Inventory replenishment strategy judgment method, device and system and storage medium

Abstract

The invention discloses an inventory replenishment strategy judgment method, device and system and a storage medium, and relates to the technical field of data processing. The method comprises the following steps: calculating and judging balanced profits under three conditions that an inventory replenishment system is not used, the inventory replenishment system is used but based on an original profit sharing proportion, and the inventory replenishment system is used and an optimal profit sharing proportion is recalculated to obtain an inventory replenishment strategy of an enterprise. By adopting the inventory replenishment strategy judgment method provided by the embodiment of the invention, the working enthusiasm of salesmen can be improved, the decision-making scientificity and accuracy of the inventory replenishment strategy can be improved, an enterprise can clearly know under which conditions the inventory replenishment system can be used to maximize the overall profit, and through a reasonable profit distribution mechanism, the economic benefit of the enterprise can be improved. And the enthusiasm and creativity of sales personnel are further stimulated.

Description

Technical Field

[0001] The present application belongs to the field of data processing technology, and in particular, relates to a method, device, system and storage medium for determining an inventory replenishment strategy. Background Art

[0002] Currently, many companies delegate order quantity decisions to sales staff, that is, sales staff decide how much effort to put in to increase sales and decide on the product order quantity, while the company decides the profit share ratio given to the sales staff. With the development of AI technology, more and more companies are beginning to use inventory replenishment systems to predict product demand and decide on product order quantities. At this time, sales staff only need to decide the level of effort after the inventory replenishment system determines the order quantity, and the profit share ratio given to sales staff by the company remains unchanged.

[0003] Under the traditional method, sales staff decide the order quantity and effort level. However, since humans cannot accurately predict market demand, the order quantity and effort level at this time are not accurate, which will lead to profit loss for the company and sales staff. When the inventory replenishment system is used directly without modifying the profit sharing ratio, although the inventory replenishment system can accurately predict market demand, it cannot accurately predict the effort level of sales staff. Sales staff can influence product demand by changing their effort level, so this will still lead to profit loss for the company and sales staff. Summary of the invention

[0004] The purpose of this application is to provide a method, device, system and storage medium for judging inventory replenishment strategies. By comprehensively using the principal-agent model and the optimization function of the inventory replenishment system, the profit performance of enterprises and sales personnel under different circumstances is comprehensively evaluated, thereby providing a judgment basis for enterprises to formulate inventory replenishment strategies.

[0005] In order to achieve the above objectives, the solution of this application is:

[0006] In a first aspect, an embodiment of the present application provides a method for determining an inventory replenishment strategy, including:

[0007] Without using the inventory replenishment system, the first profit sharing ratio, order quantity and effort level of the salesperson are calculated through the principal-agent model, and the first equilibrium profits of the enterprise and the salesperson are obtained respectively.

[0008] Based on the first profit sharing ratio, the first order quantity of the enterprise's system decision and the salesperson's optimal effort decision when the enterprise directly uses the inventory replenishment system are calculated, and the second equilibrium profit of the enterprise and the salesperson are obtained respectively;

[0009] Under the condition of using the inventory replenishment system, the second profit sharing ratio of the salesperson is calculated through the principal-agent model, and the second order quantity of the enterprise's system decision and the salesperson's optimal effort decision are calculated based on the second profit sharing ratio, and the third equilibrium profit of the enterprise and the salesperson are obtained respectively;

[0010] The use of inventory replenishment strategy is judged by the first equilibrium profit of the enterprise and the salesperson, the second equilibrium profit of the enterprise and the salesperson, and the third equilibrium profit of the enterprise and the salesperson.

[0011] According to the above method of the embodiment of the present application, the following additional technical features may also be provided:

[0012] Furthermore, without using the inventory replenishment system, the first profit sharing ratio of the salesperson, the salesperson's order quantity and the salesperson's effort level are calculated through the principal-agent model to obtain the first equilibrium profits of the enterprise and the salesperson, including establishing the salesperson's first profit function, the formula is as follows:

[0013]

[0014] in, represents the first profit function of the salesperson, q represents the salesperson's order quantity, and e represents the salesperson's effort level. When e=0, it represents a low effort level, and when e=1, it represents a high effort level;

[0015] s represents the first profit sharing ratio, r represents the sales unit price of the product, c represents the wholesale unit price of the product, and C e represents the cost of high sales effort level, D N Represents the total demand for the product, and the formula is as follows:

[0016]

[0017] in, represents the estimated market demand of the enterprise and the salesperson, α0 represents the effectiveness of the salesperson's efforts, ∈~U[-a,a] represents the demand random term, where a represents the highest disturbance in demand;

[0018] exist The expected demand is calculated and simplified as follows:

[0019]

[0020] Let the first-order derivative be 0, and the optimal order quantity for the salesperson without using the inventory replenishment system is obtained as follows:

[0021]

[0022] Among them, q N* represents the salesperson's optimal order quantity without using an inventory replenishment system;

[0023] When e=1 and the salesperson's effort level is high, the salesperson's first profit function formula is as follows:

[0024]

[0025] When e = 0 and the salesperson's effort level is low, the salesperson's first profit function formula is as follows:

[0026]

[0027] When e N* =1, the formula for the salesperson's order quantity is as follows:

[0028]

[0029] Among them, e N* =1 indicates that the sales staff’s effort level is high without using the inventory replenishment system; s≥s N for e N* =1, and represents the value range of the first profit sharing ratio.

[0030] Furthermore, without using the inventory replenishment system, the first profit sharing ratio of the salesperson, the salesperson's order quantity and the salesperson's effort level are calculated through the principal-agent model to obtain the first equilibrium profits of the enterprise and the salesperson, including the establishment of the enterprise's first profit function, the formula is as follows:

[0031]

[0032] in, represents the first profit function of the enterprise, s represents the first profit sharing ratio;

[0033] represents the first constraint;

[0034] represents the second constraint;

[0035] E N* Substitute the salesperson's order quantity when =1 into the first profit function of the enterprise, and find the partial derivative of the first profit sharing ratio s. The formula is as follows:

[0036]

[0037] Get the first profit sharing ratio, the formula is as follows:

[0038]

[0039] Among them, s N* represents the optimal value of the first profit sharing ratio without using the inventory replenishment system;

[0040] Substituting the first profit sharing ratio into the salesperson's first profit function and the enterprise's first profit function, we can obtain the first equilibrium profit of the enterprise and the salesperson, respectively.

[0041] Among them, the first equilibrium profit formula of the enterprise is as follows:

[0042]

[0043] The first equilibrium profit formula for a salesperson is as follows:

[0044]

[0045] Furthermore, based on the first profit sharing ratio, the first order quantity of the system decision of the enterprise when directly using the inventory replenishment system and the optimal effort decision of the salesperson are calculated, and the second equilibrium profit of the enterprise and the salesperson are obtained respectively, including establishing the first optimization function of the inventory replenishment system, and the formula is as follows:

[0046]

[0047] in, represents the average effort level of salespeople, D Y Representing the total demand for a product when using the inventory replenishment system directly, the formula is as follows:

[0048] D Y =d0+α0e+∈

[0049] Among them, d0 represents the real market demand;

[0050] right Simplify and differentiate q, set the derivative to 0 and solve, and get the first order quantity of the system decision. The formula is as follows:

[0051]

[0052] Among them, q Y* Indicates the first order quantity decided by the system.

[0053] Further, the method includes calculating the profit difference of the salesperson when the salesperson's effort level is a high effort level and when the salesperson's effort level is a low effort level based on the first order quantity determined by the system and the optimal value of the first profit sharing ratio without using the inventory replenishment system, and the formula is as follows:

[0054]

[0055] Among them, q Y* represents the first order quantity decided by the system, s N* represents the optimal value of the first profit sharing ratio without using the inventory replenishment system;

[0056] e Y* represents the salesperson’s optimal effort decision, and the formula is as follows:

[0057]

[0058] Substituting the salesperson's optimal effort decision into the salesperson's first profit function and the enterprise's first profit function, we can obtain the second equilibrium profit of the enterprise and the salesperson, respectively.

[0059] Among them, the second equilibrium profit formula of the enterprise is as follows:

[0060]

[0061] The second equilibrium profit formula for a salesperson is as follows:

[0062]

[0063] Furthermore, in the case of using the inventory replenishment system, the second profit sharing ratio of the salesperson is calculated through the principal-agent model, and the second order quantity of the enterprise's system decision and the salesperson's optimal effort decision are calculated based on the second profit sharing ratio, and the third equilibrium profits of the enterprise and the salesperson are obtained respectively, including establishing the second optimization function of the inventory replenishment system, and the formula is as follows:

[0064]

[0065] in, represents the average effort level of salespeople, D S Expressing the total demand for a product when using an inventory replenishment system, the formula is as follows:

[0066]

[0067] Among them, d0 represents the real market demand;

[0068] right Simplify and take the derivative of q, set the derivative to 0 and solve, and get the second order quantity decided by the system. The formula is as follows:

[0069]

[0070] Among them, q S*Indicates the system decision on the second order quantity;

[0071] According to the system decision, the second order quantity q S* , we can get the salesperson's profit when the salesperson's effort level is high and when the salesperson's effort level is low.

[0072] Among them, the second profit function formula when the salesperson's effort level is a high effort level is as follows:

[0073]

[0074] The formula for the second profit function when the salesperson's effort level is low is as follows:

[0075]

[0076] When e S* =1 when the profit sharing ratio formula is as follows:

[0077]

[0078] Furthermore, the method includes establishing a second profit function of the enterprise, the formula of which is as follows:

[0079]

[0080] Substituting the salesperson's optimal effort decision into the company's second profit function and taking the partial derivative of the profit sharing ratio s, we get

[0081] The second profit sharing ratio formula is as follows:

[0082]

[0083] Substituting the salesperson's optimal effort decision into the salesperson's second profit function and the enterprise's second profit function, we can obtain the third equilibrium profit of the enterprise and the salesperson, respectively.

[0084] Among them, the third equilibrium profit formula of the enterprise is as follows:

[0085]

[0086] The third equilibrium profit formula for a salesperson is as follows:

[0087]

[0088] The use of inventory replenishment strategy is judged by the first equilibrium profit of the enterprise and the salesperson, the second equilibrium profit of the enterprise and the salesperson, and the third equilibrium profit of the enterprise and the salesperson, including:

[0089] when

[0090]

[0091] By comparing the second equilibrium profit and the third equilibrium profit, we can obtain the conditions for improving the enterprise profit and the conditions for improving the salesperson's profit.

[0092] Among them, the conditional formula for improving corporate profits is as follows:

[0093]

[0094] The profit from selling the product is positive, that is

[0095]

[0096] The conditional formula for increasing sales staff profits is as follows:

[0097]

[0098] when

[0099]

[0100] By comparing the second equilibrium profit and the third equilibrium profit, the condition for improving the enterprise's profit is that the profit brought by the sale of products is positive, that is,

[0101]

[0102] In a second aspect, an embodiment of the present application provides a device for determining an inventory replenishment strategy, including:

[0103] A first equilibrium module is configured to calculate the first profit sharing ratio of the salesperson, the salesperson's order quantity and the salesperson's effort level through a principal-agent model without using an inventory replenishment system, and obtain first equilibrium profits of the enterprise and the salesperson respectively;

[0104] A second equilibrium module is configured to calculate the first order quantity decided by the system when the enterprise directly uses the inventory replenishment system and the optimal effort decision of the salesperson based on the first profit sharing ratio, and obtain second equilibrium profits of the enterprise and the salesperson respectively;

[0105] A third equilibrium module is configured to calculate a second profit sharing ratio of the salesperson through a principal-agent model when the inventory replenishment system is used, calculate a system-determined second order quantity of the enterprise and an optimal effort decision of the salesperson based on the second profit sharing ratio, and obtain third equilibrium profits of the enterprise and the salesperson respectively;

[0106] The strategy judgment module is configured to judge the use of the inventory replenishment strategy based on the first equilibrium profit of the enterprise and the salesperson, the second equilibrium profit of the enterprise and the salesperson, and the third equilibrium profit of the enterprise and the salesperson.

[0107] In a third aspect, an embodiment of the present application provides a system for determining an inventory replenishment strategy. The system includes a processor and a memory. The memory stores a computer program. The computer program is loaded and executed by the processor to implement a method for determining an inventory replenishment strategy as provided in the first aspect of the embodiment of the present application.

[0108] In a fourth aspect, an embodiment of the present application provides a computer-readable storage medium, in which a computer program is stored. When the computer program is executed by a processor, it is used to implement a method for determining an inventory replenishment strategy as in the first aspect of the embodiment of the present application.

[0109] Compared with the prior art, the method for determining an inventory replenishment strategy provided by the embodiment of the present application has the following beneficial technical effects:

[0110] The embodiment of the present application calculates the optimal profit sharing ratio through the principal-agent model, which can ensure that the profit distribution between the enterprise and the sales personnel reaches the optimal state and improve the work enthusiasm of the sales personnel.

[0111] The embodiment of the present application combines the optimization function of the inventory replenishment system and the principal-agent model, so that enterprises can base their inventory replenishment strategies on more comprehensive and scientific data, reduce the subjectivity and blindness of decision-making, and improve the scientificity and accuracy of decision-making.

[0112] The embodiments of the present application compare the equilibrium profits under different situations, so that the enterprise can clearly understand under what conditions the use of the inventory replenishment system can maximize the overall profit.

[0113] The embodiments of the present application not only focus on maximizing the profit of the enterprise, but also take into account the interests of the sales staff. Through a reasonable profit distribution mechanism, it can further stimulate the enthusiasm and creativity of the sales staff and promote cooperation and win-win results between the enterprise and the sales staff.

[0114] The embodiments of the present application provide a systematic decision-making process and tools, so that enterprises can be more efficient and orderly when formulating inventory replenishment strategies, thereby improving the management efficiency of the enterprise and reducing management costs. BRIEF DESCRIPTION OF THE DRAWINGS

[0115] Figure 1 A schematic diagram showing a flow chart of a method for determining an inventory replenishment strategy according to an embodiment of the present application;

[0116] Figure 2A structural block diagram of a device for determining an inventory replenishment strategy according to an embodiment of the present application is shown;

[0117] Figure 3 A structural block diagram of a computer device according to an embodiment of the present application is shown. DETAILED DESCRIPTION

[0118] In order to make the above-mentioned purposes, features and advantages of the present application more obvious and easy to understand, the specific implementation methods of the present application are described in detail below in conjunction with the accompanying drawings. It is to be understood that the specific embodiments described herein are only used to explain the present application, rather than to limit the present application. It should also be noted that, for ease of description, only some structures related to the present application are shown in the accompanying drawings, rather than all structures. Based on the embodiments in the present application, all other embodiments obtained by ordinary technicians in this field without making creative work are within the scope of protection of this application.

[0119] The principal-agent model is an economic model used to analyze how a principal (such as a company) designs an optimal contract to motivate an agent (such as a salesperson) to act in the interests of the principal under conditions of information asymmetry and inconsistent interests.

[0120] An inventory replenishment system is an automated management tool that automatically calculates and triggers replenishment orders based on historical sales data, current inventory levels, forecasted demand, and replenishment strategies (such as the economic order quantity model EOQ). This system aims to optimize inventory levels and reduce the costs of out-of-stock and excess inventory.

[0121] It should be noted that the principal-agent model and the inventory replenishment system in the embodiments of the present application are well known to those skilled in the art, and the embodiments of the present application do not limit the use of specific principal-agent models and inventory replenishment systems.

[0122] like Figure 1 As shown, the embodiment of the present application provides a method for determining an inventory replenishment strategy, comprising the following steps:

[0123] Step 101, without using an inventory replenishment system, calculate the salesperson's first profit sharing ratio, the salesperson's order quantity and the salesperson's effort level through a principal-agent model to obtain the first equilibrium profits of the enterprise and the salesperson respectively.

[0124] First, a profit function needs to be constructed for the salesperson. This function usually includes the salesperson's fixed income, sales commission (based on sales volume or sales volume), and possible bonuses or penalties (based on the achievement of sales targets). In addition, the salesperson's level of effort will directly affect his sales performance, thereby indirectly affecting his profit.

[0125] Next, you need to build a profit function for the company. This function usually includes sales revenue, sales costs (including product costs, transportation costs, etc.), and profit sharing paid to sales staff. The goal of the company is to maximize its profits, and the sales staff's effort level will directly affect the company's sales revenue.

[0126] In the principal-agent model, the company needs to find an optimal profit-sharing ratio to motivate sales staff to exert the greatest level of effort. This usually involves optimizing the profit function of the sales staff and the profit function of the company at the same time. Specifically, the company will substitute the sales staff's optimal effort decision (i.e., effort level) into its profit function and find the partial derivative of the profit-sharing ratio to find the optimal solution that maximizes the profits of both parties.

[0127] After determining the optimal profit sharing ratio, the company can further calculate the order quantity and effort level of the sales staff under different circumstances. These calculations are usually based on factors such as market demand, product cost, sales price, and sales staff incentive mechanism.

[0128] Finally, by substituting the optimal profit sharing ratio, the salesperson's order quantity and effort level into the profit function of both parties, we can get the first equilibrium profit of the enterprise and the salesperson without using the inventory replenishment system. These equilibrium profits represent the optimal benefit distribution of both parties under given conditions.

[0129] The embodiment of the present application calculates the first profit sharing ratio of the salesperson, the salesperson's order quantity and the salesperson's effort level through the principal-agent model without using the inventory replenishment system, and obtains the first equilibrium profit of the enterprise and the salesperson respectively, including establishing the first profit function of the salesperson, the formula of which is as follows:

[0130]

[0131] in, represents the first profit function of the salesperson, q represents the salesperson's order quantity, and e represents the salesperson's effort level. When e=0, it represents a low effort level, and when e=1, it represents a high effort level;

[0132] s represents the first profit sharing ratio, r represents the sales unit price of the product, c represents the wholesale unit price of the product, and C e represents the cost of high sales effort level, D N Represents the total demand for the product, and the formula is as follows:

[0133]

[0134] in, represents the estimated market demand of the enterprise and the salesperson, α0 represents the effectiveness of the salesperson's efforts, ∈~U[-a,a] represents the demand random term, where a represents the highest disturbance in demand;

[0135] exist The expected demand is calculated and simplified as follows:

[0136]

[0137] Let the first-order derivative be 0, and the optimal order quantity for the salesperson without using the inventory replenishment system is obtained as follows:

[0138]

[0139] Among them, q N* represents the salesperson's optimal order quantity without using an inventory replenishment system;

[0140] When e=1 and the salesperson's effort level is high, the salesperson's first profit function formula is as follows:

[0141]

[0142] When e = 0 and the salesperson's effort level is low, the salesperson's first profit function formula is as follows:

[0143]

[0144] When e N* =1, the formula for the salesperson's order quantity is as follows:

[0145]

[0146] Among them, e N* =1 indicates that the sales staff’s effort level is high without using the inventory replenishment system; s≥s N for e N* =1, and represents the value range of the first profit sharing ratio.

[0147] Without using the inventory replenishment system, the principal-agent model is used to calculate the salesperson's first profit sharing ratio, the salesperson's order quantity, and the salesperson's effort level, and the first equilibrium profits of the enterprise and the salesperson are obtained, including the establishment of the enterprise's first profit function. The formula is as follows:

[0148]

[0149] in, represents the first profit function of the enterprise, s represents the first profit sharing ratio;

[0150] represents the first constraint;

[0151] represents the second constraint;

[0152] E N* Substitute the salesperson's order quantity when =1 into the first profit function of the enterprise, and find the partial derivative of the first profit sharing ratio s. The formula is as follows:

[0153]

[0154] Get the first profit sharing ratio, the formula is as follows:

[0155]

[0156] Among them, s N* represents the optimal value of the first profit sharing ratio without using the inventory replenishment system;

[0157] Substituting the first profit sharing ratio into the salesperson's first profit function and the enterprise's first profit function, we can obtain the first equilibrium profit of the enterprise and the salesperson, respectively.

[0158] Among them, the first equilibrium profit formula of the enterprise is as follows:

[0159]

[0160] The first equilibrium profit formula for a salesperson is as follows:

[0161]

[0162] Step 102, based on the first profit sharing ratio, calculate the first order quantity decided by the system when the enterprise directly uses the inventory replenishment system and the optimal effort decision of the salesperson, and obtain the second equilibrium profit of the enterprise and the salesperson respectively.

[0163] Based on the known first profit sharing ratio (which is calculated through the principal-agent model when the inventory replenishment system is not used), the company now needs to use the inventory replenishment system to determine the optimal order quantity.

[0164] The introduction of an inventory replenishment system may change the way salespeople work and their incentive structure. Salespeople may need to adapt to the new inventory management system and adjust their effort levels to maximize personal profits.

[0165] After determining the first order quantity and the salesperson's adjusted effort level for the system decision, the firm can calculate the second equilibrium profit for the firm and the salesperson, respectively. This usually involves substituting the new order quantity and effort level into their respective profit functions and taking into account the cost savings and efficiency gains brought about by the inventory replenishment system.

[0166] The embodiment of the present application calculates the first order quantity of the system decision when the enterprise directly uses the inventory replenishment system and the optimal effort decision of the salesperson based on the first profit sharing ratio, and obtains the second equilibrium profit of the enterprise and the salesperson respectively, including establishing a first optimization function of the inventory replenishment system, and the formula is as follows:

[0167]

[0168] in, represents the average effort level of salespeople, D Y Representing the total demand for a product when using the inventory replenishment system directly, the formula is as follows:

[0169] D Y =d0+α0e+∈

[0170] Among them, d0 represents the real market demand;

[0171] right Simplify and differentiate q, set the derivative to 0 and solve, and get the first order quantity of the system decision. The formula is as follows:

[0172]

[0173] Among them, q Y* Indicates the first order quantity decided by the system.

[0174] The method includes calculating the profit difference of the salesperson when the salesperson's effort level is a high effort level and when the salesperson's effort level is a low effort level according to the first order quantity decided by the system and the optimal value of the first profit sharing ratio without using the inventory replenishment system. The formula is as follows:

[0175]

[0176] Among them, q Y* represents the first order quantity decided by the system, s N* represents the optimal value of the first profit sharing ratio without using the inventory replenishment system;

[0177] e Y* represents the salesperson’s optimal effort decision, and the formula is as follows:

[0178]

[0179] Substituting the salesperson's optimal effort decision into the salesperson's first profit function and the enterprise's first profit function, we can obtain the second equilibrium profit of the enterprise and the salesperson, respectively.

[0180] Among them, the second equilibrium profit formula of the enterprise is as follows:

[0181]

[0182] The second equilibrium profit formula for a salesperson is as follows:

[0183]

[0184] Step 103, when using the inventory replenishment system, the second profit sharing ratio of the salesperson is calculated through the principal-agent model, and based on the second profit sharing ratio, the second order quantity of the enterprise's system decision and the salesperson's optimal effort decision are calculated to obtain the third equilibrium profit of the enterprise and the salesperson respectively.

[0185] After determining the second profit sharing ratio, the company can use the inventory replenishment system to calculate the second order quantity.

[0186] After determining the second profit-sharing ratio and the system deciding the second order quantity, salespeople may adjust their effort levels based on the new incentive mechanism and market demand.

[0187] Finally, after determining the second profit sharing ratio, the system decision second order quantity and the salesperson's adjusted effort level, the enterprise can calculate the third equilibrium profit of the enterprise and the salesperson respectively.

[0188] In the embodiment of the present application, when using the inventory replenishment system, the second profit sharing ratio of the salesperson is calculated through the principal-agent model, and the second order quantity of the enterprise's system decision and the salesperson's optimal effort decision are calculated based on the second profit sharing ratio, and the third equilibrium profit of the enterprise and the salesperson are obtained respectively, including establishing a second optimization function of the inventory replenishment system, and the formula is as follows:

[0189]

[0190] in, represents the average effort level of salespeople, D S Expressing the total demand for a product when using an inventory replenishment system, the formula is as follows:

[0191]

[0192] Among them, d0 represents the real market demand;

[0193] right Simplify and take the derivative of q, set the derivative to 0 and solve, and get the second order quantity decided by the system. The formula is as follows:

[0194]

[0195] Among them, q S* Indicates the system decision on the second order quantity;

[0196] According to the system decision, the second order quantity q S* , we can get the salesperson's profit when the salesperson's effort level is high and when the salesperson's effort level is low.

[0197] Among them, the second profit function formula when the salesperson's effort level is a high effort level is as follows:

[0198]

[0199] The formula for the second profit function when the salesperson's effort level is low is as follows:

[0200]

[0201] When e S* =1 when the profit sharing ratio formula is as follows:

[0202]

[0203] Furthermore, the method includes establishing a second profit function of the enterprise, the formula of which is as follows:

[0204]

[0205] Substituting the salesperson's optimal effort decision into the company's second profit function and taking the partial derivative of the profit sharing ratio s, we get

[0206]

[0207] The second profit sharing ratio formula is as follows:

[0208]

[0209] Substituting the salesperson's optimal effort decision into the salesperson's second profit function and the enterprise's second profit function, we can obtain the third equilibrium profit of the enterprise and the salesperson, respectively.

[0210] Among them, the third equilibrium profit formula of the enterprise is as follows:

[0211]

[0212] The third equilibrium profit formula for a salesperson is as follows:

[0213]

[0214] Step 104, determining the use of the inventory replenishment strategy based on the first equilibrium profit of the enterprise and the salesperson, the second equilibrium profit of the enterprise and the salesperson, and the third equilibrium profit of the enterprise and the salesperson.

[0215] When judging whether the use of inventory replenishment strategy is effective, the analysis is conducted by comparing the equilibrium profits of enterprises under different scenarios. The "first equilibrium profit", "second equilibrium profit" and "third equilibrium profit" mentioned in the embodiment of the present application respectively represent the equilibrium profits of enterprises under three situations: not using inventory replenishment system, using inventory replenishment system but based on the original profit sharing ratio, and using inventory replenishment system and recalculating the optimal profit sharing ratio.

[0216] First equilibrium profit (without inventory replenishment system): In the absence of an inventory replenishment system, the company relies on traditional inventory management methods, such as regular inventory counting and manual ordering. At this time, sales personnel place orders based on market demand and their own judgment, and their effort level may be affected by many factors, such as personal incentives and market environment. The company calculates the first equilibrium profit based on the sales personnel's order quantity and effort level, as well as market feedback (such as sales, return rate, etc.). This profit level reflects the company's operating results without the support of an inventory replenishment system.

[0217] Second equilibrium profit (using inventory replenishment system but based on the original profit sharing ratio): The company has introduced an inventory replenishment system but has not yet adjusted the profit sharing ratio with sales staff. At this point, sales staff may need to place orders based on the recommendations of the inventory replenishment system, but their effort level may still be affected by the original incentive mechanism. As a result of the introduction of the inventory replenishment system, the company may be able to more accurately forecast demand, reduce out-of-stock and excess inventory, thereby reducing inventory costs and improving sales efficiency. However, if the profit sharing ratio is not adjusted accordingly, the enthusiasm of sales staff may be affected because they may feel that the new system does not bring them additional benefits. Therefore, the second equilibrium profit may be higher than the first equilibrium profit, but the increase may not be as expected.

[0218] Third equilibrium profit (using the inventory replenishment system and recalculating the optimal profit sharing ratio): While introducing the inventory replenishment system, the company recalculates the optimal profit sharing ratio with the sales staff through the principal-agent model, which is designed to better motivate the sales staff to exert their best efforts under the new system. By re-adjusting the profit sharing ratio, the company can ensure that the sales staff's effort level under the new system is fully rewarded. In this way, the sales staff is more likely to order according to the recommendations of the inventory replenishment system and put in more effort to improve sales performance. Therefore, the third equilibrium profit is expected to be a greater improvement than the second equilibrium profit because it takes advantage of both the efficiency of the inventory replenishment system and the motivation of the sales staff.

[0219] However, this does not mean that the third equilibrium profit is necessarily the optimal profit. The embodiment of the present application determines the use of the inventory replenishment strategy through specific calculations.

[0220] Specifically, when

[0221]

[0222] By comparing the second equilibrium profit and the third equilibrium profit, we can obtain the conditions for improving the enterprise profit and the conditions for improving the salesperson's profit.

[0223] Among them, the conditional formula for improving corporate profits is as follows:

[0224]

[0225] The profit from selling the product is positive, that is

[0226]

[0227] The conditional formula for increasing sales staff profits is as follows:

[0228]

[0229] when

[0230]

[0231] By comparing the second equilibrium profit and the third equilibrium profit, the condition for improving the enterprise's profit is that the profit brought by the sale of products is positive, that is,

[0232]

[0233] The embodiment of the present application takes the data of a certain enterprise as an example, and calculates the weighted average price of each product based on historical transaction data. The formula is as follows:

[0234]

[0235] Taking product OXL0080002 as an example, r = 13.69; based on the purchase data and inventory data, the weighted average purchase price of each product can be calculated. The purchase price of product OXL0080002 is c = 6.32; through historical transaction data, the mean and variance of product demand are estimated. Product OXL0080002

[0236]

[0237] Therefore, if the salesperson's historical average effort level If the effectiveness of effort α0=1, then the market demand d0=0.36 and the demand disturbance a≈0.39.

[0238] If the disutility of the salesperson's efforts is C e =0.1, it is judged that the method of the embodiment of the present application meets the conditions that are more favorable to enterprises and sales personnel, that is,

[0239]

[0240] Profit sharing ratio s = 0.03, sales staff effort level e = 1, inventory replenishment system order quantity q = 0.64, then the company's equilibrium profit is π f =3.63, the salesperson’s equilibrium profit π sp =0.03.

[0241] When the parameter value is r=1,c=0.8,d0=1,α0=0.5,a=1,C e =0.1, it is judged that the method of the embodiment of the present application does not meet the condition that is more favorable to the enterprise, but meets the condition that is more favorable to the salesperson, that is,

[0242]

[0243] Profit sharing ratio s = 1.78, sales staff effort level e = 1, inventory replenishment system order quantity q = 0.48, then the company's equilibrium profit π f =-0.07, the salesperson’s equilibrium profit π sp =0.07.

[0244] When the parameter value is r=1,c=0.8,d0=1,α0=0.5,a=1,C e =0.1, it is judged that the method of the embodiment of the present application meets the condition that it is more favorable to the enterprise, but does not meet the condition that it is more favorable to the salesperson, that is,

[0245] Profit sharing ratio s = 0.76, sales staff effort level e = 1, inventory replenishment system order quantity q = 0.78, then the company's equilibrium profit π f =0.03, the salesperson’s equilibrium profit π sp =0.004.

[0246] When the parameter value is r=1,c=0.8,d0=1,α0=0.5,a=1,C e =0.1, it is judged that the method of the embodiment of the present application does not meet the conditions that are more favorable to enterprises and sales personnel, that is,

[0247]

[0248] Therefore, enterprises can directly use the inventory replenishment system.

[0249] like Figure 2 As shown, the embodiment of the present application provides a device for determining an inventory replenishment strategy, including a first balancing module 201, a second balancing module 202, a third balancing module 203 and a strategy determination module 204, wherein:

[0250] The first equilibrium module 201 is configured to calculate the first profit sharing ratio of the salesperson, the salesperson's order quantity and the salesperson's effort level through a principal-agent model without using an inventory replenishment system, and obtain the first equilibrium profits of the enterprise and the salesperson respectively;

[0251] The second equilibrium module 202 is configured to calculate the first order quantity decided by the system when the enterprise directly uses the inventory replenishment system and the optimal effort decision of the salesperson based on the first profit sharing ratio, and obtain the second equilibrium profit of the enterprise and the salesperson respectively;

[0252] The third equilibrium module 203 is configured to calculate the second profit sharing ratio of the salesperson through the principal-agent model when the inventory replenishment system is used, calculate the system-determined second order quantity of the enterprise and the optimal effort decision of the salesperson based on the second profit sharing ratio, and obtain the third equilibrium profits of the enterprise and the salesperson respectively;

[0253] The strategy judgment module 204 is configured to judge the use of the inventory replenishment strategy based on the first equilibrium profit of the enterprise and the salesperson, the second equilibrium profit of the enterprise and the salesperson, and the third equilibrium profit of the enterprise and the salesperson.

[0254] A determination device for an inventory replenishment strategy in an embodiment of the present application may be a computer device, or a component in a computer device, such as an integrated circuit or a chip. The computer device may be a terminal, or may be a device other than a terminal. Exemplarily, the computer device may be a mobile phone, a tablet computer, a laptop computer, a PDA, a vehicle-mounted computer device, a mobile Internet device (Mobile Internet Device, MID), an ultra-mobile personal computer (Ultra-Mobile Personal Computer, UMPC), a netbook, or a personal digital assistant (Personal Digital Assistant, PDA), etc. It may also be a server, a network attached storage (Network Attached Storage, NAS), a personal computer (Personal Computer, PC), etc., which is not specifically limited in the embodiment of the present application.

[0255] The present invention provides a method for determining an inventory replenishment strategy that can be implemented Figure 1 To avoid repetition, the various processes implemented in the embodiment of the method for determining an inventory replenishment strategy are not described here.

[0256] The present application also provides a computer device, such as Figure 3 As shown, the computer device includes a processor 301 and a memory 302. The memory 302 stores programs or instructions that can be executed on the processor 301. When the program or instruction is executed by the processor 301, each step of the above-mentioned method for determining an inventory replenishment strategy is implemented, and the same technical effect can be achieved. To avoid repetition, it will not be repeated here.

[0257] It should be noted that the computer device in the embodiment of the present application includes the above-mentioned mobile computer device and non-mobile computer device.

[0258] The memory 302 can be used to store software programs and various data. The memory 302 may mainly include a first storage area for storing programs or instructions and a second storage area for storing data, wherein the first storage area may store an operating system, an application program or instructions required for at least one function (such as a sound playback function, an image playback function, etc.), etc. In addition, the memory 302 may include a volatile memory or a non-volatile memory, or the memory 302 may include both volatile and non-volatile memories. Among them, the non-volatile memory may be a read-only memory (ROM), a programmable read-only memory (PROM), an erasable programmable read-only memory (EPROM), an electrically erasable programmable read-only memory (EEPROM), or a flash memory. The volatile memory may be a random access memory (RAM), a static random access memory (SRAM), a dynamic random access memory (DRAM), a synchronous dynamic random access memory (SDRAM), a double data rate synchronous dynamic random access memory (DDRSDRAM), an enhanced synchronous dynamic random access memory (ESDRAM), a synchronous link dynamic random access memory (SLDRAM) and a direct memory bus random access memory (DRRAM). The memory 302 of the embodiment of the present application includes but is not limited to these and any other suitable types of memory.

[0259] The processor 301 may include one or more processing units; optionally, the processor 301 integrates an application processor and a modem processor, wherein the application processor mainly processes operations related to an operating system, a user interface, and application programs, and the modem processor mainly processes wireless communication signals, such as a baseband processor. It is understandable that the modem processor may not be integrated into the processor 301.

[0260] An embodiment of the present application also provides a readable storage medium, on which a program or instruction is stored. When the program or instruction is executed by a processor, each process of the above-mentioned inventory replenishment strategy determination method embodiment is implemented, and the same technical effect can be achieved. To avoid repetition, it will not be repeated here.

[0261] An embodiment of the present application also provides a chip, which includes a processor and a communication interface, the communication interface and the processor are coupled, and the processor is used to run programs or instructions to implement the various processes of the above-mentioned inventory replenishment strategy judgment method embodiment, and can achieve the same technical effect. To avoid repetition, it will not be repeated here.

[0262] It should be understood that the chip mentioned in the embodiments of the present application can also be called a system-level chip, a system chip, a chip system or a system-on-chip chip, etc.

[0263] An embodiment of the present application also provides a computer program product, which is stored in a storage medium. The program product is executed by at least one processor to implement the various processes of the above-mentioned inventory replenishment strategy determination method embodiment, and can achieve the same technical effect. To avoid repetition, it will not be repeated here.

Claims

1. A method for determining an inventory replenishment strategy, characterized in that: The method comprises: Without using the inventory replenishment system, the first profit sharing ratio, order quantity and effort level of the salesperson are calculated through the principal-agent model, and the first equilibrium profits of the enterprise and the salesperson are obtained respectively. Based on the first profit sharing ratio, the first order quantity of the enterprise's system decision and the salesperson's optimal effort decision when the enterprise directly uses the inventory replenishment system are calculated to obtain the second equilibrium profits of the enterprise and the salesperson respectively; In the case of using the inventory replenishment system, the second profit sharing ratio of the salesperson is calculated through the principal-agent model, and based on the second profit sharing ratio, the system decision second order quantity of the enterprise and the optimal effort decision of the salesperson are calculated to obtain the third equilibrium profit of the enterprise and the salesperson respectively; The use of the inventory replenishment strategy is determined by the first equilibrium profit of the enterprise and the salesperson, the second equilibrium profit of the enterprise and the salesperson, and the third equilibrium profit of the enterprise and the salesperson.

2. A method for determining an inventory replenishment strategy according to claim 1, characterized in that: The first profit sharing ratio, order quantity and effort level of the salesperson are calculated by the principal-agent model without using the inventory replenishment system, and the first equilibrium profits of the enterprise and the salesperson are obtained respectively, including establishing the first profit function of the salesperson, the formula of which is as follows: in, represents the first profit function of the salesperson, q represents the salesperson's order quantity, e represents the salesperson's effort level, when e = 0, it represents a low effort level, when e = 1, it represents a high effort level; s represents the first profit sharing ratio, r represents the sales unit price of the product, c represents the wholesale unit price of the product, C e represents the cost of high sales effort level, D N Represents the total demand for the product, and the formula is as follows: in, represents the estimated market demand of the enterprise and the salesperson, α0 represents the effectiveness of the salesperson's efforts, ∈~U[-a,a] represents the demand random term, where a represents the highest disturbance in demand; exist The expected demand is calculated and simplified as follows: Let the first-order derivative be 0, and the optimal order quantity for the salesperson without using the inventory replenishment system is obtained as follows: in, represents the optimal order quantity for the salesperson without using an inventory replenishment system; When e=1 and the salesperson's effort level is high, the salesperson's first profit function formula is as follows: When e = 0 and the salesperson's effort level is low, the salesperson's first profit function formula is as follows: when When , the formula for the salesperson's order quantity is as follows: in, Indicates that the sales staff’s effort level is high without using the inventory replenishment system; s≥s N for constraints and represents the value range of the first profit sharing ratio.

3. A method for determining an inventory replenishment strategy as claimed in claim 2, characterized in that: The first profit sharing ratio, order quantity and effort level of the salesperson are calculated by the principal-agent model without using the inventory replenishment system, and the first equilibrium profits of the enterprise and the salesperson are obtained respectively, including establishing the first profit function of the enterprise, and the formula is as follows: in, represents the first profit function of the enterprise, s represents the first profit sharing ratio; represents the first constraint; represents the second constraint; Will Substitute the salesperson's order quantity at time into the first profit function of the enterprise, and find the partial derivative of the first profit sharing ratio s. The formula is as follows: Get the first profit sharing ratio, the formula is as follows: in, represents the optimal value of the first profit sharing ratio without using the inventory replenishment system; Substituting the first profit sharing ratio into the first profit function of the salesperson and the first profit function of the enterprise, the first equilibrium profits of the enterprise and the salesperson are obtained respectively. Among them, the first equilibrium profit formula of the enterprise is as follows: The first equilibrium profit formula for a salesperson is as follows:

4. A method for determining an inventory replenishment strategy as claimed in claim 3, characterized in that: The first order quantity and the optimal effort decision of the salesperson when the enterprise directly uses the inventory replenishment system are calculated based on the first profit sharing ratio to obtain the second equilibrium profit of the enterprise and the salesperson, respectively, including establishing a first optimization function of the inventory replenishment system, the formula of which is as follows: in, represents the average effort level of salespeople, D Y Representing the total demand for a product when using the inventory replenishment system directly, the formula is as follows: D Y =d0+α0e+∈ Among them, d0 represents the real market demand; right Simplify and differentiate q, set the derivative to 0 and solve, and get the first order quantity of the system decision. The formula is as follows: in, Indicates the first order quantity decided by the system.

5. A method for determining an inventory replenishment strategy as claimed in claim 4, characterized in that: The method includes calculating the profit difference of the salesperson when the salesperson's effort level is a high effort level and when the salesperson's effort level is a low effort level according to the first order quantity determined by the system and the optimal value of the first profit sharing ratio without using the inventory replenishment system, and the formula is as follows: in, represents the first order quantity decided by the system, represents the optimal value of the first profit sharing ratio without using the inventory replenishment system; represents the salesperson’s optimal effort decision, and the formula is as follows: Substituting the salesperson's optimal effort decision into the salesperson's first profit function and the enterprise's first profit function, the second equilibrium profit of the enterprise and the salesperson are obtained respectively. Among them, the second equilibrium profit formula of the enterprise is as follows: The second equilibrium profit formula for a salesperson is as follows:

6. A method for determining an inventory replenishment strategy as claimed in claim 5, characterized in that: The second profit sharing ratio of the salesperson is calculated by the principal-agent model when the inventory replenishment system is used, and the second order quantity of the enterprise's system decision and the salesperson's optimal effort decision are calculated based on the second profit sharing ratio to obtain the third equilibrium profit of the enterprise and the salesperson, respectively, including establishing a second optimization function of the inventory replenishment system, the formula of which is as follows: in, represents the average effort level of salespeople, D S Expressing the total demand for a product when using an inventory replenishment system, the formula is as follows: Among them, d0 represents the real market demand; right Simplify and take the derivative of q, set the derivative to 0 and solve, and get the second order quantity decided by the system. The formula is as follows: in, Indicates the system decision on the second order quantity; Determine the second order quantity according to the system Get the salesperson's profit when the salesperson's effort level is high and when the salesperson's effort level is low. Among them, the second profit function formula when the salesperson's effort level is a high effort level is as follows: The formula for the second profit function when the salesperson's effort level is low is as follows: when The profit sharing ratio formula is as follows:

7. A method for determining an inventory replenishment strategy according to claim 6, characterized in that: The method includes establishing a second profit function of the enterprise, the formula of which is as follows: Substituting the salesperson's optimal effort decision into the second profit function of the enterprise and taking the partial derivative of the profit sharing ratio s, we get: The second profit sharing ratio formula is as follows: Substituting the salesperson's optimal effort decision into the salesperson's second profit function and the enterprise's second profit function, we can obtain the third equilibrium profit of the enterprise and the salesperson, respectively. Among them, the third equilibrium profit formula of the enterprise is as follows: The third equilibrium profit formula for a salesperson is as follows: The use of the inventory replenishment strategy determined by the first equilibrium profit of the enterprise and the salesperson, the second equilibrium profit of the enterprise and the salesperson, and the third equilibrium profit of the enterprise and the salesperson includes: when By comparing the second equilibrium profit and the third equilibrium profit, we can obtain the conditions for improving the enterprise profit and the conditions for improving the salesperson's profit. Among them, the conditional formula for improving corporate profits is as follows: The profit from selling the product is positive, that is The conditional formula for increasing sales staff profits is as follows: when By comparing the second equilibrium profit and the third equilibrium profit, the condition for increasing the enterprise's profit is that the profit from selling products is positive, that is, 8. A device for determining inventory replenishment strategy, characterized in that: The device comprises: A first equilibrium module is configured to calculate the first profit sharing ratio of the salesperson, the salesperson's order quantity and the salesperson's effort level through a principal-agent model without using an inventory replenishment system, and obtain first equilibrium profits of the enterprise and the salesperson respectively; A second equilibrium module is configured to calculate the first order quantity decided by the system when the enterprise directly uses the inventory replenishment system and the optimal effort decision of the salesperson based on the first profit sharing ratio, and obtain the second equilibrium profit of the enterprise and the salesperson respectively; A third equilibrium module is configured to calculate a second profit sharing ratio of the salesperson through a principal-agent model when the inventory replenishment system is used, calculate a system-determined second order quantity of the enterprise and an optimal effort decision of the salesperson based on the second profit sharing ratio, and obtain third equilibrium profits of the enterprise and the salesperson respectively; The strategy judgment module is configured to judge the use of the inventory replenishment strategy based on the first equilibrium profit of the enterprise and the salesperson, the second equilibrium profit of the enterprise and the salesperson, and the third equilibrium profit of the enterprise and the salesperson.

9. A system for determining inventory replenishment strategy, the system comprising a processor and a memory, wherein a computer program is stored in the memory, characterized in that: The computer program is loaded and executed by the processor to implement a method for determining an inventory replenishment strategy as described in any one of claims 1 to 7.

10. A computer-readable storage medium, wherein a computer program is stored in the storage medium, characterized in that: When the computer program is executed by a processor, it is used to implement a method for determining an inventory replenishment strategy as described in any one of claims 1 to 7.

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