CN114282872A - Jewelry store inventory management method, device, equipment and storage medium - Google Patents
Jewelry store inventory management method, device, equipment and storage medium Download PDFInfo
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Abstract
本发明公开了一种珠宝店库存管理方法、装置、计算机设备及存储介质。该珠宝店库存管理方法包括:获取珠宝店商品的历史销售数据;根据所述历史销售数据在不限制库存量的条件下预测无条件预测销量;根据所述无条件预测销量建立在不同库存量的条件下的条件期望销量与所述库存量之间的第一关联关系;根据所述第一关联关系和所述库存量建立所述库存量、所述条件期望销量与预测利润的第二关联关系;根据所述第二关联关系确定最优库存量;根据所述最优库存量确定最优采购量。通过上述方式,本发明能够大大提高商店的利润,同时采用全量化管理,保障了科学性和可迭代性。
The invention discloses a jewelry store inventory management method, device, computer equipment and storage medium. The jewelry store inventory management method includes: obtaining historical sales data of commodities in the jewelry store; predicting unconditionally predicted sales volume based on the historical sales data without limiting the inventory; establishing the unconditional predicted sales based on different inventory conditions The first association relationship between the conditional expected sales volume and the inventory amount; the second association relationship between the inventory amount, the conditional expected sales volume and the predicted profit is established according to the first association relationship and the inventory amount; according to The second association relationship determines the optimal stock quantity; and the optimal purchase quantity is determined according to the optimal stock quantity. Through the above method, the present invention can greatly improve the profit of the store, and at the same time adopts full quantitative management, ensuring scientificity and iterability.
Description
技术领域technical field
本发明涉及商品库存管理技术领域,特别是涉及一种珠宝店库存管理方法、装置、设备及存储介质。The present invention relates to the technical field of commodity inventory management, in particular to a method, device, equipment and storage medium for inventory management of a jewelry store.
背景技术Background technique
珠宝行业货品体积小,单件价值高,标准化程度低,供应链端的sku(StockKeeping Uni,库存量单位)数量超千万,远高于其他行业,目前成熟的库存管理模型在珠宝行业难以产生效果。从采购端看,以经济批量订货模型为例,珠宝采购的资金占用成本巨大,相比之下采购执行的固定人工成本、物流成本等在总成本中所占比重不到1%,导致这一模型基本不产生收益。从销售端看,由于sku众多,大部分sku只有几件甚至一件,造成很多量化模型难以进行参数估计。The jewelry industry has small size, high value per piece, and low degree of standardization. The number of SKUs (StockKeeping Uni, stock keeping unit) at the supply chain end exceeds 10 million, which is much higher than other industries. The current mature inventory management model is difficult to produce in the jewelry industry. . From the perspective of procurement, taking the economic bulk ordering model as an example, the capital occupation cost of jewelry procurement is huge. In contrast, the fixed labor cost and logistics cost of procurement execution account for less than 1% of the total cost. The model yields basically no revenue. From the perspective of the sales side, due to the large number of SKUs, most of the SKUs have only a few or even one, which makes it difficult for many quantitative models to estimate parameters.
目前珠宝零售店库存管理主要是以库存周转为核心,通过过去一年的历史数据结合对未来市场发展趋势的认知来管理库存。这种方式存在两大缺陷:1、管理目标设置错误,误将库存周转天数作为库存管理的目标。例如一家典型的珠宝零售店的库存分布有5大品类,800个款式,2000件货品,以5大品类各自的平均库存周转天数为管理目标,其问题在于一是模型过度简化,未能考虑到同一品类内部不同款式的货品具有完全不同的成本结构和销售毛利率,比如说某些古法黄金款式销售毛利率远大于其他款式。二是以平均投入产出代替了边际投入产出作为决策依据,导致决策误入歧途。2、管理科学性不足,停留在半定量阶段,简单地通过统计观察各货品的历史表现,结合对未来市场趋势的判断下达管理目标,缺乏全量化决策管理手段。At present, the inventory management of jewelry retail stores is mainly based on inventory turnover, and the inventory is managed through the historical data of the past year combined with the understanding of the future market development trend. There are two major defects in this method: 1. The management target is set incorrectly, and the inventory turnover days are mistakenly used as the target of inventory management. For example, a typical jewelry retail store has 5 categories, 800 styles, and 2,000 items of inventory. The average inventory turnover days of each of the 5 categories is the management goal. The problem is that the model is oversimplified and fails to take into account Different styles of goods within the same category have completely different cost structures and gross profit margins. For example, some ancient gold styles have much higher gross profit margins than others. Second, the average input-output replaces the marginal input-output as the basis for decision-making, which leads to misguided decision-making. 2. The management is not scientific enough, staying in the semi-quantitative stage, simply observing the historical performance of each product through statistics, and issuing management goals based on the judgment of future market trends, lacking fully quantitative decision-making management methods.
基于此,本领域亟需一种新的珠宝店库存管理方法、装置、设备及存储介质来解决背景技术存在的技术问题。Based on this, there is an urgent need in the art for a new method, device, device and storage medium for inventory management of jewelry stores to solve the technical problems existing in the background art.
发明内容SUMMARY OF THE INVENTION
为解决上述技术问题,本发明采用的一个技术方案是:提供一种珠宝店库存管理方法,包括:In order to solve the above-mentioned technical problems, a technical solution adopted in the present invention is: a method for managing inventory of jewelry stores is provided, including:
获取珠宝店商品的历史销售数据;Get historical sales data of jewelry store merchandise;
根据所述历史销售数据在不限制库存量的条件下预测无条件预测销量;Predict unconditionally forecast sales according to the historical sales data without limiting the inventory;
根据所述无条件预测销量建立在不同库存量的条件下的条件期望销量与所述库存量之间的第一关联关系;According to the unconditional predicted sales volume, a first association relationship between the conditional expected sales volume and the inventory volume under the condition of different inventory quantities is established;
根据所述第一关联关系和所述库存量建立所述库存量、所述条件期望销量与预测利润的第二关联关系;establishing a second association relationship between the inventory amount, the conditional expected sales volume and the predicted profit according to the first association relationship and the inventory amount;
根据所述第二关联关系确定最优库存量;Determine the optimal inventory quantity according to the second association relationship;
根据所述最优库存量确定最优采购量。The optimal purchase quantity is determined according to the optimal inventory quantity.
优选地,所述根据所述历史销售数据在不限制库存量的条件下预测无条件预测销量包括:Preferably, the unconditional prediction of sales volume based on the historical sales data without limiting the inventory includes:
根据所述历史销售数据建立季节时间序列模型;establishing a seasonal time series model according to the historical sales data;
根据所述历史销售数据对所述季节时间序列模型进行拟合,得到最优季节时间序列模型;Fitting the seasonal time series model according to the historical sales data to obtain an optimal seasonal time series model;
基于所述最优季节时间序列模型在不限定库存量的条件下预测所述无条件预测销量。The unconditional predicted sales volume is predicted based on the optimal seasonal time series model under the condition that the inventory quantity is not limited.
优选地,根据所述历史销售数据对所述季节时间序列模型进行拟合,得到最优季节时间序列模型包括:Preferably, fitting the seasonal time series model according to the historical sales data to obtain the optimal seasonal time series model includes:
基于条件最大似然算法根据所述历史销售数据对所述季节时间序列模型进行拟合,获取参数集合;Fitting the seasonal time series model according to the historical sales data based on a conditional maximum likelihood algorithm to obtain a parameter set;
基于赤池信息准则根据所述参数集合计算得到最优参数;The optimal parameter is obtained by calculating according to the parameter set based on the Akaike information criterion;
将所述最优参数对应的所述季节时间序列模型作为所述最优季节时间序列模型。The seasonal time series model corresponding to the optimal parameter is used as the optimal seasonal time series model.
优选地,所述季节时间序列模型的时间序列周期为年周期,变化周期为月度序列。Preferably, the time series period of the seasonal time series model is an annual period, and the change period is a monthly series.
优选地,根据所述无条件预测销量建立在不同库存量的条件下的条件期望销量与所述库存量之间的第一关联关系包括:Preferably, the first association relationship between the conditional expected sales volume and the inventory volume established under the condition of different inventory quantities according to the unconditional predicted sales volume includes:
基于泊松分布根据所述无条件预测销量建立在不同库存量的条件下的条件期望销量与所述库存量之间的第一关联关系。Based on the Poisson distribution, a first correlation relationship between the conditional expected sales volume and the inventory volume is established according to the unconditional predicted sales volume under the condition of different inventory volumes.
优选地,所述根据所述第二关联关系确定最优库存量包括:Preferably, the determining the optimal inventory quantity according to the second association relationship includes:
基于数学规划的方法根据所述第二关联关系获取所述预测利润最大值时对应的所述库存量作为所述最优库存量。The method based on mathematical programming obtains the inventory corresponding to the maximum predicted profit according to the second association relationship as the optimal inventory.
优选地,所述根据所述最优库存量确定最优采购量包括:Preferably, the determining the optimal purchase quantity according to the optimal inventory quantity includes:
获取采购提前期、现有库存量;Obtain purchase lead time, on-hand inventory;
基于所述采购提前期、所述现有库存量根据所述最优库存量计算所述最优采购量。The optimal purchase quantity is calculated according to the optimal inventory quantity based on the purchase lead time, the on-hand inventory quantity.
为解决上述技术问题,本发明采用的另一个技术方案是:提供一种珠宝店库存管理装置,包括:In order to solve the above-mentioned technical problems, another technical solution adopted by the present invention is to provide a jewelry store inventory management device, including:
历史数据获取模块,用于获取珠宝店各款商品的历史销售数据;The historical data acquisition module is used to acquire the historical sales data of various commodities in the jewelry store;
无条件预测销量预测模块,用于根据所述历史销售数据在不限制库存量的条件下预测无条件预测销量;The unconditional forecast sales forecast module is used to predict the unconditional forecast sales according to the historical sales data without limiting the inventory;
条件期望销量计算模块,用于根据所述无条件预测销量建立在不同库存量的条件下的条件期望销量与所述库存量之间的第一关联关系;a conditional expected sales volume calculation module, configured to establish a first association relationship between the conditional expected sales volume and the inventory volume under the condition of different inventory quantities according to the unconditional predicted sales volume;
预测利润计算模块,用于根据所述第一关联关系和所述库存量建立所述库存量、所述条件期望销量与预测利润的第二关联关系;a predicted profit calculation module, configured to establish a second association relationship between the inventory amount, the conditional expected sales volume and the predicted profit according to the first association relationship and the inventory amount;
最优库存计算模块,用于根据所述第二关联关系确定最优库存量;an optimal inventory calculation module, configured to determine the optimal inventory according to the second association relationship;
决策模块,用于根据所述最优库存量确定最优采购量。A decision-making module, configured to determine the optimal purchase quantity according to the optimal inventory quantity.
为解决上述技术问题,本发明采用的再一个技术方案是:一种计算机设备,包括:存储器、处理器及存储在存储器上并可在处理器上运行的计算机程序,所述处理器执行所述计算机程序时实现如上所述的珠宝店库存管理方法。In order to solve the above technical problem, another technical solution adopted by the present invention is: a computer device, comprising: a memory, a processor and a computer program stored in the memory and running on the processor, the processor executes the The computer program implements the jewelry store inventory management method as described above.
为解决上述技术问题,本发明采用的再一个技术方案是:提供一种计算机存储介质,其上存储有程序文件,所述程序文件被处理器执行时实现如上所述的珠宝店库存管理方法。In order to solve the above-mentioned technical problem, another technical solution adopted by the present invention is to provide a computer storage medium on which program files are stored, and when the program files are executed by a processor, the above-mentioned jewelry store inventory management method is implemented.
本发明的有益效果是:本发明的珠宝店库存管理方法,先通过历史销售数据预测无条件预测销量,再获取库存量、条件期望销量与预测利润之间的关系式,直接得出预测利润最大时对应的库存量。本发明的方法将库存管理目标直接设定为利润最大化,彻底避免了因目标设置不当(如周转)导致越加强管理,利润可能反而越低的现象,大大提高了商店的利润。同时采用全量化管理,杜绝经验主义,保障了科学性和可迭代性。The beneficial effects of the present invention are as follows: in the jewelry store inventory management method of the present invention, the unconditional predicted sales volume is first predicted by historical sales data, and then the relationship between the inventory amount, the conditional expected sales volume and the predicted profit is obtained, and the time when the predicted profit is the largest is directly obtained. corresponding inventory. The method of the invention directly sets the inventory management target as profit maximization, completely avoids the phenomenon that the more management is strengthened due to improper target setting (such as turnover), the profit may be lower, and the profit of the store is greatly improved. At the same time, full quantitative management is adopted, empiricism is eliminated, and scientificity and iterability are guaranteed.
附图说明Description of drawings
图1是本发明实施例的珠宝店库存管理方法的流程示意图;1 is a schematic flowchart of a jewelry store inventory management method according to an embodiment of the present invention;
图2是图1步骤S102的流程示意图;Fig. 2 is a schematic flowchart of step S102 in Fig. 1;
图3是图2步骤S202的流程示意图;FIG. 3 is a schematic flowchart of step S202 in FIG. 2;
图4是本发明实施例的珠宝店库存管理装置的结构示意图;4 is a schematic structural diagram of a jewelry store inventory management device according to an embodiment of the present invention;
图5是本发明实施例的计算机设备的结构示意图;5 is a schematic structural diagram of a computer device according to an embodiment of the present invention;
图6是是本发明实施例的计算机存储介质的结构示意图;6 is a schematic structural diagram of a computer storage medium according to an embodiment of the present invention;
图7是采用本发明实施例的珠宝店库存管理方法的销售指数对比图;Fig. 7 is the sales index comparison diagram that adopts the jewelry store inventory management method of the embodiment of the present invention;
图8是采用本发明实施例的珠宝店库存管理方法的资产收益率指标的对比图。FIG. 8 is a comparison diagram of the return on assets index of the inventory management method of the jewelry store according to the embodiment of the present invention.
具体实施方式Detailed ways
下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅是本发明的一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, but not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.
本发明中的术语“包括”和“具有”以及它们任何变形,意图在于覆盖不排他的包含。例如包含了一系列步骤或单元的过程、方法、系统、产品或设备没有限定于已列出的步骤或单元,而是可选地还包括没有列出的步骤或单元,或可选地还包括对于这些过程、方法、产品或设备固有的其它步骤或单元。The terms "comprising" and "having" and any variations thereof in the present invention are intended to cover non-exclusive inclusions. For example, a process, method, system, product or device comprising a series of steps or units is not limited to the listed steps or units, but optionally also includes unlisted steps or units, or optionally also includes For other steps or units inherent to these processes, methods, products or devices.
在本文中提及“实施例”意味着,结合实施例描述的特定特征、结构或特性可以包含在本发明的至少一个实施例中。在说明书中的各个位置出现该短语并不一定均是指相同的实施例,也不是与其它实施例互斥的独立的或备选的实施例。本领域技术人员显式地和隐式地理解的是,本文所描述的实施例可以与其它实施例相结合。Reference herein to an "embodiment" means that a particular feature, structure, or characteristic described in connection with the embodiment can be included in at least one embodiment of the present invention. The appearances of the phrase in various places in the specification are not necessarily all referring to the same embodiment, nor a separate or alternative embodiment that is mutually exclusive of other embodiments. It is explicitly and implicitly understood by those skilled in the art that the embodiments described herein may be combined with other embodiments.
图1是本发明实施例的珠宝店库存管理方法的流程示意图。需注意的是,若有实质上相同的结果,本发明的方法并不以图1所示的流程顺序为限。如图1所示,该方法包括步骤:FIG. 1 is a schematic flowchart of a method for managing inventory in a jewelry store according to an embodiment of the present invention. It should be noted that, if there is substantially the same result, the method of the present invention is not limited to the sequence of the processes shown in FIG. 1 . As shown in Figure 1, the method includes the steps:
步骤S101:获取珠宝店商品的历史销售数据。Step S101: Obtain historical sales data of commodities in a jewelry store.
在步骤S101中,获取珠宝店某款商品对应的历史销售数据,以下所述的都是基于单一某款商品的预测。在本实施例中,获取的历史销售数据为月销量。In step S101, the historical sales data corresponding to a certain commodity in the jewelry store is obtained, and the following descriptions are all based on the prediction of a single commodity. In this embodiment, the acquired historical sales data is monthly sales.
步骤S102:根据历史销售数据在不限制库存量的条件下预测无条件预测销量。Step S102: Predict unconditionally predicted sales volume based on historical sales data without limiting inventory.
进一步地,如图2所示,步骤S102包括以下步骤:Further, as shown in Figure 2, step S102 includes the following steps:
步骤S201:根据历史销售数据建立季节时间序列模型。Step S201: Establish a seasonal time series model according to historical sales data.
在步骤S201中,由于珠宝的历史销售数据具有季节性,即具有旺季月份销量高、淡季月份销量低的特点,在此选择季节时间序列模型来预测未来的销量,具体为SARIMA(Seasonal Autoregressive Integrated Moving Average)模型。需要理解的,本实施例的不限定库存量的条件,指的是忽略库存条件之下的销量预测,即假设库存量无穷大。In step S201, since the historical sales data of jewelry is seasonal, that is, it has the characteristics of high sales in peak season months and low sales in off-season months, a seasonal time series model is selected to predict future sales, specifically SARIMA (Seasonal Autoregressive Integrated Moving Average) model. It should be understood that the condition of not limiting the stock quantity in this embodiment refers to ignoring the sales forecast under the stock condition, that is, assuming that the stock quantity is infinite.
本实施例的SARIMA模型形式为SARIMA(p,d,q)(P,D,Q)s,其中(p,d,q)为非季节性部分,(P,D,Q)s为季节性部分,模型中各参数意义解释如下:The SARIMA model form of this embodiment is SARIMA(p,d,q)(P,D,Q) s , where (p,d,q) is the non-seasonal part, and (P,D,Q) s is the seasonal part Section, the meaning of each parameter in the model is explained as follows:
p:非季节性部分的自回归系数个数;p: the number of autoregressive coefficients in the non-seasonal part;
d:非季节性部分的差分次数;d: the number of differences in the non-seasonal part;
q:非季节性部分的移动平均系数个数;q: the number of moving average coefficients of the non-seasonal part;
P:季节性部分的自回归系数个数;P: the number of autoregressive coefficients in the seasonal part;
D:季节性部分的差分次数;D: The number of differences in the seasonal part;
Q:季节性部分的移动平均系数个数;Q: The number of moving average coefficients in the seasonal part;
s:季节时间序列的变化周期,在本实施例中,由于预测的销量为月销量,时间序列周期为年周期,变化周期为月度序列。所以,s=12,表示12个月为一个序列周期。s: the change period of the seasonal time series. In this embodiment, since the predicted sales volume is monthly sales volume, the time series period is an annual period, and the change period is a monthly series. Therefore, s=12, which means that 12 months are a sequence period.
用SARIMA模型对商品的月销量序列{yt}进行建模如下:Use the SARIMA model to model the monthly sales sequence {y t } of the product as follows:
Φp(L)AP(L)(1-L)d(1-Ls)Dyt=Θq(L)BQ(L)εt……(1)。Φ p (L)A P (L)(1-L) d (1-L s ) D y t =Θ q (L)B Q (L)ε t ......(1).
其中,yt为第t月的月销量,L为yt的非季节滞后算子,有Lyt=yt-1,Lsyt=yt-s;εt为白噪声过程,令为εt的方差,假设有n个月的历史销售数据,则 Among them, y t is the monthly sales volume of the t month, L is the non-seasonal lag operator of y t , there are Ly t =y t-1 , L s y t =y ts ; ε t is the white noise process, let is the variance of ε t , assuming there are n months of historical sales data, then
Φp(L)和AP(L)分别为非季节与季节自回归算子;Θq(L)和BQ(L)分别为非季节与季节移动平均算子,计算公式如下:Φ p (L) and A P (L) are non-seasonal and seasonal autoregressive operators, respectively; Θ q (L) and B Q (L) are non-seasonal and seasonal moving average operators, respectively, and the calculation formulas are as follows:
Φp(L)=1-Φ1L-Φ2L2…-ΦpLp;Φ p (L)=1-Φ 1 L-Φ 2 L 2 ...-Φ p L p ;
AP(L)=1-A1L-A2L2…-APLP;A P (L)=1-A 1 LA 2 L 2 ...-A P L P ;
Θq(L)=1+Θ1L+Θ2L2…+ΘqLq;Θ q (L)=1+Θ 1 L+Θ 2 L 2 ...+Θ q L q ;
BQ(L)=1+B1L+B2L2…+BQLQ。B Q (L)=1+B 1 L+B 2 L 2 …+B Q L Q .
步骤S202:根据历史销售数据对季节时间序列模型进行拟合,得到最优季节时间序列模型。Step S202: Fitting a seasonal time series model according to historical sales data to obtain an optimal seasonal time series model.
进一步地,如图3所示,步骤S202包括以下步骤:Further, as shown in Figure 3, step S202 includes the following steps:
步骤S301:基于条件最大似然算法根据历史销售数据对季节时间序列模型进行拟合,获取参数集合。Step S301: Fit the seasonal time series model according to the historical sales data based on the conditional maximum likelihood algorithm, and obtain a parameter set.
在步骤S301中,将步骤S201建立的SARIMA模型的参数简写为:In step S301, the parameters of the SARIMA model established in step S201 are abbreviated as:
ξ=(p,d,q,P,D,Q,s);ξ=(p,d,q,P,D,Q,s);
ψ(ξ)=(Φ1,Φ2…Φp,A1,A2…AP,Θ1,Θ2…Θq,B1,B2…BQ)。ψ(ξ)=(Φ 1 ,Φ 2 ...Φ p ,A 1 ,A 2 ...A P ,Θ 1 ,Θ 2 ...Θ q ,B 1 ,B 2 ...B Q ).
根据历史销售数据对建立的SARIMA模型进行拟合。具体地,采用条件最大似然算法(Conditional Maximum Likelihood)对SARIMA模型进行拟合。Fit the established SARIMA model according to historical sales data. Specifically, the conditional maximum likelihood algorithm (Conditional Maximum Likelihood) was used to fit the SARIMA model.
由步骤S201的(1)式变换,有:Transformed by equation (1) in step S201, there are:
而则似然函数 and then the likelihood function
对某个ξ,记以e为底的对数似然函数 得到ψmax(ξ)和使得对于任意ψ(ξ),有通过上述步骤得出一定数量的参数集合。一般来说,参数个数增加,会使得变大。但参数个数过多,会导致过拟合现象,使得模型的预测未来的能力降低,所以需要对参数个数和最大似然值取得一个折中。For a certain ξ, write the log-likelihood function of base e get ψ max (ξ) and such that for any ψ(ξ), Have A certain number of parameter sets are obtained through the above steps. Generally speaking, increasing the number of parameters will make get bigger. However, if the number of parameters is too large, it will lead to over-fitting and reduce the ability of the model to predict the future. Therefore, it is necessary to obtain a compromise between the number of parameters and the maximum likelihood value.
步骤S302:基于赤池信息准则根据参数集合计算得到最优参数。Step S302: Calculate and obtain the optimal parameter according to the parameter set based on the Akaike information criterion.
在步骤S302中,采用赤池信息准则(AIC准则;Akaike information criterion)来实现步骤302存在的目的。其中AIC定义为:In step S302 , an Akaike information criterion (AIC criterion; Akaike information criterion) is used to achieve the purpose of step 302 . where AIC is defined as:
对于任意ξ,计算得到并计算得到相应的AICξ。最后找出使得AICξ最小的ξmin。即对于任意ξ,AICξmin≤AICξ。For any ξ, the calculation yields And calculate the corresponding AIC ξ . Finally find the ξ min that minimizes the AIC ξ . That is, for any ξ, AIC ξmin ≤ AIC ξ .
在实践中,ξ通常是有范围的,比如:In practice, ξ usually has a range, such as:
0≤p≤3,1≤d≤3,0≤q≤3,0≤P≤2,0≤D≤1,0≤Q≤2。加了范围限制以后,就大大减少了ξmin的计算量。0≤p≤3, 1≤d≤3, 0≤q≤3, 0≤P≤2, 0≤D≤1, 0≤Q≤2. After adding the range limit, the calculation amount of ξ min is greatly reduced.
最后根据ξmin,ψmax(ξmin),得到了SARIMA模型的最优参数,为了表示方便,依然记为:Finally, according to ξ min ,ψ max (ξ min ), The optimal parameters of the SARIMA model are obtained. For convenience of expression, they are still recorded as:
p,d,q,P,D,Q,s,Φ1,Φ2…Φp,A1,A2…AP,Θ1,Θ2…Θq,B1,B2…BQ。 p ,d, q ,P,D, Q , s ,Φ1, Φ2 … Φp ,A1,A2… A P , Θ1 , Θ2 … Θq ,B1,B2… BQ .
步骤S303:将最优参数对应的季节时间序列模型作为最优季节时间序列模型。Step S303: Use the seasonal time series model corresponding to the optimal parameter as the optimal seasonal time series model.
在步骤S303中,将得到的最优参数代入(1)式中,即可得到最优SARIMA模型。In step S303, the obtained optimal parameters are substituted into the formula (1) to obtain the optimal SARIMA model.
步骤S203:基于最优季节时间序列模型在不限定库存量的条件下预测无条件预测销量。Step S203: Predict unconditionally predicted sales volume based on the optimal seasonal time series model under the condition that the inventory quantity is not limited.
在步骤S203中,根据上述步骤得出的最优SARIMA模型,即可预测在未来一段时间内的无条件预测销量,由于本实施例以月为变化周期,所以预测的是未来的月销量。需要理解的,本实施例的无条件预测销量,指的是忽略库存条件之下的销量预测,即假设库存量无穷大。In step S203, according to the optimal SARIMA model obtained in the above steps, the unconditional predicted sales volume in the future can be predicted. Since the month is used as the change period in this embodiment, the future monthly sales volume is predicted. It should be understood that the unconditional sales forecast in this embodiment refers to the sales forecast under the condition of ignoring the inventory, that is, it is assumed that the inventory is infinite.
具体地,计算的步骤如下:Specifically, the calculation steps are as follows:
首先,令wt=(1-L)d(1-Ls)Dyt,则由(1)式有:First, let w t =(1-L) d (1-L s ) D y t , then from equation (1) we have:
Φp(L)AP(L)wt=Θq(L)BQ(L)εt。Φ p (L)A P (L)w t =Θ q (L)B Q (L)ε t .
令ρ=Max(p,P),η=Max(q,Q),则有:Let ρ=Max(p,P), η=Max(q,Q), then we have:
Φp(L)AP(L)=1-α1L-α2L…-αρL和Θq(L)BQ(L)=1+β1L+β2L…+βηL。Φ p (L)A P (L)=1-α 1 L-α 2 L…-α ρ L and Θ q (L)B Q (L)=1+β 1 L+β 2 L…+β η L.
代入(1)式有:Substitute into formula (1):
(1-α1L-α2L…-αρL)wt=(1+β1L+β2L…+βηL)εt。(1-α 1 L-α 2 L...-α ρ L)w t =(1+β 1 L+β 2 L...+β η L)ε t .
整理得: Arranged:
则下一个月的预测为: Then the forecast for the next month is:
由wt=(1-L)d(1-Ls)Dyt=(1-γ1L1-γ2L2…-γd+sDLd+sD)yt=yt-γ1yt-1-γ2yt-2…-γd+sDyt-d-sD得:From w t =(1-L) d (1-L s ) D y t =(1-γ 1 L 1 -γ 2 L 2 ... -γ d+sD L d+sD )y t =y t -γ 1 y t-1 -γ 2 y t-2 …-γ d+sD y td-sD get :
下一个月的无条件预测销量:yt(1)=γ1yt+γ2yt-1…+γd+sDyt-d-sD+1+wt(1)。Unconditional forecast sales for the next month: y t (1) = γ 1 y t + γ 2 y t-1 …+γ d+sD y td-sD+1 +w t (1).
以此类推,下m个月的预测为: 其中当m-i>0,εt+m-i=0;当m-i≤0,wt(m-i)=wt+m-i。By analogy, the forecast for the next m months is: Wherein, when mi>0, ε t+mi =0; when mi≤0, w t (mi)=w t+mi .
下m个月的无条件预测销量:yt(m)=γ1yt(m-1)+γ2yt(m-2)…+γd+sDyt(m-d-sD+1)+wt(m)。其中当x≤0时,yt(x)=yt+x。Unconditional forecast sales for the next m months: y t (m)=γ 1 y t (m-1)+γ 2 y t (m-2)…+γ d+sD y t (md-sD+1)+ w t (m). Wherein when x≤0, y t (x)=y t+x .
由上述的计算过程即可计算未来m个月的无条件预测销量。The unconditional forecast sales volume of m months in the future can be calculated by the above calculation process.
步骤S103:根据无条件预测销量建立在不同库存量的条件下的条件期望销量与库存量之间的第一关联关系。Step S103: Establish a first association relationship between the conditional expected sales volume and the inventory volume under the condition of different inventory volumes according to the unconditional predicted sales volume.
在步骤S103中,基于泊松分布根据无条件预测销量建立在不同库存量的条件下的条件期望销量与库存量之间的第一关联关系。In step S103, based on the Poisson distribution, a first association relationship between the conditional expected sales volume and the inventory volume under the condition of different inventory volumes is established according to the unconditional predicted sales volume.
具体地,在前述的步骤中,获得了未来m个月无条件预测销量。但是未来的销量是一个随机变量,一般假设为泊松分布Poission(y,λ),其中y为销量,λ为销售期望(均值)。不限制库存条件下销售预测求得的yt(m)可以视为泊松分布的均值和方差,管理库存的目标是在销量分布为Poission(y,yt(m))的假设下,使得利润最大化。Specifically, in the aforementioned steps, the unconditional forecast sales volume in the next m months is obtained. But the future sales volume is a random variable, generally assumed to be Poisson distribution Poission(y,λ), where y is the sales volume and λ is the sales expectation (mean). The y t (m) obtained from the sales forecast under the condition of unrestricted inventory can be regarded as the mean and variance of the Poisson distribution. The goal of managing inventory is to make Profit maximization.
由于现实中,库存量不可能是无穷大的。基于泊松分布可以得到在不同库存量的条件下的条件期望销量与库存量之间的第一关联关系,具体为:In reality, the amount of inventory cannot be infinite. Based on the Poisson distribution, the first correlation relationship between the conditional expected sales volume and the inventory quantity under the condition of different inventory quantities can be obtained, specifically:
其中,P(k)为条件期望销量,k为库存量。易见条件期望销量是在特定库存量条件下的预测平均销量,它是综合了各种因素的平均结果,可以反映库存量k对销量的影响,通常k越大,条件期望销量越大。Among them, P(k) is the conditional expected sales volume, and k is the inventory quantity. It is easy to see that the conditional expected sales volume is the predicted average sales volume under the condition of a specific inventory quantity. It is the average result of a combination of various factors, which can reflect the influence of the inventory quantity k on the sales volume. Generally, the larger the k, the greater the conditional expected sales volume.
步骤S104:根据第一关联关系和库存量建立库存量、条件期望销量与预测利润的第二关联关系。Step S104: Establish a second correlation relationship between the stock quantity, the conditional expected sales volume and the predicted profit according to the first correlation relation and the stock quantity.
在步骤S104中,预测利润指通过销售商品实现的收入减去总成本,预测利润为某款商品总销量的利润。总成本包括:商品成本、销售成本和资金成本等。由于预测利润受条件期望销量和库存量的影响,所以库存量、条件期望销量与预测利润之间存在第二关联关系。具体地,第二关联关系为:In step S104, the predicted profit refers to the income realized by selling the commodity minus the total cost, and the predicted profit is the profit of the total sales volume of a certain commodity. The total cost includes: commodity cost, sales cost and capital cost. Since the forecast profit is affected by the conditional expected sales volume and the stock quantity, there is a second correlation between the stock quantity, the conditional expected sales volume and the forecast profit. Specifically, the second association relationship is:
Inc(P(k),k)=P(k)*C*E-k*C*R=C*(P(k)*E-k*R)。Inc(P(k),k)=P(k)*C*E-k*C*R=C*(P(k)*E-k*R).
其中,Inc(P(k),k)为预测利润,C为单位商品的进货价格,C*E为(单位商品销售价格-单位商品入库成本-单位商品编货费-单位商品商场扣点-单位商品员工提成-单位商品销售费用),R为资金利率。Among them, Inc(P(k),k) is the predicted profit, C is the purchase price of the unit commodity, and C*E is (the unit commodity selling price - unit commodity storage cost - unit commodity preparation fee - unit commodity mall deduction point - Employee commission per unit commodity - unit commodity sales expense), R is the capital interest rate.
步骤S105:根据第二关联关系确定最优库存量。Step S105: Determine the optimal inventory quantity according to the second association relationship.
在步骤S105中,最优库存量指计算得到的未来某一段时间的最佳库存量,在本实施例中,具体为未来某个月的最佳库存量。由于单位商品的进货成本是相同的,所以要使预测利润最大,等价于使P(k)*E-k*R最大。在步骤S103中我们得知k越大,条件期望销量P(k)越大,P(k)*E也会变大,即增加库存量会增加条件期望销量,但是k*R也会变大。当库存量较小时,增加一单位的库存量可以提高预测利润。而当库存量较大时,增加一单位反而会降低预测利润。预测利润和库存量之间呈一个凹函数的关系。In step S105, the optimal inventory refers to the calculated optimal inventory for a certain period of time in the future, in this embodiment, the optimal inventory in a certain month in the future. Since the purchase cost of the unit commodity is the same, maximizing the predicted profit is equivalent to maximizing P(k)*E-k*R. In step S103, we know that the larger the k, the larger the conditional expected sales volume P(k), and the larger the P(k)*E, that is, the increase of the inventory will increase the conditional expected sales volume, but the k*R will also become larger. . When inventory is small, adding one unit of inventory can improve forecast profit. When the inventory is large, an increase of one unit will reduce the forecast profit. The relationship between forecast profit and inventory is a concave function.
在本实施例中,基于数学规划的方法根据第二关联关系获取预测利润最大值时对应的库存量作为最优库存量,最优库存量为kmax。In this embodiment, the method based on mathematical programming obtains the inventory corresponding to the maximum predicted profit according to the second association relationship as the optimal inventory, and the optimal inventory is km max .
首先,定义KS表示现有库存量,定义RS表示采购量(这个即是需要求的变量),补货资金量上限为Fund;则采购后库存为KKS=KS+RS;则有:First, define KS to represent the existing inventory, define RS to represent the purchase amount (this is the variable that needs to be requested), and the upper limit of replenishment funds is Fund; then the inventory after purchase is KKS=KS+RS; then there are:
max(Inc(P(KKS),KKS))max(Inc(P(KKS),KKS))
通过上述方法可以求得当P(KKS)最大时对应的RS,进而可以求得对应的KKS,此时kmax=KKS=KS+RS。Through the above method, the corresponding RS can be obtained when P(KKS) is the largest, and then the corresponding KKS can be obtained, at this time km max =KKS=KS+RS.
步骤S106:根据最优库存量确定最优采购量。Step S106: Determine the optimal purchase quantity according to the optimal inventory quantity.
在实际过程中,存在采购提前期,即从下单采购到到货时间的周期。例如今天8月1日,采购提前期为1个月,即今天下的采购单,9月1日到货。In the actual process, there is a procurement lead time, that is, the period from order placement to delivery time. For example, on August 1st today, the procurement lead time is 1 month, that is, the purchase order placed today will arrive on September 1st.
在步骤S106中,需要先获取采购提前期、现有库存量,现有库存量包括商店现有的库存量和在途库存(即在运输过程中的库存)。再基于采购提前期、现有库存量根据最优库存量计算最优采购量。其中最优采购量指的是当前的最优采购量。In step S106, it is necessary to obtain the procurement lead time and the on-hand inventory first, and the on-hand inventory includes the existing inventory of the store and the inventory in transit (that is, the inventory in the transportation process). Then, based on the procurement lead time and the existing inventory, the optimal purchase quantity is calculated according to the optimal inventory quantity. The optimal purchase quantity refers to the current optimal purchase quantity.
具体地,在前述的步骤中,已经确定了未来某个月的最佳库存量,根据采购提前期和现有库存量进行计算当前的最优采购量。最优采购量=未来某个月的最佳库存量+采购提前期期间的条件期望销量-现有库存量。其中,若结果为正数表示缺少的数量,也即需采购量;若结果为负数或零则表示库存有浪费,暂不需要采购。Specifically, in the foregoing steps, the optimal inventory quantity in a certain month in the future has been determined, and the current optimal purchase quantity is calculated according to the procurement lead time and the existing inventory quantity. Optimal Purchase Quantity = Optimal Inventory Quantity in a Future Month + Conditional Expected Sales Volume during Purchase Lead Time - On-hand Inventory Quantity. Among them, if the result is a positive number, it means the missing quantity, that is, the quantity to be purchased; if the result is a negative number or zero, it means that the inventory is wasted, and it is not necessary to purchase for the time being.
例如:今天8月1日,A商品的采购提前期为1个月,则需要根据9月1日的最佳库存量来确定今天的采购量。则有:For example: today, August 1st, the purchase lead time of product A is 1 month, and the purchase amount for today needs to be determined according to the optimal inventory amount on September 1st. Then there are:
A商品8月1日的采购量=9月1日最佳库存量+8月条件期望销量-A商品8月1日店内的库存-在途库存。假设9月1日最佳库存量为30,8月条件期望销量为20,A商品8月1日店内的库存为25,在途库存为10,则A商品8月1日的采购量=30+20-25-10=15,即需要在8月1日采购15单位A商品。Purchase volume of product A on August 1 = optimal inventory volume on September 1 + conditional expected sales in August - product A's in-store inventory on August 1 - in-transit inventory. Assuming that the optimal inventory on September 1 is 30, the conditional expected sales volume in August is 20, the inventory of product A in the store on August 1 is 25, and the inventory in transit is 10, then the purchase volume of product A on August 1 = 30+ 20-25-10=15, that is, 15 units of A commodity need to be purchased on August 1.
本发明的珠宝店库存管理方法,先通过历史销售数据预测无条件预测销量,再获取库存量、条件期望销量与预测利润之间的关系式,直接得出预测利润最大时对应的库存量。本发明的方法将库存管理目标直接设定为利润最大化,彻底避免了因目标设置不当(如周转)导致越加强管理,利润可能反而越低的现象,大大提高了商店的利润。同时采用全量化管理,杜绝经验主义,保障了科学性和可迭代性。The jewelry store inventory management method of the invention first predicts unconditionally predicted sales volume through historical sales data, and then obtains the relational expression between inventory quantity, conditional expected sales volume and predicted profit, and directly obtains the inventory corresponding to the maximum predicted profit. The method of the invention directly sets the inventory management target as profit maximization, completely avoids the phenomenon that the more management is strengthened due to improper target setting (such as turnover), the profit may be lower, and the profit of the store is greatly improved. At the same time, full quantitative management is adopted, empiricism is eliminated, and scientificity and iterability are guaranteed.
如图7和图8所示,为某试点珠宝店在2021年1月份采用本发明的珠宝店库存管理方法后销售指数和资产收益率指标变化情况。从图中可以明显地看出销售指标和资产收益率相较没采用本方法前有提高。As shown in FIG. 7 and FIG. 8 , it shows the changes in the sales index and the return on assets index after a pilot jewelry store adopts the jewelry store inventory management method of the present invention in January 2021. It can be clearly seen from the figure that the sales indicators and the return on assets have improved compared with those before this method was adopted.
图4是本发明实施例的珠宝店库存管理装置40的结构示意图。如图4所示,该装置40包括历史数据获取模块41、无条件预测销量预测模块42、条件期望销量计算模块43、预测利润计算模块44、最优库存计算模块45和决策模块46。FIG. 4 is a schematic structural diagram of a jewelry store
历史数据获取模块41用于获取珠宝店各款商品的历史销售数据;The historical
无条件预测销量预测模块42用于根据历史销售数据在不限制库存量的条件下预测无条件预测销量;The unconditional forecast sales
条件期望销量计算模块43用于根据无条件预测销量建立在不同库存量的条件下的条件期望销量与库存量之间的第一关联关系;The conditional expected sales
预测利润计算模块44用于根据第一关联关系和库存量建立库存量、条件期望销量与预测利润的第二关联关系;The predicted
最优库存计算模块45用于根据第二关联关系确定最优库存量;The optimal
决策模块46用于根据最优库存量确定最优采购量。The
关于珠宝店库存管理装置40的具体限定可以参见上文中对于珠宝店库存管理方法的限定,在此不再赘述。上述珠宝店库存管理装置40中的各个模块可全部或部分通过软件、硬件及其组合来实现。For the specific limitations of the jewelry store
请参阅图5,图5为本发明实施例的计算机设备50的结构示意图。如图5所示,该计算机设备50包括处理器52及和处理器52耦接的存储器51。存储器51存储有用于实现上述任一实施例所述的珠宝店库存管理方法的计算机程序。处理器用于执行存储器存储的计算机程序。Please refer to FIG. 5 , which is a schematic structural diagram of a
其中,处理器52还可以称为CPU(Central Processing Unit,中央处理单元)。处理器52能是一种集成电路芯片,具有信号的处理能力。处理器52还可以是通用处理器、数字信号处理器(DSP)、专用集成电路(ASIC)、现成可编程门阵列(FPGA)或者其他可编程逻辑器件、分立门或者晶体管逻辑器件、分立硬件组件。通用处理器可以是微处理器或者该处理器也可以是任何常规的处理器等。The
参阅图6,图6为本发明实施例的计算机存储介质60的结构示意图。本发明实施例的计算机存储介质60存储有能够实现上述所有方法的程序文件61,其中,该程序文件61可以以软件产品的形式存储在上述计算机存储介质60中,包括若干指令用以使得一台计算机设备(可以是个人计算机,服务器,或者网络设备等)或处理器(processor)执行本发明各个实施方式所述方法的全部或部分步骤。而前述的计算机存储介质60包括:U盘、移动硬盘、只读存储器(ROM,Read-Only Memory)、随机存取存储器(RAM,Random Access Memory)、磁碟或者光盘等各种可以存储程序代码的介质,或者是计算机、服务器、手机、平板等终端设备。Referring to FIG. 6, FIG. 6 is a schematic structural diagram of a
在本发明所提供的几个实施例中,应该理解到,所揭露的系统,装置和方法,可以通过其它的方式实现。例如,以上所描述的装置实施例仅仅是示意性的,例如,单元的划分,仅仅为一种逻辑功能划分,实际实现时可以有另外的划分方式,例如多个单元或组件可以结合或者可以集成到另一个系统,或一些特征可以忽略,或不执行。另一点,所显示或讨论的相互之间的耦合或直接耦合或通信连接可以是通过一些接口,装置或单元的间接耦合或通信连接,可以是电性,机械或其它的形式。In the several embodiments provided by the present invention, it should be understood that the disclosed system, apparatus and method may be implemented in other manners. For example, the device embodiments described above are only illustrative. For example, the division of units is only a logical function division. In actual implementation, there may be other division methods. For example, multiple units or components may be combined or integrated. to another system, or some features can be ignored, or not implemented. On the other hand, the shown or discussed mutual coupling or direct coupling or communication connection may be through some interfaces, indirect coupling or communication connection of devices or units, and may be in electrical, mechanical or other forms.
另外,在本发明各个实施例中的各功能单元可以集成在一个处理单元中,也可以是各个单元单独物理存在,也可以两个或两个以上单元集成在一个单元中。上述集成的单元既可以采用硬件的形式实现,也可以采用软件功能单元的形式实现。In addition, each functional unit in each embodiment of the present invention may be integrated into one processing unit, or each unit may exist physically alone, or two or more units may be integrated into one unit. The above-mentioned integrated units may be implemented in the form of hardware, or may be implemented in the form of software functional units.
以上仅为本发明的实施方式,并非因此限制本发明的专利范围,凡是利用本发明说明书及附图内容所作的等效结构或等效流程变换,或直接或间接运用在其他相关的技术领域,均同理包括在本发明的专利保护范围内。The above is only an embodiment of the present invention, and is not intended to limit the scope of the present invention. Any equivalent structure or equivalent process transformation made by using the contents of the description and drawings of the present invention, or directly or indirectly applied in other related technical fields, All are similarly included in the scope of patent protection of the present invention.
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