CN106557836A - It is a kind of to be directed to processing optimization method processed under primacord - Google Patents

Abstract

The invention discloses a kind of method for processing processed optimization under primacord, priming system rope class production method of the present invention is comprised the following steps, step one：Determine production specification and mission requirements, select primacord processing specification, processing specification to include lower length processed, stamp position, remove length and crimping position；Step 2：Determine the basic parameter of raw material primacord, such as often roll up the length of primacord, diameter, color etc.；Step 3：Optimization problem is set up, according to the total length of all primacords after processing, and processing specifications parameter, find the mode for meeting the production and processing specification；Step 4：Calculation optimization result；Step 5：Analysis result feasibility, sets up corresponding monitoring display interface and data base, and assigns production task.Can realize that primacord reaches the purposes such as minimum, remaining minimum, the reduction processing cost of clout of raw material usage amount in the lower course of processing processed using method of the present invention.

Description

It is a kind of to be directed to processing optimization method processed under primacord

Technical field

The invention belongs to priming system rope class production field, is related to a kind of side for processing optimization processed under primacord Method.

Background technology

Primacord is usually used in while the rope of multiple powder charges of detonating also known as primacord.Raw material primacord is with a roll of mostly Form output, as occasion used, field are different, required primacord length is different.Using front generally requiring to leading Quick-fried rope is processed, and is come into operation after machining again.

At present, under primacord there is problems with the course of processing processed：

(1) under, processing sequence processed is single, causes the waste of primacord clout；

(2) primacord processing method is not reasonably planned, causes the uncontrolled use of raw material primacord, processing cost to increase Plus；

(3) under, process processed does not account for the presence of error, causes percent defective to raise.

Therefore, under current primacord, the course of processing processed needs a kind of rationally efficient optimized algorithm, so as to realize reducing former The use of material and the waste of clout, and improve qualification rate, reduce processing cost.

The content of the invention

In order to solve problem present in the course of processing processed under primacord, the invention discloses a kind of for making under primacord The method of processing optimization.The characteristics of processing of primacord often has small lot, many specifications.If primacord is advised by each Lattice are processed one by one, then the excessive situation of every volume primacord waste material occurs, cause primacord stock roll number to use insufficient, And these waste materials will not be used for processing next time, excessive waste causes processing cost to rise.

In order to reduce the appearance of problem above, the present invention proposes a kind of optimized algorithm of processing processed under primacord, specifically Step is：

Step one：Determine primacord processing specification and production task.Assume the processing specification needed for a collection of primacord of production There are n kinds, the length lower processed of every kind of specification primacord is l₁, l₂, l₃..., l_n, needed for every kind of specification, the radical of lower system is a₁, a₂, a₃…a_n, then under primacord, total length processed is：

L=a₁l₁+a₂l₂+a₃l₃+...+a_nl_n

Primacord processes total radical：

A=a₁+a₂+a₃+...+a_n

Step 2：Determine the parameter and needed raw material volume number of raw material primacord.The diameter of raw material primacord, total length, The parameters such as color have differences, and need to be determined for compliance with this series-produced raw material primacord in advance.Assume to need raw material to lead altogether Quick-fried rope volume number is m, and the length often rolled up is s₁, s₂, s₃..., s_m, the basic constraints between raw material length and lower total length processed For：

L≤s₁+s₂+s₃+...+s_m

Step 3：Processing planning problem processed under the primacord that foundation is matched with production task.Hypothesis often rolls up primacord The length lower processed of multiple specifications can be processed, every primacord is labeled as δ after machining₁, δ₂, δ₃..., δ_A, often volume lead it is quick-fried The clout of rope is M₁, M₂, M₃..., M_m, while there is error in process of production and set in view of the length lower processed of each specification The error of fixed same specification is identical, respectively e₁, e₂, e₃..., e_n, then m volume of primacord need to meet：

M is understood by physical condition₁>=0, M₂>=0 ..., M_m>=0, and δ_ijExistence restraint condition is：

Wherein δ_ij∈ (0,1) (i=1,2,3..., m；J=1,2,3 ..., A), make set X={ δ₁₁,δ₁₂,δ₁₃,... δ_mA}。

Further, determine the volume number of optimizing materials primacord.Assume that often rolling up primacord is labeled as θ₁, θ₂, θ₃..., θ_m, then m Volume primacord needs to meet：

θ₁s₁+θ₂s₂+θ₃s₃+...+θ_ms_m-L≥0

Wherein θ_i(0,1) (i=1,2,3 ..., m), make set Y={ θ to ∈₁,θ₂,θ₃,...θ_m}。

Step 4：Result of calculation is obtained using optimized calculation method.Step 3 proposes the constraint bar for reducing clout and raw material Part, in summary, if thinking, primacord clout and raw material are minimum, ask for equation below by branch and bound method, you can obtain excellent Change result.

Wherein X={ δ₁₁,δ₁₂,δ₁₃,...δ_mA, Y={ θ₁,θ₂,θ₃,...θ_m}。

Step 5：Analysis obtains the effectiveness of result, and assigns production task after optimization.After being calculated optimum results, The effectiveness of optimum results is checked, if feasible, optimization production task is assigned；If infeasible, find problem and correct, repeat Above step.

Description of the drawings

In order that the purpose of the present invention, technical scheme and beneficial effect are clearer, the present invention provides drawings described below and carries out Explanation：

Fig. 1 is the flow chart for processing optimization method processed under primacord of the present invention

Fig. 2 is the flow chart that the present invention is embodied as process of manufacture

Below in conjunction with accompanying drawing, the optimization method of the present invention is described in detail.

As shown in figure 1, the present invention provide for processing optimization method processed under primacord, comprise the steps of：

Step one：Determine primacord processing specification and production task.Assume the processing specification needed for a collection of primacord of production There are n kinds, the length lower processed of every kind of specification primacord is l₁, l₂, l₃..., l_n, needed for every kind of specification, the radical of lower system is a₁, a₂, a₃…a_n, then under primacord, total length processed is：

L=a₁l₁+a₂l₂+a₃l₃+...+a_nl_n

Primacord processes total radical：

A=a₁+a₂+a₃+...+a_n

Step 2：Determine the parameter and needed raw material volume number of raw material primacord.The diameter of raw material primacord, total length, The parameters such as color have differences, and need to be determined for compliance with this series-produced raw material primacord in advance.Assume to need raw material to lead altogether Quick-fried rope volume number is m, and the length often rolled up is s₁, s₂, s₃..., s_m, the basic constraints between raw material length and lower total length processed For：

L≤s₁+s₂+s₃+...+s_m

Step 3：Processing planning problem processed under the primacord that foundation is matched with production task.Hypothesis often rolls up primacord The length lower processed of multiple specifications can be processed, every primacord is labeled as δ after machining₁, δ₂, δ₃..., δ_A, often volume lead it is quick-fried The clout of rope is M₁, M₂, M₃..., M_m, while there is error in process of production and set in view of the length lower processed of each specification The error of fixed same specification is identical, respectively e₁, e₂, e₃..., e_n, then m volume of primacord need to meet：

M is understood by physical condition₁>=0, M₂>=0 ..., M_m>=0, and δ_ijExistence restraint condition is：

Wherein δ_ij∈ (0,1) (i=1,2,3..., m；J=1,2,3 ..., A), make set X={ δ₁₁,δ₁₂,δ₁₃,... δ_mA}。

Further, determine the volume number of optimizing materials primacord.Assume that often rolling up primacord is labeled as θ₁, θ₂, θ₃..., θ_m, then m Volume primacord needs to meet：

θ₁s₁+θ₂s₂+θ₃s₃+...+θ_ms_m-L≥0

Wherein θ_i(0,1) (i=1,2,3 ..., m), make set Y={ θ to ∈₁,θ₂,θ₃,...θ_m}。

Step 4：Result of calculation is obtained using optimized calculation method.Step 3 proposes the constraint bar for reducing clout and raw material Part, in summary, if thinking, primacord clout and raw material are minimum, ask for equation below by branch and bound method, you can obtain excellent Change result.

Wherein X={ δ₁₁,δ₁₂,δ₁₃,...δ_mA, Y={ θ₁,θ₂,θ₃,...θ_m}。

Step 5：Analysis obtains the effectiveness of result, and assigns production task after optimization.After being calculated optimum results, The effectiveness of optimum results is checked, if feasible, optimization production task is assigned；If infeasible, find problem and correct, repeat Above step.

As shown in Fig. 2 the step of present invention is embodied as process of manufacture is：

Step one：Determine production specification and mission requirements, select primacord processing specification, processing specification to include lower system length Degree, stamp position, removal length and crimping position；

Step 2：Determine the basic parameter of raw material primacord, such as often roll up the length of primacord, diameter, color etc.；

Step 3：Optimization problem is set up, according to the total length of all primacords after processing, and processing specifications parameter, seek The mode for meeting the production and processing specification is looked for, and it is suitable that the processing of optimum is calculated from from the aspect of raw material, clout, error three Sequence；

Step 4：Calculation optimization result；

Step 5：Analysis result feasibility, sets up corresponding monitoring display interface and data base, and assigns production task.

Claims (6)

1. it is a kind of for processing optimization method processed under primacord, it is characterised in that to comprise the following steps：

Step one：Determine primacord processing specification and production task；

Step 2：Determine the parameter and needed raw material volume number of raw material primacord；

Step 3：Processing planning problem processed under the primacord that foundation is matched with production task；

Step 4：Result of calculation is obtained using optimized calculation method；

Step 5：Analysis obtains the effectiveness of result, and assigns production task after optimization.

2. according to claim 1 for processing optimization method processed under primacord, it is characterised in that：Primacord before Processing mode use every kind of specification and produce in order, a kind of specification all machine after under processing a kind of specification, So occur the situation wasted in a large number by raw material primacord, the present invention using plurality of specifications regardless of order processing mode, with Clout is minimum, reduce raw material primacord as far as possible using being principle, processes primacord different in size, greatly reduces and produce into This.

3. it is according to claim 1 for processing optimization method processed under primacord, it is characterised in that step 3 is taken In the following manner：

It is that processing is minimum with the clout M of a collection of many specification primacords in view of first optimization direction, it is proposed that with regard to clout M's Constraints：

$\left\{\begin{array}{c}{s}_1-\[{\mathrm{\δ}}_{11}\left(l_1\±e_1\right)+\mathrm{...}+{\mathrm{\δ}}_{1A}(l_n\±e_n)\]\≥M_1\\ s_2-\[{\mathrm{\δ}}_{21}\left(l_1\±e_1\right)+\mathrm{...}+{\mathrm{\δ}}_{2A}(l_n\±e_n)\]\≥M_2\\ s_3-\[{\mathrm{\δ}}_{31}\left(l_1\±e_1\right)+\mathrm{...}+{\mathrm{\δ}}_{3A}(l_n\±e_n)\]\≥M_3\\ \mathrm{...}\\ s_m-\[{\mathrm{\δ}}_{m1}\left(l_1\±e_1\right)+\mathrm{...}+{\mathrm{\δ}}_{mA}(l_n\±e_n)\]\≥M_m\end{array}\right.$

M is understood by physical condition₁>=0, M₂>=0 ..., M_m>=0, and δ_ijExistence restraint condition is：

$\left\{\begin{array}{c}{\mathrm{\δ}}_{11}+{\mathrm{\δ}}_{12}+{\mathrm{\δ}}_{13}+\mathrm{...}+{\mathrm{\δ}}_{1A}=1\\ {\mathrm{\δ}}_{21}+{\mathrm{\δ}}_{22}+{\mathrm{\δ}}_{23}+\mathrm{...}+{\mathrm{\δ}}_{2A}=1\\ {\mathrm{\δ}}_{31}+{\mathrm{\δ}}_{32}+{\mathrm{\δ}}_{33}+\mathrm{...}+{\mathrm{\δ}}_{3A}=1\\ \mathrm{...}\\ {\mathrm{\δ}}_{m1}+{\mathrm{\δ}}_{m2}+{\mathrm{\δ}}_{m3}+\mathrm{...}+{\mathrm{\δ}}_{mA}=1\end{array}\right.$

Wherein δ_ij∈ (0,1) (i=1,2,3..., m；J=1,2,3 ..., A), whenWhen minimum, then primacord is remaining useless Material is minimum, and now under primacord, processing mode processed is optimized.

4. it is according to claim 1 for processing optimization method processed under primacord, it is characterised in that step 3 is taken In the following manner：

In view of there is error e during lower system, calculatingDuring add error so that whole calculating process is more Tally with the actual situation, so as to improve conforming product rate.

5. it is according to claim 1 for processing optimization method processed under primacord, it is characterised in that step 3 is taken In the following manner：

It is that, on the premise of production task is completed, the volume number m of reduction raw material primacord, carries as far as possible in view of second optimization direction The constraints of number m is gone out to roll up with regard to raw material primacord：

θ₁s₁+θ₂s₂+θ₃s₃+...+θ_ms_m-L≥0

Wherein θ_i∈ (0, and 1) (i=1,2,3 ..., m), when the labelled amount of every volume primacordWhen minimum, primacord used Volume number is minimum.

6. it is according to claim 1 for processing optimization method processed under primacord, it is characterised in that step 4 is taken In the following manner：

Take branch and bound method to try to achieve following equations, obtain final optimization pass result.

$\underset{\{X,Y\}}{min}\underset{i=1}{\overset{m}{\Σ}}(M_i+{\mathrm{\θ}}_i)$

Wherein X={ δ₁₁,δ₁₂,δ₁₃,...δ_mA, Y={ θ₁,θ₂,θ₃,...θ_m}。