A joint inventory control method for recommending high-end and low-end substitutes in the context of shortages.

Abstract

This invention provides a joint inventory control method for recommending the availability of high-end and low-end substitutes in a pre-positioned warehouse, relating to the field of inventory management technology. This invention takes into account the order fulfillment time and price differences between the high-end and low-end products when purchasing two different products. E-commerce platforms can more accurately predict demand, rationally allocate inventory, and achieve supply and demand balance. By optimizing order quantities, platforms can reduce the risk of inventory backlog, improve capital utilization efficiency, and thus achieve cost control and profit maximization.

Description

TECHNICAL FIELD

[0001] The present application relates to the technical field of inventory management, in particular to an inventory joint control method under the condition of high-end and low-end replaceable product out-of-stock recommendation of front warehouse. BACKGROUND

[0002] According to relevant investigations, more than 70% of users (i.e. consumers) of e-commerce platforms in the online retail industry express dissatisfaction if they do not receive an order confirmation or shipping notice within 24 hours after purchasing a product. In addition, more than 80% of users express a preference for purchasing products that provide fast shipping and on-time delivery. These data indicate that users pay close attention to order processing speed and delivery time. Therefore, in today's highly competitive market environment, retailers need to pay attention to order processing efficiency and delivery speed to meet user needs and improve customer satisfaction. In particular, under the condition of user preference product out-of-stock, how to effectively respond to user demand and balance inventory cost has become an urgent challenge for supply chain management. To this end, the front warehouse mode, as a strategy in supply chain management, is gradually applied by major e-commerce enterprises to help retailers better respond to user attention to order processing speed and delivery time. By setting front warehouses in locations closer to users, it effectively shortens order processing and delivery time, improves order response speed, and meets user fast delivery needs.

[0003] At the same time, it is easy to find that when users want to purchase a low-end product, they will choose to purchase a similar high-end product at a higher price to replace it. This replacement behavior reflects user demand for product functionality and demonstrates their acceptance of different price points. This phenomenon is particularly pronounced in e-commerce enterprises that apply the front warehouse mode, as the front warehouse mode can provide more convenient and fast replenishment mechanisms, allowing both high-end and low-end products to be quickly replenished and maintain sufficient inventory. For users, when they find that the low-end product they need is out of stock, they can more easily find a replacement high-end product within the same platform, thereby meeting their demand for product functionality.

[0004] However, existing inventory research on product replacement assumes that the replacement rate between replaceable products is quantitative, without considering user selection behavior, resulting in inventory strategies that do not meet actual needs. SUMMARY

[0005] (I) Technical problems solved

[0006] In view of the deficiencies of the prior art, the application provides a kind of front warehouse high-low-end replaceable product out-of-stock recommendation under inventory joint control method, solve the existing about front warehouse high-low-end replaceable product out-of-stock recommendation under inventory research because not considering the selection behavior of user leads to the technical problem that the inventory strategy does not meet the actual demand.

[0007] (II) Technical solution

[0008] To achieve the above object, the application is realized by the following technical solutions:

[0009] In the first aspect, the application provides a kind of front warehouse high-low-end replaceable product out-of-stock recommendation under inventory joint control method, comprising:

[0010] S1, the parameters of two quality difference replaceable products are acquired, and utility function is constructed according to parameters;Wherein, product parameters include product quality, product price and the order fulfillment time corresponding to the purchase of two products respectively;

[0011] S2, the user preference low-end product condition and the user preference high-end product condition of e-commerce platform are determined according to utility function, and when low-end product is out of stock, the original preference low-end product condition of user selection central warehouse delivery and the condition of user selection accepting front warehouse delivery high-end product replacement, and the probability of accepting high-end product replacement are determined according to utility function;

[0012] S3, according to parameters, user preference low-end product condition, user preference high-end product condition, and when low-end product is out of stock, the original preference low-end product condition of user selection central warehouse delivery, the condition of user selection accepting front warehouse delivery high-end product replacement, and the probability of accepting high-end product replacement, the relationship between front warehouse two product inventory and actual demand is determined, and profit function is calculated;

[0013] S4, the expected profit function of e-commerce platform is determined according to profit function;

[0014] S5, the expected profit function of e-commerce platform is solved, and the optimal order quantity of two high-low-end replaceable products is obtained, and the inventory of two high-low-end replaceable products is controlled.

[0015] In the second aspect, the application provides a kind of front warehouse high-low-end replaceable product out-of-stock recommendation under inventory joint control system, comprising:

[0016] The utility function construction module is used for acquiring the parameters of two quality difference replaceable products, and utility function is constructed according to parameters;Wherein, product parameters include product quality, product price and the order fulfillment time corresponding to the purchase of two products respectively;

[0017] The utility function analysis module is configured to determine, according to the utility function, a condition in which a user of the e-commerce platform prefers a low-end product and a condition in which the user prefers a high-end product, and determine, according to the utility function, a condition in which the user originally prefers the low-end product when the low-end product is out of stock and a condition in which the user chooses to accept the high-end product delivered from the front warehouse as a substitute, and a probability of accepting the substitution with the high-end product;

[0018] The inventory quantity and actual demand quantity relationship determination module is configured to determine, according to the parameters, the condition in which the user prefers the low-end product, the condition in which the user prefers the high-end product, the condition in which the user originally prefers the low-end product when the low-end product is out of stock, the condition in which the user chooses to accept the high-end product delivered from the front warehouse as a substitute, and the probability of accepting the substitution with the high-end product, a relationship between the inventory quantity of the two products in the front warehouse and the actual demand quantity, and calculate a profit function;

[0019] The expected profit function construction module is configured to determine, according to the profit function, an expected profit function of the e-commerce platform.

[0020] The optimal order quantity solving module is configured to solve the expected profit function of the e-commerce platform to obtain optimal order quantities of the two high-end and low-end substitutable products, and control the inventory quantities of the two high-end and low-end substitutable products.

[0021] In a third aspect, the present application provides a computer readable storage medium storing a computer program for inventory joint control under front warehouse high-end and low-end substitutable product out-of-stock recommendation, wherein the computer program causes a computer to execute the inventory joint control method under front warehouse high-end and low-end substitutable product out-of-stock recommendation as described above.

[0022] In a fourth aspect, the present application provides an electronic device comprising:

[0023] one or more processors, a memory, and one or more programs, wherein the one or more programs are stored in the memory and configured to be executed by the one or more processors, and the programs comprise a program for executing the inventory joint control method under front warehouse high-end and low-end substitutable product out-of-stock recommendation as described above.

[0024] (Three) beneficial effects

[0025] The present application provides an inventory joint control method under front warehouse high-end and low-end substitutable product out-of-stock recommendation. Compared with the prior art, the present application has the following beneficial effects:

[0026] The present application takes into account the order fulfillment time corresponding to the purchase of the two products and the price difference between the high-end and low-end products, and the e-commerce platform can more accurately predict demand, reasonably arrange inventory, and achieve supply and demand balance. By optimizing the order quantity, the platform can reduce the risk of inventory accumulation, improve the efficiency of capital utilization, and thus achieve cost control and profit maximization. BRIEF DESCRIPTION OF DRAWINGS

[0027] In order to more clearly illustrate the technical solutions in the embodiments of the present application or the prior art, the drawings needed to be used in the embodiments or prior art description will be briefly introduced. Obviously, the drawings in the following description are only some embodiments of the present application, and other drawings can be obtained by those skilled in the art without creative effort on the basis of these drawings.

[0028] Figure 1 A block diagram of the inventory joint control method under the condition of the out-of-stock recommendation of the high-end and low-end alternative products of the front warehouse;

[0029] Figure 2a A schematic diagram of the selection of users under the condition that the low-end product 2 of the front warehouse is not out of stock;

[0030] Figure 2b A schematic diagram of the selection of users under the condition that the low-end product 2 of the front warehouse is out of stock. DETAILED DESCRIPTION

[0031] In order to make the objects, technical solutions and advantages of the embodiments of the present application clearer, the technical solutions in the embodiments of the present application are described clearly and completely. Obviously, the described embodiments are some of the embodiments of the present application, but not all the embodiments. Based on the embodiments in the present application, all other embodiments obtained by those skilled in the art without creative effort belong to the protection scope of the present application.

[0032] The embodiments of the present application provide an inventory joint control method under the condition of the out-of-stock recommendation of the high-end and low-end alternative products of the front warehouse, which solves the technical problem that the inventory under the condition of the out-of-stock recommendation of the high-end and low-end alternative products of the front warehouse does not meet the actual demand due to the failure to consider the selection behavior of users, more accurately predicts the demand, reasonably arranges the inventory, and realizes the balance between supply and demand.

[0033] The technical solutions in the embodiments of the present application are as follows to solve the above technical problems:

[0034] The existing inventory research under the condition of the out-of-stock recommendation of the high-end and low-end alternative products of the front warehouse mainly has the following two problems:

[0035] In one aspect, the out-of-stock recommendation behavior of the e-commerce platform is different from the product recommendation according to the user portrait or individual preference, which is a substitute product recommendation after the customer has determined the preferred product and encountered the out-of-stock situation. The recommendation behavior is not based on the user's preference, but on the user's preference for order response time, which essentially belongs to the enterprise-driven product substitution strategy. In the product substitution literature, most studies focus on customer-driven substitution, and enterprise-driven substitution mainly considers inter-company transfer problems or multi-product inventory control problems under the background of cooperative production system. However, whether it is customer-driven substitution or enterprise-driven substitution, the substitution rate between alternative products is assumed to be a constant, and the user's selection behavior is not considered.

[0036] On the other hand, the out-of-stock recommendation behavior is related to the pre-warehouse substitute product inventory, so that the product demand can be aggregated, and the inventory management of the two substitute products is changed from decentralized management to centralized management, which ultimately affects the inventory decision of the product. Existing research shows that inventory aggregation can often reduce inventory levels and costs, such as centralizing the inventory of dispersed demand points for the same product. Some scholars have found that under the condition of multi-product competition with out-of-stock penalty cost and partial product substitution, at least one product inventory level is higher than that in the centralized management case. It can be seen that centralized inventory is not always beneficial.

[0037] In order to solve the above problems, the embodiment of the present application provides a pre-warehouse high-low-end substitutable product out-of-stock recommendation under inventory joint control method, which mainly considers the inventory aggregation problem of two high-low-end substitutable products, and considers the influence of the shortening of response time caused by pre-warehouse on the inventory aggregation effect, so as to realize the flexible adjustment of inventory strategy.

[0038] In order to better understand the above technical solution, the above technical solution will be described in detail in combination with the drawings of the specification and the specific embodiments.

[0039] The embodiment of the present application provides a pre-warehouse high-low-end substitutable product out-of-stock recommendation under inventory joint control method, as shown in Figure 1 The inventory joint control method comprises the following steps:

[0040] S1, obtaining the parameters of two substitutable products with quality difference, and constructing a utility function according to the parameters; wherein, the product parameters include product quality, product price and order fulfillment time corresponding to the purchase of two products respectively;

[0041] S2, determining the case that the user of the e-commerce platform prefers the low-end product and the case that the user prefers the high-end product according to the utility function, and determining the case that the user selects the central warehouse to deliver the originally preferred low-end product and the case that the user accepts the pre-warehouse to deliver the high-end product substitution when the low-end product is out of stock according to the utility function, and the probability of accepting the high-end product substitution;

[0042] S3. Based on parameters, user preference for low-end products, user preference for high-end products, and when low-end products are out of stock, the user chooses to ship from the central warehouse if they originally preferred low-end products, and the user chooses to accept high-end products as a substitute from the front warehouse. Determine the relationship between the inventory of the two products in the front warehouse and the actual demand, and calculate the profit function.

[0043] S4. Determine the expected profit function of the e-commerce platform based on the profit function;

[0044] S5. Solve the expected profit function of the e-commerce platform to obtain the optimal order quantity of two substitutable high-end and low-end products, and control the inventory of the two substitutable high-end and low-end products.

[0045] This invention takes into account the order fulfillment time and price differences between high-end and low-end products when purchasing two different products. E-commerce platforms can more accurately predict demand, rationally allocate inventory, and achieve supply-demand balance. By optimizing order quantities, platforms can reduce the risk of inventory backlog, improve capital utilization efficiency, and thus achieve cost control and profit maximization.

[0046] In step S1, parameters of two substitute products with different qualities are obtained, and a utility function is constructed based on these parameters. The product parameters include product quality, product price, and the order fulfillment time corresponding to the purchase of each product. Specifically, this includes:

[0047] When users purchase products online, they primarily focus on three aspects: product quality, product price, and the order fulfillment time for each type of product. Therefore, the following utility function can be constructed:

[0048] u i =λs i -p i -δθt

[0049] Among them, the user's perceived quality coefficient λ follows a uniform distribution on [0,1], s i p represents the quality of product i. i Let represent the price of product i, t represent the necessary waiting time for product delivery to the user, θ represent the reduction in necessary waiting time due to the application of the pre-warehouse model, and δ represent the user's sensitivity coefficient to waiting time. Assume product 1 is a high-end product and product 2 is a low-end product; therefore, s1>s2 and p1>p2, and the high-end product has a higher profit margin than the low-end product. Let the purchase cost of product i be c. i Then p1-c1>p2-c2, i=1,2.

[0050] In practice, product parameters also include inventory levels.

[0051] In step S2, the utility function is used to determine whether users on the e-commerce platform prefer low-end products or high-end products. Furthermore, the utility function is used to determine whether, when low-end products are out of stock, users choose to receive shipments from the central warehouse (indicating their original preference for low-end products) or accept shipments from the forward warehouse as a substitute, along with the probability of accepting the high-end product as a substitute. Specifically, this includes:

[0052] By setting u1 = u2, we can derive the indifference point where utilities are equal as follows: And by u i =0, indicating that the critical value of the quality perception coefficient when the user's utility for product i is 0 is 0. Furthermore, for products 1 and 2, assume λ1 > λ2. Therefore: a) when 0 ≤ λ ≤ λ2, the user neither buys the high-end product 1 nor the low-end product 2; b) when λ2 < λ ≤ λ0, the user prefers the low-end product 2; c) when λ0 < λ ≤ 1, the user prefers the high-end product 1.

[0053] However, when low-end product 2 is out of stock, users face two choices: First, the central warehouse can ship low-end product 2, but users will have to endure a longer waiting time. In this case, the utility of low-end product 2 is u2′=λs2-p2-δt. Second, users can accept high-end product 1 shipped from the forward warehouse to replace their demand for low-end product 2. In this case, users can get the product faster. In this case, the utility of high-end product 1 is u1=λs1-p1-δθt.

[0054] By setting u1 = u2′, the critical value can be obtained. Let u2′=0, we can get Therefore, it can be concluded that when a user prefers lower-end product 2 but encounters a stock shortage, if λ4 < λ ≤ λ3, the user chooses to have the central warehouse ship the original preferred lower-end product 1; if λ3 < λ ≤ λ0, the user chooses to accept the high-end product 1 shipped from the forward warehouse as a substitute. The probability of accepting the high-end product 1 as a substitute is...

[0055] In step S3, based on parameters, user preferences for low-end products, user preferences for high-end products, and when low-end products are out of stock, the probability of users choosing to receive high-end products from the central warehouse (indicating their original preference for low-end products) and the probability of accepting high-end products as a substitute from the forward warehouse, the relationship between the inventory levels of the two products in the forward warehouse and the actual demand is determined, and the profit function is calculated. Specifically, this includes:

[0056] Assume the order quantities of product 1 and product 2 are Q1 and Q2 respectively, and the market potential D of the two products is a random variable with probability density function f(x) and distribution function F(x) respectively. Therefore, regarding the specific market demand for the two products, if the current inventory can fully meet the market demand for the lower-end product 2 (i.e., D2 ≤ Q2), the market demand for the lower-end product 2 is D2 = (λ0 - λ2)D, and the market demand for the higher-end product 1 is D1 = (1 - λ0)D. Specifically, as follows... Figure 2a Partially; however, when the existing inventory cannot fully meet the market demand for low-end product 2, i.e., D2 > Q2, some of the unmet users will transfer to purchase high-end product 1. At this time, the market demand for low-end product 2 is still D2 = (λ0 - λ2)D, while the market demand for high-end product 1 includes two parts: one is the initial demand for high-end product 1, and the other is the replacement demand transferred from low-end product 2. The demand for product 1 is D1′ = D1 + α(D2 - Q2) = (1 - λ0)D + α[(λ0 - λ2)D - Q2], where the replacement ratio α is as follows: Figure 2b part.

[0057] Then, based on the relationship between the market demand and order volume of the two products, the following four situations can be identified.

[0058] Scenario 1: If the current inventory can fully meet the market demand for both low-end product 2 and high-end product 1, i.e., D1≤Q1, D2≤Q2, then the total demand for both products is satisfied. The profit function is:

[0059] π1=p1D1+p2D2-c1Q1-c2Q2

[0060] Scenario 2: If the current inventory can fully meet the market demand for low-end product 2, but cannot fully meet the market demand for high-end product 1, i.e., D1 > Q1, D2 ≤ Q2, then the total demand for both products is satisfied. The profit function is:

[0061] π² = p₁Q₁ + p₂D₂ - c₁Q₁ - c₂Q₂

[0062] Scenario 3: The current inventory cannot fully meet the market demand for low-end product 2, but it can fully meet the total market demand after adding the initial demand for high-end product 1 and the replacement demand transferred from product 2, i.e., D1′≤Q1, D2>Q2. In this case, the total demand for both products is satisfied. The profit function is:

[0063] π3=p1D1′+p2Q2-c1Q1-c2Q2

[0064] Scenario 4: The current inventory cannot fully meet the market demand for low-end product 2, nor can it fully meet the total market demand after adding the initial demand for high-end product 1 and the replacement demand transferred from product 2, i.e., D1′>Q1, D2>Q2. In this case, the total demand for both products is satisfied. The profit function is:

[0065] π4=p1Q1+p2Q2-c1Q1-c2Q2

[0066] Where c1 represents the unit ordering cost of product 1, and c2 represents the unit ordering cost of product 2.

[0067] In step S4, the expected profit function of the e-commerce platform is determined based on the profit function. Specifically, this includes:

[0068] Based on the above description, the profit function of the e-commerce platform under the four scenarios is as follows:

[0069]

[0070] Therefore, the expected profit function is

[0071]

[0072] Now, let's further discuss the expected profit function of e-commerce platforms:

[0073] (1) When Time, naturally there The expected profit function at this point is:

[0074]

[0075] (2) When Time, naturally there At this point, the expected profit function is:

[0076]

[0077] In step S5, the expected profit function of the e-commerce platform is solved to determine the optimal order quantity for two substitutable high-end and low-end products, and the inventory levels of these products are controlled. Specifically, this includes:

[0078] To determine the expected profit, the platform needs to decide on the order quantities Q1 and Q2 for two products. However, because Q1 and Q2 have different relative sizes, the resulting profit function leads to different expected profit functions for the e-commerce platform. Therefore, we can first solve for the optimal reaction function of Q1 with respect to Q2. Substitute the values ​​into the piecewise expected profit function to solve for the optimal value of Q2, and then substitute the optimal value of Q2 into the optimal reaction function. In this process, the optimal value of Q1 is obtained. That is, Q2 is first treated as a constant, and Q1 as the independent variable, and the optimal value is obtained through this piecewise expected profit function. The optimal reaction function of Q1 with respect to Q2 is obtained by taking the derivative. Then, the optimal reaction function is substituted into the piecewise expected profit function. At this point, the expected profit function contains only one independent variable, Q2. By finding the zero point through the first derivative, the optimal value of Q2 is obtained. Finally, the optimal value of Q2 is substituted into the optimal response function of Q1 with respect to Q2 to obtain the optimal value of Q1.

[0079]

[0080] Therefore, the optimal reaction function of Q1 with respect to Q2 can be obtained. for

[0081]

[0082] After that, Substituting these values, we can obtain the expected profit function with respect to Q2 only. By Substituting into the piecewise expected profit function, the function values ​​for the two segments are equal. Since it is a continuous function, we then take the second derivative of both segments and find that the second derivatives both have a constant value. but:

[0083] (i) When Sometimes, there will be Then there is

[0084]

[0085] (ii) when Sometimes, there will be Then there is

[0086]

[0087] The optimal order quantity for two substitutable high-end and low-end products is determined through the above process, thereby controlling the inventory levels of these two substitutable products and achieving inventory control.

[0088] This invention provides a joint inventory control system for recommending high- and low-end alternatives in a pre-positioned warehouse, comprising:

[0089] The utility function construction module is used to obtain parameters of two substitute products with different qualities and construct utility functions based on the parameters; among them, product parameters include product quality, product price, and the order fulfillment time corresponding to the purchase of the two products respectively;

[0090] The utility function analysis module is used to determine, based on the utility function, whether users on the e-commerce platform prefer low-end products or high-end products. It also determines, based on the utility function, whether users choose to have their original preference for low-end products shipped from the central warehouse or choose to accept high-end products shipped from the front warehouse as a substitute when low-end products are out of stock, as well as the probability of accepting the substitution with high-end products.

[0091] The module for determining the relationship between inventory and actual demand is used to determine the relationship between the inventory of the two products in the front warehouse and the actual demand based on parameters, user preference for low-end products, user preference for high-end products, and when low-end products are out of stock, whether users choose to ship the original preferred low-end products from the central warehouse, whether users choose to accept high-end products from the front warehouse as a substitute, and the probability of accepting the substitution with high-end products. It also calculates the profit function.

[0092] The expected profit function construction module is used to determine the expected profit function of an e-commerce platform based on the profit function.

[0093] The optimal order quantity solution module is used to solve the expected profit function of the e-commerce platform, obtain the optimal order quantity of two substitutable high-end and low-end products, and control the inventory of the two substitutable high-end and low-end products.

[0094] It is understood that the inventory joint control system under the recommendation of high and low end substitutes for pre-positioned warehouses provided in this embodiment of the invention corresponds to the above-mentioned inventory joint control method under the recommendation of high and low end substitutes for pre-positioned warehouses. The explanation, examples, and beneficial effects of the relevant content can be referred to the corresponding content in the inventory joint control method under the recommendation of high and low end substitutes for pre-positioned warehouses, and will not be repeated here.

[0095] This invention also provides a computer-readable storage medium storing a computer program for joint inventory control under the recommendation of high- and low-end substitutes for pre-positioned warehouses when they are out of stock. The computer program causes a computer to execute the joint inventory control method for recommending high- and low-end substitutes for pre-positioned warehouses as described above.

[0096] This invention also provides an electronic device, including: one or more processors; a memory; and one or more programs, wherein the one or more programs are stored in the memory and configured to be executed by the one or more processors, the programs including an inventory joint control method for performing the pre-positioned warehouse high and low end substitute shortage recommendation as described above.

[0097] In summary, compared with existing technologies, it has the following beneficial effects:

[0098] 1. This invention takes into account the order fulfillment time and price differences between high-end and low-end products when purchasing two different products. E-commerce platforms can more accurately predict demand, rationally allocate inventory, and achieve supply and demand balance. By optimizing order quantities, platforms can reduce the risk of inventory backlog, improve capital utilization efficiency, and thus achieve cost control and profit maximization.

[0099] 2. By employing the methods described above, we can effectively understand users' preferences regarding product quality and response time. E-commerce platforms can optimize their out-of-stock recommendation strategies to improve recommendation accuracy and purchase conversion rates. Customized recommendation strategies, tailored to the preferences of different user groups, will make the platform more attractive and enhance the user experience.

[0100] 3. By employing the methods described above, e-commerce platforms can optimize order volume and pricing strategies, offering a wider selection of products that better meet user needs and improving shopping experience satisfaction. This will help enhance user trust and loyalty to the platform, boost brand reputation, and ultimately attract more users and increase transaction volume.

[0101] It should be noted that, in this document, relational terms such as "first" and "second" are used only to distinguish one entity or operation from another, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Furthermore, the terms "comprising," "including," or any other variations thereof are intended to cover non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements includes not only those elements but also other elements not expressly listed, or elements inherent to such a process, method, article, or apparatus. Without further limitations, an element defined by the phrase "comprising one..." does not exclude the presence of other identical elements in the process, method, article, or apparatus that includes said element.

[0102] The above embodiments are only used to illustrate the technical solutions of the present invention, and are not intended to limit it. Although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some of the technical features. Such modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims

1. A front warehouse high-low end replaceable product out-of-stock recommendation under inventory joint control method, characterized in that, The utility function is constructed according to the parameters of the two alternative products with different quality differences, wherein the product parameters include product quality, product price and order fulfillment time corresponding to the purchase of the two products respectively. S2, determining the condition of user preference for low-end products and the condition of user preference for high-end products on the e-commerce platform according to the utility function, and determining the condition of user selection of the central warehouse delivery of the original low-end product and the condition of user acceptance of the front warehouse delivery of the high-end product substitution when the low-end product is out of stock according to the utility function, and the probability of acceptance of the high-end product substitution; S3, determining the relationship between the actual demand and the inventory of the two products in the front warehouse according to the parameters, the condition of user preference for low-end products, the condition of user preference for high-end products, the condition of user selection of the central warehouse delivery of the original low-end product when the low-end product is out of stock, the condition of user acceptance of the front warehouse delivery of the high-end product substitution, and the probability of acceptance of the high-end product substitution, and calculating the profit function; S4, determining the expected profit function of the e-commerce platform according to the profit function; S5, solving the expected profit function of the e-commerce platform to obtain the optimal order quantity of the two high-end and low-end alternative products, and controlling the inventory of the two high-end and low-end alternative products. The utility function includes: The determination of the condition of user preference for low-end products and the condition of user preference for high-end products on the e-commerce platform according to the utility function includes: u i = λs i -p i -δθt where λ denotes the user's perception coefficient of quality, λ is uniformly distributed on [0, 1]; s i denotes the quality of product i; p i denotes the price of product i; t denotes the necessary waiting time for product delivery to the user; θ denotes the necessary waiting time reduction ratio caused by applying the front warehouse mode; δ denotes the user's sensitivity coefficient to waiting time; i = 1, 2, wherein product 1 denotes a high-end product, and product 2 denotes a low-end product; therefore, s1 > s2 and p1 > p2, and the high-end product has a higher profit space than the low-end product, and if the purchase cost of product i is c i , then p1 - c1 > p2 - c2, i = 1, 2.

2. The inventory joint control method for recommending out-of-stock of replaceable high-low items in front warehouse according to claim 1, wherein, For product 1 and product 2, it is assumed that λ1>λ2, so: a) when 0≤λ≤λ2, the user neither purchases high-end product 1 nor low-end product 2; b) when λ2<λ≤λ0, the user prefers low-end product 2; c) when λ0<λ≤1, the user prefers high-end product 1. By setting u1 = u2, we obtain the indifference point where the utilities are equal By u i = 0, it follows that the critical value of the quality perception coefficient under the utility of the user for the product i being 0 is The determination of the condition of user selection of the central warehouse delivery of the original low-end product and the condition of user acceptance of the front warehouse delivery of the high-end product substitution when the low-end product is out of stock according to the utility function, and the probability of acceptance of the high-end product substitution includes:

3. The inventory joint control method for recommending out-of-stock of replaceable high-low items in front warehouse according to claim 1, wherein, When the low-end product 2 is out of stock, the user will face two choices: one is to deliver the low-end product 2 from the central warehouse, but to endure longer waiting time, at this time the utility for the low-end product 2 is u′2=λs2-p2-δt; the other is to accept the delivery of the high-end product 1 from the front warehouse to replace the demand for the low-end product 2, so that the user can get the product faster, at this time the utility for the high-end product 1 is u1=λs1-p1-δθt; S3 includes: By letting u1 = u'2, the critical value is obtained By letting u'2 = 0, we obtain It is concluded that when the user prefers the low-end product 2 but encounters a shortage situation, when λ4< λ ≤ λ3, the user selects the central warehouse to deliver the original low-end product 1; when λ3< λ ≤ λ0, the user selects to accept the high-end product 1 delivered by the front warehouse to replace; wherein the probability of accepting replacement with the high-end product 1 is 4. The inventory joint control method for recommending out-of-stock of replaceable high-low items in front warehouse according to claim 1, wherein, π1=p1D1+p2D2-c1Q1-c2Q2 Case 1: The current warehouse inventory can fully meet the market demand of low-end product 2 and can fully meet the market demand of high-end product 1, that is, D1≤Q1, D2≤Q2, at this time the total demand of two products satisfies The profit function is: π2=p1Q1+p2D2-c1Q1-c2Q2 Case 2: The current warehouse inventory can fully meet the market demand of low-end product 2, but cannot fully meet the market demand of high-end product 1, that is, D1>Q1, D2≤Q2, at this time the total demand of two products is satisfied The profit function is: π3=p1D′1+p2Q2-c1Q1-c2Q2 Case 3: The current warehouse inventory cannot fully meet the market demand of low-end product 2, but can fully meet the initial demand of high-end product 1 and the total demand after adding the alternative demand of product 2 transfer, that is, D'1≤Q1, D2>Q2, at this time the total demand of two products meets The profit function is: wherein D′1=D1+α(D2-Q2)=(1-λ0)D+α[(λ0-λ2)D-Q2], D′1 represents the market demand for high-end product 1 in case 3; π4=p1Q1+p2Q2-c1Q1-c2Q2 Case 4: The current warehouse inventory cannot fully meet the market demand of low-end product 2, and cannot fully meet the initial demand of high-end product 1 and the total demand after adding the alternative demand of product 2 transfer, that is, D'1>Q1, D2>Q2, at this time the total demand of two products is satisfied The profit function is: wherein Q1 is the order quantity of product 1, Q2 is the order quantity of product 2, α represents the probability of acceptance of the high-end product 1 substitution; c1 represents the unit order cost of product 1, and c2 represents the unit order cost of product 2. ​ 5. The inventory joint control method for recommending out-of-stock of replaceable high-low items in front warehouse according to claim 4, wherein, The e-commerce platform expects profit function, including: wherein, when there is naturally a desired profit function When there is a desired profit function of the form 6. The inventory joint control method for recommending out-of-stock of replaceable high-low items in front warehouse according to claim 5, wherein, The expected profit function of the e-commerce platform is solved to obtain the optimal order quantity of the two high-end and low-end substitutable products, and the inventory quantity of the two high-end and low-end substitutable products is controlled, including First, solve the optimal reaction function Q1 about Q2 * (Q2), and then substitute the optimal value of Q2 into the expected profit function to solve the optimal value of Q2, and then substitute the optimal value of Q2 into the optimal reaction function Q1 * (Q2) to obtain the optimal value of Q1; solve the optimal order quantity of the two high-end and low-end substitutable products, thereby controlling the inventory of the two high-end and low-end substitutable products, and achieving inventory control.

7. A front warehouse high-low end replaceable product out-of-stock recommendation under the inventory joint control system, characterized in that, Including: The utility function construction module is configured to obtain parameters of the two substitutable products with different qualities, and construct a utility function according to the parameters; wherein the product parameters include product quality, product price, and order fulfillment time corresponding to the purchase of the two products respectively; The utility function analysis module is configured to determine a case where a user of the e-commerce platform prefers a low-end product and a case where the user prefers a high-end product according to the utility function, and determine a case where the user selects a central warehouse to deliver the original low-end product when the low-end product is out of stock and a case where the user accepts a front-end warehouse to deliver a high-end product to replace the low-end product, and a probability of accepting the replacement by the high-end product according to the utility function; The inventory quantity and actual demand quantity relationship determination module is configured to determine a relationship between the inventory quantity and the actual demand quantity of the two products in the front-end warehouse according to the parameters, the case where the user prefers the low-end product, the case where the user prefers the high-end product, the case where the user selects the central warehouse to deliver the original low-end product when the low-end product is out of stock, the case where the user accepts the front-end warehouse to deliver the high-end product to replace the low-end product, and the probability of accepting the replacement by the high-end product, and calculate a profit function; The expected profit function construction module is configured to determine an expected profit function of the e-commerce platform according to the profit function; The optimal order quantity solving module is configured to solve the expected profit function of the e-commerce platform to obtain the optimal order quantity of the two high-end and low-end substitutable products, and control the inventory quantity of the two high-end and low-end substitutable products. The utility function includes: u i = λs i -p i -δθt where λ denotes the user's perception coefficient of quality, λ is uniformly distributed on [0, 1]; s i denotes the quality of product i; p i denotes the price of product i; t denotes the necessary waiting time for product delivery to the user; θ denotes the necessary waiting time reduction ratio caused by applying the front warehouse mode; δ denotes the user's sensitivity coefficient to waiting time; i = 1, 2, wherein product 1 denotes a high-end product, and product 2 denotes a low-end product; therefore, s1 > s2 and p1 > p2, and the high-end product has a higher profit space than the low-end product, and if the purchase cost of product i is assumed to be c i , then p1 - c1 > p2 - c2, i = 1, 2.

8. A computer-readable storage medium, characterized in that, The computer program for joint control of inventory under recommendation of out-of-stock of high-end and low-end substitutable products in the front-end warehouse is stored, wherein the computer program enables a computer to execute the joint control method of inventory under recommendation of out-of-stock of high-end and low-end substitutable products in the front-end warehouse according to any one of claims 1 to 6.

9. An electronic device, comprising: Including: One or more processors, memories, and one or more programs, wherein the one or more programs are stored in the memories and configured to be executed by the one or more processors, and the programs include a program for executing the joint control method of inventory under recommendation of out-of-stock of high-end and low-end substitutable products in the front-end warehouse according to any one of claims 1 to 6.

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