CN109118002B - A kind of board-like product cutting stock and branch mailbox divide frame integrated optimization method - Google Patents
A kind of board-like product cutting stock and branch mailbox divide frame integrated optimization method Download PDFInfo
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- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
- G06Q10/00—Administration; Management
- G06Q10/04—Forecasting or optimisation specially adapted for administrative or management purposes, e.g. linear programming or "cutting stock problem"
- G06Q10/043—Optimisation of two dimensional placement, e.g. cutting of clothes or wood
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- G—PHYSICS
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- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
- G06Q10/00—Administration; Management
- G06Q10/04—Forecasting or optimisation specially adapted for administrative or management purposes, e.g. linear programming or "cutting stock problem"
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
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Abstract
The invention discloses a kind of board-like product cutting stocks and branch mailbox to divide frame integrated optimization method, the following steps are included: A: being grouped to sub- material, stock layout column scheme is generated according to sub- face product, when the column scheme scale of generation is greater than sub- material scale, change strategy using group, column scheme is reduced into two dimension layout scheme；Otherwise, a group change strategy is directlyed adopt, monolithic former material Cropping and blank layout is carried out；B: it is divided and ruled solution to the two dimension layout scheme of step A using integrated Cplex engine, obtains multiple near-optimization layout projects；C: the layout project for meeting and falling frame constraint is found；When closest excellent layout project is unsatisfactory for falling frame constraint, return step A splits sub- material again, increases sub- material number of packet, generates new stock layout column scheme；D: it carries out branch mailbox and divides frame.This integrated optimization method not only increases the utilization rate of former material, while the production line automation for improving enterprise is horizontal, accelerates the throughput rate of product, improves the operational efficiency of production line.
Description
Technical field
The present invention relates to plate cutting technical fields more particularly to a kind of board-like product cutting stock and branch mailbox to divide frame integrated
Optimization method.
Background technique
Cutting stock problem is present in the every field of manufacturing, such as glass production processing, the board-like production of plate fitment
Product.Traditional cutting stock problems only consider single blanking process optimization, pursue the high usage of raw material, and it is excellent to ignore blanking
Change the influence to following process process, therefore single cutting stock optimization finds out the solution come, and is locally optimal solution.Study blanking
While problem, combined optimization problem need to be formed with other optimization process joint studyes.
Cutting stock and branch mailbox for board-like product divide frame, the method that the use of blanking enterprise is handled respectively, without inciting somebody to action
Two problem joints consider together, are still independent processing.Frame process is fallen for sub- material, blanking enterprise is still using artificial dry
Pre- method is completed to divide frame to sub- material branch mailbox using manually-operated means, complete process be one by rule of thumb or at random
Divide frame process.Meanwhile because blanking process does not consider that a point frame, subsequent sub- material fall frame and do not plan, the shelf artificially used
Shipped quantity is uncontrollable, and sub- material falls frame process and confusion easily occurs, and loads mistake.
Summary of the invention
It is an object of the invention to propose that a kind of board-like product cutting stock and branch mailbox divide frame integrated optimization method, can improve
The operational efficiency of production line.
To achieve this purpose, the present invention adopts the following technical scheme:
A kind of board-like product cutting stock and branch mailbox divide frame integrated optimization method, comprising the following steps:
A: being grouped sub- material, generates stock layout column scheme according to sub- face product, when the column scheme scale of generation is greater than son
When material scale, changes strategy using group, column scheme is reduced into two dimension layout scheme；Otherwise, a group change strategy is directlyed adopt, is carried out single
Block former material Cropping and blank layout；
B: it is divided and ruled solution to the two dimension layout scheme of step A using integrated Cplex engine, obtains multiple near-optimization stock layouts
Scheme；
C: carrying out multiway tree depth greed first search, loads the suitable of shelf according to the near-optimization layout project of step B
Angle value is answered, the optimal layout project of pairing approximation does optimal sequencing, and setting search mechanisms find the layout project for meeting and falling frame constraint；When
When closest excellent layout project is unsatisfactory for falling frame constraint, return step A splits sub- material again, increases sub- material number of packet, generates
New stock layout column scheme；
D: carrying out branch mailbox and divide frame, and the sub- material allocation flow card in the stock layout column scheme of frame constraint is fallen to satisfaction, and determination falls frame
Scheme.
Further, in step, the step of being grouped to sub- material, generating stock layout column scheme according to sub- face product is such as
Under:
A1: pre-processing sub- material, when group material specification quantity > 10, is grouped blanking to sub- material；
A2: using Dimension-reduced Strategy, only consider the area of sub- material, raw by two dimension layout problem reduction at one-dimensional Cutting Stock Problem
At all stock layout column schemes: according to sub- material size, sequentially generating blanking weight, the blanking weight > of the sub- material of large area is small
The blanking weight of the sub- material of area, with greedy algorithm, with a height of condition of monolithic former material utilization rate, preferentially selection blanking is weighed every time
It is worth biggish sub- material arrangement, when the biggish sub- material of blanking weight is not arranged, the lesser sub- material of blanking weight is just selected to carry out
Arrangement, and so on generate all stock layout column schemes.
Further, during stock layout column schemes generation, the sub- material specification number of monolithic former material typesetting is set as 3, monolithic is former
For the sub- material specification number of material typesetting no more than setting value, which is sub- material specification fitness value.
Further, in step, when the column scheme scale of generation is greater than sub- material scale, change strategy using group, will arrange
Scheme is reduced into two dimension layout scheme, and steps are as follows:
A3: it is tactful using groupization, to the reduction stock layout of monolithic former material, according in stock layout column scheme former material and sub- material, in advance
It first carries out group change to sub- material to handle, the Group, all Group of formation of sub- material group chemical conversion two kinds of different directions of length and width
It is added in groupList set；
A4: being placed into former material according to sub- material specification fitness value optimum selecting Group, is formed using horizontal or vertical cutting
0 piece, 1 piece or 2 pieces former material continues secondary former material to place Group, if secondary former material stock layout fails, returns to upper one layer, selects another
A Group reapposes cutting；
A5: according to this backtracking of step A4, recursive heuristic strategies, stock layout column scheme is reduced into two dimension layout side
Case.
Further, single when being placed into former material according to sub- material specification fitness value optimum selecting Group in step A4
The utilization rate of block former material is greater than setting utilization value, setting utilization value Ω=0.75 of monolithic former material.
Further, in step C: being serialized, calculated to all layout projects that step B is obtained based on Greedy idea
The shelf quantity that single layout project needs designs the fitness value fitness based on layout project addition shelf and preferentially sorts
Heuristic rule, the fitness size according to layout project are ranked up；
Fitness=AcBx*2+NtBx-NwBx, wherein AcBx indicates to load the shelf number completed, and NtBx indicates next
Scheme identical cage subnumber, NwBx indicate that next scheme increases shelf number newly.
Further, in step C: multiway tree search is carried out, to enumerating for the layout project after sequence, using scheme of nodes
Recommendation mechanisms, the layout project that preferential selection is entirely capable of completing to load shelf start, then cannot according to completeness search one by one
The layout project for completing shelf is loaded, multiway tree is formed and is cut off on multiway tree when layout project is unsatisfactory for falling frame constraint condition
The layout project of the node；
After layout project has done optimal sequencing, if search plan, which is not satisfied, falls frame constraint condition, return step A,
Again sub- material is split, sub- material number of packet is increased, generates new stock layout column scheme.
Further, in step D:
Using the method for overall situation traversal, all layout projects are traversed, the sub- material information in each piece of former material are recorded, by institute
There is sub- material information to be stored in sub- material SampleMap set, the sub- material of specification of the same race is divided into a traveler；
For distributing the layout project of traveler, all it is added in allShelfList set, it is right
Traveler in allShelfList post-processes, and generates the quantity of current process clamp material, frame number is numbered and fallen to traveler；
When falling frame as unit of traveler, a shelf can load one or more process clamp materials, and a process
Card can only be stored on a shelf, and traveler is cached on shelf according to the heuristic rule of setting；
It is preferential to remove the whole here shelfs of sub- material on traveler during removing shelf from working region,
If sub- material is not here on all travelers, selection removes the sub- a fairly large number of shelf of material.
Further, it when dividing traveler to sub- material, is required to traverse subsequent layout project, looks for whether that there are phases
The sub- material of same specification defines cutindex indexing parameter to the traveler, and track record occurs identical in subsequent layout project
The location information of the sub- material of specification；
When group material specification quantity is greater than maximum blanking rack subnumber, i.e., traveler quantity is greater than shelf quantity, needs pair
Sub- material in SampleMap marks off extra sub- material to come, while removing the stream in SampleMap as unit of traveler
The sub- material of journey card；
The removal that traveler is carried out using the heuristic strategies first removed, is in real time ranked up all travelers, process
Card sequentially forms loading queue, ordering strategy are as follows: all here discharges up front and in traveler of traveler neutron material
Sub- material is a fairly large number of to be emitted on front.
Further, when falling frame, traveler is cached on shelf according to the heuristic rule of setting, heuristic rule:
(1) traveler preferentially loads empty shelf；
(2) if not being free shelf, multiple travelers can be loaded by judging whether there is shelf；
(3) it is not satisfied more than, removes a shelf, be moved into an empty shelf again, place traveler.
The invention has the benefit that
The present invention has developed the cutting stock for being directed to board-like product and branch mailbox divides the integrated optimization method of frame, while will cut
It cuts blanking process and branch mailbox divides frame process integration to consider together, according to the related constraint for falling frame, generate the blanking side of high usage
Case, and the cutting sequence of former material can be generated simultaneously and sub- material falls frame scheme.This integrated optimization method not only increases original
The utilization rate of material has been completed at the same time from Cropping and blank layout to handling certainly for frame is divided, has been not necessarily to human intervention, improves the production line of enterprise
Automatization level accelerates the throughput rate of product, improves the operational efficiency of production line.
Detailed description of the invention
Fig. 1 is that the cutting stock of the board-like product of the present invention divides the frame that falls of frame integrated optimization method one embodiment to show with branch mailbox
It is intended to；
Fig. 2 is the architecture diagram that the cutting stock of the board-like product of the present invention divides the integrated optimization method of frame with branch mailbox；
Fig. 3 is the cutting stock of the board-like product of the present invention and the part that branch mailbox divides the branch mailbox of the integrated optimization method of frame to divide frame
Flow chart；
Fig. 4 is that the branch mailbox of flow chart shown in map interlinking 3 divides the partial process view of frame.
Specific embodiment
With reference to the accompanying drawing and specific embodiment further illustrates technical solution of the present invention.
As shown in Figs 1-4, if the former material of the sub- material of existing n kind specification and m kind specification, sub- material is according to regular array to former material
Upper formation blanking scheme k, former material are cut according to the arrangement of sub- material, the sub- material after cutting, and classification is loaded on shelf, are passed through
The circulation of shelf is transported to next process equipment and is processed.Such as in the process of manufacture of plate, the loading of sub- material is to flow
Cheng Kawei unit, former material cutting will form multiple travelers, i.e. the sub- material that a traveler includes a kind of specification, a seed material can
To be divided into one or more travelers.One shelf can load one or more travelers, due to enterprise place and carrying
The limitation of cost loads the quantity G of shelf by stringent control, only finishes when the sub- material for being loaded into the shelf is all cut
And load completion, shelf can just be removed, connect and, reload an empty shelf to store another seed material.Blanking scheme must
The quantity limitation that chest or shelf must strictly be met requires.Meanwhile sub- material total weight is no more than the load-bearing W of shelf, one
When loading a variety of process clamp materials on shelf, sub- material height gap on different travelers need within the scope of setting value C, sub- material
Constraint of the frame by factors is fallen, needing to be arranged certain falling, frame is regular, and choosing the different frame schemes that falls will affect shelf
The processing efficiency in circulation and entire workshop.
In Fig. 1, former material bj(j=1,2 ... N, N are natural number), sub- material ai(i=1,2 ... N, N are natural number), scheme
Kn (n=1,2 ... N, N are natural number), shelf Gn (n=1,2 ... N, N are natural number).
In addition, the cutting sequence of blanking scheme is also to influence frame since the quantity of enterprise's production line shelf has strict demand
One of the reason of subnumber amount, needs the cutting sequence of reasonable arrangement blanking scheme；In the blanking scheme continuously cut, sub- material
Quantity of the specification number no more than shelf.It therefore, will reasonable arrangement blanking plan and production scheduling according to demand before blanking
Plan, cutting stock problems and branch mailbox divide frame problem to be a combined problem, and the two mutually constrains.
Since cutting stock problem itself is excessively complicated, Consideration is more, solves difficulty, is difficult branch mailbox that frame is divided to constrain
It is placed directly in cutting stock problems and considers, it is therefore desirable to divide frame and cutting stock problem individually to consider branch mailbox, patent proposition is adopted
The problem is solved with progressive heuritic approach.Firstly, the cutting stock problem for not considering that branch mailbox divides frame to constrain is solved, according to
Specific blanking demand, solves blanking scheme using heuristic, recalls multiway tree Depth Priority Algorithm, finds
Meet the feasible blanking scheme that branch mailbox divides frame to constrain, branch mailbox is done to solution scheme, frame is divided to handle, make the solution scheme finally obtained
It is able to satisfy the constraint that branch mailbox divides frame.Otherwise, it needs to do blanking scheme certain amendment, returns to the first step of solution, to sub- material
Again it is grouped, increases and solve number of packet.New blanking prioritization scheme is obtained, optimal sequencing is carried out to scheme, with complete
The heuristic strategies of office's traversal complete split flow to the sub- material in each piece of former material in scheme and snap past journey, and determination needs shelf
Online quantity, traveling time and number, cutting stock is realized with this and branch mailbox divides frame process, completes the intelligence in finished workpart source
It can metaplasia production.While meeting each item constraint, former material utilization rate is improved, accelerates the quick operation production of producing line, improves producing line
Efficiency and throughput rate.
As shown in Figures 2 and 3, a kind of board-like product cutting stock of the present invention and branch mailbox divide frame integrated optimization method, including
Following steps:
A: being grouped sub- material, generates stock layout column scheme according to sub- face product, when the column scheme scale of generation is greater than son
When material scale, changes strategy using group, column scheme is reduced into two dimension layout scheme；Otherwise, a group change strategy is directlyed adopt, is carried out single
Block former material Cropping and blank layout；
B: it is divided and ruled solution to the two dimension layout scheme of step A using integrated Cplex engine, obtains multiple near-optimization stock layouts
Scheme；
C: carrying out multiway tree depth greed first search, loads the suitable of shelf according to the near-optimization layout project of step B
Angle value is answered, optimal sequencing is done to the near-optimization layout project, setting search mechanisms find the stock layout side for meeting and falling frame constraint
Case；When the closest excellent layout project is unsatisfactory for falling frame constraint, return step A splits sub- material again, increases sub- material grouping
Quantity generates new stock layout column scheme；
D: carrying out branch mailbox and divide frame, and the sub- material allocation flow card in the stock layout column scheme of frame constraint is fallen to satisfaction, and determination falls frame
Scheme.
Specifically, step A:
A1: pre-processing sub- material, when group material specification quantity > 10, is grouped blanking to sub- material.
A2: using Dimension-reduced Strategy, only consider the area of sub- material, raw by two dimension layout problem reduction at one-dimensional Cutting Stock Problem
At all stock layout column schemes: according to sub- material size, sequentially generating blanking weight, the blanking weight > of the sub- material of large area is small
The area of the blanking weight of the sub- material of area, i.e., sub- material is bigger, and corresponding weight is bigger.With greedy algorithm, with monolithic former material benefit
With a height of condition of rate, the preferentially biggish sub- material arrangement of selection blanking weight every time, when the biggish sub- material of blanking weight is arranged not
When lower, just the lesser sub- material of blanking weight is selected to arrange, and so on to generate all stock layout column schemes.
During stock layout column schemes generation, the sub- material specification number of monolithic former material typesetting is set as 3, the sub- material of monolithic former material typesetting
For specification number no more than setting value, which is sub- material specification fitness value.
The mathematical model for being suitble to this problem can be established by feasible discharge column scheme.If the number of repetition of every kind of discharge column scheme
For XM(m=1,2 ... M, M are natural number), in discharge column scheme j (j is natural number), the number of repetition of i-th of sub- material is aij
(i=1,2,3 ... N), the demand of i-th of sub- material are bi(i=1,2,3 ... N), Z is custom function,Indicate any j,
S.t represents constraint equation,
Objective function:
Decision variable: X1,X2,......,XMIt is nonnegative integer.
A3: it after all column schemes generations, needs all to restore column scheme, forms true two dimension layout scheme.
Change strategy using group, to the reduction stock layout of monolithic former material, according in stock layout column scheme former material and sub- material, sub- material is carried out in advance
Groupization processing, the Group of sub- material group chemical conversion two kinds of different directions of length and width, all Group of formation are added to
In groupList set.
A4: being placed into former material according to sub- material specification fitness value optimum selecting Group, is formed using horizontal or vertical cutting
0 piece, 1 piece or 2 pieces former material continues secondary former material to place Group, if secondary former material stock layout fails, returns to upper one layer, selects another
A Group reapposes cutting.According to this backtracking, recursive heuristic strategies, column scheme is reduced into two-dimensional blanking side
Case, blanking scheme meet constraint of imposing uniformity without examining individual cases.
Since the column scheme of generation is more, the blanking scheme reduction of single thread need to be taken considerable time, herein using multi-thread
Journey technology restores layout project, improves algorithm operational efficiency.Consider in the two-dimensional blanking scheme after reduction, there are part blankings
Scheme belongs to invalid blanking scheme, needs to do screening operation to blanking scheme, rejects invalid blanking scheme, reduces Cplex and solves
Column amount of projects.When being placed into former material according to sub- material specification fitness value optimum selecting Group, the utilization rate of monolithic former material is greater than
Utilization value is set, setting utilization value Ω=0.75 of monolithic former material makes effect layout project that need to meet above-mentioned sequence rules,
Preferentially select effective layout project of the condition of satisfaction.
A5: according to this backtracking of step A4, recursive heuristic strategies, stock layout column scheme is reduced into two dimension layout side
Case.
In step B: Cplex engine is called, by PROBLEM DECOMPOSITION at D subproblem, division and recursion solution is carried out to subproblem,
Find the optimal solution of former problem, wherein
Cplex solves the layout project come and belongs to random sequence.Before algorithm search, need to layout project into
Row pretreatment, i.e. progress step C.In step C: being serialized based on Greedy idea to all layout projects that step B is obtained, meter
The shelf quantity that single layout project needs is calculated, designs the fitness value fitness based on layout project addition shelf preferentially
Sort heuristic rule, and the fitness size according to layout project is ranked up；So that the sub- material that the blanking continuously cut includes
Specification number is not more than shelf quantity, has the layout project of identical sub- material, guarantees its continuous cutting, to reduce the use number of shelf
Amount.
Fitness=AcBx*2+NtBx-NwBx, wherein AcBx indicates to load the shelf number completed, and NtBx indicates next
Scheme identical cage subnumber, NwBx indicate that next scheme increases shelf number newly.
Multiway tree search is carried out, it is preferential to select using scheme of nodes recommendation mechanisms to enumerating for the layout project after sequence
The layout project for being entirely capable of completing to load shelf starts, and the stock layout for completing shelf then cannot be loaded according to completeness search one by one
Scheme, forming multiway tree only in this way can just search out a feasible solution (i.e. feasible layout project), and can use this
Feasible solution carries out feasibility beta pruning processing in search process.When layout project is unsatisfactory for falling frame constraint condition, multi-fork is cut off
The layout project of the node on tree.The setting of Pruning strategy can greatly reduce search range and search time.
During recursive search (i.e. multiway tree search), shelf number and completion has been searched for needed for real-time update record node
Whole shelf numbers of node layout project are discontented with when shelf number is more than maximum quantity (maximum quantity is preset)
Foot falls frame constraint condition, does not continue to search for, recall in advance, returns to a upper node layer, and recurrence finds another node layout project.
Recursive search each time is all the layout project that shelf loading can be completed or can greatly be completed to preferential selection.
After layout project has done optimal sequencing, if search plan, which is not satisfied, falls frame constraint condition, return step A,
Again sub- material is split, sub- material number of packet is increased, generates new stock layout column scheme.
After searching order, and layout project forms cutting sequence according to optimal rules, further to stock layout
The sub- material of scheme makees branch mailbox and frame is divided to handle.In the step D:
Using the method for overall situation traversal, all layout projects are traversed, the sub- material information in each piece of former material are recorded, by institute
There is sub- material information to be stored in sub- material SampleMap set, the sub- material of specification of the same race is divided into a traveler.It is drawn to sub- material
It when split flow card, is required to traverse subsequent layout project, looks for whether the sub- material there are same size, which is defined
There is the location information of the sub- material of same size in subsequent layout project in cutindex indexing parameter, track record.
When group material specification quantity is greater than maximum blanking rack subnumber, i.e., traveler quantity is greater than shelf quantity, needs pair
Sub- material in SampleMap marks off extra sub- material to come, while removing the stream in SampleMap as unit of traveler
The sub- material of journey card.
The removal that traveler is carried out using the heuristic strategies first removed, for the removal of traveler, in real time to all streams
Journey card is ranked up, and traveler sequentially forms loading queue, ordering strategy are as follows: traveler neutron material is all here to be emitted on most
Front and traveler neutron material it is a fairly large number of be emitted on front.By this ordering strategy, traveler sequentially forms loading
Queue, can effectively avoid shelf cross high latency and due to single traveler waiting and eventually lead to the failure of entire scheme
The case where.
For distributing the layout project of traveler, all it is added in allShelfList set, it is right
Traveler in allShelfList post-processes, and generates the quantity of current process clamp material, frame number is numbered and fallen to traveler.
When falling frame as unit of traveler, a shelf can load one or more process clamp materials, and a process
Card can only be stored on a shelf, and traveler is cached on shelf according to the heuristic rule of setting.
When falling frame, traveler is cached on shelf according to the heuristic rule of setting, heuristic rule:
(1) traveler preferentially loads empty shelf；
(2) if not being free shelf, multiple travelers can be loaded by judging whether there is shelf；
(3) it is not satisfied more than, removes a shelf, be moved into an empty shelf again, place traveler.
It is preferential to remove the whole here shelfs of sub- material on traveler during removing shelf from working region,
If sub- material is not here on all travelers, selection removes the sub- a fairly large number of shelf of material.
The technical principle of the invention is described above in combination with a specific embodiment.These descriptions are intended merely to explain of the invention
Principle, and shall not be construed in any way as a limitation of the scope of protection of the invention.Based on the explanation herein, the technology of this field
Personnel can associate with other specific embodiments of the invention without creative labor, these modes are fallen within
Within protection scope of the present invention.
Claims (9)
1. a kind of board-like product cutting stock and branch mailbox divide frame integrated optimization method, which comprises the following steps:
A: being grouped sub- material, generates stock layout column scheme according to sub- face product, when the column scheme scale of generation is advised greater than sub- material
When mould, changes strategy using group, column scheme is reduced into two dimension layout scheme；Otherwise, a group change strategy is directlyed adopt, it is former to carry out monolithic
Material Cropping and blank layout；
B: it is divided and ruled solution to the two dimension layout scheme of step A using integrated Cplex engine, obtains multiple near-optimization stock layout sides
Case；
C: carrying out multiway tree depth greed first search, and the fitness of shelf is loaded according to the near-optimization layout project of step B
Value does optimal sequencing to the near-optimization layout project, and setting search mechanisms find the layout project for meeting and falling frame constraint；When
When the near-optimization layout project is unsatisfactory for falling frame constraint, return step A splits sub- material again, increases sub- material number of packet,
Generate new stock layout column scheme；
D: carrying out branch mailbox and divide frame, and the sub- material allocation flow card in the stock layout column scheme of frame constraint is fallen to satisfaction, and determination falls frame scheme；
In the step C: being serialized based on Greedy idea to all layout projects that step B is obtained, calculate single stock layout
The shelf quantity that scheme needs designs the fitness value fitness based on layout project addition shelf and preferentially sorts heuristic rule
Then, it is ranked up according to the fitness size of layout project；
Fitness=AcBx*2+NtBx-NwBx, wherein AcBx indicates to load the shelf number completed, and NtBx indicates next scheme
Identical cage subnumber, NwBx indicate that next scheme increases shelf number newly.
2. board-like product cutting stock according to claim 1 and branch mailbox divide frame integrated optimization method, which is characterized in that
The step of in the step A, being grouped to sub- material, generating stock layout column scheme according to sub- face product is as follows:
A1: pre-processing sub- material, when group material specification quantity > 10, is grouped blanking to sub- material；
A2: using Dimension-reduced Strategy, only consider the area of sub- material, by two dimension layout problem reduction at one-dimensional Cutting Stock Problem, generates institute
Some stock layout column schemes: according to sub- material size, blanking weight, the blanking weight > small area of the sub- material of large area are sequentially generated
The blanking weight of sub- material, with greedy algorithm, with a height of condition of monolithic former material utilization rate, every time preferentially selection blanking weight compared with
Big sub- material arrangement just selects the lesser sub- material of blanking weight to arrange when the biggish sub- material of blanking weight is not arranged,
The rest may be inferred generates all stock layout column schemes.
3. board-like product cutting stock according to claim 2 and branch mailbox divide frame integrated optimization method, which is characterized in that
During stock layout column schemes generation, the sub- material specification number of monolithic former material typesetting is set as 3, the sub- material specification number of monolithic former material typesetting cannot
More than setting value, which is sub- material specification fitness value.
4. board-like product cutting stock according to claim 3 and branch mailbox divide frame integrated optimization method, which is characterized in that
In step A, when the column scheme scale of generation is greater than sub- material scale, changes strategy using group, column scheme is reduced into two dimension layout
Scheme, steps are as follows:
A3: it is tactful using groupization, to the reduction stock layout of monolithic former material, according in stock layout column scheme former material and sub- material, it is preparatory right
Sub- material carries out a group change processing, and the Group of sub- material group chemical conversion two kinds of different directions of length and width, all Group of formation add
It is added in groupList set；
A4: being placed into former material according to sub- material specification fitness value optimum selecting Group, using horizontal or vertical cutting formed 0 piece,
1 piece or 2 pieces former material continues secondary former material to place Group, if secondary former material stock layout fails, returns to upper one layer, selects another
Group reapposes cutting；
A5: according to this backtracking of step A4, recursive heuristic strategies, stock layout column scheme is reduced into two dimension layout scheme.
5. board-like product cutting stock according to claim 4 and branch mailbox divide frame integrated optimization method, which is characterized in that
In the step A4, when being placed into former material according to sub- material specification fitness value optimum selecting Group, the utilization rate of monolithic former material is big
In setting utilization value, setting utilization value Ω=0.75 of monolithic former material.
6. board-like product cutting stock according to claim 1 and branch mailbox divide frame integrated optimization method, which is characterized in that institute
It states in step C: carrying out multiway tree search, it is preferential to select using scheme of nodes recommendation mechanisms to enumerating for the layout project after sequence
It selects the layout project for being entirely capable of completing to load shelf to start, the row for completing shelf then cannot be loaded according to completeness search one by one
Sample prescription case forms multiway tree and cuts off the stock layout side of the node on multiway tree when layout project is unsatisfactory for falling frame constraint condition
Case；
After layout project has done optimal sequencing, if search plan, which is not satisfied, falls frame constraint condition, return step A, again
Sub- material is split, sub- material number of packet is increased, generates new stock layout column scheme.
7. board-like product cutting stock according to claim 1 and branch mailbox divide frame integrated optimization method, which is characterized in that
In the step D:
Using the method for overall situation traversal, all layout projects are traversed, the sub- material information in each piece of former material are recorded, by all sons
Material information is stored in sub- material SampleMap set, and the sub- material of specification of the same race is divided into a traveler；
For distributing the layout project of traveler, all it is added in allShelfList set, in allShelfList
Traveler post-process, generate current process clamp material quantity, traveler number and fall frame number；
When falling frame as unit of traveler, a shelf can load one or more process clamp materials, and a traveler is only
It can be stored on a shelf, traveler is cached on shelf according to the heuristic rule of setting；
It is preferential to remove the whole here shelfs of sub- material on traveler during removing shelf from working region, if
Sub- material is not here on all travelers, and selection removes the sub- a fairly large number of shelf of material.
8. board-like product cutting stock according to claim 7 and branch mailbox divide frame integrated optimization method, which is characterized in that
When dividing traveler to sub- material, it is required to traverse subsequent layout project, the sub- material there are same size is looked for whether, to identical
Traveler where the sub- material of rule defines cutindex indexing parameter, and track record same size occurs in subsequent layout project
The location information of sub- material；
When group material specification quantity is greater than maximum blanking rack subnumber, i.e., traveler quantity is greater than shelf quantity, needs pair
Sub- material in SampleMap marks off extra sub- material to come, while removing the stream in SampleMap as unit of traveler
The sub- material of journey card；
The removal that traveler is carried out using the heuristic strategies that first remove, is in real time ranked up all travelers, traveler according to
Secondary formation loads queue, ordering strategy are as follows: all here discharge is up front and traveler neutron material for traveler neutron material
It is a fairly large number of to be emitted on front.
9. board-like product cutting stock according to claim 7 and branch mailbox divide frame integrated optimization method, which is characterized in that fall
When frame, traveler is cached on shelf according to the heuristic rule of setting, the heuristic rule:
(1) traveler preferentially loads empty shelf；
(2) if not being free shelf, multiple travelers can be loaded by judging whether there is shelf；
(3) it is not satisfied more than, removes a shelf, be moved into an empty shelf again, place traveler.
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| CN109967796B (en) * | 2019-03-18 | 2020-11-20 | 广东三维家信息科技有限公司 | Cutting method and device based on plate type material |
| CN111039019B (en) * | 2019-12-31 | 2021-08-17 | 吴江南玻华东工程玻璃有限公司 | Glass cutting, box separating and racking system and box separating and racking method |
| CN111311004B (en) * | 2020-02-21 | 2020-10-09 | 广东工业大学 | Layered iterative layout optimization method considering cutting efficiency and utilization rate |
| CN111353528B (en) * | 2020-02-21 | 2020-10-30 | 广东工业大学 | Batch and stock layout iterative optimization method based on blanking utilization rate prediction |
| CN111368421B (en) * | 2020-03-02 | 2023-07-28 | 广西大学 | Grouping heuristic method for stacking and blanking furniture boards |
| CN111507527B (en) * | 2020-04-17 | 2022-04-19 | 无锡雪浪数制科技有限公司 | Furniture blanking typesetting optimization method considering raw material diversity and uncertainty |
| CN111985834B (en) * | 2020-08-28 | 2022-06-14 | 华中科技大学 | Paper roll slitting method based on depth-first search and application thereof |
| CN112418530A (en) * | 2020-11-24 | 2021-02-26 | 上海维宏电子科技股份有限公司 | Method, system, device, processor and storage medium for realizing layout optimization processing of pipe parts in pipe cutting process |
| CN113052376A (en) * | 2021-03-19 | 2021-06-29 | 杭州晨龙智能科技有限公司 | Production scheduling method and device, storage medium and electronic equipment |
| CN117172473A (en) * | 2023-09-04 | 2023-12-05 | 晞德求索(北京)科技有限公司 | One-dimensional blanking method and device based on dynamic allocation |
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