizing paperboard production schedule of claim 3, characterized by:
wherein the length get _ length (x) of each column corresponding to the predetermined paperboard is:
get_length(x)=get_rows(x)*x.L。
5. the method of optimizing paperboard production schedule of claim 4, characterized by:
wherein, when the paperboard production line is in the second production mode,
the cutting line number get _ rows (x _ max) corresponding to the preset paper board with longer cutting line length is as follows:
Figure FDA0002916763810000021
x _ max is the predetermined cardboard having the longer column length obtained based on get _ length (x) in the second production mode corresponding to the order number, x _ max.l is the length of the predetermined cardboard corresponding to x _ max, l _ min is the cut column length having the shorter column length obtained based on get _ length (x),
the second Loss model Loss2(x1, x2) is:
Loss2(x1,x2)=(S-x1.W*x1.C-x2.W*x2.C)*(x_max.L*get_rows(x_max)*x_max.L);
x1 and x2 are two order numbers corresponding to two different preset paper boards, x1.W and x2.W are the widths of the preset paper boards corresponding to the two order numbers respectively, and x1.C and x2.C are the cutting columns of the preset paper boards corresponding to the two order numbers respectively in the second production mode.
6. The method of optimizing paperboard production schedule of claim 5, characterized by:
wherein the Loss total model Loss3(x1, x2) is:
Loss3(x1,x2)=Loss2(x1,x2)+(S-x_max.W*XRC)*x_max.L*N_INT(XRN);
x _ max.W is the width of the predetermined cardboard sheet corresponding to x _ max,
XRC=INT((S-k)/x_max.W);
Figure FDA0002916763810000031
and x _ max.N is the preset number of the preset paper boards corresponding to x _ max, and x _ max.C is the number of columns formed by cutting the preset paper boards corresponding to x _ max.
7. The method of optimizing paperboard production schedule of claim 6, characterized by:
wherein the cardboard array comprises the length, the width and the number of the predetermined cardboard corresponding to the predetermined order,
traversing all the paperboard arrays to obtain a plurality of base paper consumption amounts, performing ascending sorting on the preset orders corresponding to the base paper consumption amounts to obtain an optimized scheduling sequence, and sequentially scheduling the preset orders for production according to the sequence of the optimized scheduling sequence, namely performing production scheduling optimization.
8. The method of optimizing paperboard production schedule of claim 7, characterized by:
wherein the paperboard production line has a load bearing capacity that varies with production time,
and when the bearing capacity is smaller than the predetermined order corresponding to the optimized rank sequence, delaying the sequence position of the predetermined order in the optimized rank sequence by one bit.
9. A paperboard production schedule optimization assistance apparatus for implementing the method of any one of claims 1 to 8, comprising:
a processor, a driver, and a memory, the memory having stored therein a processing program executable on the processor,
the processing procedures include a first consumption model constructing procedure, a second consumption model constructing procedure, a total consumption model and a scheduling optimizing procedure,
the first wear loss model builder is configured to build the first wear loss model,
the second wear loss model building program is used for building the second wear loss model,
the total loss model building program is used for building the total loss model,
the schedule optimization program is used for determining an optimized schedule sequence and a corresponding production mode,
and the controller controls the driver to drive the paperboard production line to cut the preset base paper according to the preset order in the first production mode or the second production mode according to the processing result of the scheduling optimization program.
10. The paperboard production schedule optimization aid of claim 9, further comprising:
a communication module for communicating with the communication module,
the memory is in communication connection with an external monitoring system through the communication module, so that the bearing capacity on the paperboard production line is obtained in real time.
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CN116562514A (en) * 2023-07-12 2023-08-08 苏州简诺科技有限公司 Method and system for immediately analyzing production conditions of enterprises based on neural network
CN116629520A (en) * 2023-04-27 2023-08-22 苏州大学 Integrated control method for corrugated board double-cutter processing line

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Denomination of invention: An Optimization Method and Auxiliary Device for Paperboard Production Scheduling

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