Inventory calculation and environmental assessment method and system suitable for GIS-LCA

Abstract

The present application relates to a kind of list calculation and environmental assessment method and system suitable for GIS-LCA, comprising the following steps: based on the process data of target product, obtain location space set S;For each space position v in location space set S, construct its technical field matrix A and environmental intervention matrix, and based on the list G of location space set S is calculated;Location space set S is converted into spatial position matrix L, the obtained list G is converted, and the list D suitable for GIS-LCA is obtained;The list D suitable for GIS-LCA obtained is used as the background data of target product, and the environment of target product is evaluated using GIS-LCA.The present application can be widely applied in LCA evaluation field.

Description

TECHNICAL FIELD

[0001] The present application relates to the field of LCA (Life Cycle Assessment), GIS-LCA (Geographic Information System-Life Cycle Assessment), regionalized LCA, and particularly relates to a list calculation and environmental assessment method and system suitable for GIS-LCA. BACKGROUND

[0002] Life cycle assessment can be traced back to environmental profile analysis in the 1960s, and the definition of the International Organization for Standardization is "a tool for evaluating the environmental impact of a product from raw materials to production, transportation, use and final disposal stage", and the product is evaluated according to the environmental impact category or the subset of the production stage, and the purpose is to compare and identify the part that can be optimized most in the life cycle when performing life cycle assessment of a product or service.

[0003] According to the definition of ISO 14040, life cycle assessment is a method for evaluating environmental factors and potential environmental impacts related to a product or service, which is performed by compiling inventory records of inputs and outputs related to a system, evaluating potential environmental impacts related to these inputs and outputs, and explaining inventory records and environmental impact analysis results according to the goal of life cycle assessment research. Life cycle assessment provides a strict framework including goal and scope definition, inventory analysis, impact assessment and result interpretation. Among them, inventory analysis is the core link of life cycle assessment, which compiles data to quantify the resource use and emissions of each process in the specified system.

[0004] The existing LCA full life cycle inventory (LCI) calculation method is mainly based on the matrix camp, and with the proposal of regionalized LCA, the inventory calculation method of regionalized LCA is also proposed, but neither the inventory calculation method of traditional LCA nor the inventory calculation method of regionalized LCA can meet the inventory calculation of GIS-LCA, not to mention the accuracy of GIS-LCA. SUMMARY

[0005] In view of the above problems, the purpose of the present application is to provide a list calculation and environmental assessment method and system suitable for GIS-LCA, so as to overcome the situation that the inventory calculation method of traditional LCA and regionalized LCA cannot meet GIS-LCA.

[0006] To achieve the above purpose, the present application adopts the following technical scheme:

[0007] In a first aspect, the present application provides a list calculation and environmental assessment method suitable for GIS-LCA, comprising the following steps:

[0008] Based on the process data of the target product, a location space set S is obtained;

[0009] For the location space set S, a technical field matrix A and an environmental intervention matrix B are constructed, and a list G based on the location space set S is calculated;

[0010] The location space set S is converted into a location space matrix L, and the obtained list G is converted to obtain a list D suitable for GIS-LCA;

[0011] The obtained list D suitable for GIS-LCA is taken as the background data of the target product, and the GIS-LCA is used to perform environmental assessment on the target product.

[0012] Further, the construction of the technical field matrix A and the environmental intervention matrix B for the location space set S, and the calculation of the list G based on the location space set S, include:

[0013] For the location space set S, a technical field matrix A and a demand vector F are constructed, and a supply vector s is calculated;

[0014] For the location space set S, an environmental intervention matrix B is constructed;

[0015] Based on the supply vector s and the environmental intervention matrix B, the list G based on the location space set S is calculated.

[0016] Further, the construction of the technical field matrix A and the demand vector F for the location space set S, and the calculation of the supply vector s, include:

[0017] For each space location v in the location space set S, a technical field sub-matrix a and a sub-demand vector f of each space location v are constructed;

[0018] The technical field sub-matrix a and the sub-demand vector f of all space locations v are summarized to obtain the technical field matrix A and the demand vector F of the location space set S;

[0019] Based on the technical field matrix A and the demand vector F, the supply vector s is calculated.

[0020] Further, the list G is:

[0021] G=Bs=BA -1 F.

[0022] Further, the conversion of the location space set S into the location space matrix L, and the conversion of the obtained list G to obtain the list D suitable for GIS-LCA, include:

[0023] The spatial location relationship of the location space set S is converted into a spatial location matrix L;

[0024] The list G based on the location space set S is divided by location to obtain a location-related matrix G';

[0025] Based on the spatial location matrix L and the matrix G', a list D suitable for GIS-LCA is calculated.

[0026] Further, the spatial location relationship of the location space set S is converted into the spatial location matrix L, including:

[0027] Based on the spatial location relationship between objects in the location space set S, a location relationship matrix is obtained.

[0028] The location relationship matrix is converted into the location space matrix L.

[0029] Further, the list D suitable for GIS-LCA is represented as:

[0030] D = LG'

[0031] Wherein, L is the location space matrix, and G' is the location-related matrix.

[0032] In a second aspect, the present application provides a list calculation and environmental assessment system suitable for GIS-LCA, comprising:

[0033] A process data processing module is configured to obtain a location space set S based on process data of a target product.

[0034] A first list calculation module is configured to construct a technical field matrix A and an environmental intervention matrix for the location space set S, and to calculate a list G based on the location space set S.

[0035] A second list calculation module is configured to convert the location space set S into a location space matrix L, and to convert the obtained list G to obtain a list D suitable for GIS-LCA.

[0036] An assessment module is configured to use the obtained list D suitable for GIS-LCA as background data of the target product, and to perform environmental assessment on the target product by using GIS-LCA.

[0037] In a third aspect, the present application provides a computer-readable storage medium storing one or more programs, the one or more programs including instructions which, when executed by a computing device, cause the computing device to perform any of the methods.

[0038] In a fourth aspect, the application provides a computing device comprising: one or more processors, 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 one or more programs comprise instructions for performing any of the methods.

[0039] The application has the following advantages: the application combines GIS with the list calculated based on process data by using the spatial position relationship of GIS, and overcomes the problem that the list (LCI) calculation method of traditional LCA and regionalized LCA is not applicable to GIS-LCA. The method is also applicable to the list (LCI) calculation of traditional LCA and regionalized LCA, and has a wide application range.

[0040] Therefore, the application can be widely applied to the field of LCA evaluation. BRIEF DESCRIPTION OF DRAWINGS

[0041] Various other advantages and benefits will become apparent to those of ordinary skill in the art upon reading the following detailed description of the preferred embodiments. The accompanying drawings are included to provide a description of the preferred embodiments and are not intended to limit the scope of the application. Throughout the drawings, the same reference designates the same elements. In the drawings:

[0042] Figure 1 A flowchart of the LCI calculation method suitable for GIS-LCA provided by the embodiment of the application is shown. DETAILED DESCRIPTION

[0043] To make the objectives, technical solutions and advantages of the embodiments of the application clearer, the technical solutions of the embodiments of the application will be described below in connection with the drawings of the embodiments of the application. Obviously, the described embodiments are only a part of the embodiments of the application, rather than all the embodiments of the application. Based on the described embodiments of the application, all other embodiments obtained by those of ordinary skill in the art belong to the scope of protection of the application.

[0044] It should be noted that the terms used herein are only intended to describe specific embodiments and are not intended to limit the exemplary embodiments according to the present application. As used herein, the singular form is intended to include the plural form, unless the context clearly indicates otherwise, and it should also be understood that the terms "comprise" and / or "include" as used in the specification indicate the presence of features, steps, operations, devices, components and / or combinations thereof.

[0045] In some embodiments of the present application, a list calculation and environmental assessment method suitable for GIS-LCA is provided. First, a location space set is extracted from process data of a target product, and a list based on the location space set is calculated. Then, the location space set is converted into a spatial location matrix, and the list based on the location space set is converted into a list suitable for GIS-LCA, which is used as background data of GIS-LCA to perform environmental assessment on the target product.

[0046] Correspondingly, in some other embodiments of the present application, a list calculation and environmental assessment system, device and storage medium suitable for GIS-LCA are provided.

[0047] Embodiment 1

[0048] As shown in Figure 1 , the present embodiment provides a list calculation and environmental assessment method suitable for GIS-LCA, which comprises the following steps:

[0049] (1) Based on process data of a target product, a location space set S is obtained;

[0050] (2) For the location space set S, a technical field matrix A and an environmental intervention matrix B are constructed, and a list G based on the location space set S is calculated;

[0051] (3) The location space set S is converted into a location space matrix L, and the obtained list G is converted to obtain a list D suitable for GIS-LCA;

[0052] (4) The obtained list D suitable for GIS-LCA is used as background data of the target product, and GIS-LCA is used to perform environmental assessment or green packaging on the target product.

[0053] Preferably, in the above step (1), the process data of the target product refers to a human activity (process) and its exchange with the environment and other human activities, which consists of a set of inputs and a set of outputs; it can also be called a unit process (UPR). For example, the power generation process, which converts a series of fuel / raw material input data into electricity and its corresponding emissions (SO2 and other substances) that affect the environment, is a process data. The location where the process data occurs is clear when the data is collected, which represents a specific site or represents the location of a province, region, country or the world.

[0054] The position space set S based on the process data of the target product refers to obtaining the position space set S according to the geographical space position where the process data of the target product occurs, wherein the object elements inside the position space set S can have a containing relationship, for example, Shandong and Qingdao, Shandong contains Qingdao, but Shandong and Qingdao are still allowed to exist in the geographical space position at the same time; they can also be the same geographical space position relationship, such as Shandong, Shandong province, which obviously refer to the same position, but such cases are also allowed to exist in the position space set. Wherein, the geographical space position of all process data sets can be geographical coordinates, or can be a name with geographical position identifier, such as Shandong.

[0055] Preferably, the above step (2) comprises the following steps:

[0056] (2.1) For the position space set S, construct its technical field matrix A and demand vector F, and calculate the supply vector s;

[0057] (2.2) For the position space set S, construct its environmental intervention matrix B;

[0058] (2.3) Based on the supply vector s and the environmental intervention matrix B, the inventory G based on the position space set S is calculated.

[0059] Preferably, the above step (2.1) comprises the following steps:

[0060] (2.1.1) For each space position v in the position space set S, construct the technical field sub-matrix a and the sub-demand vector f corresponding to each space position v.

[0061] (2.1.2) The technical field sub-matrix a and the sub-demand vector f of all space positions v are summarized to obtain the technical field matrix A and the demand vector F of the position space set S.

[0062] (2.1.3) Based on the technical field matrix A and the demand vector F, the supply vector s is calculated.

[0063] Preferably, in the above step (2.1.1), the technical field sub-matrix a of each space position v indicates that a certain product or service has undergone technical input, and the field it is in is called the technical field. Wherein, the size of the technical field sub-matrix a is m*n, wherein m is the number of products or services, and n is the number of processes.

[0064] The technical field sub-matrix a of each space position v is shown in Table 1 as follows (the specific values in the table are determined according to the actual situation).

[0065] Table 1 Technical field sub-matrix a

[0066] v1 - process 1 v1 - process 2 v1 - process 3 .... v1 - product 1 v1 - product 2 v1 - product 3 ...

[0067] The sub-demand vector f is the aggregate input required to determine any desired output. It lists the quantity of each output that is expected to be aggregated across all processes in the lifecycle, including the complete supply chain, and its length is m. The individual spatial sub-demand vectors f are shown in Table 2 below (specific values ​​are determined based on actual conditions).

[0068] Table 2 Sub-demand vector f

[0069] demand v1 - product 1 0 v1 - product 2 0 v1 - product 3 1 .....

[0070] Furthermore, in the above step (2.1.2), the technical field matrix A is composed of the technical field sub-matrices a corresponding to all spatial positions v, and the positions of the technical field sub-matrices a in the technical field matrix A correspond to the positions of the position space set S, that is, the position relationship is as follows:

[0071]

[0072] The dimension of the technology field matrix A is (ns*m)x(ns*m), where m is the number of products or services, n is the number of processes, and s is the number of elements in the location space set S; v i is the spatial position, ai is the spatial position v i The corresponding technical field sub-matrix. Since all the calculated processes are single products or the processes after allocation and other processing (which meet the assumptions) are still single reference product processes, the final matrix is ​​a square matrix.

[0073] The demand vector F is composed of sub-demand vectors f, and the position of the sub-demand vector f in the demand vector F corresponds to the position of the position space set S, that is, the position relationship is as follows:

[0074]

[0075] The dimension of the demand vector F is (s*m), where s is the number of elements in the location space set S, as shown in Table 3 below: (The data in the table is determined based on actual conditions)

[0076] Table 3 Demand vector F

[0077]

[0078]

[0079] Furthermore, in the above step (2.1.3), the supply vector s is obtained based on the technical field matrix A and the demand vector F, and its calculation formula is: s = A -1 F.

[0080] Further, in the above step (2.2), the environmental intervention matrix, also called the biosphere matrix, describes the emissions and resource consumption released per unit of output. The units in the biosphere matrix are environmental interventions per unit of output (e.g. kg of nitrogen oxides emitted per kg of steel produced).

[0081] The dimension of the environmental intervention sub-matrix b for each spatial location v is (w)*(s*m), where w is the number of environmental exchanges, m is the number of products or services, and s is the number of location spaces in the set S. This is shown in Table 4 below (the data in the table is determined according to actual conditions).

[0082] Table 4 Environmental intervention sub-matrix b

[0083] V1 - process 1 V1 - process 2 v1 - process 3 .... V1 - nox 1 0 0 V1 - sox 1 0 0 V1 - co2 1 0 0 ...

[0084] The environmental intervention matrix B is composed of environmental intervention sub-matrices b, and the position of the sub-matrix b in B corresponds to the position of the location space set S, i.e. the position relationship is as follows:

[0085]

[0086] The dimension of the environmental intervention matrix B is (s*w)*(s*m), where s is the number of elements in the location space set S, m is the number of products or services, and n is the number of environmental exchanges. This is shown in Table 5 below (the data is written according to actual conditions).

[0087] Table 5 Environmental intervention matrix B

[0088]

[0089] Further, in the above step (2.3), in order to calculate the aggregated emissions and resource flows in the life cycle of all processes, the biosphere matrix is multiplied by the supply vector to obtain the inventory G based on the location space set, i.e.

[0090] G = Bs = BA -1 F

[0091] The inventory G based on the location space set is shown in Table 6 below (the data in the table is filled in according to actual conditions).

[0092] Table 6 Inventory G based on the location space set

[0093] lci value V1 - nox 1 V1 - sox 1 V1 - co2 1 ... V2 - nox 0 V2 - sox 0 V2 - co2 0

[0094] The length of the inventory G is s*w.

[0095] Further, the above step (3) includes the following steps:

[0096] (3.1) transforming the spatial position relations of the position space set S into a position space matrix L;

[0097] (3.2) dividing the inventory G based on the position space set S according to the spatial position to obtain a position-related matrix G';

[0098] (3.3) based on the position space matrix L and the matrix G', calculating the inventory D suitable for GIS-LCA.

[0099] Further, the above step (3.1) includes the following steps:

[0100] (3.1.1) based on the spatial position relations between objects in the position space set S, obtaining a position relation matrix.

[0101] Specifically, all objects in the position space set S are compared with the position relations of other objects in it, and the position relations are combined into a matrix form, with a dimension of s*s, as follows:

[0102]

[0103] Wherein, equal represents that the relation of v1 and v1 is equal; within represents that v1 is inside v2; disjoint represents that the relation of v1 and v3 is disjoint. The spatial position relation adopts OGC standard.

[0104] (3.1.2) transforming the position relation matrix obtained in step (3.1.1) into a position space matrix L.

[0105] Specifically, for positions with equal and contains position relations, the value is set to 1, and the others are set to 0, to convert into a spatial position matrix L, represented as:

[0106]

[0107] In special cases: if two position relations are overlap (i.e. superimposed), they can be divided in proportion according to the proportion of superimposed area.

[0108] For example: v2 intersects v1, and 50% of the area of v2 intersects v1, then the second row is changed from the above to:

[0109]

[0110] Furthermore, in the above step (3.2), according to Table 6, since the list G can be regarded as a vector of length s*w; the position space set S can be regarded as an s*s vector; the list G based on the position space set S is transformed into a position-related matrix, that is, the s*w vector is transformed into an s*w matrix. The resulting G' can be expressed as:

[0111]

[0112] Among them, the dimension of G' is (s*w), s is the number of elements in the position space set, and w is the number of exchanges to the space.

[0113] For example, suppose the vector in list G actually looks like this:

[0114] [Qingdao-nox value

[0115] Qingdao-co2 value ....

[0117] Shandong-nox value

[0118] Shandong-co2 value

[0119] ....],

[0120] The position space set S is actually:

[0121] Qingdao, Shandong

[0122] Qingdao[1 0

[0123] Shandong 1 1 ]

[0124] Then G' becomes:

[0125] [Qingdao-nox value Qingdao-co2 value,

[0126] Shandong-NOx value Shandong-CO2 value.]

[0127] Furthermore, in the above step (3.3), the list D suitable for GIS-LCA is expressed as:

[0128] D=LG'

[0129] Among them, L is the position relationship matrix, and G' is the position-related matrix obtained above.

[0130] It should be noted that GIS-LCA is different from traditional LCA and regionalized LCA. Compared with traditional LCA, GIS-LCA takes geographical location into consideration. Although both consider spatial location, regionalized LCA places more emphasis on accuracy.

[0131] Example 2

[0132] The embodiment 1 above provides the inventory calculation and environmental assessment method suitable for GIS-LCA, and correspondingly, the embodiment provides an inventory calculation and environmental assessment system suitable for GIS-LCA. The system provided by the embodiment can implement the inventory calculation and environmental assessment method suitable for GIS-LCA of the embodiment 1. The system can be implemented by software, hardware or a combination of software and hardware. For example, the system can include integrated or separated functional modules or functional units to perform the corresponding steps in the methods of the embodiment 1. Since the system of the embodiment is basically similar to the method embodiment, the description process of the embodiment is relatively simple, and the related parts can be referred to the part of the description of the embodiment 1. The system embodiment provided by the embodiment is only illustrative.

[0133] The system provided by the embodiment suitable for GIS-LCA includes:

[0134] The process data processing module is configured to obtain the location space set S based on the process data of the target product.

[0135] The first inventory calculation module is configured to construct the technical field matrix A and the environmental intervention matrix B for the location space set S, and calculate the inventory G based on the location space set S.

[0136] The second inventory calculation module is configured to convert the location space set S into the location space matrix L, and convert the obtained inventory G to obtain the inventory D suitable for GIS-LCA.

[0137] The evaluation module is configured to use the obtained inventory D suitable for GIS-LCA as the background data of the target product, and perform environmental assessment or green packaging on the target product by using GIS-LCA.

[0138] Embodiment 3

[0139] The embodiment provides a processing device corresponding to the inventory calculation and environmental assessment method suitable for GIS-LCA provided by the embodiment 1. The processing device can be a processing device for a client, such as a mobile phone, a notebook computer, a tablet computer, a desktop computer, etc., to execute the method of the embodiment 1.

[0140] The processing device includes a processor, a memory, a communication interface and a bus. The processor, the memory and the communication interface are connected through the bus to complete the communication among each other. The memory stores a computer program executable on the processor. When the processor executes the computer program, the processor executes the inventory calculation and environmental assessment method suitable for GIS-LCA provided by the embodiment 1.

[0141] In some embodiments, the memory can be a high-speed random access memory (RAM), and can also include a non-volatile memory, such as at least one disk memory.

[0142] In some other embodiments, the processor can be a central processing unit (CPU), a digital signal processor (DSP), or various other types of general purpose processors, without limitation.

[0143] Embodiment 4

[0144] The inventory calculation and environmental assessment method for GIS-LCA of the present embodiment 1 can be embodied as a computer program product, which can include a computer readable storage medium having computer readable program instructions stored therein to perform the inventory calculation and environmental assessment method for GIS-LCA as described in the present embodiment 1.

[0145] The computer readable storage medium can be a tangible device that maintains and stores instructions for use by an instruction execution device. The computer readable storage medium can be, for example but not limited to, an electronic storage device, a magnetic storage device, an optical storage device, an electromagnetic storage device, a semiconductor storage device, or any combination thereof.

[0146] Finally, it should be noted that: the above embodiments are only used to illustrate the technical solutions of the present application rather than limiting them, and although the present application has been described in detail with reference to the above embodiments, those of ordinary skill in the art should understand that the specific embodiments of the present application can be modified or replaced by equivalents without departing from the spirit and scope of the present application, and any modification or equivalent replacement without departing from the spirit and scope of the present application should be covered within the protection scope of the claims of the present application.

Claims

1. A method for inventory calculation and environmental assessment suitable for GIS-LCA, characterized in that, The method comprises the following steps: obtaining a location space set S based on process data of a target product; constructing a technology field matrix A and an environmental intervention matrix B of the location space set S, and calculating an inventory G based on the location space set S; transforming the location space set S into a location space matrix L, and converting the obtained inventory G to obtain an inventory D suitable for GIS-LCA; using the obtained inventory D suitable for GIS-LCA as background data of the target product, and performing environmental assessment on the target product by using GIS-LCA; the transformation of the location space set S into the location space matrix L and the conversion of the obtained inventory G to obtain the inventory D suitable for GIS-LCA comprise: transforming spatial position relations of the location space set S into a spatial position matrix L; The list G based on the position space set S is divided by position to obtain a position-related matrix ; based on the spatial location matrix L and the matrix D adapted to GIS-LCA is computed; the transformation of the spatial position relations of the location space set S into the spatial position matrix L comprises: obtaining a location relation matrix based on spatial position relations between objects in the location space set S; setting values of positions with equal and contains relations in the location relation matrix to 1 and setting other values to 0 to transform into the spatial position matrix L; The list G based on the position space set S is divided by position to obtain a position-related matrix , comprising: regarding the inventory G as a vector with a length of s*w and regarding the location space set S as a vector with a length of s*s; transforming the list G based on the position space set S into a position-dependent matrix, resulting in a position-dependent matrix denoted as: wherein, The dimension of is s*w, s is the number of elements of the position space set, ai is the spatial position v i The corresponding technical field sub-matrix, w is the number of exchanges to the space.

2. The inventory calculation and environmental assessment method suitable for GIS-LCA according to claim 1, wherein, the construction of the technology field matrix A and the environmental intervention matrix B of the location space set S and the calculation of the inventory G based on the location space set S comprise: constructing a technology field matrix A and a demand vector F of the location space set S, and calculating a supply vector s; constructing an environmental intervention matrix B of the location space set S; calculating the inventory G based on the supply vector s and the environmental intervention matrix B.

3. The inventory calculation and environmental assessment method suitable for GIS-LCA according to claim 2, wherein, the construction of the technology field matrix A and the demand vector F of the location space set S and the calculation of the supply vector s comprise: constructing a technology field sub-matrix a and a sub-demand vector f of each spatial position v in the location space set S; summarizing the technology field sub-matrix a and the sub-demand vector f of all spatial positions v to obtain the technology field matrix A and the demand vector F of the location space set S; calculating the supply vector s based on the technology field matrix A and the demand vector F.

4. The inventory calculation and environmental assessment method suitable for GIS-LCA according to claim 2, wherein, the inventory G is: 。 5. The inventory calculation and environmental assessment method suitable for GIS-LCA according to claim 1, wherein, the inventory D suitable for GIS-LCA is represented as: where L is a location space matrix, is a location-dependent matrix.

6. A list calculation and environmental assessment system suitable for GIS-LCA, characterized by, comprise: a process data processing module configured to obtain a location space set S based on process data of a target product; a first inventory calculation module configured to construct a technology field matrix A and an environmental intervention matrix of the location space set S, and calculate an inventory G based on the location space set S; a second inventory calculation module configured to transform the location space set S into a location space matrix L, and convert the obtained inventory G to obtain an inventory D suitable for GIS-LCA; an evaluation module configured to use the obtained inventory D suitable for GIS-LCA as background data of the target product, and perform environmental assessment on the target product by using GIS-LCA; The converting the location space set S into a location space matrix L, transforming the obtained inventory G to obtain an inventory D suitable for GIS-LCA, comprising: The converting the spatial location relationship of the location space set S into a spatial location matrix L comprises: The list G based on the position space set S is divided by position to obtain a position-related matrix ; based on the spatial location matrix L and the matrix D adapted to GIS-LCA is computed; The converting the spatial location relationship of the location space set S into a spatial location matrix L comprises: Obtaining a location relationship matrix based on the spatial location relationship between objects in the location space set S; Setting the value of the location relationship in the location relationship matrix as 1 when the location relationship is equal or contains, and setting other values as 0, to convert into a location space matrix L; The list G based on the location space set S is divided according to the location to obtain the matrix related to the location ,include: Regarding the inventory G as a vector with a length of s*w, and regarding the location space set S as a vector with a length of s*s; transforming the list G based on the position space set S into a position-dependent matrix, to obtain a position-dependent matrix is represented as: wherein, The dimension of is s*w, s is the number of elements of the position space set, ai is the spatial position v i The corresponding technical field sub-matrix, w is the number of exchanges to the space.

7. A computer-readable storage medium storing one or more programs, the one or more programs comprising instructions that when executed by a computer cause the computer to perform a method of any of claims 1-6. The one or more programs include instructions that, when executed by a computing device, cause the computing device to perform any of the methods of claims 1-5.

8. A computing device, comprising: Comprise: 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 one or more programs comprise instructions for performing any of the methods of claims 1-5.

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