CN109460954A - A kind of supplier's direct-furnish line side material allocation method based on JIT-VMI - Google Patents
A kind of supplier's direct-furnish line side material allocation method based on JIT-VMI 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
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- G06Q10/08—Logistics, e.g. warehousing, loading or distribution; Inventory or stock management
- G06Q10/087—Inventory or stock management, e.g. order filling, procurement or balancing against orders
Abstract
Supplier's direct-furnish line side material allocation method based on JIT-VMI that the present invention relates to a kind of, related data parameter is obtained first, then minimum material allocation total cost model is established, supplier's direct-furnish line side material allocation dynamic phase i.e. based on JIT-VMI measures Optimized model, finally minimum material allocation total cost model is handled, obtains optimal dispatching batch and the optimal dispatching frequency under minimum material allocation totle drilling cost.Can determine it is cooperate with manufacturer production plan sequence, measured with the best material allocation phase that dynamic need is adapted and VMI quantity in stock standard, if carrying out material allocation according to obtained optimal dispatching batch and the optimal dispatching frequency, it can be realized the Panel management of supplier's material allocation, promote client's production efficiency, meet customer personalized demand, material allocation totle drilling cost can also be utmostly reduced, while cooperateing with reduction supplier and manufacturer inventory.
Description
Technical field
Supplier's direct-furnish line side material allocation method based on JIT-VMI that the present invention relates to a kind of.
Background technique
Mixed-model assembly production be to meet customer personalized demand, it is assembly technology is similar and the different product of model exists
One enterprising luggage of production line is matched, and realizes low cost, high quality and efficient Flexible Production mode.Mixed-model assembly produces energy
It enough effectively improves production efficiency and reduces cost, but increase the difficulty of material allocation Panel management simultaneously.Material allocation is basis
Product BOM and process or station supplies consumption and the logistics that material is sent to process or station in time on demand in conjunction with productive temp
Activity is the key element in production logistics system.The dynamic material dispatching standard of periodical quantity wherein cooperateed with production sequence plan
It is key, it is orderly carried out for guaranteeing to produce, and reduction inventory plays an important role.
The dispatching research of supplier's direct-furnish line side material Panel management involved in existing is less, for mixed-model assembly type manufacturing enterprise
Material of the same race has multi-provider to supply and the supplier's dynamic material dispatching phase amount model cooperateed with production sequence plan is ground
Study carefully more rare.The Panel management degree of existing supplier's material allocation is lower, can not the customer personalized demand of quick response, into
And the production efficiency of client is reduced, and distribution cost is higher.
Summary of the invention
Supplier's direct-furnish line side material allocation method based on JIT-VMI that the object of the present invention is to provide a kind of, to solve
The problem of Panel management degree of certainly existing supplier's material allocation is lower, reduces client's production efficiency.
To achieve the above object, the solution of the present invention includes that a kind of supplier's direct-furnish line side material based on JIT-VMI is matched
Delivery method, comprising the following steps:
(1) supplier's material production beat, manufacturer's assembly line productive temp, production schedule cycle time, supply are obtained
Material is transported to the warehouse VMI time, the lay day on the online side of material, VMI warehouse materials safety inventory coefficient, a life by quotient
It produces in the planning cycle time, output, the production single product of corresponding product need the quantity of material, supplier to supply homologue
The supply ratio of material, Board Lot unit time VMI material store expense, the warehouse VMI dispenses a material fixed cost coefficient,
The warehouse VMI dispense unit distance cost coefficient, the warehouse VMI away from manufacturer distance, Board Lot material handling cost coefficient and
Board Lot unit time line side material stores cost coefficient;
(2) minimum material allocation total cost model is established;
(3) minimum material allocation total cost model is handled, obtain under minimum material allocation totle drilling cost optimal matches
Send batch and the optimal dispatching frequency.
Minimum material allocation total cost model is first established according to the relevant parameter got, that is, is established based on JIT-VMI's
Supplier's direct-furnish line side material allocation dynamic phase measures Optimized model, then handles the model, obtains minimum material allocation
Optimal dispatching batch and the optimal dispatching frequency under totle drilling cost, can determine it is cooperate with manufacturer production plan sequence, with move
The amount of best material allocation phase and VMI quantity in stock standard that state demand is adapted are matched according to obtained optimal dispatching batch with optimal
If sending the frequency to carry out material allocation, the Panel management of supplier's material allocation can be realized, it is therefore prevented that because supplier's dispatching is too late
Shi Zaocheng production line stops the generation of line phenomenon, promotes client's production efficiency, meets customer personalized demand, additionally it is possible to utmostly
Material allocation totle drilling cost is reduced, while reducing supplier and manufacturer inventory.
Further, the minimum material allocation total cost model include material allocation totle drilling cost majorized function and with institute
The corresponding constraint condition of majorized function is stated, the constraint condition includes:
1) dispatching batch is less than or equal to transporting equipment maximum loading;
2) warehouse VMI dispatching interval be more than or equal to transporting equipment from the warehouse VMI to manufacturer the turnaround time and dress
Unload the sum of time;
3) difference that batch is less than or equal to manufacturer's production line line side maximum inventory and safety inventory is dispensed every time, and big
In or equal in each distribution time material consumption;
4) n beforek-1Batch materials dispensed amounts meet n-thkProduction requirement before batch materials arrival, meanwhile, when n-thk-1Criticize object
Expect that line side material total amount is less than or equal to maximum inventory when reaching.Further, material allocation totle drilling cost majorized function
Are as follows:
Constraint condition 1) corresponding criterion expression formula are as follows:
vk(t)≤nvvmax
Constraint condition 2) corresponding criterion expression formula are as follows:
Constraint condition 3) corresponding criterion expression formula are as follows:
Constraint condition 4) corresponding criterion expression formula are as follows:
Wherein, the meaning of μ (u, v) are as follows:
xkjMeaning are as follows:
For rounding symbol, indicate to round up, SkFor supplier's index, k=1,2,3 ..., K, t are production plan week
Time phase, tjFor supplier SkMaterial production beat, tzFor manufacturer's assembly line productive temp, tvFor supplier SkMaterial is transported
To the warehouse VMI time, thFor the lay day on the online side of material, tsFor supplier SkFrom the warehouse VMI to manufacturer, production line side is matched
The time is sent, β is VMI warehouse materials safety inventory coefficient, and n is that manufacturer produces product category, i=1, and 2,3 ..., n, m are to produce
Product corresponding material type, j=1,2,3 ..., m, qiIt (t) is the output of product i in a production schedule cycle time, aij
The quantity of material j, α are needed for production single product ijkFor supplier SkSupply the supply ratio of material j, cvFor unit quantity list
Position time VMI material stores expense, csA material fixed cost coefficient, c are dispensed for the warehouse VMIdUnit is dispensed for the warehouse VMI
Distance costs coefficient, dkIt is the warehouse VMI away from manufacturer's distance, czFor unit amount of material shipping and delivery cost coefficient, cxFor unit quantity
Unit time line side material stores cost coefficient, vkIt (t) is the warehouse VMI material dispensing batch, vmaxFor the warehouse VMI transporting equipment
Maximum loading, nk(t) in a production schedule cycle time, the warehouse VMI dispenses the frequency, nvIt is set for the dispatching transport of the warehouse VMI
Standby quantity, VxFor manufacturer's production line line side maximum inventory, BijFor material j assembly line line side safety inventory,For
Supplier SkN-thk(t) time of secondary dispatching.
Further, optimal dispatching batchAre as follows:
The optimal dispatching frequencyAre as follows:
Detailed description of the invention
Fig. 1 is that the whole of supplier's direct-furnish line side material allocation method provided by the invention based on JIT-VMI realizes stream
Cheng Tu;
Fig. 2 is JIT-VMI operational mode schematic diagram;
Fig. 3 is three layers of material allocation policy framework schematic diagram.
Specific embodiment
A kind of supplier's direct-furnish line side material allocation method based on JIT-VMI, as shown in Figure 1, comprising the following steps:
(1) supplier's material production beat, manufacturer's assembly line productive temp, production schedule cycle time, supply are obtained
Material is transported to the warehouse VMI time, the lay day on the online side of material, VMI warehouse materials safety inventory coefficient, a life by quotient
It produces in the planning cycle time, output, the production single product of corresponding product need the quantity of material, supplier to supply homologue
The supply ratio of material, Board Lot unit time VMI material store expense, the warehouse VMI dispenses a material fixed cost coefficient,
The warehouse VMI dispense unit distance cost coefficient, the warehouse VMI away from manufacturer distance, Board Lot material handling cost coefficient and
Board Lot unit time line side material stores cost coefficient;
(2) minimum material allocation total cost model is established;
(3) minimum material allocation total cost model is handled, obtain under minimum material allocation totle drilling cost optimal matches
Send batch and the optimal dispatching frequency.
Above-mentioned basic technical scheme is specifically described below in conjunction with attached drawing.
Panel management dispatching (JIT-VMI) under Vendor Managed Inventory is by Vendor Managed Inventory and Panel management dispatching connection
Conjunction is evolved, and is centered on manufacturer's demand, towards station material Panel management dispatching, is by manufacturer and supplier
A kind of co-operating material allocation mode.Supplier is believed based on manufacturer's production requirement and material requirement in conjunction with VMI inventory
Breath and itself practical condition are arranged production.At the same time, supplier independently formulates distribution strategy, the warehouse supplier VMI according to
Panel management dispatching is carried out according to distribution strategy, JIT-VMI operational mode is as shown in Figure 2.
In the actual production process, the dispatching of supplier's material needs to meet assembly line mobilism material requirement, needs simultaneously
The benefit between material allocation cost and inventory cost is solved to be contrary to indirect problem, on the basis of JIT-VMI dispenses operational mode, this
Embodiment proposes three layers of material allocation strategy of supplier.Supplier is with manufacturer's production schedules information, the supplies consumption of line side
Information and material requirement information etc. are input, are output with material dynamic Distribution Planing and the plan of replenishing of material dynamic, are formed
To dispense Necd decision, dispatching batch decision and distribution time decision as three layers of material allocation strategy of core, timely respond to make
The variation of quotient's assembly line material requirement is made, three layers of material allocation policy framework are as shown in Figure 3.The warehouse supplier VMI is dynamic according to material
State distribution plan is sorted warehouse materials with distribution time by dispatching batch, and timely respond to manufacturer's production change and
Material requirement changes, in the case where taking into account material allocation cost and the optimal principle of inventory cost, to direct-furnish manufacturer assembly line line side
Material carry out Panel management dispatching, to meet production requirement.
From the supply for reducing supplier and manufacturer's two-level supply chain visual angle and being cooperateed with manufacturer production plan sequence
Quotient's material allocation punctuality considers, needs to establish optimization aim.Optimization aim mainly include supplier VMI warehouse inventory cost,
Supplier VMI warehouse materials distribution cost and manufacturer's line side inventory cost.Wherein supplier VMI warehouse inventory cost and manufacture
Quotient's line side inventory cost is mainly related with quantity in stock and storage time.Supplier VMI warehouse materials distribution cost includes matching every time
The distance costs and material handling cost of the fixed cost, transporting equipment (such as haulage vehicle) traveling sent.
It, need to be according to manufacturer production plan sequence, in the stipulated time, by material from supplier during material allocation
The warehouse VMI is sent on time to manufacturer's assembly line line side, therefore material allocation process needs to meet on the whole following three aspects
Constraint condition: (1) batch of supplier's single dispatching is maximum no more than the maximum carrying capacity of transporting equipment and assembly line line side
Quantity in stock;(2) supplier's material allocation interval is greater than the time loss during material transportation;(3) supplier's single is matched
Batch is sent to can guarantee that assembly line does not occur to lack material.
Based on above-mentioned material allocation principle, supplier's direct-furnish line side material provided in this embodiment based on JIT-VMI is matched
Delivery method includes following three big steps:
Step 1: parameter relevant to minimum material allocation total cost model is established is obtained, and such as: supplier's material production
Material is transported to the warehouse VMI time, material by beat, manufacturer's assembly line productive temp, production schedule cycle time, supplier
Lay day on online side, VMI warehouse materials safety inventory coefficient, in a production schedule cycle time, the life of corresponding product
Yield, production single product need the quantity of material, supplier to supply the supply ratio of corresponding material, Board Lot unit time
VMI material stores expense, the warehouse VMI dispenses a material fixed cost coefficient, the warehouse VMI dispenses unit distance cost coefficient,
The warehouse VMI is away from manufacturer's distance, Board Lot material handling cost coefficient and the storage of Board Lot unit time line side material
Cost coefficient etc..
In order to mutually correlate with the specific function of following offers, it is listed below each design parameter.
SkFor supplier's index, k=1,2,3 ..., K, t are production schedule cycle time, tjFor supplier SkMaterial production
Beat, tzFor manufacturer's assembly line productive temp, tvFor supplier SkMaterial is transported to the warehouse VMI time, thIt is online for material
The lay day on side, tsFor supplier SkThe production line side distribution time from the warehouse VMI to manufacturer, β are VMI warehouse materials safety
Stock coefficient, n be manufacturer produce product category, i=1,2,3 ..., n, m be product corresponding material type, j=1,2,
3 ..., m, qiIt (t) is the output of product i in a production schedule cycle time t, aijObject is needed for production single product i
Expect the quantity of j, αjkFor supplier SkSupply the supply ratio of material j, CvIt (t) is VMI in a production schedule cycle time t
Warehouse inventory cost;CpIt (t) is the warehouse VMI distribution cost in a production schedule cycle time t, CxIt (t) is a production meter
It draws in cycle time t, manufacturer's line side inventory cost, cvExpense, c are stored for unit unit of quantity time VMI materialsFor the storehouse VMI
Library dispenses a material fixed cost coefficient, cdUnit distance cost coefficient, d are dispensed for the warehouse VMIkIt is the warehouse VMI away from manufacturer
Distance, czFor unit amount of material shipping and delivery cost coefficient, cxCost coefficient, v are stored for unit unit of quantity timeline side materialk
It (t) is the warehouse VMI material dispensing batch, vmaxFor the warehouse VMI transporting equipment maximum loading, nkIt (t) is a production plan week
In time phase t, the warehouse VMI dispenses the frequency, nvTransporting equipment quantity, V are dispensed for the warehouse VMIxFor manufacturer's production line line side maximum
Quantity in stock, BijFor material j assembly line line side safety inventory,For supplier SkN-thk(t) time of secondary dispatching.
Step 2: establishing minimum material allocation total cost model, the minimum material allocation totle drilling cost mould according to above-mentioned parameter
Type includes material allocation totle drilling cost majorized function and constraint condition corresponding with the majorized function.
Wherein, material allocation totle drilling cost majorized function are as follows:
Wherein, the meaning of μ (u, v) are as follows:
xkjMeaning are as follows:
To be rounded symbol, indicate to round up.
A kind of acquisition process of the material allocation totle drilling cost majorized function is given below:
Firstly, based on manufacturer's productive temp, supplier's productive temp and supplier by material transport to the warehouse VMI when
Between between relationship, calculate the warehouse supplier VMI material in a production schedule cycle t optimal inventory
Then in a production schedule cycle time t, supplier VMI warehouse inventory cost are as follows:
In one production schedule cycle time t, VMI warehouse materials distribution cost are as follows:
In one production schedule cycle time t, manufacturer's assembly line line side stock material cost are as follows:
Then, objective function is obtained according to above-mentioned each formula, i.e., material allocation totle drilling cost majorized function above.
V in objective functionk(t) it is decision variable, is dynamic change, changes, beat with manufacturer's productive temp
Difference, product yield is different in a production schedule cycle t, and material requirement amount is different, then material allocation batch vk(t) different.
Constraint condition includes:
1) dispatching batch is less than or equal to transporting equipment maximum loading, corresponding criterion expression formula are as follows:
vk(t)≤nvvmax
2) warehouse VMI dispatching interval be more than or equal to transporting equipment from the warehouse VMI to manufacturer the turnaround time and dress
It unloads the sum of time, corresponding criterion expression formula are as follows:
3) difference that batch is less than or equal to manufacturer's production line line side maximum inventory and safety inventory is dispensed every time, and big
In or equal in each distribution time material consumption, corresponding criterion expression formula are as follows:
4) n beforek-1Batch materials dispensed amounts meet n-thkProduction requirement before batch materials arrival, meanwhile, when n-thk-1Criticize object
Expect that line side material total amount is less than or equal to maximum inventory, corresponding criterion expression formula when reaching are as follows:
By material allocation totle drilling cost majorized function it is found that material allocation totle drilling cost majorized function C (vkIt (t)) is about dispatching
Batch vk(t) function of a single variable.The dispatching batch of material is for nonnegative integer in a practical situation, it is assumed that vk(t) it can continuously take
Value and C (vk(t)) it can continuously be led in domain, to majorized function C (vk(t)) first derivative and second dervative are asked respectively, such as
Under:
From the foregoing, it will be observed that C (vk(t)) it is continuous guidable concave function, enables:Minimum material allocation can be obtained
Optimal dispatching batch under totle drilling costAccording to the actual situation it is found thatIt need to be integer.It can also accessing optimal
Dispense the frequencyIt is as follows:
Therefore, the dispatching batch and the dispatching frequency acquired is the optimal value under unconfined condition, it is contemplated that physical constraint
Condition need to meet the above-mentioned each constraint condition provided, and then determine the optimal dispatching batch for meeting totle drilling cost minimal condition
With the optimal dispatching frequency
According to obtained optimal dispatching batchWith the optimal dispatching frequencyCarry out material allocation, it will be able to guarantee
The dispatching punctuality of material, also can utmostly reduce distribution cost.
Therefore, it is based on mixed-model assembly type manufacturing enterprise Assembling Production feature, from reduction supplier and the supply of manufacturer's two-stage
Chain inventory visual angle, for assembly shop supplier, mixed-model assembly type manufacturing enterprise direct-furnish line side material allocation problem, it is punctual to integrate
Change theoretical dispatching, Vendor Managed Inventory theory and optimal method theories and methods, proposes provided by the invention based on JIT-
Supplier's direct-furnish line side material allocation method of VMI.This method can effectively solve the problem that mixed-model assembly type manufacturing enterprise material of the same race
Have that multi-provider is supplied and the supplier's direct-furnish line side material allocation Panel management deficiency cooperateed with manufacturer production plan sequence is asked
Topic, reaches supplier's material allocation lean target, and specific implementation effect is as follows: (1) establish it is centered on manufacturer's demand,
Towards station, manufacturer and supplier co-operating direct-furnish line side material allocation mode and strategy realize essence for supplier
Benefitization dispatching lays the foundation;(2) from supply chain system visual angle, to minimize supplier VMI warehouse inventory cost, the storehouse VMI
Library material allocation cost and manufacturer's line side inventory cost summation are optimization aim, solve supplier and manufacturer's benefit is contrary to rhetorical question
Topic guarantees supply chain total optimization rather than local optimum;(3) determining cooperate with manufacturer production plan sequence and dynamically
The best material allocation phase amount in the adaptable warehouse supplier VMI of demand and quantity in stock standard, realize supplier's material allocation
The target mutually cooperateed with is produced with manufacturer, ensure that supplier's material allocation punctuality and lean, it is therefore prevented that because of supplier
Dispense the generation for causing production line to stop line phenomenon not in time.
Specific embodiment is presented above, but the present invention is not limited to described embodiment.Base of the invention
This thinking is above-mentioned basic scheme, and for those of ordinary skill in the art, various changes are designed in introduction according to the present invention
The model of shape, formula, parameter do not need to spend creative work.It is right without departing from the principles and spirit of the present invention
The change, modification, replacement and modification that embodiment carries out are still fallen in protection scope of the present invention.
Claims (4)
1. a kind of supplier's direct-furnish line side material allocation method based on JIT-VMI, which comprises the following steps:
(1) acquisition supplier's material production beat, manufacturer's assembly line productive temp, production schedule cycle time, supplier incite somebody to action
Material is transported to the warehouse VMI time, the lay day on the online side of material, VMI warehouse materials safety inventory coefficient, a production meter
It draws in cycle time, output, the production single product of corresponding product need the quantity of material, supplier to supply corresponding material
Supply ratio, Board Lot unit time VMI material storage expense, the warehouse VMI dispense material fixed cost coefficient, a VMI
Warehouse dispenses unit distance cost coefficient, the warehouse VMI away from manufacturer's distance, Board Lot material handling cost coefficient and unit
Unit of quantity's timeline side material stores cost coefficient;
(2) minimum material allocation total cost model is established;
(3) minimum material allocation total cost model is handled, obtains the optimal dispatching batch under minimum material allocation totle drilling cost
Amount and the optimal dispatching frequency.
2. supplier's direct-furnish line side material allocation method according to claim 1 based on JIT-VMI, which is characterized in that
It is described minimum material allocation total cost model include material allocation totle drilling cost majorized function and with the majorized function pair
The constraint condition answered, the constraint condition include:
1) dispatching batch is less than or equal to transporting equipment maximum loading;
2) warehouse VMI dispatching interval be more than or equal to transporting equipment from the warehouse VMI to manufacturer the turnaround time and handling when
The sum of between;
3) every time dispatching batch be less than or equal to manufacturer's production line line side maximum inventory and safety inventory difference, and be greater than or
Person is equal to the consumption of material in each distribution time;
4) n beforek-1Batch materials dispensed amounts meet n-thkProduction requirement before batch materials arrival, meanwhile, when n-thk-1Batch materials reach
When, line side material total amount is less than or equal to maximum inventory.
3. supplier's direct-furnish line side material allocation method according to claim 2 based on JIT-VMI, which is characterized in that
Material allocation totle drilling cost majorized function are as follows:
Constraint condition 1) corresponding criterion expression formula are as follows:
vk(t)≤nvvmax
Constraint condition 2) corresponding criterion expression formula are as follows:
Constraint condition 3) corresponding criterion expression formula are as follows:
Constraint condition 4) corresponding criterion expression formula are as follows:
Wherein, the meaning of μ (u, v) are as follows:
xkjMeaning are as follows:
For rounding symbol, indicate to round up, SkFor supplier's index, k=1, when 2,3 ..., K, t are production schedule cycle
Between, tjFor supplier SkMaterial production beat, tzFor manufacturer's assembly line productive temp, tvFor supplier SkMaterial is transported to
The warehouse VMI time, thFor the lay day on the online side of material, tsFor supplier SkFrom the warehouse VMI to manufacturer, production line side is dispensed
Time, β are VMI warehouse materials safety inventory coefficient, and n is that manufacturer produces product category, and i=1,2,3 ..., n, m are product
Corresponding material type, j=1,2,3 ..., m, qiIt (t) is the output of product i in a production schedule cycle time, aijFor
Production single product i needs the quantity of material j, αjkFor supplier SkSupply the supply ratio of material j, cvFor unit unit of quantity
Time VMI material stores expense, csA material fixed cost coefficient, c are dispensed for the warehouse VMIdFor the warehouse VMI dispense unit away from
From cost coefficient, dkIt is the warehouse VMI away from manufacturer's distance, czFor unit amount of material shipping and delivery cost coefficient, cxFor unit quantity list
Position timeline side material stores cost coefficient, vkIt (t) is the warehouse VMI material dispensing batch, vmaxMost for the warehouse VMI transporting equipment
Big useful load, nk(t) in a production schedule cycle time, the warehouse VMI dispenses the frequency, nvTransporting equipment is dispensed for the warehouse VMI
Quantity, VxFor manufacturer's production line line side maximum inventory, BijLine side safety inventory for material j in assembly line, HnkIt (t) is confession
Answer quotient SkN-thk(t) time of secondary dispatching.
4. supplier's direct-furnish line side material allocation method according to claim 3 based on JIT-VMI, which is characterized in that
Optimal dispatching batchAre as follows:
The optimal dispatching frequencyAre as follows:
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